{"id":216,"date":"2012-02-24T14:43:39","date_gmt":"2012-02-24T13:43:39","guid":{"rendered":"http:\/\/sites.williams.edu\/bklingen\/?page_id=216"},"modified":"2016-03-31T13:26:28","modified_gmt":"2016-03-31T17:26:28","slug":"cda","status":"publish","type":"page","link":"https:\/\/sites.williams.edu\/bklingen\/teaching\/cda\/","title":{"rendered":"Categorical Data Analysis"},"content":{"rendered":"<ul>\n<li><a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2014\/11\/Syllabus_CDA_Fall14.pdf\">Syllabus<\/a>\n<ul>\n<li>Diese Vorlesung ist in English:\u00a0<a href=\"http:\/\/www.youtube.com\/watch?v=YRf9ooQ7qq8&amp;feature=related\">German Coast Guard<\/a><\/li>\n<\/ul>\n<\/li>\n<li><a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/Discrete-Distributions-in-R.rtf\">Discrete Distributions in R<\/a>\u00a0(best viewed in <a href=\"http:\/\/www.sciviews.org\/Tinn-R\">Tinn-R<\/a>\u00a0or some other editor)<\/li>\n<li>Exploratory analysis with categorical data:\u00a0<a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/R-and-Categorical-Variables1.pdf\">R and Categorical Variables<\/a><\/li>\n<li>Inference (Test, CI, Power) for a single proportion: <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/R-code-for-inference-about-single-proportion.pdf\">R code for inference about single proportion<\/a><\/li>\n<li>First Homework: <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/HW1.pdf\">HW1<\/a><\/li>\n<li>Please fill out this <a href=\"http:\/\/goo.gl\/forms\/ID3Cw0Zjyj\">survey<\/a> (only one question!)<\/li>\n<li>R code from class on Friday, Nov. 14:\u00a0<a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/Simulate-Wald-Coverage.pdf\">Simulate Coverage Probability for Wald Confidence Interval for a single proportion<\/a><\/li>\n<li>R code from class on Friday, Nov. 21:\u00a0<a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/exactTest.pdf\">exactTest<\/a><\/li>\n<li><a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/HW21.pdf\">Homework 2<\/a>\u00a0is due next week Friday (Dec. 5th)!<\/li>\n<li>Here is an outline of the\u00a0<a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/Solution-to-HW1.pdf\">Solution to HW1<\/a><\/li>\n<li>Exact inference for a single multinomial:\u00a0<a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/exactmultinomial.docx\">exactmultinomial<\/a><\/li>\n<li>In class, someone asked about R code for the highest posterior density Bayesian credible interval. The hpd function in the TeachingDemos library can construct HPD intervals from a posterior distribution. (The package hdrcde is a more sophisticated package for such\u00a0methods.) Example:<\/li>\n<\/ul>\n<pre style=\"text-align: justify\">&gt; library(\"TeachingDemos\")\r\n&gt; n &lt;- 12\r\n&gt; y &lt;- 7\r\n&gt; a &lt;- 1\r\n&gt; b &lt;- 1\r\n&gt; h &lt;- hpd(qbeta, shape1=y+a, shape2=n-y+b)\r\n&gt; h\r\n[1] 0.3232160 0.8144068<\/pre>\n<pre>&gt; # compare to equal tailed:\r\n&gt; qbeta(c(0.025,0.975), shape1=y+a, shape2=n-y+b)\r\n[1] 0.3157776 0.8077676<\/pre>\n<ul>\n<li>\u00a0Homework 3 (due next week Friday; final version with one more problem added and one typo in exercise 2 corrected; thanks to some of you for pointing this out):<a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/HW31.pdf\">HW3<\/a><a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/HW31.pdf\"><br \/>\n<\/a><\/li>\n<li>Solutions to HW 2 (<span style=\"color: #ff0000\">updated!!<\/span>):\u00a0<a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/Solution_HW2.pdf\">Solution_HW2<\/a><\/li>\n<li><a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/Solution_HW3.pdf\">Solutions to Homework 3<\/a><\/li>\n<li>Inverting score tests for inference on difference of two independent proportions: <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/ScoreInference_DiffProp.pdf\">Overview<\/a><\/li>\n<li>R code to get the score confidence interval for the difference of two independent binomial proportions:\u00a0<a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/score_int_diff_2props.r\">score_int_diff_2props<\/a><\/li>\n<li>R code for the exact confidence interval for the difference of two independent proportions:<a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/AgrestiMin.r\">AgrestiMin<\/a>\u00a0(needs to be updated)<\/li>\n<li>Handout: <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/R-code-for-inference-about-several-proportions1.pdf\">Chi-squared tests<\/a><\/li>\n<li>Some Historical Notes: <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/Colby.pptx\">Controversies <\/a>about odds ratio or degrees of freedom (Pearson vs. Yule or Fisher)<\/li>\n<li>Permutation Test for two-way contingency tables:\u00a0<a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/Permutation-tests-for-independence-in-general-r-x-c-tables.docx\">Permutation tests for independence in general r x c tables<\/a><\/li>\n<li>Homework 4 (due next Thursday!): <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/HW41.pdf\">HW4<\/a><\/li>\n<li>Practice for the final exam:\u00a0<a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/Quiz1.pdf\">Quiz1<\/a><\/li>\n<li>Fisher&#8217;s Exact Test <a href=\"https:\/\/istats.shinyapps.io\/Fisher\/\">online<\/a>.<\/li>\n<li>General Permutation test of independence <a href=\"https:\/\/istats.shinyapps.io\/ChiPerm\/\">online<\/a> (using Monte Carlo sampling)<\/li>\n<li><span style=\"color: #339966\">GEE analysis<\/span> of cross-over trial (see lecture notes) with high and low dose:<\/li>\n<\/ul>\n<pre>subj &lt;- rep(1:86,each=2)\r\ndose &lt;- rep(c(1,0),86) # 1 means high, 0 means low\r\nresp &lt;- c(rep(c(1,1),53),rep(c(1,0),16),rep(c(0,1),8),rep(c(0,0),9)) #from contingency table counts\r\nmydat &lt;- data.frame(subj=subj,dose=dose,resp=resp)\r\nrequire(\"gee\") #Fit GEE model with exchangeable working correlation structure\r\nfit_exch &lt;- gee(resp~dose, family=binomial,id=subj, data=mydat ,corstr = \"exchangeable\")\r\nsummary(fit_exch)<\/pre>\n<div>\n<ul>\n<li>GEE modeling for depression data set\n<ul>\n<li>Dataset (as .txt file):<a href=\"http:\/\/sites.williams.edu\/bklingen\/teaching\/cda\/attachment\/depression\/\" rel=\"attachment wp-att-1250\">depression<\/a><\/li>\n<li>R code with output:\u00a0<a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/GEE_depression.pdf\">GEE_depression<\/a><a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/GEE_depression.pdf\"><br \/>\n<\/a><\/li>\n<li>R source code:\u00a0<a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/depression_sourceCode.r\">depression_sourceCode<\/a><a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/depression_sourceCode.r\"><br \/>\n<\/a><\/li>\n<\/ul>\n<\/li>\n<li><a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/HW51.pdf\">HW5<\/a>\u00a0is online and due next week Tuesday (<span style=\"color: #00ff00\">this is the final version<\/span>, with the GEE problem posted). Exercise 1 refers to <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/SafetyInfo_Zelnorm.pdf\">this document on drug safety<\/a>. Exercise 3 refers to this data set:\u00a0<a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/Relief-of-Dysmenorrhea.pdf\">Relief of Dysmenorrhea<\/a><\/li>\n<li>Here are some more practice exercises (updated to correct typo): <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/Quiz2.pdf\">Quiz2<\/a>\u00a0<a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/Quiz2.pdf\"><br \/>\n<\/a><\/li>\n<li>Cochran-Mantel-Haenszel Analysis\n<ul>\n<li>Smoking dataset:\u00a0<a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/smoking.csv\">smoking.csv<\/a><\/li>\n<li>R output of analysis of smoking data:\u00a0<a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/CMH.pdf\">CMH<\/a><\/li>\n<li>Source Code:\u00a0<a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/CMH_sourceCode.r\">CMH_sourceCode<\/a><\/li>\n<\/ul>\n<\/li>\n<li>Partial Solution to HW5 (GEE example):<a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2015\/02\/Solution_HW5.pdf\">Solution_HW5<\/a><\/li>\n<li>Linear Discriminant Analysis R code:\u00a0<a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2015\/01\/LinDiscriminantAnalysis_LDA.pdf\">LinDiscriminantAnalysis_LDA<\/a><\/li>\n<li><a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/FinalExam_TakeHome.pdf\">Take Home<\/a>\u00a0portion of Final Exam (due Friday, Feb. 6th at the latest). Please hand it in at the &#8220;Sekretariat&#8221; of the Institute of Statistics or give it to me when I&#8217;m in my office.)<\/li>\n<\/ul>\n<\/div>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li><span style=\"color: #ffffff\">Statistical Learning: Free <a href=\"http:\/\/www-bcf.usc.edu\/~gareth\/ISL\/\"><span style=\"color: #ffffff\">download<\/span><\/a> of book pdf. (for regression trees later in the course)\u00a0<\/span><\/li>\n<li><span style=\"color: #ffffff\">Exact tests for multinomial probabilities: <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/exact_multinomial_tests.txt\"><span style=\"color: #ffffff\">exact_multinomial_tests<\/span><\/a><\/span><\/li>\n<li><span style=\"color: #ffffff\">Homework 2: <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/HW2.pdf\"><span style=\"color: #ffffff\">HW2<\/span><\/a><\/span><\/li>\n<li><span style=\"color: #ffffff\">Comparing two proportions: <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/R-code-for-inference-about-two-proportions.pdf\"><span style=\"color: #ffffff\">R code for inference about two proportions<\/span><\/a>R code for Chi-squared tests for independence &amp; homogeneity:<a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/R-code-for-inference-about-several-proportions.pdf\"><span style=\"color: #ffffff\">R code for inference about several proportions<\/span><\/a><\/span>\n<ul>\n<li><span style=\"color: #c0c0c0\">R code for score confidence interval: <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2011\/10\/score_int.txt\"><span style=\"color: #c0c0c0\">score_int<\/span><\/a><\/span><\/li>\n<\/ul>\n<\/li>\n<li><\/li>\n<li><span style=\"color: #ffffff\">Homework 3: <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/HW3.pdf\"><span style=\"color: #ffffff\">HW3<\/span><\/a><\/span><\/li>\n<li><span style=\"color: #ffffff\">In-Class part of Midterm 1:<a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/Midterm1.pdf\"><span style=\"color: #ffffff\"><br \/>\n<\/span><\/a><\/span><\/li>\n<li><span style=\"color: #ffffff\">Take Home part of Midterm 1 (due Friday, March 29th):<a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/Midterm1_TakeHome.pdf\"><span style=\"color: #ffffff\"><br \/>\n<\/span><\/a><\/span><\/li>\n<li><span style=\"color: #ffffff\">Logistic Regression in R: <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/shuttle.txt\"><span style=\"color: #ffffff\">shuttle<\/span><\/a><br \/>\n<\/span><\/li>\n<\/ul>\n<ul>\n<li><span style=\"color: #c0c0c0\">Space shuttle data set: <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/challenger.txt\"><span style=\"color: #c0c0c0\">challenger<\/span><\/a><\/span><\/li>\n<li><span style=\"color: #c0c0c0\">View of Launch Pad:\u00a0<\/span><\/li>\n<li><span style=\"color: #c0c0c0\"><a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/Launch-Pad.jpg\"><span style=\"color: #c0c0c0\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-thumbnail wp-image-269\" src=\"https:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/Launch-Pad-150x150.jpg\" alt=\"\" width=\"69\" height=\"69\" \/><\/span><\/a><\/span><\/li>\n<li><span style=\"color: #c0c0c0\"><a href=\"http:\/\/en.wikipedia.org\/wiki\/Space_Shuttle_Challenger_disaster\"><span style=\"color: #c0c0c0\">Wiki entry<\/span><\/a> of the Challenger disaster<\/span><\/li>\n<li><span style=\"color: #ffffff\">Horseshoe Crab data: <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/crab.txt\"><span style=\"color: #ffffff\">crab<\/span><\/a>Homework 4: <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/HW4.pdf\"><span style=\"color: #ffffff\">HW4<\/span><\/a><\/span>\n<ul>\n<li><span style=\"color: #c0c0c0\"><a href=\"http:\/\/en.wikipedia.org\/wiki\/Horseshoe_crab\"><span style=\"color: #c0c0c0\">Wiki entry<\/span><\/a><\/span><\/li>\n<li><span style=\"color: #c0c0c0\">R code: <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/Horseshoe.txt\"><span style=\"color: #c0c0c0\">Horseshoe<\/span><\/a><\/span><\/li>\n<\/ul>\n<\/li>\n<li><\/li>\n<li><span style=\"color: #ffffff\">Multinomial Response Models:<\/span>\n<ul>\n<li><span style=\"color: #c0c0c0\">Alligator data set: <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/alligator.txt\"><span style=\"color: #c0c0c0\">alligator<\/span><\/a><\/span><\/li>\n<li><span style=\"color: #c0c0c0\">R code to fit baseline category model: <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/alli.txt\"><span style=\"color: #c0c0c0\">alli<\/span><\/a><\/span><\/li>\n<li><span style=\"color: #c0c0c0\">Pneumonia in coalminers data set:<a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/coalminers.txt\"><span style=\"color: #c0c0c0\">coalminers<\/span><\/a><\/span><\/li>\n<li><span style=\"color: #c0c0c0\">R code for cumulative logit models: <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/Rcode_coalminers.txt\"><span style=\"color: #c0c0c0\">Rcode_coalminers<\/span><\/a><\/span><\/li>\n<li><span style=\"color: #c0c0c0\">Another cumulative logit model: Mental depression<\/span>\n<ul>\n<li><span style=\"color: #c0c0c0\">Data Set (as .txt file): <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/mental.txt\"><span style=\"color: #c0c0c0\">mental<\/span><\/a><\/span><\/li>\n<li><span style=\"color: #c0c0c0\">Annotated R code (using packages vglm or ordinal): <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/CumLogit1.pdf\"><span style=\"color: #c0c0c0\">CumLogit<\/span><\/a><\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li><span style=\"color: #ffffff\">Loglinear Models:<\/span>\n<ul>\n<li><span style=\"color: #c0c0c0\">\u00a0For Contingency Tables: Alc-Cig-Mar use: <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/alccigmar.txt\"><span style=\"color: #c0c0c0\">alccigmar<\/span><\/a><\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"color: #ffffff\">Not covered: Models for repeated binary observationsHomework 5: <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/HW5.pdf\"><span style=\"color: #ffffff\">HW5<\/span><\/a><\/span>\n<ul>\n<li><span style=\"color: #c0c0c0\">Depression data: <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/depression.txt\"><span style=\"color: #c0c0c0\">depression<\/span><\/a><br \/>\n<\/span><\/li>\n<li><span style=\"color: #ff0000\"><span style=\"color: #000000\"><span style=\"color: #c0c0c0\">R code for GEE (and GLMM) with depression data: <a href=\"http:\/\/sites.williams.edu\/bklingen\/files\/2012\/02\/Rcode_depression.txt\"><span style=\"color: #c0c0c0\">Rcode_depression<\/span><\/a><\/span><\/span><\/span><\/li>\n<\/ul>\n<\/li>\n<li><\/li>\n<li><span style=\"color: #ffffff\">Final Exam (due next Friday):<br \/>\n<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #ffffff\">\u00a0<\/span><\/p>\n<p><span style=\"color: #ffffff\">\u00a0<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Syllabus Diese Vorlesung ist in English:\u00a0German Coast Guard Discrete Distributions in R\u00a0(best viewed in Tinn-R\u00a0or some other editor) Exploratory analysis with categorical data:\u00a0R and Categorical Variables Inference (Test, CI, Power) for a single proportion: R code for inference about single proportion First Homework: HW1 Please fill out this survey (only one question!) R code from [&hellip;]<\/p>\n","protected":false},"author":342,"featured_media":0,"parent":938,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-216","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/sites.williams.edu\/bklingen\/wp-json\/wp\/v2\/pages\/216","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.williams.edu\/bklingen\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.williams.edu\/bklingen\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/bklingen\/wp-json\/wp\/v2\/users\/342"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/bklingen\/wp-json\/wp\/v2\/comments?post=216"}],"version-history":[{"count":117,"href":"https:\/\/sites.williams.edu\/bklingen\/wp-json\/wp\/v2\/pages\/216\/revisions"}],"predecessor-version":[{"id":1251,"href":"https:\/\/sites.williams.edu\/bklingen\/wp-json\/wp\/v2\/pages\/216\/revisions\/1251"}],"up":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/bklingen\/wp-json\/wp\/v2\/pages\/938"}],"wp:attachment":[{"href":"https:\/\/sites.williams.edu\/bklingen\/wp-json\/wp\/v2\/media?parent=216"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}