THIS IS INCOMPLETE AND HAS A FEW VERY LONG RUN TIME COMMANDS. PROCEED WITH CAUTION.

This tutorial uses the example from the stm vignette as a starting point.

# install the following packages as necessary
library(lda)
library(slam)
library(stm)
stm v1.3.3 (2018-1-26) successfully loaded. See ?stm for help. 
 Papers, resources, and other materials at structuraltopicmodel.com

Reading and preparing data in stm

For this example, we will use a variant of the “PoliBlogs08” data set (Eisenstein and Xing 2010), an example used in the stm vignette. The original data consists of 13246 blogposts scraped from 6 blogs, along with a “rating” as “Conservative” or “Liberal.”

poliblogsFull <- read.csv("poliblogs2008.csv", colClasses = c("character", "character", "character", "factor", "integer", "factor"))
summary(poliblogsFull)
      X              documents           docname         
 Length:13246       Length:13246       Length:13246      
 Class :character   Class :character   Class :character  
 Mode  :character   Mode  :character   Mode  :character  
                                                         
                                                         
                                                         
          rating          day         blog     
 Conservative:7582   Min.   :  1.0   at :3197  
 Liberal     :5664   1st Qu.:110.0   db :1879  
                     Median :201.0   ha :3708  
                     Mean   :193.5   mm : 677  
                     3rd Qu.:277.0   tp :2080  
                     Max.   :366.0   tpm:1705  

For exposition purposes later, it will help to note some basics here. The day variable indicates the day of 2008 the blog was written, running from 1 to 366 since 2008 was a leap year. The blog variable indicates which one of the following six blogs posted the text for that observation:

Variants of this example are available in different places, for STM as well as LDA, SAGE, and a variety of topic models. It’s easy to get confused. There are a variety of prefit STM models for this data that you can download from http://www.princeton.edu/~bms4/VignetteObjects.RData. These are stored in poliblogPrevFit, poliblogContent, and poliblogInteraction and a prerun STM model selection object stored in poliblogSelect. They are run on the object out that is created on page 9 of the stm vignette, and includes 13426 documents and 9244 terms (the terms that appear in more than 15 documents). We will avoid reusing these variable names (running commands directly from the provided vignette will do so).

Also provided in the package are the stm input objects for a sample of 5000 blogs, which we will use here for illustration purposes. These objects are stored in poliblog5k.docs (word counts in stm format), poliblog5k.voc (the vocabulary), and poliblog5k.meta (the metadata).

The meta object also contains a small snippet - up to 50 characters - of the text in a (confusing) list column poliblog5k.meta$text. We will create our own slightly larger snippets - 200 characters - for use in diagnostics later.

Let’s take a look at the first three documents in all three of these formats:

poliblog5k.sample <- as.integer(rownames(poliblog5k.meta))
poliblog5k.fulltext <- poliblogsFull$documents[poliblog5k.sample] 
poliblog5k.shorttext <- substr(poliblog5k.fulltext,1,200)
poliblog5k.meta$text[1:3]
[[1]]
[1] "How happy do you think Team Barry is that, thanks"

[[2]]
[1] "Tough stuff, but conservative passions this year"

[[3]]
[1] "Epic Ideological Failby digbyBefore you listen to"
poliblog5k.shorttext[1:3]
[1] "How happy do you think Team Barry is that, thanks to Clark, the big soundbite from Obama’s latest peroration is going to be his tribute to McCain’s patriotism instead of his own?  Here’s the clip, in "
[2] "Tough stuff, but conservative passions this year have always been more anti-Obama than pro-McCain (at least until Palin joined the ticket) so I’m curious what you guys think.  Nate Silver, a lefty but"
[3] "Epic Ideological Failby digbyBefore you listen to one more wingnut try to tell you that the financial crisis and global recession was caused by irresponsible black people, illegal immigrants and Fanni"
poliblog5k.fulltext[1:3]
[1] "How happy do you think Team Barry is that, thanks to Clark, the big soundbite from Obama’s latest peroration is going to be his tribute to McCain’s patriotism instead of his own?  Here’s the clip, in which Clark isn’t named but is clearly enough the target.  Today’s disquisition follows in the grand Obama tradition of dressing up what is, essentially, a “Checkers” speech designed to get him out of a jam politically as some meditation on the American character for the leg-tingling pleasure of media fanboys across the spectrum.  I wonder if any part of this one will be repudiated at a later date when it becomes inconvenient.Hotline has the full transcript; the part on service is down near the bottom, after the salute to dissidents and his slap at MoveOn.org for the “General Betray Us” smear, which, you’ll recall, His Holiness couldn’t be bothered to condemn in a senate resolution given that he was in the thick of a primary fight at the time.  The takeaway: “I will never question the patriotism of others in this campaign.”  Except, of course, he already has.  He acknowledges at one point in the speech that part of the reason people question his patriotism is due to his own “carelessness,” an oblique reference to his choice to stop wearing the stupid flag pin.  What he doesn’t acknowledge is the reason he stopped wearing it — namely, to draw a distinction between “true” and “false” patriots as he defines them.  He was happy to play patriot games (just like he was happy with his church) until he got to the general election and realized they may not be a winner for him, which is why that pin’s clearly visible on his lapel in the video below.  Out: “New politics.”  In: Machiavellian cunning!The one other interesting line, near the very end, was spotted by DrewM  Equality of opportunity, not equality of results: Consider that another general-election pander from candidate Obama on which President Obama might differ."                                                       
[2] "Tough stuff, but conservative passions this year have always been more anti-Obama than pro-McCain (at least until Palin joined the ticket) so I’m curious what you guys think.  Nate Silver, a lefty but one who usually plays it straight in his poll analyses, gives Maverick a five percent chance at this point and only then if he gives up on Pennsylvania and starts targeting New Hampshire and New Mexico.  Compare that to the thin spreads in various Senate races (as compiled at Silver’s FiveThirtyEight site) that the GOP desperately needs to win to preserve the filibuster: Mitch McConnell, Saxby Chambliss, and Roger Wicker are all clinging to leads of just a few points while Norm Coleman, Liddy Dole, Gordon Smith, and Ted Stevens trail narrowly.  Every last one of them’s an incumbent.  If the RNC pulls the plug on McCain, they could shower those seven with cash for the last week and try to put them over the top.  Or, alternatively, they could stick with Maverick and hope for the best. How lucky do you feel?The stakes according to Frum:He goes so far as to suggest that Senate candidates concede the likelihood of Obama’s victory and run on the sort of divided government platform McCain himself intends to push this week.  Exit question: You’re the chairman of the RNC and your phone’s ringing off the hook with demands for money.  What do you do?  After you print up a few million copies of Treacher’s post and mail it to Republicans, I mean.Update (Ed): What do I do?  I do basic math.  The Republicans are defending 23 seats in the Senate, and the Democrats 13.  There’s no way on God’s green Earth that the GOP will have enough seats to block the Democratic agenda no matter how much the RNC spends; they’ll be lucky to get 43 seats, and they can’t spend the next two years filibustering everything if they plan to win seats back in 2010.  They’re better off spending the money on McCain — his odds are much better than the Senate Republicans."                                      
[3] "Epic Ideological Failby digbyBefore you listen to one more wingnut try to tell you that the financial crisis and global recession was caused by irresponsible black people, illegal immigrants and Fannienfreddie, take this short, simple trip down memory lane with economist Joseph Stiglitz in the latest issue of Vanity Fair. It concludes with this:The truth is most of the individual mistakes boil down to just one: a belief that markets are self-adjusting and that the role of government should be minimal. Looking back at that belief during hearings this fall on Capitol Hill, Alan Greenspan said out loud, “I have found a flaw.” Congressman Henry Waxman pushed him, responding, “In other words, you found that your view of the world, your ideology, was not right; it was not working.” “Absolutely, precisely,” Greenspan said. The embrace by America—and much of the rest of the world—of this flawed economic philosophy made it inevitable that we would eventually arrive at the place we are today.Democrats are working very hard to discredit the very concept of ideology in favor of technocratic competence.  And I would guess most Americans find that to be something of a relief by now. But I think it's as much a mistake to sweep this under the rug as it is to let bygones be bygones on the torture regime. There is ideology and then there is ideology and people should know the difference.  These dogmatic deregulators and market fundamentalists ran a decades long experiment that failed on an epic scale. If the country doesn't understand what went wrong here -- if they get confused by complexity and propaganda --- there is every reason that the free lunch mentality these ideologues promoted will make a comeback the minute we see the light at the end of the tunnel. Ideology matters.Update:   Some of us have talking about this for a long, long time.digby 12/10/2008 08:00:00 PM LinktoComments('8559403618191707814')postCount('8559403618191707814');  | postCountTB('8559403618191707814');"

Note from the full text, especially the third one there from the “Digby” blog, that these were not parsed very carefully (by the original researchers in 2008). Most will tell you not to worry about that. They’re wrong.

Preprocessing within the stm package

The stm package converts a vector of text and a dataframe of metadata into stm formatted objects using the command textProcessor which calls the package tm for its preprocessing routines.

# * default parameters
poliblog5k.proc <- textProcessor(documents=poliblog5k.fulltext,
                                 metadata = poliblog5k.meta,
                                 lowercase = TRUE, #*
                                 removestopwords = TRUE, #*
                                 removenumbers = TRUE, #*
                                 removepunctuation = TRUE, #*
                                 stem = TRUE, #*
                                 wordLengths = c(3,Inf), #*
                                 sparselevel = 1, #*
                                 language = "en", #*
                                 verbose = TRUE, #*
                                 onlycharacter = TRUE, # not def
                                 striphtml = FALSE, #*
                                 customstopwords = NULL, #*
                                 v1 = FALSE) #*
Building corpus... 
Converting to Lower Case... 
Removing punctuation... 
Removing stopwords... 
Removing numbers... 
Stemming... 
provided 5000 variables to replace 1 variables
Creating Output... 

The processed object is a list of four objects: documents, vocab, meta, and docs.removed. The documents object is a list, one per document, of 2 row matrices; the first row indicates the index of a word found in the document, and the second row indicates the (nonzero) counts. If preprocessing causes any documents to be empty, they are removed, as are the corresponding rows of the meta object.

These objects are in turn passed to the prepDocuments function, which filters vocabulary, and again removes empty documents and corresponding rows in the metadata. The authors of stm say it struggles with extremely large vocabularies, and in the vignette example filter to under 10000 terms by eliminating those terms that don’t appear in more than 15 documents. The data objects provided in the package or poliblog5k seem to filter out terms that don’t appear in more than 50 documents, leaving about 2600-2800 terms.

poliblog5k.out <- prepDocuments(poliblog5k.proc$documents, poliblog5k.proc$vocab, poliblog5k.proc$meta, lower.thresh=50)
Removing 27200 of 29917 terms (148730 of 850617 tokens) due to frequency 
Your corpus now has 5000 documents, 2717 terms and 701887 tokens.

(The number of terms, 2717, is more than the 2632 in the provided poliblog5k.voc. The mismatches seem to be in words with punctuation in the middle – like “re-elect” or “you’re” – and I can’t seem to make them match exactly with textProcessor options.)

Preprocessing within quanteda

We’ve mostly read in and processed data with quanteda, so it’s worth noting that you can do that and then use the convert function to convert to stm and a variety of other formats.

library(quanteda)
Package version: 1.4.1
Parallel computing: 2 of 8 threads used.
See https://quanteda.io for tutorials and examples.

Attaching package: ‘quanteda’

The following object is masked from ‘package:utils’:

    View
poliblog5k.fullmeta <- data.frame(doc_id=rownames(poliblog5k.meta), poliblog5k.meta, shorttext=poliblog5k.shorttext, fulltext=poliblog5k.fulltext, stringsAsFactors=FALSE)
poliblog5k.corpus <- quanteda::corpus(poliblog5k.fullmeta, docid_field="doc_id",text_field="fulltext")
poliblog5k.dfm <- quanteda::dfm(poliblog5k.corpus,
                                tolower=TRUE,
                                stem=TRUE,
                                remove=stopwords("english"),
                                remove_numbers=TRUE,
                                remove_punct=TRUE,
                                remove_symbols=TRUE,
                                ngrams=1)
dim(poliblog5k.dfm)
[1]  5000 50853

Again, let’s trim that to words appearing in more than 50 documents.

poliblog5k.dfm <- dfm_trim(poliblog5k.dfm, min_docfreq=51, docfreq_type="count")
dim(poliblog5k.dfm)
[1] 5000 2659

Yet another slightly different count.

In any case, we convert to stm format using

poliblog5k.dfm2stm <- quanteda::convert(poliblog5k.dfm, to = "stm")
names(poliblog5k.dfm2stm)
[1] "documents" "vocab"     "meta"     

Modeling without metadata structure

Let’s start with running this like a topic model without structure. It’s not exact, but this is very similar to the SAGE (Eisenstein, et al.) sparse estimation of a model with a correlated topic model (CTM) generative process (Blei, et al.)

# Spectral initialization is advised by the authors
#    Should replicate exactly under spectral initialization
#
# This takes about 30 seconds.
poliblog5k.fit.nometa <- stm(documents = poliblog5k.docs, 
                     vocab = poliblog5k.voc,
                     K = 20,
                     max.em.its = 75,
                     data = poliblog5k.meta,
                     init.type = "Spectral")
Beginning Spectral Initialization 
     Calculating the gram matrix...
     Finding anchor words...
    ....................
     Recovering initialization...
    ..........................
Initialization complete.
....................................................................................................
Completed E-Step (4 seconds). 
Completed M-Step. 
Completing Iteration 1 (approx. per word bound = -7.057) 
....................................................................................................
Completed E-Step (3 seconds). 
Completed M-Step. 
Completing Iteration 2 (approx. per word bound = -6.964, relative change = 1.323e-02) 
....................................................................................................
Completed E-Step (4 seconds). 
Completed M-Step. 
Completing Iteration 3 (approx. per word bound = -6.935, relative change = 4.205e-03) 
....................................................................................................
Completed E-Step (3 seconds). 
Completed M-Step. 
Completing Iteration 4 (approx. per word bound = -6.921, relative change = 1.924e-03) 
....................................................................................................
Completed E-Step (3 seconds). 
Completed M-Step. 
Completing Iteration 5 (approx. per word bound = -6.914, relative change = 1.062e-03) 
Topic 1: legisl, bill, presid, court, law 
 Topic 2: democrat, republican, parti, conserv, gop 
 Topic 3: think, peopl, like, know, one 
 Topic 4: health, school, abort, care, women 
 Topic 5: get, one, can, show, will 
 Topic 6: obama, barack, campaign, polit, wright 
 Topic 7: race, campaign, franken, vote, senat 
 Topic 8: iran, israel, attack, will, terrorist 
 Topic 9: obama, senat, said, biden, joe 
 Topic 10: will, american, tax, economi, energi 
 Topic 11: obama, mccain, poll, state, campaign 
 Topic 12: iraq, war, iraqi, troop, militari 
 Topic 13: one, time, report, year, new 
 Topic 14: bush, presid, said, news, white 
 Topic 15: mccain, john, campaign, palin, said 
 Topic 16: world, nation, will, russia, war 
 Topic 17: elect, vote, voter, state, immigr 
 Topic 18: investig, report, senat, state, case 
 Topic 19: tax, billion, money, hous, govern 
 Topic 20: hillari, clinton, obama, will, primari 
....................................................................................................
Completed E-Step (3 seconds). 
Completed M-Step. 
Completing Iteration 6 (approx. per word bound = -6.910, relative change = 6.441e-04) 
....................................................................................................
Completed E-Step (3 seconds). 
Completed M-Step. 
Completing Iteration 7 (approx. per word bound = -6.907, relative change = 4.201e-04) 
....................................................................................................
Completed E-Step (3 seconds). 
Completed M-Step. 
Completing Iteration 8 (approx. per word bound = -6.905, relative change = 2.849e-04) 
....................................................................................................
Completed E-Step (3 seconds). 
Completed M-Step. 
Completing Iteration 9 (approx. per word bound = -6.903, relative change = 1.956e-04) 
....................................................................................................
Completed E-Step (3 seconds). 
Completed M-Step. 
Completing Iteration 10 (approx. per word bound = -6.902, relative change = 1.361e-04) 
Topic 1: court, legisl, law, bill, presid 
 Topic 2: democrat, republican, parti, conserv, elect 
 Topic 3: think, peopl, like, know, say 
 Topic 4: school, women, health, care, abort 
 Topic 5: get, one, can, show, don 
 Topic 6: obama, barack, campaign, polit, wright 
 Topic 7: race, campaign, senat, franken, gop 
 Topic 8: iran, israel, attack, terrorist, will 
 Topic 9: obama, senat, said, biden, joe 
 Topic 10: will, american, tax, economi, energi 
 Topic 11: obama, mccain, poll, state, voter 
 Topic 12: iraq, war, iraqi, militari, troop 
 Topic 13: time, report, new, stori, one 
 Topic 14: bush, presid, said, news, white 
 Topic 15: mccain, palin, john, campaign, sarah 
 Topic 16: world, nation, will, countri, america 
 Topic 17: elect, vote, voter, state, immigr 
 Topic 18: report, investig, offici, senat, offic 
 Topic 19: money, financi, billion, govern, million 
 Topic 20: hillari, clinton, will, primari, obama 
....................................................................................................
Completed E-Step (3 seconds). 
Completed M-Step. 
Completing Iteration 11 (approx. per word bound = -6.902, relative change = 9.636e-05) 
....................................................................................................
Completed E-Step (3 seconds). 
Completed M-Step. 
Completing Iteration 12 (approx. per word bound = -6.901, relative change = 6.891e-05) 
....................................................................................................
Completed E-Step (3 seconds). 
Completed M-Step. 
Completing Iteration 13 (approx. per word bound = -6.901, relative change = 4.963e-05) 
....................................................................................................
Completed E-Step (3 seconds). 
Completed M-Step. 
Completing Iteration 14 (approx. per word bound = -6.901, relative change = 3.610e-05) 
....................................................................................................
Completed E-Step (3 seconds). 
Completed M-Step. 
Completing Iteration 15 (approx. per word bound = -6.901, relative change = 2.613e-05) 
Topic 1: court, law, legisl, bill, tortur 
 Topic 2: democrat, republican, parti, elect, will 
 Topic 3: think, peopl, like, know, say 
 Topic 4: women, school, children, care, health 
 Topic 5: get, one, show, don, can 
 Topic 6: obama, barack, campaign, polit, wright 
 Topic 7: race, senat, campaign, gop, rep 
 Topic 8: iran, israel, attack, terrorist, will 
 Topic 9: obama, senat, said, biden, joe 
 Topic 10: will, tax, american, economi, energi 
 Topic 11: obama, mccain, poll, state, voter 
 Topic 12: iraq, war, militari, iraqi, troop 
 Topic 13: time, report, new, stori, one 
 Topic 14: bush, presid, said, news, white 
 Topic 15: mccain, palin, john, campaign, sarah 
 Topic 16: world, nation, will, america, countri 
 Topic 17: elect, vote, voter, state, immigr 
 Topic 18: report, investig, offici, offic, depart 
 Topic 19: money, financi, million, govern, billion 
 Topic 20: hillari, clinton, will, primari, campaign 
....................................................................................................
Completed E-Step (3 seconds). 
Completed M-Step. 
Completing Iteration 16 (approx. per word bound = -6.900, relative change = 1.869e-05) 
....................................................................................................
Completed E-Step (3 seconds). 
Completed M-Step. 
Completing Iteration 17 (approx. per word bound = -6.900, relative change = 1.369e-05) 
....................................................................................................
Completed E-Step (3 seconds). 
Completed M-Step. 
Completing Iteration 18 (approx. per word bound = -6.900, relative change = 1.002e-05) 
....................................................................................................
Completed E-Step (3 seconds). 
Completed M-Step. 
Model Converged 
## suppress all this output with verbose=FALSE

We can get a detailed overview of key terms for every topic (or some) using the labelTopics command. This command provides the top words according to four different statistics, “highest probability” (just \(\beta\)), “FREX”, “Lift”, and “Score.” FREX is very similar to PMI and typically I find it most helpful.

labelTopics(poliblog5k.fit.nometa)
OMP: Warning #96: Cannot form a team with 8 threads, using 2 instead.
OMP: Hint Consider unsetting KMP_DEVICE_THREAD_LIMIT (KMP_ALL_THREADS), KMP_TEAMS_THREAD_LIMIT, and OMP_THREAD_LIMIT (if any are set).
Topic 1 Top Words:
     Highest Prob: court, law, legisl, tortur, bill, presid, bush 
     FREX: legisl, tortur, court, constitut, law, detaine, suprem 
     Lift: legisl, surveil, detaine, judici, interrog, detent, guantanamo 
     Score: legisl, tortur, court, detaine, law, interrog, cia 
Topic 2 Top Words:
     Highest Prob: democrat, republican, parti, elect, will, conserv, vote 
     FREX: republican, parti, democrat, conserv, pelosi, gop, progress 
     Lift: lean, pelosi, centrist, nanci, republican, speaker, boehner 
     Score: lean, republican, democrat, parti, gop, conserv, vote 
Topic 3 Top Words:
     Highest Prob: think, peopl, like, say, know, one, just 
     FREX: thing, linktocommentspostcount, postcounttb, guy, think, realli, someth 
     Lift: sorri, digbyi, idiot, linktocommentspostcount, postcounttb, digbi, dday 
     Score: sorri, think, linktocommentspostcount, postcounttb, guy, know, thing 
Topic 4 Top Words:
     Highest Prob: women, school, children, care, abort, life, educ 
     FREX: abort, school, children, gay, women, religi, educ 
     Lift: stem, abort, gay, religi, birth, teach, cathol 
     Score: stem, abort, school, church, women, gay, children 
Topic 5 Top Words:
     Highest Prob: get, one, show, don, can, like, doesn 
     FREX: film, doesn, isn, video, eastern, didn, don 
     Lift: chat, seedubya, film, hollywood, clip, movi, scroll 
     Score: chat, film, don, movi, eastern, didn, doesn 
Topic 6 Top Words:
     Highest Prob: obama, barack, campaign, polit, wright, black, ayer 
     FREX: wright, ayer, barack, obama, black, chicago, rezko 
     Lift: rezko, wright, ayer, jeremiah, reverend, racist, racism 
     Score: rezko, obama, wright, barack, ayer, campaign, jeremiah 
Topic 7 Top Words:
     Highest Prob: race, senat, gop, campaign, rep, new, dem 
     FREX: franken, coleman, rep, smith, minnesota, dem, race 
     Lift: franken, coleman, smith, minnesota, mitch, mcconnel, norm 
     Score: franken, coleman, dem, ballot, gop, minnesota, rep 
Topic 8 Top Words:
     Highest Prob: iran, israel, attack, terrorist, will, nuclear, iranian 
     FREX: israel, iran, isra, hama, iranian, terrorist, palestinian 
     Lift: gaza, hama, isra, palestinian, israel, jew, osama 
     Score: hama, iran, israel, isra, iranian, palestinian, nuclear 
Topic 9 Top Words:
     Highest Prob: obama, senat, said, biden, debat, joe, polici 
     FREX: biden, joe, debat, lieberman, senat, foreign, polici 
     Lift: lieberman, biden, joe, plumber, graham, debat, readi 
     Score: lieberman, obama, biden, senat, joe, debat, foreign 
Topic 10 Top Words:
     Highest Prob: will, tax, american, economi, energi, oil, year 
     FREX: oil, energi, tax, economi, price, drill, econom 
     Lift: coal, drill, unemploy, gas, offshor, oil, effici 
     Score: coal, tax, oil, economi, energi, drill, price 
Topic 11 Top Words:
     Highest Prob: obama, poll, mccain, state, voter, lead, percent 
     FREX: poll, pennsylvania, percent, virginia, margin, ralli, ohio 
     Lift: gallup, undecid, rasmussen, pollster, pennsylvania, poll, colorado 
     Score: gallup, poll, obama, mccain, voter, rasmussen, percent 
Topic 12 Top Words:
     Highest Prob: iraq, war, militari, troop, iraqi, forc, afghanistan 
     FREX: iraqi, troop, iraq, afghanistan, pentagon, armi, withdraw 
     Lift: sadr, maliki, almaliki, basra, baghdad, petraeus, militia 
     Score: sadr, iraq, iraqi, troop, militari, afghanistan, taliban 
Topic 13 Top Words:
     Highest Prob: report, time, new, stori, year, one, york 
     FREX: warm, global, publish, newspap, editor, stori, dead 
     Lift: ice, scientist, warm, flight, editor, newspap, publish 
     Score: ice, global, warm, stori, polic, report, scientist 
Topic 14 Top Words:
     Highest Prob: bush, presid, said, news, white, administr, hous 
     FREX: fox, rove, bush, cheney, white, interview, watch 
     Lift: rove, olbermann, flv, karl, cheney, fox, keith 
     Score: rove, bush, cheney, fox, presid, administr, rice 
Topic 15 Top Words:
     Highest Prob: mccain, palin, john, campaign, sarah, attack, say 
     FREX: palin, mccain, sarah, john, alaska, clark, romney 
     Lift: clark, palin, sarah, mccain, giuliani, rudi, pow 
     Score: clark, mccain, palin, sarah, romney, john, campaign 
Topic 16 Top Words:
     Highest Prob: world, nation, will, america, countri, war, state 
     FREX: russia, russian, world, georgia, democraci, china, europ 
     Lift: russian, russia, soviet, germani, europ, german, korea 
     Score: russian, russia, world, georgia, soviet, nato, china 
Topic 17 Top Words:
     Highest Prob: elect, vote, voter, state, immigr, group, organ 
     FREX: immigr, acorn, illeg, fraud, union, registr, counti 
     Lift: registr, acorn, immigr, alien, fraud, licens, counti 
     Score: registr, acorn, voter, immigr, fraud, vote, illeg 
Topic 18 Top Words:
     Highest Prob: report, investig, offici, offic, depart, case, state 
     FREX: investig, blagojevich, attorney, depart, staff, appoint, prosecut 
     Lift: blagojevich, rod, fbi, investig, probe, indict, prosecut 
     Score: blagojevich, investig, attorney, depart, prosecut, fbi, prosecutor 
Topic 19 Top Words:
     Highest Prob: money, financi, million, govern, billion, hous, market 
     FREX: financi, bailout, mortgag, loan, earmark, taxpay, billion 
     Lift: earmark, paulson, freddi, mae, subprim, treasuri, bailout 
     Score: earmark, mortgag, bailout, billion, loan, paulson, market 
Topic 20 Top Words:
     Highest Prob: hillari, clinton, primari, will, campaign, win, democrat 
     FREX: hillari, clinton, deleg, primari, edward, nomin, michigan 
     Lift: deleg, superdeleg, hillari, dnc, edward, clinton, super 
     Score: deleg, hillari, clinton, superdeleg, primari, romney, edward 

Going through these … rough guesses at the topics seem to be.

  1. Law, esp re torture
  2. Political parties
  3. ???? Informal/personal, Digby, post junk (We’ll come back to this)
  4. Seems to be a mixture: Religious issues (including abortion, gay rights, stem cells) and women / children / education
  5. ???? Contractions? Movies? (We’ll come back to this)
  6. Obama campaign (including Jeremiah Wright, Bill Ayers)
  7. Senate
  8. Middle East (Israel, Iran, Gaza, Hamas)
  9. Joes? Biden / Lieberman.
  10. Energy, oil/gas prices
  11. General election polls
  12. Wars - Iraq/Afghanistan
  13. Mixture? Media/reporting and global warming
  14. Bush administration
  15. McCain campaign / Republican primary
  16. Foreign affairs
  17. Voting incl ACORN and voter fraud / illegal immigrants
  18. Rod Blagojevich scandal
  19. Financial crisis
  20. Hillary Clinton / Democratic primary

Some of these look a bit “undercooked,” meaning a model with more topics might have separated them (e.g., 4 and 13). Some may be spurious (e.g., 9, which may be about Senators, may be about vice presidential possibilities, may be about the democratic primary, or may just be triggering on correlations with the word “Joe”). Some of these appear at first blush to be “junk” (e.g., 3 and 5).

We can get an overview of the distribution of these topics by plotting the fit object:

plot(poliblog5k.fit.nometa)

We can find the top documents associated with a topic with the findThoughts function:

findThoughts(poliblog5k.fit.nometa,texts = poliblog5k.fulltext, n = 2, topics = c(6))

 Topic 6: 
     The New York Sun is reporting that Barack Obama repudiated the views of Nation of Islam leader Louis Farrakhan that were discussed in Richard Cohen's Washington Post column. Cohen's criticism regarding Obama's ties to the Church and the Pastor that gave an award to Farrakhan were reaching a large audience that included potential Democrat voters who might be swayed to withdraw support from Obama. This statement by Obama is a political maneuver that should be given little credence. Obama is very actively involved in his church; he knew of this award long before Richard Cohen publicized its grant to Farrakhan. Furthermore, Pastor Wright has had a long relationship and alliance with Louis Farrakhan. Obama did not object to these ties between Pastor Wright and Farrakhan before; nor has Obama rejected the anti-Israel diatribes of Wright. Regardless, Obama adheres to a church and a minister that have long espoused positions inimical to the American-Israel relationship, let alone the trumpeting of black values and racial exclusiveness. This follows a pattern for Obama: he shows extreme loyalty to a church and pastor whose controversial views eventually become publicized. Then Obama "disappears" the Minister and Obama's campaign (not Obama himself) issues a statement that Obama does not agree with everything that Wright espouses. He solicits and gains support from the controversial George Soros, a man whose anti-Israel passions and allegations regarding America's Jewish community and Congress are well-known. When these ties become publicized, Obama's campaign (not Obama himself) issues a statement that Obama does not agree with Soros on this topic. When Obama articulates anti-Israel positions in off-the cuff remarks, his campaign (not Obama himself-stop me if you have heard this before) issues clarifications that attempt to explain away the plain English import of Obama's (the supreme orator) expressed views.In other words, Obama only disavows when it is politically opportune to do so. He seems to have never objected to these views before they become publicized and create a political firestorm because they belie his image of peace, compassion, unity. Obama is not a profile in courage and his disavowals are political pabulum.For a review of Obama's troubling stance toward Israel, see my article today, "Barack Obama and Israel."
    How far can 527 groups go before they create more of a backlash than forward momentum?  Opposing 527s have unveiled ads that may answer that question. A pro-Obama 527 makes an issue of McCain’s health and Sarah Palin’s inexperience, while a pro-McCain group talks about Obama’s connections with William Ayers, Tony Rezko, and Jeremiah Wright.Let’s give the opposition first shot:By comparison, this ad is much more mild — more fact-based, for one thing, and even understated.  Obama didn’t just “associate” with William Ayers, he worked with Ayers for years at the Chicago Annenberg Challenge and the Woods Fund.  Rezko raised over $250,000 for Obama, who lied twice about the funding during the course of this campaign.  The most controversial part of the ad will be the Jeremiah Wright link.  Obama already threw his former pastor under the bus and quit Trinity United Church of Christ, and his supporters will argue that this is old news.  Still, Obama sat in his church for over 20 years while Wright offered his radical, conspiratorial theories on race and American politics, and Obama didn’t break those ties until Wright suggested that Obama was just playing politics by publicly rebuking him.JCW decided to take the high road in its approach.  National Nurses Organizing Committee took a decidedly different approach.

These both appear to be conservative discussion of Obama and particularly associations with controversial people like Ayers and Wright. So that looks ok.

We can look at multiple, or all, topics this way as well. For this we’ll just look at the shorttext.

findThoughts(poliblog5k.fit.nometa,texts = poliblog5k.shorttext, n = 3, topics = 1:20)

 Topic 1: 
     As you may have heard by now, Barack Obama voted for the FISA cave-in bill in the Senate today, and Hillary voted against it.  Hillary has now explained her vote in a new statement...  The legislation
    New wiretapping bill dubbed ‘repugnant’ and ‘a capitulation.’                   Under a “compromise” wiretapping bill the House is expected to approve tomorrow, U.S. phone companies that cooperated with President
    In Radio Address, Bush Hypes Consequences of Wiretapping Law Expiration                     In his weekly radio address, President Bush not only blames Congress for tonight’s expiration of the Protect America Act,  
 Topic 2: 
     Two successive national-election losses still hasn’t clued Republicans into the need for dramatic change in their direction.  The House GOP caucus rejected a plan by John Boehner and Eric Cantor to im
    Here's yet more evidence that the Dems are poised for huge gains in Congress: The Cook Report has released a new set of updated rankings on 25 House races -- and all 25 are shifts in the Dems' directi
    This is really something. We already knew that House Dems are expected to rack up major victories this fall, but this latest development is really eye-opening.  The Cook Political Report, whose rating 
 Topic 3: 
     What's Wrong With This Picture?by digby Here are who the Telegraph considers to be the 50 most influential political pundits in America. The following are the top choices starting with number 10, Mark
    Tears Of A Clownby digby“I don’t think people look at me as the establishment, do you?” Matthews asked me. “Am I part of the winner’s circle in American life? I don’t think so.”I just read the Chris M
    “I think we’ve all been demeaned.”by tristeroIndeed we all have,, whether or not we ever saw a Swift Boat. But this is what movement conservatives do with emotionally weighty situations or actions. Th 
 Topic 4: 
     Washington University refuses to back down on Schlafly award.                      Today, Washington University chancellor Mark Wrighton finally responded to the intense criticism the school has been receiving over 
    Right-Wing Ad Tries To Frighten Minorities By Comparing Embryonic Stem Cell Research To Tuskegee Study                      Up for consideration in Michigan is Proposal 2, a measure to permit embryonic stem cell res
    McCain spent about half of his speech yesterday to the N.A.A.C.P. outlining his education plans for America. The audience heard an approach much different than the plan proposed by Senator Obama.McCai 
 Topic 5: 
     The Northern Alliance Radio Network will be on the air today, with our eight-hour-long broadcast schedule starting at 9 am CT.  If you’re in the Twin Cities, you can hear us on AM 1280 The Patriot, or
    Today, on the Ed Morrissey Show (3 pm ET), we’re thrilled to welcome back Mary Katharine Ham.  MK and I will talk about the latest developments in the Blago-Rahma scandal, the Joe Scarborough takedown
    Just buying the tickets to this film felt like a guilty pleasure.  What could be more cheesy than a movie musical with serious actors like Meryl Streep, Julie Walters, Pierce Brosnan, Colin Firth, and 
 Topic 6: 
     The New York Sun is reporting that Barack Obama repudiated the views of Nation of Islam leader Louis Farrakhan that were discussed in Richard Cohen's Washington Post column. Cohen's criticism regardin
    How far can 527 groups go before they create more of a backlash than forward momentum?  Opposing 527s have unveiled ads that may answer that question. A pro-Obama 527 makes an issue of McCain’s health
    The Washington Post editorial board follows the lead in some ways of the New York Times, which pretends that Jeremiah Wright suddenly popped out of the ground this week, offering lunatic conspiracy th 
 Topic 7: 
     Here's tonight's run-down on the Congressional races:  Coleman Suspends Negative Ads, Sort Of Sen. Norm Coleman (R-MN), who has fallen behind in the polls against Al Franken thanks to the economic cri
    It now looks like the Senate GOP could end up trying to block the seating of Al Franken, assuming he is declared the winner next week in the Minnesota recount. NRSC chairman John Cornyn put out a stat
    So will any of the wrongly-rejected absentee ballots in Minnesota, which have been the subject of copious litigation between the Franken and Coleman campaigns, actually get counted? The latest report  
 Topic 8: 
     The Israelis have sent  a warning to Gaza and its Hamas leadership after the latest rocket attack on  Ashkelon. If the attacks continue, Israel will invade Gaza and conduct  large-scale military opera
    Three “Middle Eastern militants” are in custody in the Philippines for plotting to attack the US embassy in Manila, as well as three other embassies in the capital.  Authorities suspect them of belong
    Those of us who questioned Jimmy Carter's ability to bring peace to the Israeli-Palestinian conflict, we should be ashamed of ourselves. The former President, it turns out, has everything all worked o 
 Topic 9: 
     Barack Obama is  reportedly sending signals that he wants Joe Lieberman to stay in the Dem caucus.  But let's not get distracted. The question isn't whether Lieberman gets to "stay in the Dem caucus" 
    The Obama and McCain campaigns just jointly announced that they've reached an agreement on the format for three presidential debates and one veep one.  The agreement features an interesting variety of
    We now have a third Senator  stepping up and strongly condemning the idea of Joe Lieberman remaining as Homeland Security chair: Senator Byron Dorgan of North Dakota...     Dorgan hammered Lieberman f 
 Topic 10: 
     In a speech just now in Grand Rapids, Michigan, Barack Obama departed from the prepared remarks and unleashed some of his most empathetic language yet about people's economic distress.  Obama reiterat
    In a speech going on right now in Montgomery County, Pennsylvania, a Philadelphia suburb, Barack Obama wades a bit deeper into the action on the bailout package, urging the House to pass it today and 
    Truckers rolled into Washington DC to protest the price of a fill-up, while Barack Obama continued to oppose both Hillary Clinton and John McCain on a gas-tax “holiday”.   Obama’s opposition to the ga 
 Topic 11: 
     Here's our daily composite of the five major national tracking polls. Barack Obama's lead may have contracted slightly since yesterday -- but the overall difference is very small, and he remains well 
    A new set of Rasmussen polls, all conducted yesterday in the middle of John McCain's post-convention bounce, suggests that this race remains close on the state-by-state level.  • In Colorado, Obama 
    Here's our daily composite of the five major national tracking polls. Barack Obama is holding on to his big lead over John McCain, which has remained relatively unchanged since the financial meltdown  
 Topic 12: 
     The fighting that has erupted in Basra should come as no surprise to anyone who has followed the course of the war in Iraq.  While the US has spent the last year increasing force size in western Iraq 
    Thanks to our good friends in the Pakistani government, several hundred Taliban fighters have inflitrated across the border from their bases in the northwest frontier provinces and are seizing village
    In a joint US-Iraqi operation that began in May in the northern Iraqi city of Mosul directed at al-Qaeda's last redoubt, the Times OnLine reports that the Iraqis have achieved a spectacular success an 
 Topic 13: 
     Climate change report forecasts global sea levels to rise up to 4 feet by 2100.                    According to a new report led by the U.S. Geological Survey, the U.S. “faces the possibility of much more rapid cl
    The Australian reports a few inconvenient truths regarding global climate change that have yet to receive much attention from a media sold on global warming.  Not only has the Earth cooled since its p
    Kudos to John L. Daly, who has written a very interesting study of ice at the North Pole. Global Warmists are once again observing cyclical changes and declaring them "proof" of the dire effects of gl 
 Topic 14: 
     Karl Rove orchestrating the ‘Bush Legacy project.’                     President Bush’s interview with ABC’s Charlie Gibson this week was the “first of several planned ‘exit interviews.’” According to White House p
    MSNBC: White House Has Had A Copy Of McClellan’s Memoir For ‘At Least A Month’                      MSNBC correspondent Jeannie Ohm reported breaking news this afternoon that former White House Press Secretary Scott
    Bush Is ‘Puzzled’ By McClellan’s Book, Didn’t Think It Would Be So ‘Harsh’                      Earlier today, White House Press Secretary Dana Perino put out a statement bashing former press secretary Scott McClell 
 Topic 15: 
     The Bridge To Nowhere Lie Returns: McCain Claims Palin ‘Stood Up Against’ The Project                      After the talking point was thoroughly debunked, the McCain campaign slowly backed away from the claim that 
    Media Embrace McCain’s ‘Maverick’ Re-Branding Effort                    By choosing Gov. Sarah Palin (R-AK) as his running mate, Sen. John McCain (R-AZ) has tried to reinvigorate the perception that he is a “maver
    The McCain campaign, keeping up the pressure over Wes Clark's comments, is holding its second conference call on this topic in two days -- but now the story has taken a new turn, with a McCain surroga 
 Topic 16: 
     Barack Obama has released the following statement on the Russia-Georgia War:  Good morning. The situation in Georgia continues to deteriorate because of the escalation of Russia's use of military forc
    It's after the jump. Dig in. Video and more soon.  Late Update: Here's the vid...               Thank you to the citizens of Berlin and to the people of Germany. Let me thank Chancellor Merkel and Foreign Min
    This is kind of fun. In a big speech John McCain just delivered on nuclear proliferation, there was an amusing little nugget that seemed like a pretty obvious effort to dispel worries about his age:   
 Topic 17: 
     ACORN and its “affiliate”, Project Vote, claimed that they have registered over 1.3 million new voters in this election cycle.  Even when counting Mickey Mouse and the starting lineup of the Dallas Co
    The laughably and ironically nicknamed Free State (lose the r and it would be more accurate) is already one of only 8 states that allow illegal aliens to obtain drivers licenses.  Several local govern
    Right Wing Rages Against New Voter Registrations: The ‘Purpose’ Of ACORN Is To Commit ‘Voter Fraud’                     This week, the New York Times reported that “tens of thousands of eligible voters in at least  
 Topic 18: 
     It's all over but the weeping for the corrupt governor of Illinois. The Chicago Tribune  is reporting that Governor Rod Blagojevich's most trusted advisor and friend wore a wiretap authorized by a fed
    The Anchorage Daily News is reporting that an FBI agent who worked on the criminal case against Ted Stevens has filed an 8 page complaint charging his fellow agents and the prosecution with misconduct
    It seems that Attorney General Designee Eric Holder forgot to list that Illinois Governor Rod Blagojevich tried to hire him to sort out the state's long dormant casino license on his 47-page response  
 Topic 19: 
     The bailout is ballooning. Imagine that. Some estimates now put the total bill at over 8 trillion dollars.Those of you who thought that the money was going to the poor folks holding bad mortgages need
    When the New York Times refers to the bailout plan for Citigroup as "radical," it must be somewhere out near Mars: Federal regulators approved a radical plan to stabilize Citigroup  in an arrangement 
    IndyMac seized by regulators, marking second largest bank failure in U.S. history.                      Late yesterday, the Federal Deposit Insurance Corporation (FDIC) and the Office of Thrift Supervision (OTS) “to 
 Topic 20: 
     The news nets are still tabulating delegates won by all the candidates last night and we probably won't have any firm numbers until later this afternoon. But NBC and the Obama campaign are in near agr
    The Hillary campaign has a new statement out responding to the Obama camp's claim that they won more delegates in Nevada:  Hillary Clinton won the Nevada Caucuses today by winning a majority of the de
    Senator Barack Obama won all three Democratic contests on Saturday, sweeping caucuses in Washington State and Nebraska while thumping Hillary Clinton in the Louisiana primary:While Mr. Obama’s victori

The first three in Topic 1 are about FISA and wiretapping … not torture … so that may be a more general “legislation / law” topic. The first three in Topic 13 are all about global warming, so that merits a closer inspection.

The plotQuote function will give you similar information in a more graphical format.

firstdocs.13 <- findThoughts(poliblog5k.fit.nometa,texts = poliblog5k.shorttext, n = 5, topics = c(13))$docs[[1]]
plotQuote(firstdocs.13, main="Top Documents, Topic 13 - Global Warming?")

The default label of “report, new, time” – which probably indicates a lot of “A New York Times report …” – may be misleading. These five are all criticisms of “global warmists” with several discussing the “coming ice age.”

Or we can go back to words and our old friend the wordcloud:

cloud(poliblog5k.fit.nometa, topic=13, scale=c(2,.25))

Boy. It’s tough to call that “global warming.” The vast majority of those words are media related. We would really need to look closely at the documents to see what’s going on.

Modeling with metadata

But let’s move on. STM’s bread and butter is in incorporating “structure” by modeling on metadata.

In the vignette example, the authors model “prevalence” of topics on “rating” and “s(day)”. The latter calculates a smoothed function (a b-spline) across the variable, appropriate for a variable like day that takes on continuous or many values.

Let’s do that.

poliblog5k.fit.rat_day <- stm(documents = poliblog5k.docs, 
                     vocab = poliblog5k.voc,
                     K = 20,
                     prevalence =~ rating + s(day),
                     max.em.its = 75,
                     data = poliblog5k.meta,
                     init.type = "Spectral",
                     verbose=FALSE)

Or we might think just rating matters.

poliblog5k.fit.rat_only <- stm(documents = poliblog5k.docs, 
                     vocab = poliblog5k.voc,
                     K = 20,
                     prevalence =~ rating,
                     max.em.its = 75,
                     data = poliblog5k.meta,
                     init.type = "Spectral",
                     verbose=FALSE)

Or we might think just day matters.

poliblog5k.fit.day_only <- stm(documents = poliblog5k.docs, 
                     vocab = poliblog5k.voc,
                     K = 20,
                     prevalence =~ s(day),
                     max.em.its = 75,
                     data = poliblog5k.meta,
                     init.type = "Spectral",
                     verbose=FALSE)

Or maybe it’s blog and day.

poliblog5k.fit.blog_day <- stm(documents = poliblog5k.docs, 
                     vocab = poliblog5k.voc,
                     K = 20,
                     prevalence =~ blog + s(day),
                     max.em.its = 75,
                     data = poliblog5k.meta,
                     init.type = "Spectral",
                     verbose=FALSE)

It turns out this makes almost no difference to the model. These documents are long enough that the influence of the prior from the covariate structure is imperceptible,

# Beta for topic 1
cor(poliblog5k.fit.nometa$beta[[1]][[1]][1,],poliblog5k.fit.rat_day$beta[[1]][[1]][1,])
[1] 0.9999778
cor(poliblog5k.fit.nometa$beta[[1]][[1]][1,],poliblog5k.fit.blog_day$beta[[1]][[1]][1,])
[1] 0.9999262
cor(poliblog5k.fit.nometa$beta[[1]][[1]][1,],poliblog5k.fit.day_only$beta[[1]][[1]][1,])
[1] 0.9999967
cor(poliblog5k.fit.nometa$beta[[1]][[1]][1,],poliblog5k.fit.rat_only$beta[[1]][[1]][1,])
[1] 0.9999822
cor(poliblog5k.fit.nometa$theta[,1],poliblog5k.fit.rat_day$theta[,1])
[1] 0.999578
cor(poliblog5k.fit.nometa$theta[,1],poliblog5k.fit.blog_day$theta[,1])
[1] 0.9989984
cor(poliblog5k.fit.nometa$theta[,1],poliblog5k.fit.rat_only$theta[,1])
[1] 0.9998582
cor(poliblog5k.fit.nometa$theta[,1],poliblog5k.fit.day_only$theta[,1])
[1] 0.9996832

The STM model does differ considerably in this example if you also model the content of topics as a function of covariates.

(This takes a bit longer, 2-3 minutes in this case.)

poliblog5k.fit.cont.rat <- stm(documents = poliblog5k.docs, 
                     vocab = poliblog5k.voc,
                     K = 20,
                     prevalence =~ rating + s(day),
                     content =~ rating,
                     max.em.its = 75,
                     data = poliblog5k.meta,
                     init.type = "Spectral",
                     verbose=FALSE)
poliblog5k.labels_rat <- labelTopics(poliblog5k.fit.cont.rat)
poliblog5k.labels_rat
Topic Words:
 Topic 1: detaine, fisa, guantanamo, detent, surveil, judici, interrog 
 Topic 2: republican, gop, boehner, pelosi, democrat, parti, centrist 
 Topic 3: crap, conservat, elit, guy, blogospher, gender, tale 
 Topic 4: abort, church, prolif, teach, birth, health, cathol 
 Topic 5: movi, hollywood, song, limbaugh, mom, music, clip 
 Topic 6: ayer, wright, obama, jeremiah, reverend, barack, rezko 
 Topic 7: franken, coleman, minnesota, ballot, norm, incumb, recount 
 Topic 8: iran, iranian, tehran, gaza, arabia, ahmadinejad, osama 
 Topic 9: biden, joe, plumber, lieberman, graham, foreign, segment 
 Topic 10: drill, coal, prosper, tax, economi, worker, gas 
 Topic 11: gallup, rasmussen, poll, battleground, pennsylvania, undecid, nevada 
 Topic 12: maliki, baghdad, iraqi, sadr, basra, shiit, petraeus 
 Topic 13: ice, scientist, scienc, warm, emiss, anim, scientif 
 Topic 14: olbermann, cbs, nbc, gibson, bias, keith, editor 
 Topic 15: rudi, mccain, giuliani, maverick, palin, sarah, pow 
 Topic 16: nato, russia, soviet, europ, russian, georgia, africa 
 Topic 17: registr, acorn, fraud, worker, california, missouri, counti 
 Topic 18: blagojevich, prosecutor, prosecut, attorney, investig, probe, impeach 
 Topic 19: mae, bailout, paulson, treasuri, freddi, mortgag, earmark 
 Topic 20: superdeleg, deleg, hillari, caucus, edward, iowa, clinton 
 
 Covariate Words:
 Group Conservative: latter, afterward, especi, buri, surviv, finger, appar 
 Group Liberal: matt, today, excerpt, shape, swift, current, overwhelm 
 
 Topic-Covariate Interactions:
 Topic 1, Group Conservative: legislatur, jone, properti, democraci, appoint, raz, applic 
 Topic 1, Group Liberal: mcconnel, prohibit, illeg, armi, nixon, human, graham 
 
 Topic 2, Group Conservative: reid, mcconnel, mitch, drill, hurrican, pork, fiscal 
 Topic 2, Group Liberal: digbi, turnout, elit, prolif, primari, cash, repudi 
 
 Topic 3, Group Conservative: seedubya, exit, color, barri, religi, bless, religion 
 Topic 3, Group Liberal: digbyi, digbi, bias, postcounttb, linktocommentspostcount, obsess, regim 
 
 Topic 4, Group Conservative: park, neighborhood, wife, doctrin, dream, intellectu, signatur 
 Topic 4, Group Liberal: huckabe, stem, pastor, evangel, christian, rev, thompson 
 
 Topic 5, Group Conservative: morrissey, scroll, denver, seedubya, mitch, updat, indiana 
 Topic 5, Group Liberal: matthew, msm, thompson, digbyi, africanamerican, classic, rant 
 
 Topic 6, Group Conservative: church, toni, africanamerican, francisco, liar, kennedi, bus 
 Topic 6, Group Liberal: spokesperson, hillari, outlet, click, camp, dem, undecid 
 
 Topic 7, Group Conservative: parliament, turnout, johnson, inflat, london, secretari, elect 
 Topic 7, Group Liberal: mitch, mcconnel, smith, steven, gop, rep, jeff 
 
 Topic 8, Group Conservative: moham, civilian, peac, inspector, technolog, infrastructur, cell 
 Topic 8, Group Liberal: pakistan, saddam, alqaeda, pakistani, parliament, navi, hussein 
 
 Topic 9, Group Conservative: gaff, advis, almaliki, stabl, advisor, iraq, afghanistan 
 Topic 9, Group Liberal: reid, caucus, stimulus, harri, packag, skip, dem 
 
 Topic 10, Group Conservative: revenu, investor, deficit, europ, germani, commerc, emiss 
 Topic 10, Group Liberal: mortgag, debt, homeown, teacher, lender, auto, taxpay 
 
 Topic 11, Group Conservative: maverick, oregon, gaff, centrist, gap, exit, gender 
 Topic 11, Group Liberal: ralli, biden, sarah, palin, joe, nyt, plumber 
 
 Topic 12, Group Conservative: pakistani, pakistan, islamist, navi, virginia, osama, alqaeda 
 Topic 12, Group Liberal: thinkfast, flv, korea, inspector, ope, raz, ambassador 
 
 Topic 13, Group Conservative: book, trend, britain, circul, copi, green, modern 
 Topic 13, Group Liberal: film, spi, tale, music, drill, johnson, scroll 
 
 Topic 14, Group Conservative: palin, msm, sarah, alaska, blogger, mainstream, circul 
 Topic 14, Group Liberal: hanniti, flv, recess, cia, digg, dana, don 
 
 Topic 15, Group Conservative: huckabe, fred, eastern, kerri, evangel, smile, gibson 
 Topic 15, Group Liberal: gaff, rak, raz, client, cbs, lobbi, digg 
 
 Topic 16, Group Conservative: provinc, ship, ambassador, spi, gulf, villag, arrest 
 Topic 16, Group Liberal: nuclear, weapon, afghanistan, enrich, taliban, global, pakistan 
 
 Topic 17, Group Conservative: hispan, enforc, border, san, park, personnel, lobbi 
 Topic 17, Group Liberal: gay, battleground, enact, turnout, africanamerican, plumber, court 
 
 Topic 18, Group Conservative: lobbyist, immun, fundrais, reelect, congressman, mayor, alaska 
 Topic 18, Group Liberal: moham, homeland, guantanamo, applic, bay, permiss, award 
 
 Topic 19, Group Conservative: crap, enrich, johnson, inspector, graham, discrimin, perman 
 Topic 19, Group Liberal: deficit, infrastructur, unemploy, thinkfast, economist, oil, consum 
 
 Topic 20, Group Conservative: ohio, nbc, ambassador, racial, gender, gore, defeat 
 Topic 20, Group Liberal: romney, turnout, huckabe, oregon, fundrais, circul, grassroot 
 
plot(poliblog5k.fit.cont.rat)

The overall topic words seem to indicate the topics are now:

  1. Rights? (Mixture of FISA/surveillance and Guantanamo/detention/torture)
  2. Political parties
  3. ???? “Garbage” … Again, I’ll come back to this.
  4. Abortion? Religion?
  5. Movies? Pop culture? (~= prev T5)
  6. Obama and friends (~= prev T6)
  7. Senate (~ prev T7)
  8. Middle East (~ prev T8)
  9. Joes? (~ prev T9)
  10. Energy (~ pre T10)
  11. Election horse race. (~ prev T11)
  12. Iraq war. (~ prev T12)
  13. Global warming / ice age (~ prev T13)
  14. Media (~prev T14 and some T13)
  15. Republican party / primary (~prev T15)
  16. Foreign affairs (~prev T16)
  17. Voter registration / fraud / ACORN
  18. Blagojevich scandal
  19. Financial crisis
  20. Democratic primary / Hillary Clinton

We can estimate for multiple groups, like blog here. Be aware this takes considerably longer. About 8 minutes in the example below.

system.time(
  poliblog5k.fit.cont.blog <- stm(documents = poliblog5k.docs, 
                     vocab = poliblog5k.voc,
                     K = 20,
                     prevalence =~ blog + s(day),
                     content =~ blog,
                     max.em.its = 75,
                     data = poliblog5k.meta,
                     init.type = "Spectral",
                     verbose=FALSE)
)
   user  system elapsed 
389.264  70.575 459.867 

We can also estimate metadata interactions, with a binary moderatng variable.

poliblog5k.fit.ratday.int <- stm(documents = poliblog5k.docs, 
                     vocab = poliblog5k.voc,
                     K = 20,
                     prevalence =~ rating * s(day),
                     max.em.its = 75,
                     data = poliblog5k.meta,
                     init.type = "Spectral",
                     verbose=FALSE)
poliblog5k.ratday.int.prep <- estimateEffect(formula = c(19) ~ rating*day, stmobj = poliblog5k.fit.ratday.int, metadata = poliblog5k.meta, uncertainty="None")
plot(poliblog5k.ratday.int.prep, covariate = "day", model = poliblog5k.fit.ratday.int, method = "continuous", xlab = "Days", moderator = "rating", moderator.value = "Liberal", linecol = "blue", ylim = c(0, .12), printlegend = F)
plot(poliblog5k.ratday.int.prep, covariate = "day", model = poliblog5k.fit.ratday.int, method = "continuous", xlab = "Days", moderator = "rating", moderator.value = "Conservative", linecol = "red", add = T, printlegend = F)
legend(0, .08, c("Liberal", "Conservative"), lwd = 2, col = c("blue", "red"))

estEffpoliblog <- estimateEffect(1:20 ~ rating + s(day), poliblog5k.fit.rat_day, meta = poliblog5k.meta, uncertainty = "Global")
summary(estEffpoliblog, topics=1)

Call:
estimateEffect(formula = 1:20 ~ rating + s(day), stmobj = poliblog5k.fit.rat_day, 
    metadata = poliblog5k.meta, uncertainty = "Global")


Topic 1:

Coefficients:
                Estimate Std. Error t value Pr(>|t|)    
(Intercept)    6.647e-05  1.432e-02   0.005 0.996297    
ratingLiberal  2.008e-02  3.687e-03   5.446 5.41e-08 ***
s(day)1        7.033e-02  2.761e-02   2.547 0.010887 *  
s(day)2        4.447e-02  1.798e-02   2.473 0.013430 *  
s(day)3        1.032e-02  1.974e-02   0.523 0.601301    
s(day)4        6.038e-02  1.810e-02   3.337 0.000855 ***
s(day)5        4.927e-02  1.830e-02   2.692 0.007133 ** 
s(day)6       -5.632e-03  1.683e-02  -0.335 0.737944    
s(day)7        3.364e-02  1.834e-02   1.834 0.066684 .  
s(day)8        8.047e-03  2.058e-02   0.391 0.695760    
s(day)9        6.098e-02  2.228e-02   2.737 0.006231 ** 
s(day)10       1.347e-02  2.167e-02   0.622 0.534047    
---
Signif. codes:  
0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
poliblog5k.eff.day.nometa <- estimateEffect(1:20 ~ s(day), poliblog5k.fit.nometa, meta = poliblog5k.meta, uncertainty = "Global")
summary(poliblog5k.eff.day.nometa, topics=19)

Call:
estimateEffect(formula = 1:20 ~ s(day), stmobj = poliblog5k.fit.nometa, 
    metadata = poliblog5k.meta, uncertainty = "Global")


Topic 19:

Coefficients:
             Estimate Std. Error t value Pr(>|t|)   
(Intercept)  0.013862   0.015954   0.869  0.38495   
s(day)1      0.065560   0.030989   2.116  0.03443 * 
s(day)2      0.037224   0.017392   2.140  0.03238 * 
s(day)3      0.003956   0.021425   0.185  0.85350   
s(day)4      0.054261   0.019237   2.821  0.00481 **
s(day)5      0.036220   0.019670   1.841  0.06563 . 
s(day)6     -0.003282   0.018759  -0.175  0.86112   
s(day)7      0.029519   0.019765   1.494  0.13536   
s(day)8      0.007867   0.022743   0.346  0.72944   
s(day)9      0.053945   0.023438   2.302  0.02140 * 
s(day)10     0.009722   0.022540   0.431  0.66624   
---
Signif. codes:  
0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
plot(poliblog5k.eff.day.nometa, "day", method = "continuous", topics = 19,model = poliblog5k.fit.nometa, printlegend = FALSE, xaxt = "n", xlab = "Time (2008)")
monthseq <- seq(from = as.Date("2008-01-01"), to = as.Date("2008-12-01"), by = "month")
monthnames <- months(monthseq)
axis(1,at = as.numeric(monthseq) - min(as.numeric(monthseq)), labels = monthnames)

poliblog5k.eff.day.rat_day <- estimateEffect(1:20 ~ s(day), poliblog5k.fit.rat_day, meta = poliblog5k.meta, uncertainty = "Global")
summary(poliblog5k.eff.day.rat_day, topics=19)

Call:
estimateEffect(formula = 1:20 ~ s(day), stmobj = poliblog5k.fit.rat_day, 
    metadata = poliblog5k.meta, uncertainty = "Global")


Topic 19:

Coefficients:
             Estimate Std. Error t value Pr(>|t|)   
(Intercept)  0.009106   0.014966   0.608  0.54293   
s(day)1      0.075717   0.029789   2.542  0.01106 * 
s(day)2      0.040852   0.018231   2.241  0.02508 * 
s(day)3      0.008178   0.020515   0.399  0.69018   
s(day)4      0.060850   0.018664   3.260  0.00112 **
s(day)5      0.047174   0.018575   2.540  0.01112 * 
s(day)6     -0.005778   0.018954  -0.305  0.76048   
s(day)7      0.037943   0.018143   2.091  0.03655 * 
s(day)8      0.008792   0.023797   0.369  0.71179   
s(day)9      0.061950   0.023306   2.658  0.00788 **
s(day)10     0.012290   0.022760   0.540  0.58922   
---
Signif. codes:  
0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
plot(poliblog5k.eff.day.rat_day, "day", method = "continuous", topics = 19,model = poliblog5k.fit.rat_day, printlegend = FALSE, xaxt = "n", xlab = "Time (2008)")
monthseq <- seq(from = as.Date("2008-01-01"), to = as.Date("2008-12-01"), by = "month")
monthnames <- months(monthseq)
axis(1,at = as.numeric(monthseq) - min(as.numeric(monthseq)), labels = monthnames)

There is in fact a pattern to the garbage topics, if we model by blog.

poliblog5k.eff.blog_day <- estimateEffect(1:20 ~ blog + s(day), poliblog5k.fit.blog_day, meta = poliblog5k.meta, uncertainty = "Global")
summary(poliblog5k.eff.blog_day, topics=3)

Call:
estimateEffect(formula = 1:20 ~ blog + s(day), stmobj = poliblog5k.fit.blog_day, 
    metadata = poliblog5k.meta, uncertainty = "Global")


Topic 3:

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept) -0.0030404  0.0146461  -0.208 0.835559    
blogdb       0.0343221  0.0063726   5.386 7.54e-08 ***
blogha       0.0002643  0.0045484   0.058 0.953662    
blogmm       0.0145629  0.0083330   1.748 0.080592 .  
blogtp       0.0418508  0.0059159   7.074 1.71e-12 ***
blogtpm     -0.0144186  0.0054358  -2.652 0.008015 ** 
s(day)1      0.0718233  0.0289446   2.481 0.013119 *  
s(day)2      0.0467922  0.0180917   2.586 0.009727 ** 
s(day)3      0.0125426  0.0196402   0.639 0.523101    
s(day)4      0.0625965  0.0178221   3.512 0.000448 ***
s(day)5      0.0510657  0.0179250   2.849 0.004406 ** 
s(day)6     -0.0029779  0.0179131  -0.166 0.867975    
s(day)7      0.0394827  0.0178074   2.217 0.026654 *  
s(day)8      0.0103715  0.0217261   0.477 0.633117    
s(day)9      0.0637732  0.0229270   2.782 0.005430 ** 
s(day)10     0.0162424  0.0208451   0.779 0.435900    
---
Signif. codes:  
0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
plot(poliblog5k.eff.blog_day, covariate = "blog", topics = c(3), model = poliblog5k.fit.blog_day, method = "pointestimate",
     main = "Effect of Blog on Topic Proportion",
     xlim = c(0, .25), labeltype = "custom",
     custom.labels = c("Hot Air", "Digby", "American Thinker", "Talking Points Memo", "Michelle Malkin", "Think Progress"))

plot(poliblog5k.eff.blog_day, covariate = "blog", topics = c(5), model = poliblog5k.fit.blog_day, method = "pointestimate",
     main = "Effect of Blog on Topic Proportion",
     xlim = c(0, .25), labeltype = "custom",
     custom.labels = c("Hot Air", "Digby", "American Thinker", "Talking Points Memo", "Michelle Malkin", "Think Progress"))

What does this imply for our topics as “topics”?

What does this imply for our estimates of “topic proportion”?

What does this imply for topic concentration parameters?

Methods for Estimating / Inspecting Multiple Models / Choosing K

Lee and Mimno’s Technique: Anchor Words via t-SNE

This takes about 6 minutes in this example.

## requires installation of packages: Rtsne, rsvd, geometry 
system.time(
  poliblog5k.fit.lee_mimno <- stm(documents = poliblog5k.docs, 
                     vocab = poliblog5k.voc,
                     K = 0, # K=0 instructs STM to run Lee-Mimno
                     seed = 1234, # randomness now, seed matters
                     prevalence =~ rating + s(day),
                     max.em.its = 75,
                     data = poliblog5k.meta,
                     init.type = "Spectral",
                     verbose=TRUE)
)

This finds a 55-topic model. I’m a little surprised they look as good as they do.

plot(poliblog5k.fit.lee_mimno)

labelTopics(poliblog5k.fit.lee_mimno)
Topic 1 Top Words:
     Highest Prob: women, right, abort, gay, marriag, issu, religi 
     FREX: abort, gay, women, marriag, sex, religi, woman 
     Lift: abort, gay, sex, marriag, sexual, women, prolif 
     Score: abort, gay, women, marriag, sex, religi, sexual 
Topic 2 Top Words:
     Highest Prob: world, america, nation, countri, american, foreign, will 
     FREX: world, america, foreign, democraci, must, countri, freedom 
     Lift: ahmadinejad, democraci, world, europ, diplomaci, abroad, freedom 
     Score: ahmadinejad, world, foreign, america, democraci, countri, secur 
Topic 3 Top Words:
     Highest Prob: health, care, american, famili, will, work, job 
     FREX: health, care, union, worker, famili, insur, job 
     Lift: auto, health, insur, worker, union, wage, minimum 
     Score: auto, health, insur, worker, care, union, famili 
Topic 4 Top Words:
     Highest Prob: tax, cut, plan, billion, spend, bailout, pay 
     FREX: tax, bailout, cut, billion, spend, budget, pay 
     Lift: bailout, tax, deficit, revenu, stimulus, budget, fiscal 
     Score: bailout, tax, billion, spend, budget, stimulus, deficit 
Topic 5 Top Words:
     Highest Prob: win, will, vote, state, elect, victori, can 
     FREX: win, victori, elector, lose, michigan, won, pennsylvania 
     Lift: battleground, win, elector, turnout, indiana, victori, momentum 
     Score: battleground, win, vote, elector, victori, pennsylvania, turnout 
Topic 6 Top Words:
     Highest Prob: time, stori, new, post, york, articl, read 
     FREX: publish, page, stori, blog, piec, newspap, editor 
     Lift: birth, publish, editor, newspap, editori, circul, page 
     Score: birth, stori, publish, articl, book, newspap, editor 
Topic 7 Top Words:
     Highest Prob: blagojevich, senat, governor, illinoi, seat, polit, rezko 
     FREX: blagojevich, illinoi, rezko, appoint, corrupt, scandal, seat 
     Lift: blagojevich, rezko, rod, jackson, probe, illinoi, toni 
     Score: blagojevich, rezko, illinoi, rod, seat, chicago, governor 
Topic 8 Top Words:
     Highest Prob: hous, white, congress, pelosi, committe, rep, member 
     FREX: pelosi, hous, white, speaker, hill, congress, rep 
     Lift: boehner, pelosi, capitol, speaker, nanci, hill, hous 
     Score: boehner, hous, pelosi, white, congress, rep, speaker 
Topic 9 Top Words:
     Highest Prob: bush, presid, administr, georg, cheney, year, vice 
     FREX: bush, presid, cheney, georg, administr, vice, execut 
     Lift: branch, bush, cheney, presid, dick, vice, georg 
     Score: branch, bush, presid, cheney, administr, vice, georg 
Topic 10 Top Words:
     Highest Prob: fund, money, want, need, get, project, use 
     FREX: fund, earmark, project, money, bridg, system, didn 
     Lift: bridg, earmark, pork, infrastructur, project, wast, nowher 
     Score: bridg, earmark, pork, fund, money, spend, congress 
Topic 11 Top Words:
     Highest Prob: obama, barack, polici, will, team, chang, advis 
     FREX: team, obama, barack, advis, transit, presidentelect, polici 
     Lift: cabinet, presidentelect, transit, team, advisor, german, gate 
     Score: cabinet, obama, barack, presidentelect, advis, team, transit 
Topic 12 Top Words:
     Highest Prob: one, will, film, love, day, life, year 
     FREX: film, cathol, love, movi, hollywood, father, god 
     Lift: cathol, film, hollywood, movi, music, beauti, soul 
     Score: cathol, film, movi, hollywood, music, god, love 
Topic 13 Top Words:
     Highest Prob: show, get, don, see, doesn, can, video 
     FREX: video, radio, rush, clip, don, doesn, show 
     Lift: chat, limbaugh, morrissey, clip, rush, youtub, radio 
     Score: chat, radio, limbaugh, video, clip, show, don 
Topic 14 Top Words:
     Highest Prob: obama, wright, black, church, white, america, american 
     FREX: wright, church, black, pastor, jeremiah, racist, racial 
     Lift: church, wright, jeremiah, reverend, pastor, racist, racial 
     Score: church, wright, obama, jeremiah, black, pastor, racist 
Topic 15 Top Words:
     Highest Prob: intellig, offici, depart, administr, cia, inform, agenc 
     FREX: cia, intellig, rice, agenc, depart, document, spi 
     Lift: cia, spi, rice, intellig, leak, fbi, agenc 
     Score: cia, intellig, rice, depart, spi, agenc, fbi 
Topic 16 Top Words:
     Highest Prob: state, new, florida, obama, carolina, virginia, north 
     FREX: florida, carolina, virginia, colorado, pennsylvania, ohio, kerri 
     Lift: colorado, nevada, carolina, virginia, florida, missouri, iowa 
     Score: colorado, virginia, carolina, florida, nevada, ohio, pennsylvania 
Topic 17 Top Words:
     Highest Prob: hillari, clinton, primari, deleg, edward, obama, will 
     FREX: hillari, deleg, clinton, edward, primari, superdeleg, nomin 
     Lift: deleg, superdeleg, hillari, clinton, edward, super, primari 
     Score: deleg, hillari, clinton, superdeleg, edward, primari, obama 
Topic 18 Top Words:
     Highest Prob: court, law, rule, constitut, judg, justic, suprem 
     FREX: court, judg, constitut, rule, detaine, suprem, law 
     Lift: detaine, court, judici, suprem, constitut, judg, rule 
     Score: detaine, court, suprem, justic, law, constitut, lawyer 
Topic 19 Top Words:
     Highest Prob: peopl, crime, govern, will, prosecut, polit, crimin 
     FREX: crime, prosecut, crimin, murder, prison, detent, arrest 
     Lift: detent, prosecut, jail, crime, murder, crimin, violent 
     Score: detent, prosecut, crime, murder, prison, arrest, crimin 
Topic 20 Top Words:
     Highest Prob: energi, oil, price, drill, gas, product, will 
     FREX: oil, drill, energi, price, gas, product, coal 
     Lift: drill, oil, coal, energi, gas, price, product 
     Score: drill, oil, energi, price, gas, coal, product 
Topic 21 Top Words:
     Highest Prob: iran, nuclear, weapon, iranian, will, program, threat 
     FREX: iran, nuclear, iranian, weapon, saudi, enrich, korea 
     Lift: enrich, tehran, iran, iranian, korea, weapon, nuclear 
     Score: enrich, iran, iranian, nuclear, weapon, missil, saudi 
Topic 22 Top Words:
     Highest Prob: poll, lead, obama, margin, show, error, number 
     FREX: poll, error, margin, lead, rasmussen, ahead, compar 
     Lift: error, poll, rasmussen, margin, pollster, edg, narrow 
     Score: error, poll, margin, obama, rasmussen, lead, pollster 
Topic 23 Top Words:
     Highest Prob: immigr, citi, illeg, gun, home, polic, offic 
     FREX: immigr, gun, illeg, citi, alien, san, polic 
     Lift: francisco, immigr, san, alien, gun, illeg, licens 
     Score: francisco, immigr, illeg, polic, citi, san, gun 
Topic 24 Top Words:
     Highest Prob: franken, count, ballot, coleman, minnesota, vote, campaign 
     FREX: franken, coleman, count, minnesota, ballot, recount, challeng 
     Lift: franken, minnesota, coleman, recount, ballot, norm, count 
     Score: franken, coleman, ballot, minnesota, recount, count, norm 
Topic 25 Top Words:
     Highest Prob: obama, voter, point, among, percent, may, even 
     FREX: among, percent, voter, favor, advantag, point, independ 
     Lift: gallup, undecid, gap, percentag, advantag, newsweek, demograph 
     Score: gallup, obama, voter, percent, undecid, among, mccain 
Topic 26 Top Words:
     Highest Prob: israel, isra, hama, palestinian, arab, will, east 
     FREX: hama, isra, israel, palestinian, gaza, arab, east 
     Lift: gaza, hama, palestinian, isra, israel, arab, carter 
     Score: gaza, israel, hama, isra, palestinian, arab, jew 
Topic 27 Top Words:
     Highest Prob: like, one, think, just, make, can, get 
     FREX: linktocommentspostcount, postcounttb, realli, guy, thing, think, mayb 
     Lift: gender, digbyi, digbi, linktocommentspostcount, postcounttb, dday, crap 
     Score: gender, linktocommentspostcount, postcounttb, guy, think, digbi, like 
Topic 28 Top Words:
     Highest Prob: romney, huckabe, eastern, mccain, mitt, updat, fred 
     FREX: romney, huckabe, mitt, giuliani, eastern, fred, rudi 
     Lift: giuliani, romney, mitt, huckabe, rudi, fred, eastern 
     Score: giuliani, romney, huckabe, mitt, eastern, rudi, fred 
Topic 29 Top Words:
     Highest Prob: campaign, convent, million, money, obama, will, rais 
     FREX: convent, fundrais, donor, donat, million, kennedi, rais 
     Lift: inaugur, donor, fundrais, donat, convent, rnc, dnc 
     Score: inaugur, fundrais, donor, convent, obama, donat, money 
Topic 30 Top Words:
     Highest Prob: gop, race, dem, candid, new, seat, senat 
     FREX: dem, smith, gop, incumb, district, race, seat 
     Lift: incumb, smith, dem, jeff, district, gordon, martin 
     Score: incumb, dem, gop, race, seat, smith, rep 
Topic 31 Top Words:
     Highest Prob: obama, ayer, communiti, barack, group, chicago, organ 
     FREX: ayer, communiti, chicago, jewish, radic, organ, william 
     Lift: jewish, ayer, laski, chicago, communiti, weather, radic 
     Score: jewish, ayer, obama, chicago, barack, communiti, radic 
Topic 32 Top Words:
     Highest Prob: attack, terrorist, kill, terror, bomb, qaeda, muslim 
     FREX: muslim, bin, laden, terrorist, qaeda, osama, islam 
     Lift: laden, osama, bin, suicid, muslim, moham, qaeda 
     Score: laden, terrorist, qaeda, bin, osama, bomb, islam 
Topic 33 Top Words:
     Highest Prob: democrat, republican, parti, elect, polit, candid, gop 
     FREX: democrat, parti, republican, elect, gop, nomine, candid 
     Lift: lean, parti, democrat, republican, toss, nomine, partisan 
     Score: lean, democrat, republican, parti, gop, elect, candid 
Topic 34 Top Words:
     Highest Prob: compani, firm, lobbyist, busi, former, campaign, contract 
     FREX: lobbyist, firm, contract, lobbi, compani, employe, hire 
     Lift: lobbi, contract, lobbyist, client, firm, davi, boston 
     Score: lobbi, lobbyist, compani, contract, employe, firm, client 
Topic 35 Top Words:
     Highest Prob: conserv, liber, polit, progress, will, movement, reagan 
     FREX: conserv, liber, reagan, progress, movement, ideolog, principl 
     Lift: louisiana, conservat, conserv, reagan, elit, liber, ronald 
     Score: louisiana, conserv, liber, progress, reagan, movement, conservat 
Topic 36 Top Words:
     Highest Prob: loan, mortgag, fanni, home, johnson, freddi, crisi 
     FREX: fanni, freddi, loan, mae, mortgag, johnson, mac 
     Lift: mae, fanni, freddi, mac, subprim, borrow, lender 
     Score: mae, mortgag, fanni, loan, freddi, lender, mac 
Topic 37 Top Words:
     Highest Prob: iraq, iraqi, troop, forc, will, surg, secur 
     FREX: iraqi, petraeus, maliki, surg, baghdad, iraq, troop 
     Lift: maliki, petraeus, iraqi, baghdad, sunni, shiit, surg 
     Score: maliki, iraqi, iraq, troop, petraeus, baghdad, surg 
Topic 38 Top Words:
     Highest Prob: senat, bill, vote, legisl, lieberman, will, pass 
     FREX: legisl, lieberman, bill, reid, senat, pass, harri 
     Lift: mitch, reid, legisl, lieberman, fisa, immun, veto 
     Score: mitch, senat, lieberman, bill, vote, legisl, reid 
Topic 39 Top Words:
     Highest Prob: global, warm, chang, climat, year, water, will 
     FREX: warm, global, climat, emiss, gore, scientist, offshor 
     Lift: offshor, warm, emiss, climat, global, environment, ice 
     Score: offshor, global, warm, climat, emiss, scientist, ice 
Topic 40 Top Words:
     Highest Prob: palin, sarah, governor, alaska, run, experi, ticket 
     FREX: palin, sarah, alaska, governor, mate, ticket, experi 
     Lift: palin, sarah, alaska, mate, ticket, todd, governor 
     Score: palin, sarah, alaska, governor, gov, ticket, mate 
Topic 41 Top Words:
     Highest Prob: market, financi, bank, govern, billion, taxpay, street 
     FREX: market, bank, treasuri, paulson, stock, asset, financi 
     Lift: paulson, treasuri, asset, stock, bail, investor, bank 
     Score: paulson, market, treasuri, bank, billion, financi, taxpay 
Topic 42 Top Words:
     Highest Prob: economi, econom, will, crisi, american, job, year 
     FREX: economi, econom, crisi, recess, job, wall, street 
     Lift: phil, economi, recess, economist, econom, unemploy, crisi 
     Score: phil, economi, econom, crisi, recess, unemploy, economist 
Topic 43 Top Words:
     Highest Prob: said, report, yesterday, sen, percent, today, accord 
     FREX: percent, steven, yesterday, sen, accord, thinkfast, releas 
     Lift: rak, thinkfast, steven, thinkprogress, dil, hurrican, ted 
     Score: rak, thinkfast, sen, steven, percent, investig, report 
Topic 44 Top Words:
     Highest Prob: debat, obama, biden, joe, ralli, event, will 
     FREX: biden, ralli, joe, debat, event, plumber, flag 
     Lift: ralli, biden, joe, plumber, pin, debat, flag 
     Score: ralli, biden, joe, obama, debat, plumber, barack 
Topic 45 Top Words:
     Highest Prob: mccain, john, sen, issu, said, raz, today 
     FREX: mccain, john, raz, sen, graham, maverick, issu 
     Lift: raz, mccain, graham, pow, john, maverick, digg 
     Score: mccain, raz, john, sen, maverick, graham, pow 
Topic 46 Top Words:
     Highest Prob: voter, vote, elect, acorn, fraud, state, registr 
     FREX: acorn, fraud, registr, voter, counti, regist, elect 
     Lift: registr, acorn, fraud, counti, regist, intimid, voter 
     Score: registr, acorn, voter, fraud, vote, ballot, counti 
Topic 47 Top Words:
     Highest Prob: said, say, think, know, peopl, ask, question 
     FREX: think, interview, ask, know, thing, say, said 
     Lift: regret, gonna, transcript, anybodi, repli, interview, somebodi 
     Score: regret, said, think, say, know, interview, ask 
Topic 48 Top Words:
     Highest Prob: war, iraq, militari, american, afghanistan, troop, veteran 
     FREX: war, saddam, iraq, veteran, militari, afghanistan, invas 
     Lift: saddam, hussein, war, veteran, invas, vietnam, antiwar 
     Score: saddam, iraq, war, militari, afghanistan, troop, veteran 
Topic 49 Top Words:
     Highest Prob: armi, pentagon, dead, build, confirm, sadr, british 
     FREX: pentagon, armi, sadr, british, marin, dead, navi 
     Lift: sadr, pentagon, marin, british, basra, armi, flight 
     Score: sadr, armi, pentagon, basra, british, militia, marin 
Topic 50 Top Words:
     Highest Prob: media, news, report, press, fox, coverag, stori 
     FREX: fox, media, news, coverag, msnbc, nbc, network 
     Lift: sorri, olbermann, fox, outlet, nbc, media, coverag 
     Score: sorri, media, fox, news, coverag, msnbc, press 
Topic 51 Top Words:
     Highest Prob: school, univers, rove, research, studi, student, educ 
     FREX: rove, univers, school, karl, professor, student, research 
     Lift: stem, rove, karl, professor, univers, academ, student 
     Score: stem, rove, school, univers, research, student, karl 
Topic 52 Top Words:
     Highest Prob: obama, campaign, attack, call, say, barack, camp 
     FREX: campaign, camp, late, attack, advis, negat, clark 
     Lift: surrog, spokesperson, clark, camp, campaign, negat, unclear 
     Score: surrog, obama, campaign, attack, camp, barack, clark 
Topic 53 Top Words:
     Highest Prob: russia, russian, georgia, pakistan, govern, afghanistan, taliban 
     FREX: russian, russia, taliban, pakistan, georgia, nato, pakistani 
     Lift: taliban, afghan, russian, pakistani, nato, tribal, russia 
     Score: taliban, russian, russia, pakistan, nato, pakistani, georgia 
Topic 54 Top Words:
     Highest Prob: tortur, interrog, use, prison, techniqu, guantanamo, said 
     FREX: interrog, tortur, techniqu, guantanamo, prison, legal, abu 
     Lift: techniqu, interrog, tortur, guantanamo, abu, method, prison 
     Score: techniqu, tortur, interrog, guantanamo, prison, abu, legal 
Topic 55 Top Words:
     Highest Prob: withdraw, timet, obama, troop, iraq, polici, foreign 
     FREX: timet, withdraw, troop, almaliki, date, prime, mission 
     Lift: timet, withdraw, almaliki, date, mission, prime, troop 
     Score: timet, withdraw, almaliki, troop, iraq, obama, iraqi 

Exclusivity, Semantic Coherence, Heldout Likelihood, and Residual Dispersion

NOTE: Running the six values of K below, and dedicating only one computer core to the task, the following takes 20 minutes to run.

system.time(
  poliblog5k.searchK <- searchK(documents = poliblog5k.docs, 
                     vocab = poliblog5k.voc,
                     K = c(10,20,30,40,50,60), #specify K to try
                     N = 500, # matches 10% default
                     proportion = 0.5, # default
                     heldout.seed = 1234, # optional
                     M = 10, # default
                     cores = 1, # default
                     prevalence =~ rating + s(day),
                     max.em.its = 75,
                     data = poliblog5k.meta,
                     init.type = "Spectral",
                     verbose=TRUE)
)
plot(poliblog5k.searchK)

It’s hard to argue there’s a “true” \(K\) in there.

---
title: "An Introduction to the Structural Topic Model (STM)"
output:
  html_notebook:
    code_folding: show
    highlight: tango
    theme: united
    toc: yes
  html_document:
    df_print: paged
    toc: yes
---

THIS IS INCOMPLETE AND HAS A FEW VERY LONG RUN TIME COMMANDS. PROCEED WITH CAUTION.

This tutorial uses the example from the **stm** vignette as a starting point.

```{r}
# install the following packages as necessary
library(lda)
library(slam)
library(stm)
```

## Reading and preparing data in **stm**

For this example, we will use a variant of the "PoliBlogs08" data set (Eisenstein and Xing 2010), an example used in the **stm** vignette. The original data consists of 13246 blogposts scraped from 6 blogs, along with a "rating" as "Conservative" or "Liberal."
```{r}
poliblogsFull <- read.csv("poliblogs2008.csv", colClasses = c("character", "character", "character", "factor", "integer", "factor"))
summary(poliblogsFull)
```

For exposition purposes later, it will help to note some basics here. The `day` variable indicates the day of 2008 the blog was written, running from 1 to 366 since 2008 was a leap year. The `blog` variable indicates which one of the following six blogs posted the text for that observation: 

* db: Digby (Liberal, single author [? not sure that's true])
* tp: Think Progress (Liberal, multiple authors)
* tpm: Talking Points Memo (Liberal, multiple authors)
* mm: Michelle Malkin (Conservative, single author)
* at: American Thinker (Conservative, multiple authors)
* ha: Hot Air (Conservative, single author)


Variants of this example are available in different places, for STM as well as LDA, SAGE, and a variety of topic models. It's easy to get confused. There are a variety of prefit STM models for this data that you can download from http://www.princeton.edu/~bms4/VignetteObjects.RData. These are stored in `poliblogPrevFit`, `poliblogContent`, and `poliblogInteraction` and a prerun STM model selection object stored in `poliblogSelect`. They are run on the object `out` that is created on page 9 of the **stm** vignette, and includes 13426 documents and 9244 terms (the terms that appear in more than 15 documents). We will avoid reusing these variable names (running commands directly from the provided vignette will do so). 

Also provided in the package are the **stm** input objects for a *sample* of 5000 blogs, which we will use here for illustration purposes. These objects are stored in `poliblog5k.docs` (word counts in **stm** format), `poliblog5k.voc` (the vocabulary), and `poliblog5k.meta` (the metadata).

The `meta` object also contains a small snippet - up to 50 characters - of the text in a (confusing) list column `poliblog5k.meta$text`. We will create our own slightly larger snippets - 200 characters - for use in diagnostics later.

Let's take a look at the first three documents in all three of these formats:
```{r}
poliblog5k.sample <- as.integer(rownames(poliblog5k.meta))
poliblog5k.fulltext <- poliblogsFull$documents[poliblog5k.sample] 
poliblog5k.shorttext <- substr(poliblog5k.fulltext,1,200)
poliblog5k.meta$text[1:3]
poliblog5k.shorttext[1:3]
poliblog5k.fulltext[1:3]
```

Note from the full text, especially the third one there from the "Digby" blog, that these were not parsed very carefully (by the original researchers in 2008). Most will tell you not to worry about that. They're wrong.

### Preprocessing within the **stm** package

The *stm* package converts a vector of text and a dataframe of metadata into **stm** formatted objects using the command `textProcessor` which calls the package **tm** for its preprocessing routines.

```{r}
# * default parameters
poliblog5k.proc <- textProcessor(documents=poliblog5k.fulltext,
                                 metadata = poliblog5k.meta,
                                 lowercase = TRUE, #*
                                 removestopwords = TRUE, #*
                                 removenumbers = TRUE, #*
                                 removepunctuation = TRUE, #*
                                 stem = TRUE, #*
                                 wordLengths = c(3,Inf), #*
                                 sparselevel = 1, #*
                                 language = "en", #*
                                 verbose = TRUE, #*
                                 onlycharacter = TRUE, # not def
                                 striphtml = FALSE, #*
                                 customstopwords = NULL, #*
                                 v1 = FALSE) #*
```

The processed object is a list of four objects: `documents`, `vocab`, `meta`, and `docs.removed`. The `documents` object is a list, one per document, of 2 row matrices; the first row indicates the index of a word found in the document, and the second row indicates the (nonzero) counts. If preprocessing causes any documents to be empty, they are removed, as are the corresponding rows of the `meta` object.

These objects are in turn passed to the `prepDocuments` function, which filters vocabulary, and again removes empty documents and corresponding rows in the metadata. The authors of **stm** say it struggles with extremely large vocabularies, and in the vignette example filter to under 10000 terms by eliminating those terms that don't appear in more than 15 documents. The data objects provided in the package or `poliblog5k` seem to filter out terms that don't appear in more than 50 documents, leaving about 2600-2800 terms.

```{r}
poliblog5k.out <- prepDocuments(poliblog5k.proc$documents, poliblog5k.proc$vocab, poliblog5k.proc$meta, lower.thresh=50)
```

(The number of terms, 2717, is more than the 2632 in the provided `poliblog5k.voc`. The mismatches seem to be in words with punctuation in the middle -- like "re-elect" or "you're" -- and I can't seem to make them match exactly with textProcessor options.)

### Preprocessing within **quanteda**

We've mostly read in and processed data with **quanteda**, so it's worth noting that you can do that and then use the `convert` function to convert to **stm** and a variety of other formats.

```{r}
library(quanteda)

poliblog5k.fullmeta <- data.frame(doc_id=rownames(poliblog5k.meta), poliblog5k.meta, shorttext=poliblog5k.shorttext, fulltext=poliblog5k.fulltext, stringsAsFactors=FALSE)

poliblog5k.corpus <- quanteda::corpus(poliblog5k.fullmeta, docid_field="doc_id",text_field="fulltext")

poliblog5k.dfm <- quanteda::dfm(poliblog5k.corpus,
                                tolower=TRUE,
                                stem=TRUE,
                                remove=stopwords("english"),
                                remove_numbers=TRUE,
                                remove_punct=TRUE,
                                remove_symbols=TRUE,
                                ngrams=1)
dim(poliblog5k.dfm)
```

Again, let's trim that to words appearing in more than 50 documents.

```{r}
poliblog5k.dfm <- dfm_trim(poliblog5k.dfm, min_docfreq=51, docfreq_type="count")
dim(poliblog5k.dfm)
```

Yet another slightly different count.

In any case, we convert to **stm** format using 
```{r}
poliblog5k.dfm2stm <- quanteda::convert(poliblog5k.dfm, to = "stm")
names(poliblog5k.dfm2stm)
```

## Modeling without metadata structure

Let's start with running this like a topic model without structure. It's not exact, but this is very similar to the SAGE (Eisenstein, et al.) sparse estimation of a model with a correlated topic model (CTM) generative process (Blei, et al.)
```{r}
# Spectral initialization is advised by the authors
#    Should replicate exactly under spectral initialization
#
# This takes about 70 seconds.
poliblog5k.fit.nometa <- stm(documents = poliblog5k.docs, 
                     vocab = poliblog5k.voc,
                     K = 20,
                     max.em.its = 75,
                     data = poliblog5k.meta,
                     init.type = "Spectral")
## suppress all this output with verbose=FALSE
```

We can get a detailed overview of key terms for every topic (or some) using the `labelTopics` command. This command provides the top words according to four different statistics, "highest probability" (just $\beta$), "FREX", "Lift", and "Score." FREX is very similar to PMI and typically I find it most helpful. 
```{r}
labelTopics(poliblog5k.fit.nometa)
```

Going through these ... rough guesses at the topics seem to be.

1. Law, esp re torture
2. Political parties
3. ???? Informal/personal, Digby, post junk (We'll come back to this)
4. Seems to be a mixture: Religious issues (including abortion, gay rights, stem cells) and women / children / education
5. ???? Contractions? Movies? (We'll come back to this)
6. Obama campaign (including Jeremiah Wright, Bill Ayers)
7. Senate
8. Middle East (Israel, Iran, Gaza, Hamas)
9. Joes? Biden / Lieberman.
10. Energy, oil/gas prices
11. General election polls
12. Wars - Iraq/Afghanistan
13. Mixture? Media/reporting and global warming
14. Bush administration
15. McCain campaign / Republican primary
16. Foreign affairs
17. Voting incl ACORN and voter fraud / illegal immigrants
18. Rod Blagojevich scandal
19. Financial crisis
20. Hillary Clinton / Democratic primary

Some of these look a bit "undercooked," meaning a model with more topics might have separated them (e.g., 4 and 13). Some may be spurious (e.g., 9, which may be about Senators, may be about vice presidential possibilities, may be about the democratic primary, or may just be triggering on correlations with the word "Joe"). Some of these appear at first blush to be "junk" (e.g., 3 and 5).

We can get an overview of the distribution of these topics by plotting the fit object:
```{r,fig.height=5, fig.width=5}
plot(poliblog5k.fit.nometa)
```

We can find the top documents associated with a topic with the `findThoughts` function:
```{r}
findThoughts(poliblog5k.fit.nometa,texts = poliblog5k.fulltext, n = 2, topics = c(6))
```
These both appear to be conservative discussion of Obama and particularly associations with controversial people like Ayers and Wright. So that looks ok.

We can look at multiple, or all, topics this way as well. For this we'll just look at the shorttext.

```{r}
findThoughts(poliblog5k.fit.nometa,texts = poliblog5k.shorttext, n = 3, topics = 1:20)
```

The first three in Topic 1 are about FISA and wiretapping ... not torture ... so that may be a more general "legislation / law" topic. The first three in Topic 13 are all about global warming, so that merits a closer inspection.

The `plotQuote` function will give you similar information in a more graphical format.
```{r, fig.height=5, fig.width=3}
firstdocs.13 <- findThoughts(poliblog5k.fit.nometa,texts = poliblog5k.shorttext, n = 5, topics = c(13))$docs[[1]]
plotQuote(firstdocs.13, main="Top Documents, Topic 13 - Global Warming?")
```
The default label of "report, new, time" -- which probably indicates a lot of "A New York Times report ..." -- may be misleading. These five are all criticisms of "global warmists" with several discussing the "coming ice age."

Or we can go back to words and our old friend the wordcloud:

```{r}
cloud(poliblog5k.fit.nometa, topic=13, scale=c(2,.25))
```
Boy. It's tough to call that "global warming." The vast majority of those words are media related. We would really need to look closely at the documents to see what's going on.

<!-- ## Removing topic correlation (more similar to LDA) -->

<!-- ```{r} -->
<!-- system.time( -->
<!--   poliblog5k.fit.nocorr <- stm(documents = poliblog5k.docs,  -->
<!--                      vocab = poliblog5k.voc, -->
<!--                      K = 20, -->
<!--                      max.em.its = 75, -->
<!--                      data = poliblog5k.meta, -->
<!--                      init.type = "Spectral", -->
<!--                      sigma.prior = 1, #regularize toward indep -->
<!--                      verbose=FALSE) -->
<!-- ) -->
<!-- ``` -->

## Modeling with metadata

But let's move on. STM's bread and butter is in incorporating "structure" by modeling on metadata.

In the vignette example, the authors model "prevalence" of topics on "rating" and "s(day)". The latter calculates a smoothed function (a b-spline) across the variable, appropriate for a variable like `day` that takes on continuous or many values.

Let's do that.

```{r}
poliblog5k.fit.rat_day <- stm(documents = poliblog5k.docs, 
                     vocab = poliblog5k.voc,
                     K = 20,
                     prevalence =~ rating + s(day),
                     max.em.its = 75,
                     data = poliblog5k.meta,
                     init.type = "Spectral",
                     verbose=FALSE)
```

Or we might think just rating matters.

```{r}
poliblog5k.fit.rat_only <- stm(documents = poliblog5k.docs, 
                     vocab = poliblog5k.voc,
                     K = 20,
                     prevalence =~ rating,
                     max.em.its = 75,
                     data = poliblog5k.meta,
                     init.type = "Spectral",
                     verbose=FALSE)
```

Or we might think just day matters.

```{r}
poliblog5k.fit.day_only <- stm(documents = poliblog5k.docs, 
                     vocab = poliblog5k.voc,
                     K = 20,
                     prevalence =~ s(day),
                     max.em.its = 75,
                     data = poliblog5k.meta,
                     init.type = "Spectral",
                     verbose=FALSE)
```

Or maybe it's *blog* and day.


```{r}
poliblog5k.fit.blog_day <- stm(documents = poliblog5k.docs, 
                     vocab = poliblog5k.voc,
                     K = 20,
                     prevalence =~ blog + s(day),
                     max.em.its = 75,
                     data = poliblog5k.meta,
                     init.type = "Spectral",
                     verbose=FALSE)
```

It turns out this makes almost no difference to the model. These documents are long enough that the influence of the prior from the covariate structure is imperceptible,

```{r}
# Beta for topic 1
cor(poliblog5k.fit.nometa$beta[[1]][[1]][1,],poliblog5k.fit.rat_day$beta[[1]][[1]][1,])
cor(poliblog5k.fit.nometa$beta[[1]][[1]][1,],poliblog5k.fit.blog_day$beta[[1]][[1]][1,])
cor(poliblog5k.fit.nometa$beta[[1]][[1]][1,],poliblog5k.fit.day_only$beta[[1]][[1]][1,])
cor(poliblog5k.fit.nometa$beta[[1]][[1]][1,],poliblog5k.fit.rat_only$beta[[1]][[1]][1,])
```

```{r}
cor(poliblog5k.fit.nometa$theta[,1],poliblog5k.fit.rat_day$theta[,1])
cor(poliblog5k.fit.nometa$theta[,1],poliblog5k.fit.blog_day$theta[,1])
cor(poliblog5k.fit.nometa$theta[,1],poliblog5k.fit.rat_only$theta[,1])
cor(poliblog5k.fit.nometa$theta[,1],poliblog5k.fit.day_only$theta[,1])

```


The STM model *does* differ considerably in this example if you also model the *content* of topics as a function of covariates.

(This takes a bit longer, 2-3 minutes in this case.)
```{r}
poliblog5k.fit.cont.rat <- stm(documents = poliblog5k.docs, 
                     vocab = poliblog5k.voc,
                     K = 20,
                     prevalence =~ rating + s(day),
                     content =~ rating,
                     max.em.its = 75,
                     data = poliblog5k.meta,
                     init.type = "Spectral",
                     verbose=FALSE)
```


```{r}
poliblog5k.labels_rat <- labelTopics(poliblog5k.fit.cont.rat)
poliblog5k.labels_rat
```

```{r fig.height=4, fig.width=4}
plot(poliblog5k.fit.cont.rat)
```
The overall topic words seem to indicate the topics are now:

1. Rights? (Mixture of FISA/surveillance and Guantanamo/detention/torture)
2. Political parties
3. ???? "Garbage" ... Again, I'll come back to this.
4. Abortion? Religion?
5. Movies? Pop culture? (~= prev T5)
6. Obama and friends (~= prev T6)
7. Senate (~ prev T7)
8. Middle East (~ prev T8)
9. Joes? (~ prev T9)
10. Energy (~ pre T10)
11. Election horse race. (~ prev T11)
12. Iraq war. (~ prev T12)
13. Global warming / ice age (~ prev T13)
14. Media (~prev T14 and some T13)
15. Republican party / primary (~prev T15)
16. Foreign affairs (~prev T16)
17. Voter registration / fraud / ACORN
18. Blagojevich scandal
19. Financial crisis
20. Democratic primary / Hillary Clinton

We can estimate for multiple groups, like blog here. Be aware this takes considerably longer. About 8 minutes in the example below.
```{r}
system.time(
  poliblog5k.fit.cont.blog <- stm(documents = poliblog5k.docs, 
                     vocab = poliblog5k.voc,
                     K = 20,
                     prevalence =~ blog + s(day),
                     content =~ blog,
                     max.em.its = 75,
                     data = poliblog5k.meta,
                     init.type = "Spectral",
                     verbose=FALSE)
)
```

```{r}


```

We can also estimate metadata interactions, with a binary moderatng variable.
```{r}
poliblog5k.fit.ratday.int <- stm(documents = poliblog5k.docs, 
                     vocab = poliblog5k.voc,
                     K = 20,
                     prevalence =~ rating * s(day),
                     max.em.its = 75,
                     data = poliblog5k.meta,
                     init.type = "Spectral",
                     verbose=FALSE)
```


```{r}
poliblog5k.ratday.int.prep <- estimateEffect(formula = c(19) ~ rating*day, stmobj = poliblog5k.fit.ratday.int, metadata = poliblog5k.meta, uncertainty="None")
```

```{r fig.height=4, fig.width=4}
plot(poliblog5k.ratday.int.prep, covariate = "day", model = poliblog5k.fit.ratday.int, method = "continuous", xlab = "Days", moderator = "rating", moderator.value = "Liberal", linecol = "blue", ylim = c(0, .12), printlegend = F)
plot(poliblog5k.ratday.int.prep, covariate = "day", model = poliblog5k.fit.ratday.int, method = "continuous", xlab = "Days", moderator = "rating", moderator.value = "Conservative", linecol = "red", add = T, printlegend = F)
legend(0, .08, c("Liberal", "Conservative"), lwd = 2, col = c("blue", "red"))
```





```{r}
estEffpoliblog <- estimateEffect(1:20 ~ rating + s(day), poliblog5k.fit.rat_day, meta = poliblog5k.meta, uncertainty = "Global")
summary(estEffpoliblog, topics=1)
```

```{r}
poliblog5k.eff.day.nometa <- estimateEffect(1:20 ~ s(day), poliblog5k.fit.nometa, meta = poliblog5k.meta, uncertainty = "Global")
summary(poliblog5k.eff.day.nometa, topics=19)
```

```{r fig.width=7, fig.height=6}
plot(poliblog5k.eff.day.nometa, "day", method = "continuous", topics = 19,model = poliblog5k.fit.nometa, printlegend = FALSE, xaxt = "n", xlab = "Time (2008)")
monthseq <- seq(from = as.Date("2008-01-01"), to = as.Date("2008-12-01"), by = "month")
monthnames <- months(monthseq)
axis(1,at = as.numeric(monthseq) - min(as.numeric(monthseq)), labels = monthnames)
```


```{r}
poliblog5k.eff.day.rat_day <- estimateEffect(1:20 ~ s(day), poliblog5k.fit.rat_day, meta = poliblog5k.meta, uncertainty = "Global")
summary(poliblog5k.eff.day.rat_day, topics=19)
```

```{r fig.width=7, fig.height=6}
plot(poliblog5k.eff.day.rat_day, "day", method = "continuous", topics = 19,model = poliblog5k.fit.rat_day, printlegend = FALSE, xaxt = "n", xlab = "Time (2008)")
monthseq <- seq(from = as.Date("2008-01-01"), to = as.Date("2008-12-01"), by = "month")
monthnames <- months(monthseq)
axis(1,at = as.numeric(monthseq) - min(as.numeric(monthseq)), labels = monthnames)
```

There is in fact a pattern to the garbage topics, if we model by blog.

```{r}
poliblog5k.eff.blog_day <- estimateEffect(1:20 ~ blog + s(day), poliblog5k.fit.blog_day, meta = poliblog5k.meta, uncertainty = "Global")
summary(poliblog5k.eff.blog_day, topics=3)
```

```{r fig.width=4, fig.height=3}
plot(poliblog5k.eff.blog_day, covariate = "blog", topics = c(3), model = poliblog5k.fit.blog_day, method = "pointestimate",
     main = "Effect of Blog on Topic Proportion",
     xlim = c(0, .25), labeltype = "custom",
     custom.labels = c("Hot Air", "Digby", "American Thinker", "Talking Points Memo", "Michelle Malkin", "Think Progress"))
```

```{r fig.width=6, fig.height=3}
plot(poliblog5k.eff.blog_day, covariate = "blog", topics = c(5), model = poliblog5k.fit.blog_day, method = "pointestimate",
     main = "Effect of Blog on Topic Proportion",
     xlim = c(0, .25), labeltype = "custom",
     custom.labels = c("Hot Air", "Digby", "American Thinker", "Talking Points Memo", "Michelle Malkin", "Think Progress"))
```

What does this imply for our topics as "topics"?

What does this imply for our estimates of "topic proportion"?

What does this imply for topic concentration parameters?
<!--      , -->
<!-- +  cov.value1 = "Liberal", cov.value2 = "Conservative", -->
<!-- +  xlab = "More Conservative ... More Liberal", -->
<!-- +  -->
<!-- ``` -->



<!-- prep <- estimateEffect(1:20 ~ rating + s(day), poliblogPrevFit, -->
<!-- +  meta = out$meta, uncertainty = "Global") -->

## Methods for Estimating / Inspecting Multiple Models / Choosing K

### Lee and Mimno's Technique: Anchor Words via t-SNE


This takes about 6 *minutes* in this example.
```{r}
## requires installation of packages: Rtsne, rsvd, geometry 
system.time(
  poliblog5k.fit.lee_mimno <- stm(documents = poliblog5k.docs, 
                     vocab = poliblog5k.voc,
                     K = 0, # K=0 instructs STM to run Lee-Mimno
                     seed = 1234, # randomness now, seed matters
                     prevalence =~ rating + s(day),
                     max.em.its = 75,
                     data = poliblog5k.meta,
                     init.type = "Spectral",
                     verbose=TRUE)
)
```

This finds a 55-topic model. I'm a little surprised they look as good as they do.

```{r fig.height=10, fig.width=5}
plot(poliblog5k.fit.lee_mimno)
```

```{r}
labelTopics(poliblog5k.fit.lee_mimno)
```

### Exclusivity, Semantic Coherence, Heldout Likelihood, and Residual Dispersion

NOTE: Running the six values of K below, and dedicating only one computer core to the task, the following takes **20 minutes** to run.
```{r}
system.time(
  poliblog5k.searchK <- searchK(documents = poliblog5k.docs, 
                     vocab = poliblog5k.voc,
                     K = c(10,20,30,40,50,60), #specify K to try
                     N = 500, # matches 10% default
                     proportion = 0.5, # default
                     heldout.seed = 1234, # optional
                     M = 10, # default
                     cores = 1, # default
                     prevalence =~ rating + s(day),
                     max.em.its = 75,
                     data = poliblog5k.meta,
                     init.type = "Spectral",
                     verbose=TRUE)
)
```




```{r fig.height=4, fig.width=4}
plot(poliblog5k.searchK)
```

It's hard to argue there's a "true" $K$ in there.
