{"id":228992,"date":"2024-06-04T18:17:54","date_gmt":"2024-06-04T18:17:54","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/?p=228992"},"modified":"2024-06-04T18:17:54","modified_gmt":"2024-06-04T18:17:54","slug":"what-does-it-mean-when-the-p-value-is-significant","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/what-does-it-mean-when-the-p-value-is-significant\/","title":{"rendered":"What does it mean when the p-value is significant?"},"content":{"rendered":"<p>Statistical significance is a crucial concept in scientific research that helps determine whether the observed results of a study are likely due to chance or factors that are actually meaningful. One of the most common ways to assess statistical significance is by calculating the p-value, which measures the strength of evidence against the null hypothesis. But what exactly does it mean when the p-value is significant?<\/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-does-it-mean-when-the-p-value-is-significant\/#Understanding_p-values\" title=\"Understanding p-values\">Understanding p-values<\/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-does-it-mean-when-the-p-value-is-significant\/#The_meaning_of_statistical_significance\" title=\"The meaning of statistical significance\">The meaning of statistical significance<\/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-does-it-mean-when-the-p-value-is-significant\/#Frequently_asked_questions_about_p-values_and_their_answers\" title=\"Frequently asked questions about p-values and their answers\">Frequently asked questions about p-values and their answers<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/namso-gen.co\/blog\/what-does-it-mean-when-the-p-value-is-significant\/#1_What_is_the_null_hypothesis\" title=\"1. What is the null hypothesis?\">1. What is the null hypothesis?<\/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-it-mean-when-the-p-value-is-significant\/#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-6\" href=\"https:\/\/namso-gen.co\/blog\/what-does-it-mean-when-the-p-value-is-significant\/#3_Is_statistical_significance_the_same_as_practical_significance\" title=\"3. Is statistical significance the same as practical significance?\">3. Is statistical significance the same as practical significance?<\/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-it-mean-when-the-p-value-is-significant\/#4_What_does_it_mean_if_the_p-value_is_not_significant\" title=\"4. What does it mean if the p-value is not significant?\">4. What does it mean if the p-value is not significant?<\/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-it-mean-when-the-p-value-is-significant\/#5_Can_a_non-significant_p-value_prove_the_null_hypothesis\" title=\"5. Can a non-significant p-value prove the null hypothesis?\">5. Can a non-significant p-value prove the null hypothesis?<\/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-it-mean-when-the-p-value-is-significant\/#6_What_factors_can_influence_the_p-value\" title=\"6. What factors can influence the p-value?\">6. What factors can influence the p-value?<\/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-it-mean-when-the-p-value-is-significant\/#7_Are_small_p-values_always_better\" title=\"7. Are small p-values always better?\">7. Are small p-values always better?<\/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-it-mean-when-the-p-value-is-significant\/#8_Can_p-values_be_used_to_compare_different_studies\" title=\"8. Can p-values be used to compare different studies?\">8. Can p-values be used to compare different studies?<\/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-it-mean-when-the-p-value-is-significant\/#9_Can_p-values_be_used_alone_to_make_conclusions\" title=\"9. Can p-values be used alone to make conclusions?\">9. Can p-values be used alone to make conclusions?<\/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-does-it-mean-when-the-p-value-is-significant\/#10_Is_a_significant_p-value_always_reliable\" title=\"10. Is a significant p-value always reliable?\">10. Is a significant p-value always reliable?<\/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-does-it-mean-when-the-p-value-is-significant\/#11_Can_different_significance_levels_be_used\" title=\"11. Can different significance levels be used?\">11. Can different significance levels be used?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/namso-gen.co\/blog\/what-does-it-mean-when-the-p-value-is-significant\/#12_Is_statistical_significance_the_same_as_certainty\" title=\"12. Is statistical significance the same as certainty?\">12. Is statistical significance the same as certainty?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Understanding_p-values\"><\/span>Understanding p-values<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Before delving into the significance of p-values, let&#8217;s quickly recap what they represent. In statistical hypothesis testing, researchers start by formulating a null hypothesis, which assumes that there is no significant difference or relationship between variables. Then, they collect data and perform a statistical test to evaluate the evidence against the null hypothesis.<\/p>\n<p>The p-value quantifies the probability of obtaining results as extreme as the observed data, assuming the null hypothesis is true. In simpler terms, it indicates the likelihood of the observed results being a random occurrence. If the p-value is small (typically below a predetermined threshold of significance, often 0.05), it suggests that the results are unlikely to be due to chance alone.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"The_meaning_of_statistical_significance\"><\/span>The meaning of statistical significance<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><b>When the p-value is significant, it means that there is convincing evidence to reject the null hypothesis and accept an alternative explanation.<\/b> In other words, the p-value supports the idea that the observed data is not just a product of random chance but is actually influenced by a real effect or relationship.<\/p>\n<p>It&#8217;s important to note that statistical significance does not imply practical or real-world significance. A small p-value indicates statistical evidence, but researchers must also evaluate the magnitude and meaningfulness of the effect or relationship. Nonetheless, statistical significance is an essential first step in establishing the credibility of research findings.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Frequently_asked_questions_about_p-values_and_their_answers\"><\/span>Frequently asked questions about p-values and their answers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"1_What_is_the_null_hypothesis\"><\/span>1. What is the null hypothesis?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe null hypothesis is a statement that assumes no significant difference or relationship between variables in a study.<\/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 p-value is calculated by determining the probability of obtaining results as extreme as the observed data, assuming the null hypothesis is true. The specific calculation depends on the statistical test used.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"3_Is_statistical_significance_the_same_as_practical_significance\"><\/span>3. 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 distinct concepts. Statistical significance indicates the likelihood of results being due to chance alone, while practical significance refers to the real-life importance or magnitude of the observed effect or relationship.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"4_What_does_it_mean_if_the_p-value_is_not_significant\"><\/span>4. What does it mean if the p-value is not significant?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nIf the p-value is not significant, it suggests that the results can likely be attributed to random chance alone. In such cases, it is generally not appropriate to reject the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"5_Can_a_non-significant_p-value_prove_the_null_hypothesis\"><\/span>5. Can a non-significant p-value prove the null hypothesis?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, a non-significant p-value does not prove the null hypothesis. It simply indicates insufficient evidence to reject the null hypothesis. There may still be other factors at play that were not adequately captured in the study.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"6_What_factors_can_influence_the_p-value\"><\/span>6. What factors can influence the p-value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe p-value can be influenced by various factors, such as the sample size, the chosen significance level, the type of statistical test, and assumptions made about the data.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"7_Are_small_p-values_always_better\"><\/span>7. Are small p-values always better?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nSmall p-values indicate stronger evidence against the null hypothesis, but they do not necessarily imply more substantial or meaningful effects. The interpretation of p-values should consider the context and the specific research question.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"8_Can_p-values_be_used_to_compare_different_studies\"><\/span>8. Can p-values be used to compare different studies?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nWhile p-values provide a measure of statistical evidence within a specific study, comparing p-values across different studies is not always meaningful. It is crucial to consider the study design, sample characteristics, and research context when making such comparisons.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"9_Can_p-values_be_used_alone_to_make_conclusions\"><\/span>9. Can p-values be used alone to make conclusions?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, p-values should not be used in isolation to draw conclusions. They provide a level of statistical evidence but must be combined with other information, such as effect sizes, confidence intervals, and practical considerations.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"10_Is_a_significant_p-value_always_reliable\"><\/span>10. Is a significant p-value always reliable?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA significant p-value suggests strong evidence against the null hypothesis. However, the reliability of the findings also depends on other factors, including the study design, methodology, and potential biases.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"11_Can_different_significance_levels_be_used\"><\/span>11. Can different significance levels be used?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nYes, different significance levels can be used depending on the research field and the required confidence in rejecting the null hypothesis. The most common significance level is 0.05, but others, such as 0.01 or 0.10, may be appropriate in certain cases.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"12_Is_statistical_significance_the_same_as_certainty\"><\/span>12. Is statistical significance the same as certainty?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, statistical significance does not indicate certainty. It merely indicates the strength of evidence against the null hypothesis. While small p-values suggest strong evidence, there is still a possibility of error or other unaccounted factors.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Statistical significance is a crucial concept in scientific research that helps determine whether the observed results of a study are likely due to chance or factors that are actually meaningful. One of the most common ways to assess statistical significance is by calculating the p-value, which measures the strength of evidence against the null hypothesis. &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"What does it mean when the p-value is significant?\" class=\"read-more button\" href=\"https:\/\/namso-gen.co\/blog\/what-does-it-mean-when-the-p-value-is-significant\/#more-228992\">Read more<span class=\"screen-reader-text\">What does it mean when the p-value is significant?<\/span><\/a><\/p>\n","protected":false},"author":57,"featured_media":107420,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[86279],"tags":[],"class_list":["post-228992","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 it mean when the p-value is significant?<\/title>\n<meta name=\"description\" content=\"Statistical significance is a crucial concept in scientific research that helps determine whether the observed results of a study are likely due to chance\" \/>\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-it-mean-when-the-p-value-is-significant\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What does it mean when the p-value is significant?\" \/>\n<meta property=\"og:description\" content=\"Statistical significance is a crucial concept in scientific research that helps determine whether the observed results of a study are likely due to chance\" \/>\n<meta property=\"og:url\" content=\"https:\/\/namso-gen.co\/blog\/what-does-it-mean-when-the-p-value-is-significant\/\" \/>\n<meta property=\"og:site_name\" content=\"Namso Gen Blog - 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