{"id":217116,"date":"2023-10-05T17:53:19","date_gmt":"2023-10-05T17:53:19","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/what-axis-is-the-p-value-on\/"},"modified":"2023-10-05T17:53:19","modified_gmt":"2023-10-05T17:53:19","slug":"what-axis-is-the-p-value-on","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/what-axis-is-the-p-value-on\/","title":{"rendered":"What axis is the p-value on?"},"content":{"rendered":"<p>The p-value is a statistical measure used in hypothesis testing to determine the significance of the results obtained from a sample data set. It plays a crucial role in determining whether the observed data is consistent with a null hypothesis or if it supports the alternative hypothesis. However, the p-value itself is not directly associated with any particular axis.<\/p>\n<p>The p-value is a probability value that represents the likelihood of obtaining the observed data or more extreme results, assuming that the null hypothesis is true. In hypothesis testing, it is compared to a predetermined significance level (often denoted as \u03b1) to make a decision about rejecting or failing to reject the null hypothesis. The p-value is not plotted on a specific axis, but rather compared to a fixed threshold value.<\/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-axis-is-the-p-value-on\/#What_is_the_significance_level_%CE%B1\" title=\"What is the significance level (\u03b1)?\">What is the significance level (\u03b1)?<\/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-axis-is-the-p-value-on\/#How_is_the_p-value_compared_to_the_significance_level\" title=\"How is the p-value compared to the significance level?\">How is the p-value compared to the significance level?<\/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-axis-is-the-p-value-on\/#What_does_it_mean_if_the_p-value_is_less_than_the_significance_level\" title=\"What does it mean if the p-value is less than the significance level?\">What does it mean if the p-value is less than the significance level?<\/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-axis-is-the-p-value-on\/#What_does_it_mean_if_the_p-value_is_greater_than_the_significance_level\" title=\"What does it mean if the p-value is greater than the significance level?\">What does it mean if the p-value is greater than the significance level?<\/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-axis-is-the-p-value-on\/#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-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/namso-gen.co\/blog\/what-axis-is-the-p-value-on\/#What_is_a_small_p-value\" title=\"What is a small p-value?\">What is a small p-value?<\/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-axis-is-the-p-value-on\/#What_is_a_large_p-value\" title=\"What is a large p-value?\">What is a large p-value?<\/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-axis-is-the-p-value-on\/#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-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/namso-gen.co\/blog\/what-axis-is-the-p-value-on\/#Can_the_p-value_be_equal_to_the_significance_level\" title=\"Can the p-value be equal to the significance level?\">Can the p-value be equal to the significance level?<\/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-axis-is-the-p-value-on\/#Can_we_determine_the_strength_of_an_effect_from_the_p-value_alone\" title=\"Can we determine the strength of an effect from the p-value alone?\">Can we determine the strength of an effect from the p-value alone?<\/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-axis-is-the-p-value-on\/#Is_a_smaller_p-value_always_more_impressive_or_important\" title=\"Is a smaller p-value always more impressive or important?\">Is a smaller p-value always more impressive or important?<\/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-axis-is-the-p-value-on\/#Can_the_p-value_be_used_as_a_measure_of_the_importance_of_a_result\" title=\"Can the p-value be used as a measure of the importance of a result?\">Can the p-value be used as a measure of the importance of a result?<\/a><\/li><\/ul><\/nav><\/div>\n<h3><span class=\"ez-toc-section\" id=\"What_is_the_significance_level_%CE%B1\"><\/span>What is the significance level (\u03b1)?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe significance level (\u03b1) is the predetermined threshold for accepting or rejecting the null hypothesis. Commonly used values for \u03b1 are 0.05 and 0.01, representing a 5% and 1% chance of making a Type I error, respectively.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"How_is_the_p-value_compared_to_the_significance_level\"><\/span>How is the p-value compared to the significance level?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe p-value is compared to the significance level (\u03b1) to make a decision regarding the null hypothesis. If the p-value is smaller than \u03b1, it is considered statistically significant, and the null hypothesis is rejected. If the p-value is greater than or equal to \u03b1, there is insufficient evidence to reject the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"What_does_it_mean_if_the_p-value_is_less_than_the_significance_level\"><\/span>What does it mean if the p-value is less than the significance level?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nIf the p-value is less than the significance level (\u03b1), it suggests that the observed data is unlikely to have occurred purely by chance under the null hypothesis. This leads to the rejection of the null hypothesis in favor of the alternative hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"What_does_it_mean_if_the_p-value_is_greater_than_the_significance_level\"><\/span>What does it mean if the p-value is greater than the significance level?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nIf the p-value is greater than or equal to the significance level (\u03b1), it indicates that the observed data is reasonably likely to have occurred by chance under the null hypothesis. In such cases, there is insufficient evidence to reject the null hypothesis.<\/p>\n<h3><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><\/h3>\n<p>\nNo, the p-value cannot be negative. It ranges between 0 and 1, with 0 indicating strong evidence against the null hypothesis and 1 suggesting strong evidence in favor of the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"What_is_a_small_p-value\"><\/span>What is a small p-value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA small p-value (typically less than 0.05) indicates that the observed data is highly unlikely to have occurred by chance, providing evidence against the null hypothesis. This suggests that there is a significant relationship or effect present in the data.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"What_is_a_large_p-value\"><\/span>What is a large p-value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA large p-value (typically greater than or equal to 0.05) suggests that the observed data is reasonably likely to have occurred by chance, providing insufficient evidence against the null hypothesis. This indicates a lack of a significant relationship or effect in the data.<\/p>\n<h3><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><\/h3>\n<p>\nNo, the p-value cannot exceed 1. It represents a probability and, therefore, must be between 0 and 1, inclusive.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Can_the_p-value_be_equal_to_the_significance_level\"><\/span>Can the p-value be equal to the significance level?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nYes, the p-value can be equal to the significance level. In such cases, the decision to reject or fail to reject the null hypothesis is contingent on the specific chosen level of significance.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Can_we_determine_the_strength_of_an_effect_from_the_p-value_alone\"><\/span>Can we determine the strength of an effect from the p-value alone?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, the p-value does not provide information about the strength or magnitude of an effect. It only tells us the likelihood of observing the data assuming the null hypothesis is true. The size and practical significance of the effect should be evaluated separately.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Is_a_smaller_p-value_always_more_impressive_or_important\"><\/span>Is a smaller p-value always more impressive or important?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNot necessarily. The interpretation of a p-value should always be done in the context of the specific research question and the practical significance of the observed effect. Although smaller p-values imply stronger evidence against the null hypothesis, the magnitude and real-world implications of the effect should be carefully considered.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Can_the_p-value_be_used_as_a_measure_of_the_importance_of_a_result\"><\/span>Can the p-value be used as a measure of the importance of a result?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, the p-value is not a measure of the importance or practical significance of a result. It solely assesses the strength of evidence against the null hypothesis based on sample data. Importance or practical significance should be evaluated through effect size estimates and domain-specific considerations.<\/p>\n<p>In conclusion, the p-value is not plotted on any specific axis but is compared to a predetermined significance level. Its role lies in providing evidence against the null hypothesis and informing statistical decision-making in hypothesis testing.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The p-value is a statistical measure used in hypothesis testing to determine the significance of the results obtained from a sample data set. It plays a crucial role in determining whether the observed data is consistent with a null hypothesis or if it supports the alternative hypothesis. However, the p-value itself is not directly associated &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"What axis is the p-value on?\" class=\"read-more button\" href=\"https:\/\/namso-gen.co\/blog\/what-axis-is-the-p-value-on\/#more-217116\">Read more<span class=\"screen-reader-text\">What axis is the p-value on?<\/span><\/a><\/p>\n","protected":false},"author":55,"featured_media":107420,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[86279],"tags":[],"class_list":["post-217116","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 axis is the p-value on?<\/title>\n<meta name=\"description\" content=\"The p-value is a statistical measure used in hypothesis testing to determine the significance of the results obtained from a sample data set. 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