{"id":15454,"date":"2020-03-22T09:49:00","date_gmt":"2020-03-22T08:49:00","guid":{"rendered":"https:\/\/www.datanovia.com\/en\/?p=15454"},"modified":"2020-03-22T09:49:00","modified_gmt":"2020-03-22T08:49:00","slug":"how-to-perform-multiple-paired-t-tests-in-r","status":"publish","type":"post","link":"https:\/\/www.datanovia.com\/en\/blog\/how-to-perform-multiple-paired-t-tests-in-r\/","title":{"rendered":"How to Perform Multiple Paired T-tests in R"},"content":{"rendered":"<div class=\"rdoc\">\n<h2 id=\"prerequisites\">Prerequisites<\/h2>\n<pre class=\"r\"><code># Load required R packages\r\nlibrary(tidyverse)\r\nlibrary(rstatix)\r\nlibrary(ggpubr)<\/code><\/pre>\n<h2 id=\"data-preparation\">Data preparation<\/h2>\n<p>We\u2019ll use the <code>anxiety<\/code> dataset [in the datarium package], which contains the anxiety score, measured at three time points (t1, t2 and t3), of three groups of individuals practicing physical exercises at different levels (grp1: basal, grp2: moderate and grp3: high).<\/p>\n<p>Load and show one random row by group:<\/p>\n<pre class=\"r\"><code># Wide format\r\nset.seed(123)\r\ndata(\"anxiety\", package = \"datarium\")\r\nanxiety %&gt;% sample_n_by(group, size = 1)<\/code><\/pre>\n<pre><code>## # A tibble: 3 x 5\r\n##   id    group    t1    t2    t3\r\n##   &lt;fct&gt; &lt;fct&gt; &lt;dbl&gt; &lt;dbl&gt; &lt;dbl&gt;\r\n## 1 5     grp1   16.5  15.8  15.7\r\n## 2 27    grp2   17.8  17.7  16.9\r\n## 3 37    grp3   17.1  15.6  14.3<\/code><\/pre>\n<pre class=\"r\"><code># Gather the columns t1, t2 and t3 into long format.\r\n# Convert id and time into factor variables\r\nanxiety &lt;- anxiety %&gt;%\r\n  gather(key = \"time\", value = \"score\", t1, t2, t3) %&gt;%\r\n  convert_as_factor(id, time)\r\n# Inspect some random rows of the data by groups\r\nset.seed(123)\r\nanxiety %&gt;% sample_n_by(group, time, size = 1)<\/code><\/pre>\n<pre><code>## # A tibble: 9 x 4\r\n##   id    group time  score\r\n##   &lt;fct&gt; &lt;fct&gt; &lt;fct&gt; &lt;dbl&gt;\r\n## 1 5     grp1  t1     16.5\r\n## 2 12    grp1  t2     17.7\r\n## 3 7     grp1  t3     16.5\r\n## 4 29    grp2  t1     18.4\r\n## 5 30    grp2  t2     18.9\r\n## 6 16    grp2  t3     12.7\r\n## 7 38    grp3  t1     17.3\r\n## 8 44    grp3  t2     16.4\r\n## 9 39    grp3  t3     14.4<\/code><\/pre>\n<h2 id=\"run-multiple-pairwise-comparisons-using-paired-t-tests\">Run multiple pairwise comparisons using paired t-tests<\/h2>\n<p>P-values are adjusted using the Bonferroni multiple testing correction method.<\/p>\n<pre class=\"r\"><code># Pairwise comparisons between time points at each group levels\r\n# Paired t-test is used because we have repeated measures by time\r\nstat.test &lt;- anxiety %&gt;%\r\n  group_by(group) %&gt;%\r\n  pairwise_t_test(\r\n    score ~ time, paired = TRUE, \r\n    p.adjust.method = \"bonferroni\"\r\n    ) %&gt;%\r\n  select(-df, -statistic, -p) # Remove details\r\nstat.test<\/code><\/pre>\n<pre><code>## # A tibble: 9 x 8\r\n##   group .y.   group1 group2    n1    n2    p.adj p.adj.signif\r\n## * &lt;fct&gt; &lt;chr&gt; &lt;chr&gt;  &lt;chr&gt;  &lt;int&gt; &lt;int&gt;    &lt;dbl&gt; &lt;chr&gt;       \r\n## 1 grp1  score t1     t2        15    15 1.94e- 1 ns          \r\n## 2 grp1  score t1     t3        15    15 2.00e- 3 **          \r\n## 3 grp1  score t2     t3        15    15 6.00e- 3 **          \r\n## 4 grp2  score t1     t2        15    15 2.68e- 1 ns          \r\n## 5 grp2  score t1     t3        15    15 1.51e- 7 ****        \r\n## 6 grp2  score t2     t3        15    15 6.12e- 8 ****        \r\n## 7 grp3  score t1     t2        15    15 5.97e-11 ****        \r\n## 8 grp3  score t1     t3        15    15 5.16e-13 ****        \r\n## 9 grp3  score t2     t3        15    15 1.78e- 9 ****<\/code><\/pre>\n<div class=\"success\">\n<p>The pairwise comparisons t1 vs t3 and t2 vs t3 were statistically significantly different for all groups.<\/p>\n<\/div>\n<h2 id=\"visualization-box-plots-with-p-values\">Visualization: box plots with p-values<\/h2>\n<pre class=\"r\"><code># Create the plot\r\nbxp &lt;- ggboxplot(\r\n  anxiety, x = \"group\", y = \"score\",\r\n  color = \"time\", palette = \"jco\"\r\n  )\r\n# Add statistical test p-values\r\nstat.test &lt;- stat.test %&gt;% add_xy_position(x = \"group\")\r\nbxp + stat_pvalue_manual(\r\n  stat.test, label = \"p.adj.signif\", \r\n  step.increase = 0.08\r\n  )<\/code><\/pre>\n<p><img decoding=\"async\" src=\"https:\/\/i.imgur.com\/5oFSvdw.png\" alt=\"plot of chunk multiple-paired-t-test-in-r-boxplots\" \/><\/p>\n<pre class=\"r\"><code># Hide ns\r\nbxp + stat_pvalue_manual(\r\n  stat.test, label = \"p.adj.signif\", \r\n  step.increase = 0.08, hide.ns = TRUE, tip.length = 0\r\n  )<\/code><\/pre>\n<p><img decoding=\"async\" src=\"https:\/\/i.imgur.com\/e146YSB.png\" alt=\"plot of chunk multiple-paired-t-test-in-r-boxplots\" \/><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Prerequisites # Load required R packages library(tidyverse) library(rstatix) library(ggpubr) Data preparation We\u2019ll use the anxiety dataset [in the datarium package], which contains the anxiety score, measured at three time points [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":15455,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"rating_form_position":"","rating_results_position":"","mr_structured_data_type":"","footnotes":""},"categories":[341],"tags":[343,355],"class_list":["post-15454","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-faq","tag-ggpubr","tag-r-stats"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>How to Perform Multiple Paired T-tests in R - Datanovia<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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