{"id":216240,"date":"2024-11-04T02:39:12","date_gmt":"2024-11-04T02:39:12","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/what-p-value-determines-statistical-significance\/"},"modified":"2024-11-04T02:39:12","modified_gmt":"2024-11-04T02:39:12","slug":"what-p-value-determines-statistical-significance","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/what-p-value-determines-statistical-significance\/","title":{"rendered":"What P value determines statistical significance?"},"content":{"rendered":"<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-p-value-determines-statistical-significance\/#What_P_Value_Determines_Statistical_Significance\" title=\"What P Value Determines Statistical Significance?\">What P Value Determines Statistical Significance?<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/namso-gen.co\/blog\/what-p-value-determines-statistical-significance\/#FAQs\" title=\"FAQs:\">FAQs:<\/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-p-value-determines-statistical-significance\/#1_What_is_a_p-value\" title=\"1. What is a p-value?\">1. 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-4\" href=\"https:\/\/namso-gen.co\/blog\/what-p-value-determines-statistical-significance\/#2_How_is_the_p-value_calculated\" title=\"2. How is the p-value calculated?\">2. How is the p-value calculated?<\/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-p-value-determines-statistical-significance\/#3_What_does_a_p-value_of_005_mean\" title=\"3. What does a p-value of 0.05 mean?\">3. What does a p-value of 0.05 mean?<\/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-p-value-determines-statistical-significance\/#4_Does_a_smaller_p-value_indicate_stronger_evidence_against_the_null_hypothesis\" title=\"4. Does a smaller p-value indicate stronger evidence against the null hypothesis?\">4. Does a smaller p-value indicate stronger evidence against the null hypothesis?<\/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-p-value-determines-statistical-significance\/#5_What_does_a_p-value_of_1_mean\" title=\"5. What does a p-value of 1 mean?\">5. What does a p-value of 1 mean?<\/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-p-value-determines-statistical-significance\/#6_Can_a_p-value_be_negative\" title=\"6. Can a p-value be negative?\">6. Can a 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-9\" href=\"https:\/\/namso-gen.co\/blog\/what-p-value-determines-statistical-significance\/#7_Can_a_p-value_exceed_1\" title=\"7. Can a p-value exceed 1?\">7. Can a 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-10\" href=\"https:\/\/namso-gen.co\/blog\/what-p-value-determines-statistical-significance\/#8_Can_a_p-value_be_0\" title=\"8. Can a p-value be 0?\">8. Can a p-value be 0?<\/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-p-value-determines-statistical-significance\/#9_Does_a_p-value_determine_the_effect_size\" title=\"9. Does a p-value determine the effect size?\">9. Does a p-value determine the effect size?<\/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-p-value-determines-statistical-significance\/#10_Can_a_study_be_statistically_significant_but_have_a_small_effect_size\" title=\"10. Can a study be statistically significant but have a small effect size?\">10. Can a study be statistically significant but have a small effect size?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/namso-gen.co\/blog\/what-p-value-determines-statistical-significance\/#11_What_happens_if_the_p-value_is_greater_than_the_significance_level\" title=\"11. What happens if the p-value is greater than the significance level?\">11. What happens 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-14\" href=\"https:\/\/namso-gen.co\/blog\/what-p-value-determines-statistical-significance\/#12_Is_statistical_significance_the_same_as_practical_significance\" title=\"12. Is statistical significance the same as practical significance?\">12. Is statistical significance the same as practical significance?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"What_P_Value_Determines_Statistical_Significance\"><\/span>What P Value Determines Statistical Significance?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>In the field of statistics, the p-value is a fundamental concept that helps researchers determine the significance of their findings. The p-value represents the probability of obtaining results as extreme as the observed data, assuming the null hypothesis is true. The null hypothesis typically posits that there is no significant difference or relationship between variables. <\/p>\n<p>To determine statistical significance, researchers compare the obtained p-value against a predetermined significance level, denoted as \u03b1. The significance level represents the acceptable probability of making a Type I error, which is rejecting the null hypothesis when it is actually true. Commonly used significance levels include 0.05 (5%) and 0.01 (1%). <\/p>\n<p>**The p-value that determines statistical significance is any p-value that is less than or equal to the chosen significance level (\u03b1).** This means that if the obtained p-value is smaller than \u03b1, researchers can reject the null hypothesis and conclude that their findings are statistically significant.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"FAQs\"><\/span>FAQs:<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h3><span class=\"ez-toc-section\" id=\"1_What_is_a_p-value\"><\/span>1. 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 and represents the probability of observing results as extreme as the data when the null hypothesis is true.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"2_How_is_the_p-value_calculated\"><\/span>2. How is the p-value calculated?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe calculation of the p-value depends on the statistical test being used. However, it generally involves determining the probability of obtaining results as extreme or more extreme than the observed data, assuming the null hypothesis is true.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"3_What_does_a_p-value_of_005_mean\"><\/span>3. What does a p-value of 0.05 mean?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA p-value of 0.05 means that there is a 5% chance of obtaining results as extreme as the observed data, assuming the null hypothesis is true. It is a commonly used significance level to determine statistical significance.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"4_Does_a_smaller_p-value_indicate_stronger_evidence_against_the_null_hypothesis\"><\/span>4. Does a smaller p-value indicate stronger evidence against the null hypothesis?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nYes, a smaller p-value indicates stronger evidence against the null hypothesis. A p-value below the chosen significance level suggests stronger evidence against the null hypothesis and supports the alternative hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"5_What_does_a_p-value_of_1_mean\"><\/span>5. What does a p-value of 1 mean?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA p-value of 1 means that there is a 100% chance of obtaining results as extreme as the observed data, assuming the null hypothesis is true. This indicates no evidence against the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"6_Can_a_p-value_be_negative\"><\/span>6. Can a p-value be negative?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, a p-value cannot be negative. The p-value represents a probability, and probabilities range from 0 to 1.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"7_Can_a_p-value_exceed_1\"><\/span>7. Can a p-value exceed 1?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, a p-value cannot exceed 1. It represents a probability, and probabilities cannot exceed 1.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"8_Can_a_p-value_be_0\"><\/span>8. Can a p-value be 0?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nIn most cases, a p-value of exactly 0 is not obtained. However, very small p-values (e.g., 0.0001) effectively represent extreme evidence against the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"9_Does_a_p-value_determine_the_effect_size\"><\/span>9. Does a p-value determine the effect size?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, a p-value does not determine the effect size. The p-value assesses the evidence against the null hypothesis, while the effect size measures the magnitude of the difference between groups or variables.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"10_Can_a_study_be_statistically_significant_but_have_a_small_effect_size\"><\/span>10. Can a study be statistically significant but have a small effect size?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nYes, a study can be statistically significant while having a small effect size. Statistical significance indicates that the observed difference or relationship is unlikely to be due to chance, but the effect size measures the practical significance or impact of the finding.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"11_What_happens_if_the_p-value_is_greater_than_the_significance_level\"><\/span>11. What happens 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 the chosen significance level (\u03b1), researchers fail to reject the null hypothesis and cannot claim statistical significance. It suggests that the observed data is likely to occur by chance.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"12_Is_statistical_significance_the_same_as_practical_significance\"><\/span>12. Is statistical significance the same as practical significance?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, statistical significance and practical significance are different concepts. Statistical significance relates to the likelihood of observing the data, assuming the null hypothesis, while practical significance measures the real-world importance or usefulness of the results.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What P Value Determines Statistical Significance? In the field of statistics, the p-value is a fundamental concept that helps researchers determine the significance of their findings. The p-value represents the probability of obtaining results as extreme as the observed data, assuming the null hypothesis is true. The null hypothesis typically posits that there is no &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"What P value determines statistical significance?\" class=\"read-more button\" href=\"https:\/\/namso-gen.co\/blog\/what-p-value-determines-statistical-significance\/#more-216240\">Read more<span class=\"screen-reader-text\">What P value determines statistical significance?<\/span><\/a><\/p>\n","protected":false},"author":54,"featured_media":107420,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[86279],"tags":[],"class_list":["post-216240","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 P value determines statistical significance?<\/title>\n<meta name=\"description\" content=\"What P Value Determines Statistical Significance? 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