{"id":221919,"date":"2025-01-29T12:19:24","date_gmt":"2025-01-29T12:19:24","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/what-is-the-p-value-in-mann-whitney-u-test\/"},"modified":"2025-01-29T12:19:24","modified_gmt":"2025-01-29T12:19:24","slug":"what-is-the-p-value-in-mann-whitney-u-test","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/what-is-the-p-value-in-mann-whitney-u-test\/","title":{"rendered":"What is the p-value in Mann-Whitney U test?"},"content":{"rendered":"<p>The Mann-Whitney U test is a non-parametric statistical test used to determine if there is a significant difference between two independent groups. The p-value in the Mann-Whitney U test represents the probability of obtaining the observed test statistic (U) or a test statistic more extreme, assuming the null hypothesis is true. It helps us assess the significance of the observed difference between the two groups.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_62 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title \" >Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/namso-gen.co\/blog\/what-is-the-p-value-in-mann-whitney-u-test\/#What_does_the_p-value_signify\" title=\"What does the p-value signify?\">What does the p-value signify?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/namso-gen.co\/blog\/what-is-the-p-value-in-mann-whitney-u-test\/#How_is_the_p-value_calculated_in_Mann-Whitney_U_test\" title=\"How is the p-value calculated in Mann-Whitney U test?\">How is the p-value calculated in Mann-Whitney U test?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/namso-gen.co\/blog\/what-is-the-p-value-in-mann-whitney-u-test\/#What_happens_if_the_p-value_is_less_than_the_chosen_significance_level\" title=\"What happens if the p-value is less than the chosen significance level?\">What happens if the p-value is less than the chosen significance level?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/namso-gen.co\/blog\/what-is-the-p-value-in-mann-whitney-u-test\/#What_happens_if_the_p-value_is_greater_than_the_chosen_significance_level\" title=\"What happens if the p-value is greater than the chosen significance level?\">What happens if the p-value is greater than the chosen significance level?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/namso-gen.co\/blog\/what-is-the-p-value-in-mann-whitney-u-test\/#Can_the_p-value_be_negative\" title=\"Can the p-value be negative?\">Can the p-value be negative?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/namso-gen.co\/blog\/what-is-the-p-value-in-mann-whitney-u-test\/#What_does_a_p-value_of_005_mean\" title=\"What does a p-value of 0.05 mean?\">What does a p-value of 0.05 mean?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/namso-gen.co\/blog\/what-is-the-p-value-in-mann-whitney-u-test\/#Can_the_p-value_exceed_1\" title=\"Can the p-value exceed 1?\">Can the p-value exceed 1?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/namso-gen.co\/blog\/what-is-the-p-value-in-mann-whitney-u-test\/#Is_a_smaller_p-value_always_better\" title=\"Is a smaller p-value always better?\">Is a smaller p-value always better?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/namso-gen.co\/blog\/what-is-the-p-value-in-mann-whitney-u-test\/#What_is_the_relationship_between_the_p-value_and_confidence_interval\" title=\"What is the relationship between the p-value and confidence interval?\">What is the relationship between the p-value and confidence interval?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/namso-gen.co\/blog\/what-is-the-p-value-in-mann-whitney-u-test\/#What_is_type_I_error\" title=\"What is type I error?\">What is type I error?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/namso-gen.co\/blog\/what-is-the-p-value-in-mann-whitney-u-test\/#What_is_type_II_error\" title=\"What is type II error?\">What is type II error?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/namso-gen.co\/blog\/what-is-the-p-value-in-mann-whitney-u-test\/#What_other_statistical_tests_can_be_used_instead_of_the_Mann-Whitney_U_test\" title=\"What other statistical tests can be used instead of the Mann-Whitney U test?\">What other statistical tests can be used instead of the Mann-Whitney U test?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/namso-gen.co\/blog\/what-is-the-p-value-in-mann-whitney-u-test\/#Can_the_Mann-Whitney_U_test_be_used_for_dependent_or_paired_samples\" title=\"Can the Mann-Whitney U test be used for dependent or paired samples?\">Can the Mann-Whitney U test be used for dependent or paired samples?<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"What_does_the_p-value_signify\"><\/span>What does the p-value signify?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nThe p-value provides a measure of the strength of evidence against the null hypothesis. A small p-value (usually considered below 0.05) suggests that the observed difference between the groups is statistically significant, indicating that the two groups are likely to be truly different from each other.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_is_the_p-value_calculated_in_Mann-Whitney_U_test\"><\/span>How is the p-value calculated in Mann-Whitney U test?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nThe calculation of the p-value in the Mann-Whitney U test involves comparing the obtained U statistic to a critical value from the null distribution. The exact method of calculating the p-value can vary depending on the software or statistical package used.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_happens_if_the_p-value_is_less_than_the_chosen_significance_level\"><\/span>What happens if the p-value is less than the chosen significance level?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nIf the p-value is less than the chosen significance level (usually 0.05), it suggests that the observed difference between the two groups is statistically significant. In other words, there is strong evidence to reject the null hypothesis and conclude that the two groups are likely to be different from each other.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_happens_if_the_p-value_is_greater_than_the_chosen_significance_level\"><\/span>What happens if the p-value is greater than the chosen significance level?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nIf the p-value is greater than the chosen significance level (e.g., 0.05), it suggests that the observed difference between the two groups is not statistically significant. In this case, there is insufficient evidence to reject the null hypothesis, and we conclude that the two groups are not significantly different.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Can_the_p-value_be_negative\"><\/span>Can the p-value be negative?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nNo, the p-value cannot be negative. The p-value is always a value between 0 and 1, representing the probability of obtaining a test statistic as extreme as, or more extreme than, the observed value.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_does_a_p-value_of_005_mean\"><\/span>What does a p-value of 0.05 mean?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nA p-value of 0.05 means that there is a 5% chance of obtaining a test statistic as extreme as, or more extreme than, the observed value under the assumption that the null hypothesis is true. It is a commonly chosen significance level to determine statistical significance.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Can_the_p-value_exceed_1\"><\/span>Can the p-value exceed 1?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nNo, the p-value cannot exceed 1. The p-value is a probability, and probabilities range from 0 to 1. If the p-value surpasses 1, it suggests an error in the calculation.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Is_a_smaller_p-value_always_better\"><\/span>Is a smaller p-value always better?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nA smaller p-value does not necessarily indicate a better outcome. The p-value is not a measure of effect size or the magnitude of the difference between groups. It solely indicates the probability of observing a test statistic as extreme as, or more extreme than, the observed value under the null hypothesis.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_the_relationship_between_the_p-value_and_confidence_interval\"><\/span>What is the relationship between the p-value and confidence interval?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nThe p-value and the confidence interval are related but provide different types of information. Whereas the p-value assesses the statistical significance of the observed difference, the confidence interval provides a range of plausible values for the true difference between the two groups.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_type_I_error\"><\/span>What is type I error?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nType I error, also known as a false positive, occurs when we reject the null hypothesis when it is actually true. In the context of the Mann-Whitney U test, it means concluding there is a significant difference between the groups when there isn&#8217;t one.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_type_II_error\"><\/span>What is type II error?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nType II error, also known as a false negative, occurs when we fail to reject the null hypothesis when it is actually false. In the Mann-Whitney U test, it means failing to detect a significant difference between the groups when there is one.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_other_statistical_tests_can_be_used_instead_of_the_Mann-Whitney_U_test\"><\/span>What other statistical tests can be used instead of the Mann-Whitney U test?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nOther statistical tests that can be used instead of the Mann-Whitney U test depend on the nature of the data and the specific research question. If the data meet certain assumptions, one could use the independent t-test for normally distributed data or other non-parametric tests like the Kruskal-Wallis test for comparing three or more groups.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Can_the_Mann-Whitney_U_test_be_used_for_dependent_or_paired_samples\"><\/span>Can the Mann-Whitney U test be used for dependent or paired samples?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nNo, the Mann-Whitney U test is specifically designed for independent samples. For dependent or paired samples, other statistical tests such as the Wilcoxon signed-rank test should be used.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Mann-Whitney U test is a non-parametric statistical test used to determine if there is a significant difference between two independent groups. The p-value in the Mann-Whitney U test represents the probability of obtaining the observed test statistic (U) or a test statistic more extreme, assuming the null hypothesis is true. It helps us assess &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"What is the p-value in Mann-Whitney U test?\" class=\"read-more button\" href=\"https:\/\/namso-gen.co\/blog\/what-is-the-p-value-in-mann-whitney-u-test\/#more-221919\">Read more<span class=\"screen-reader-text\">What is the p-value in Mann-Whitney U test?<\/span><\/a><\/p>\n","protected":false},"author":56,"featured_media":107420,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[86279],"tags":[],"class_list":["post-221919","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-learn","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What is the p-value in Mann-Whitney U test?<\/title>\n<meta name=\"description\" content=\"The Mann-Whitney U test is a non-parametric statistical test used to determine if there is a significant difference between two independent groups. 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