{"id":262183,"date":"2024-04-03T20:37:38","date_gmt":"2024-04-03T20:37:38","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/?p=262183"},"modified":"2024-04-03T20:37:38","modified_gmt":"2024-04-03T20:37:38","slug":"what-does-a-fisher-test-p-value-indicate","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/what-does-a-fisher-test-p-value-indicate\/","title":{"rendered":"What does a Fisher test p-value indicate?"},"content":{"rendered":"<p>**What does a Fisher test p-value indicate?**<\/p>\n<p>The Fisher test, also known as Fisher&#8217;s exact test, is a statistical test used to determine the significance of association between two categorical variables in a contingency table. It calculates a p-value, which indicates the probability of obtaining the observed data (or more extreme) if there is no association between the variables. In simpler terms, the p-value tells us the strength of evidence against the null hypothesis of no association.<\/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-3'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-fisher-test-p-value-indicate\/#What_is_a_p-value\" title=\"What is a p-value?\">What is a p-value?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-fisher-test-p-value-indicate\/#How_is_the_Fisher_test_conducted\" title=\"How is the Fisher test conducted?\">How is the Fisher test conducted?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-fisher-test-p-value-indicate\/#What_is_a_contingency_table\" title=\"What is a contingency table?\">What is a contingency table?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-fisher-test-p-value-indicate\/#When_should_the_Fisher_test_be_used\" title=\"When should the Fisher test be used?\">When should the Fisher test be used?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-fisher-test-p-value-indicate\/#What_does_it_mean_if_the_p-value_is_small\" title=\"What does it mean if the p-value is small?\">What does it mean if the p-value is small?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-fisher-test-p-value-indicate\/#What_does_it_mean_if_the_p-value_is_large\" title=\"What does it mean if the p-value is large?\">What does it mean if the p-value is large?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-fisher-test-p-value-indicate\/#Can_a_p-value_be_exactly_0\" title=\"Can a p-value be exactly 0?\">Can a p-value be exactly 0?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-fisher-test-p-value-indicate\/#Does_a_small_p-value_indicate_the_presence_of_a_strong_association\" title=\"Does a small p-value indicate the presence of a strong association?\">Does a small p-value indicate the presence of a strong association?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-fisher-test-p-value-indicate\/#Can_the_Fisher_test_determine_causality\" title=\"Can the Fisher test determine causality?\">Can the Fisher test determine causality?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-fisher-test-p-value-indicate\/#What_other_tests_can_be_used_to_analyze_categorical_data\" title=\"What other tests can be used to analyze categorical data?\">What other tests can be used to analyze categorical data?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-fisher-test-p-value-indicate\/#Is_a_Fisher_test_appropriate_for_continuous_data\" title=\"Is a Fisher test appropriate for continuous data?\">Is a Fisher test appropriate for continuous data?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-fisher-test-p-value-indicate\/#Can_the_Fisher_test_be_used_for_more_than_two_categorical_variables\" title=\"Can the Fisher test be used for more than two categorical variables?\">Can the Fisher test be used for more than two categorical variables?<\/a><\/li><\/ul><\/nav><\/div>\n<h3><span class=\"ez-toc-section\" id=\"What_is_a_p-value\"><\/span>What is a p-value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA p-value is a measure of the strength of evidence against the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"How_is_the_Fisher_test_conducted\"><\/span>How is the Fisher test conducted?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe Fisher test involves calculating the probability of observing a distribution as extreme or more extreme than the observed distribution, assuming that the null hypothesis is true.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"What_is_a_contingency_table\"><\/span>What is a contingency table?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA contingency table is a way to summarize two categorical variables in a tabular format. It shows the frequencies or proportions of the variables.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"When_should_the_Fisher_test_be_used\"><\/span>When should the Fisher test be used?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe Fisher test is appropriate when analyzing categorical data and the sample size is small, or when any of the expected cell frequencies are less than 5.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"What_does_it_mean_if_the_p-value_is_small\"><\/span>What does it mean if the p-value is small?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA small p-value (typically less than 0.05) indicates strong evidence against the null hypothesis and suggests that there may be an association between the variables.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"What_does_it_mean_if_the_p-value_is_large\"><\/span>What does it mean if the p-value is large?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA large p-value (typically greater than 0.05) suggests weak evidence against the null hypothesis, implying that there may not be a significant association between the variables.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Can_a_p-value_be_exactly_0\"><\/span>Can a p-value be exactly 0?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, a p-value cannot be exactly 0. It is always a small positive value.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Does_a_small_p-value_indicate_the_presence_of_a_strong_association\"><\/span>Does a small p-value indicate the presence of a strong association?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, a small p-value indicates strong evidence against the null hypothesis, but it does not provide information about the magnitude or strength of the association.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Can_the_Fisher_test_determine_causality\"><\/span>Can the Fisher test determine causality?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, the Fisher test is a statistical tool that can identify association, but it cannot establish causality.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"What_other_tests_can_be_used_to_analyze_categorical_data\"><\/span>What other tests can be used to analyze categorical data?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nOther commonly used tests for categorical data include the chi-square test and the G-test.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Is_a_Fisher_test_appropriate_for_continuous_data\"><\/span>Is a Fisher test appropriate for continuous data?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, the Fisher test is specifically designed for categorical data. For continuous data, other tests such as t-tests or ANOVA are more appropriate.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Can_the_Fisher_test_be_used_for_more_than_two_categorical_variables\"><\/span>Can the Fisher test be used for more than two categorical variables?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nYes, the Fisher test can be extended to contingency tables with more than two categorical variables, but the calculation becomes more complex.<\/p>\n<p>In conclusion, the Fisher test p-value indicates the probability of observing the observed data or more extreme if the null hypothesis of no association is true. It helps researchers assess the strength of evidence against the null hypothesis and determine the presence of an association between categorical variables. However, it is important to remember that the Fisher test alone cannot establish causality and should be interpreted alongside other relevant information and statistical techniques.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>**What does a Fisher test p-value indicate?** The Fisher test, also known as Fisher&#8217;s exact test, is a statistical test used to determine the significance of association between two categorical variables in a contingency table. It calculates a p-value, which indicates the probability of obtaining the observed data (or more extreme) if there is no &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"What does a Fisher test p-value indicate?\" class=\"read-more button\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-fisher-test-p-value-indicate\/#more-262183\">Read more<span class=\"screen-reader-text\">What does a Fisher test p-value indicate?<\/span><\/a><\/p>\n","protected":false},"author":66,"featured_media":107420,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[86279],"tags":[],"class_list":["post-262183","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 does a Fisher test p-value indicate?<\/title>\n<meta name=\"description\" content=\"**What does a Fisher test p-value indicate?** The Fisher test, also known as Fisher&#039;s exact test, is a statistical test used to determine the significance\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-fisher-test-p-value-indicate\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What does a Fisher test p-value indicate?\" \/>\n<meta property=\"og:description\" content=\"**What does a Fisher test p-value indicate?** The Fisher test, also known as Fisher&#039;s exact test, is a statistical test used to determine the significance\" \/>\n<meta property=\"og:url\" content=\"https:\/\/namso-gen.co\/blog\/what-does-a-fisher-test-p-value-indicate\/\" \/>\n<meta property=\"og:site_name\" content=\"Namso Gen Blog - 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