{"id":260821,"date":"2024-04-11T20:55:49","date_gmt":"2024-04-11T20:55:49","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/?p=260821"},"modified":"2024-04-11T20:55:49","modified_gmt":"2024-04-11T20:55:49","slug":"does-a-low-p-value-make-it-likely","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/does-a-low-p-value-make-it-likely\/","title":{"rendered":"Does a low p-value make it likely?"},"content":{"rendered":"<p>The concept of p-value is widely used in statistical hypothesis testing to determine the likelihood of obtaining results as extreme as the ones observed, assuming that the null hypothesis is true. A low p-value is generally interpreted as evidence against the null hypothesis and, therefore, as evidence in favor of the alternative hypothesis. However, it is crucial to understand that a low p-value does not necessarily mean that an effect or relationship is practically or substantively important. Let&#8217;s delve into this topic further.<\/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\/does-a-low-p-value-make-it-likely\/#Does_a_low_p-value_make_it_likely\" title=\"**Does a low p-value make it likely?**\">**Does a low p-value make it likely?**<\/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\/does-a-low-p-value-make-it-likely\/#Frequently_Asked_Questions\" title=\"Frequently Asked Questions\">Frequently Asked Questions<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/namso-gen.co\/blog\/does-a-low-p-value-make-it-likely\/#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\/does-a-low-p-value-make-it-likely\/#2_What_does_a_high_p-value_mean\" title=\"2. What does a high p-value mean?\">2. What does a high p-value mean?<\/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\/does-a-low-p-value-make-it-likely\/#3_Can_a_low_p-value_always_be_trusted\" title=\"3. Can a low p-value always be trusted?\">3. Can a low p-value always be trusted?<\/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\/does-a-low-p-value-make-it-likely\/#4_How_is_p-value_related_to_effect_size\" title=\"4. How is p-value related to effect size?\">4. How is p-value related to effect size?<\/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\/does-a-low-p-value-make-it-likely\/#5_Is_a_low_p-value_enough_to_claim_causation\" title=\"5. Is a low p-value enough to claim causation?\">5. Is a low p-value enough to claim causation?<\/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\/does-a-low-p-value-make-it-likely\/#6_Are_p-values_affected_by_sample_size\" title=\"6. Are p-values affected by sample size?\">6. Are p-values affected by sample size?<\/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\/does-a-low-p-value-make-it-likely\/#7_Can_a_high_p-value_be_interpreted_as_evidence_of_no_effect\" title=\"7. Can a high p-value be interpreted as evidence of no effect?\">7. Can a high p-value be interpreted as evidence of no effect?<\/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\/does-a-low-p-value-make-it-likely\/#8_How_do_confidence_intervals_complement_p-values\" title=\"8. How do confidence intervals complement p-values?\">8. How do confidence intervals complement p-values?<\/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\/does-a-low-p-value-make-it-likely\/#9_Are_all_p-values_below_005_significant\" title=\"9. Are all p-values below 0.05 significant?\">9. Are all p-values below 0.05 significant?<\/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\/does-a-low-p-value-make-it-likely\/#10_Is_it_possible_to_have_a_statistically_significant_result_with_a_high_p-value\" title=\"10. Is it possible to have a statistically significant result with a high p-value?\">10. Is it possible to have a statistically significant result with a high p-value?<\/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\/does-a-low-p-value-make-it-likely\/#11_Can_p-values_be_used_to_compare_the_magnitude_of_effects\" title=\"11. Can p-values be used to compare the magnitude of effects?\">11. Can p-values be used to compare the magnitude of effects?<\/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\/does-a-low-p-value-make-it-likely\/#12_Is_there_an_alternative_to_using_p-values\" title=\"12. Is there an alternative to using p-values?\">12. Is there an alternative to using p-values?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Does_a_low_p-value_make_it_likely\"><\/span>**Does a low p-value make it likely?**<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>**No, contrary to what might be assumed, a low p-value does not make it likely that the observed effect or relationship is practically important or significant.** The p-value only measures the probability of obtaining results similar to or more extreme than the ones observed, assuming the null hypothesis is true. It does not provide information about the magnitude or practical relevance of the effect or relationship being tested.<\/p>\n<p>For example, consider a study that investigates the effect of a new drug on a certain disease. If the p-value is extremely small (e.g., p < 0.001), it indicates a low probability of observing the data if the drug had no effect. However, it does not necessarily mean that the drug's effect is large enough to have a meaningful impact on patients' well-being or that it is practically meaningful in a clinical setting. The p-value only helps to infer whether the results are beyond what is expected by chance.<\/p>\n<p>It is essential to consider effect size, confidence intervals, and practical significance alongside p-values to make informed interpretations of research findings.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions\"><\/span>Frequently Asked Questions<span class=\"ez-toc-section-end\"><\/span><\/h2>\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>A p-value is a statistical measure that quantifies the probability of obtaining results at least as extreme as the observed results when assuming the null hypothesis is true.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"2_What_does_a_high_p-value_mean\"><\/span>2. What does a high p-value mean?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>A high p-value (> 0.05) suggests that the observed results are likely to occur by chance and therefore do not provide significant evidence against the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"3_Can_a_low_p-value_always_be_trusted\"><\/span>3. Can a low p-value always be trusted?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>No, a low p-value might indicate that the obtained results are unlikely under the null hypothesis, but it does not guarantee practical or substantive significance.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"4_How_is_p-value_related_to_effect_size\"><\/span>4. How is p-value related to effect size?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>P-value and effect size are distinct measures. Effect size captures the magnitude of an effect, while the p-value assesses the likelihood of observing such an effect assuming the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"5_Is_a_low_p-value_enough_to_claim_causation\"><\/span>5. Is a low p-value enough to claim causation?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>No, a low p-value alone is insufficient to establish causation. It may suggest a strong association, but causation requires additional evidence, study design, and external validation.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"6_Are_p-values_affected_by_sample_size\"><\/span>6. Are p-values affected by sample size?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Yes, larger sample sizes generally lead to lower p-values because they provide more precise estimates and reduce the variability of the data.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"7_Can_a_high_p-value_be_interpreted_as_evidence_of_no_effect\"><\/span>7. Can a high p-value be interpreted as evidence of no effect?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>No, a high p-value does not provide conclusive evidence of the absence of an effect. It only suggests that the observed data are likely to occur by chance under the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"8_How_do_confidence_intervals_complement_p-values\"><\/span>8. How do confidence intervals complement p-values?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Confidence intervals provide a range of values within which the true population parameter is likely to lie. If the confidence interval includes both negligible and substantial effects, it suggests that the p-value alone may not tell the whole story.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"9_Are_all_p-values_below_005_significant\"><\/span>9. Are all p-values below 0.05 significant?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>A p-value below 0.05 is often considered statistically significant, but it is crucial to assess effect sizes and consider context when interpreting significance.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"10_Is_it_possible_to_have_a_statistically_significant_result_with_a_high_p-value\"><\/span>10. Is it possible to have a statistically significant result with a high p-value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>No, a p-value exceeding the predetermined significance level (e.g., 0.05) is considered nonsignificant, indicating that the observed results are likely to occur due to chance.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"11_Can_p-values_be_used_to_compare_the_magnitude_of_effects\"><\/span>11. Can p-values be used to compare the magnitude of effects?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>No, p-values only assess the likelihood of observing the results assuming the null hypothesis, and they do not directly quantify or compare the magnitude of effects.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"12_Is_there_an_alternative_to_using_p-values\"><\/span>12. Is there an alternative to using p-values?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Yes, alternative approaches such as confidence intervals, effect sizes, and Bayesian statistics provide valuable complementary information to aid researchers in drawing reliable conclusions.<\/p>\n<p>In conclusion, while a low p-value provides evidence against the null hypothesis, it does not, by itself, make an effect or relationship practically important. Researchers and readers should consider effect size, confidence intervals, and contextual factors to make well-informed interpretations of statistical results.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The concept of p-value is widely used in statistical hypothesis testing to determine the likelihood of obtaining results as extreme as the ones observed, assuming that the null hypothesis is true. A low p-value is generally interpreted as evidence against the null hypothesis and, therefore, as evidence in favor of the alternative hypothesis. However, it &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"Does a low p-value make it likely?\" class=\"read-more button\" href=\"https:\/\/namso-gen.co\/blog\/does-a-low-p-value-make-it-likely\/#more-260821\">Read more<span class=\"screen-reader-text\">Does a low p-value make it likely?<\/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-260821","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>Does a low p-value make it likely?<\/title>\n<meta name=\"description\" content=\"The concept of p-value is widely used in statistical hypothesis testing to determine the likelihood of obtaining results as extreme as the ones observed,\" \/>\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\/does-a-low-p-value-make-it-likely\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Does a low p-value make it likely?\" \/>\n<meta property=\"og:description\" content=\"The concept of p-value is widely used in statistical hypothesis testing to determine the likelihood of obtaining results as extreme as the ones observed,\" \/>\n<meta property=\"og:url\" content=\"https:\/\/namso-gen.co\/blog\/does-a-low-p-value-make-it-likely\/\" \/>\n<meta property=\"og:site_name\" content=\"Namso Gen Blog - 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