{"id":254575,"date":"2024-04-12T18:20:49","date_gmt":"2024-04-12T18:20:49","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/?p=254575"},"modified":"2024-04-12T18:20:49","modified_gmt":"2024-04-12T18:20:49","slug":"can-you-explain-what-a-one-sided-p-value-is","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/can-you-explain-what-a-one-sided-p-value-is\/","title":{"rendered":"Can you explain what a one-sided p-value is?"},"content":{"rendered":"<p>A one-sided p-value is a statistical measure used in hypothesis testing to determine the strength of evidence against a null hypothesis when the alternative hypothesis being tested is only directional (either greater than or less than the null). It tells us the probability of observing a result as extreme or more extreme than the one obtained, solely due to chance, assuming the null hypothesis is true.<\/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\/can-you-explain-what-a-one-sided-p-value-is\/#How_is_a_one-sided_p-value_calculated\" title=\"How is a one-sided p-value calculated?\">How is a one-sided p-value calculated?<\/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\/can-you-explain-what-a-one-sided-p-value-is\/#What_is_the_significance_level_for_a_one-sided_p-value\" title=\"What is the significance level for a one-sided p-value?\">What is the significance level for a one-sided p-value?<\/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\/can-you-explain-what-a-one-sided-p-value-is\/#How_is_a_one-sided_p-value_interpreted\" title=\"How is a one-sided p-value interpreted?\">How is a one-sided p-value interpreted?<\/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\/can-you-explain-what-a-one-sided-p-value-is\/#What_is_the_difference_between_a_one-sided_p-value_and_a_two-sided_p-value\" title=\"What is the difference between a one-sided p-value and a two-sided p-value?\">What is the difference between a one-sided p-value and a two-sided p-value?<\/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\/can-you-explain-what-a-one-sided-p-value-is\/#Why_is_a_one-sided_p-value_used\" title=\"Why is a one-sided p-value used?\">Why is a one-sided p-value used?<\/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\/can-you-explain-what-a-one-sided-p-value-is\/#Can_a_one-sided_p-value_be_greater_than_1\" title=\"Can a one-sided p-value be greater than 1?\">Can a one-sided p-value be greater than 1?<\/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\/can-you-explain-what-a-one-sided-p-value-is\/#What_is_the_relationship_between_a_one-sided_p-value_and_the_test_statistic\" title=\"What is the relationship between a one-sided p-value and the test statistic?\">What is the relationship between a one-sided p-value and the test statistic?<\/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\/can-you-explain-what-a-one-sided-p-value-is\/#Is_a_small_one-sided_p-value_always_better\" title=\"Is a small one-sided p-value always better?\">Is a small one-sided p-value always better?<\/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\/can-you-explain-what-a-one-sided-p-value-is\/#Is_a_one-sided_p-value_the_same_as_a_confidence_interval\" title=\"Is a one-sided p-value the same as a confidence interval?\">Is a one-sided p-value the same as a confidence interval?<\/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\/can-you-explain-what-a-one-sided-p-value-is\/#Can_a_one-sided_p-value_be_negative\" title=\"Can a one-sided p-value be negative?\">Can a one-sided p-value be negative?<\/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\/can-you-explain-what-a-one-sided-p-value-is\/#How_does_sample_size_affect_a_one-sided_p-value\" title=\"How does sample size affect a one-sided p-value?\">How does sample size affect a one-sided p-value?<\/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\/can-you-explain-what-a-one-sided-p-value-is\/#Can_a_one-sided_p-value_determine_the_effect_size_of_an_alternative_hypothesis\" title=\"Can a one-sided p-value determine the effect size of an alternative hypothesis?\">Can a one-sided p-value determine the effect size of an alternative hypothesis?<\/a><\/li><\/ul><\/nav><\/div>\n<h3><span class=\"ez-toc-section\" id=\"How_is_a_one-sided_p-value_calculated\"><\/span>How is a one-sided p-value calculated?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA one-sided p-value is usually calculated by finding the area under the probability distribution curve that corresponds to the tail area for the observed test statistic. This area represents the probability of obtaining a result as extreme or more extreme than the observed result under the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"What_is_the_significance_level_for_a_one-sided_p-value\"><\/span>What is the significance level for a one-sided p-value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe significance level for a one-sided p-value is typically set before conducting the hypothesis test. It represents the maximum acceptable probability of rejecting the null hypothesis when it is actually true. Common significance levels include 0.05 (5%) or 0.01 (1%).<\/p>\n<h3><span class=\"ez-toc-section\" id=\"How_is_a_one-sided_p-value_interpreted\"><\/span>How is a one-sided p-value interpreted?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe interpretation of a one-sided p-value depends on its relationship to the pre-defined significance level. If the p-value is less than the significance level, it suggests evidence against the null hypothesis in favor of the alternative hypothesis. However, if the p-value is greater than the significance level, there is insufficient evidence to reject the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"What_is_the_difference_between_a_one-sided_p-value_and_a_two-sided_p-value\"><\/span>What is the difference between a one-sided p-value and a two-sided p-value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA one-sided p-value is used when the alternative hypothesis is directional, specifying either a greater than or less than relationship with the null hypothesis value. On the other hand, a two-sided p-value is used for a non-directional alternative hypothesis, where we are interested in deviations from the null hypothesis in both directions.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Why_is_a_one-sided_p-value_used\"><\/span>Why is a one-sided p-value used?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA one-sided p-value is used when there is prior knowledge or a specific expectation about the direction of the effect being tested. It allows for targeted hypothesis testing and can provide more power by focusing only on the relevant tail of the distribution.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Can_a_one-sided_p-value_be_greater_than_1\"><\/span>Can a one-sided p-value be greater than 1?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, a one-sided p-value cannot be greater than 1. It is a probability value, and probabilities are always between 0 and 1.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"What_is_the_relationship_between_a_one-sided_p-value_and_the_test_statistic\"><\/span>What is the relationship between a one-sided p-value and the test statistic?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe one-sided p-value is calculated from the test statistic. The test statistic measures how far the observed data deviate from the null hypothesis value, and the p-value quantifies the likelihood of observing a result at least as extreme as the calculated test statistic.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Is_a_small_one-sided_p-value_always_better\"><\/span>Is a small one-sided p-value always better?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA small one-sided p-value indicates strong evidence against the null hypothesis, supporting the alternative hypothesis. However, &#8220;better&#8221; depends on the context and research question being addressed. It is essential to consider the practical significance of the effect being tested along with the statistical significance.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Is_a_one-sided_p-value_the_same_as_a_confidence_interval\"><\/span>Is a one-sided p-value the same as a confidence interval?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, a one-sided p-value and a confidence interval are not the same. While a one-sided p-value helps determine the statistical significance of a hypothesis test, a confidence interval provides an estimation of the plausible range of values for the population parameter being tested.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Can_a_one-sided_p-value_be_negative\"><\/span>Can a one-sided p-value be negative?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, a one-sided p-value cannot be negative. It represents a probability and therefore must take values between 0 and 1.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"How_does_sample_size_affect_a_one-sided_p-value\"><\/span>How does sample size affect a one-sided p-value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nAn increase in sample size can lead to a smaller one-sided p-value, assuming other factors remain constant. With a larger sample size, the test has more power to detect smaller effects, resulting in stronger evidence against the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Can_a_one-sided_p-value_determine_the_effect_size_of_an_alternative_hypothesis\"><\/span>Can a one-sided p-value determine the effect size of an alternative hypothesis?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, a one-sided p-value alone cannot determine the effect size of an alternative hypothesis. It only provides information about the statistical significance of the observed data. Effect size measures, such as Cohen&#8217;s d or correlation coefficients, are necessary to quantify the magnitude of the relationship between variables.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A one-sided p-value is a statistical measure used in hypothesis testing to determine the strength of evidence against a null hypothesis when the alternative hypothesis being tested is only directional (either greater than or less than the null). It tells us the probability of observing a result as extreme or more extreme than the one &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"Can you explain what a one-sided p-value is?\" class=\"read-more button\" href=\"https:\/\/namso-gen.co\/blog\/can-you-explain-what-a-one-sided-p-value-is\/#more-254575\">Read more<span class=\"screen-reader-text\">Can you explain what a one-sided p-value is?<\/span><\/a><\/p>\n","protected":false},"author":64,"featured_media":107420,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[86279],"tags":[],"class_list":["post-254575","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>Can you explain what a one-sided p-value is?<\/title>\n<meta name=\"description\" content=\"A one-sided p-value is a statistical measure used in hypothesis testing to determine the strength of evidence against a null hypothesis when the\" \/>\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\/can-you-explain-what-a-one-sided-p-value-is\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Can you explain what a one-sided p-value is?\" \/>\n<meta property=\"og:description\" content=\"A one-sided p-value is a statistical measure used in hypothesis testing to determine the strength of evidence against a null hypothesis when the\" \/>\n<meta property=\"og:url\" content=\"https:\/\/namso-gen.co\/blog\/can-you-explain-what-a-one-sided-p-value-is\/\" \/>\n<meta property=\"og:site_name\" content=\"Namso Gen Blog - 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