{"id":255614,"date":"2024-06-15T14:18:49","date_gmt":"2024-06-15T14:18:49","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/?p=255614"},"modified":"2024-06-15T14:18:49","modified_gmt":"2024-06-15T14:18:49","slug":"what-is-a-statistically-significant-p-value","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/what-is-a-statistically-significant-p-value\/","title":{"rendered":"What is a statistically significant p value?"},"content":{"rendered":"<p>A statistically significant p value is a measure of the strength of evidence against the null hypothesis in a statistical hypothesis test. It indicates the probability of obtaining the observed results, or more extreme results, if the null hypothesis were true.<\/p>\n<p>**<\/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-is-a-statistically-significant-p-value\/#The_p_value_measures_the_strength_of_evidence_against_the_null_hypothesis\" title=\"The p value measures the strength of evidence against the null hypothesis.\">The p value measures the strength of 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-2\" href=\"https:\/\/namso-gen.co\/blog\/what-is-a-statistically-significant-p-value\/#Frequently_Asked_Questions\" title=\"Frequently Asked Questions:\">Frequently Asked Questions:<\/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-is-a-statistically-significant-p-value\/#1_What_does_a_p_value_of_005_mean\" title=\"1. What does a p value of 0.05 mean?\">1. 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-4\" href=\"https:\/\/namso-gen.co\/blog\/what-is-a-statistically-significant-p-value\/#2_What_does_it_mean_if_the_p_value_is_less_than_005\" title=\"2. What does it mean if the p value is less than 0.05?\">2. What does it mean if the p value is less than 0.05?<\/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-is-a-statistically-significant-p-value\/#3_Can_a_p_value_be_greater_than_1\" title=\"3. Can a p value be greater than 1?\">3. Can a 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-6\" href=\"https:\/\/namso-gen.co\/blog\/what-is-a-statistically-significant-p-value\/#4_How_do_you_interpret_a_p_value\" title=\"4. How do you interpret a p value?\">4. How do you interpret a 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-is-a-statistically-significant-p-value\/#5_Is_a_smaller_p_value_always_better\" title=\"5. Is a smaller p value always better?\">5. Is a smaller 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-8\" href=\"https:\/\/namso-gen.co\/blog\/what-is-a-statistically-significant-p-value\/#6_What_factors_can_influence_the_value_of_p\" title=\"6. What factors can influence the value of p?\">6. What factors can influence the value of p?<\/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-is-a-statistically-significant-p-value\/#7_Can_a_p_value_be_0\" title=\"7. Can a p value be 0?\">7. 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-10\" href=\"https:\/\/namso-gen.co\/blog\/what-is-a-statistically-significant-p-value\/#8_What_is_the_relationship_between_p_value_and_confidence_level\" title=\"8. What is the relationship between p value and confidence level?\">8. What is the relationship between p value and confidence level?<\/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-is-a-statistically-significant-p-value\/#9_Why_is_the_threshold_for_statistical_significance_typically_set_at_005\" title=\"9. Why is the threshold for statistical significance typically set at 0.05?\">9. Why is the threshold for statistical significance typically set at 0.05?<\/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-is-a-statistically-significant-p-value\/#10_Can_p_value_determine_the_importance_of_a_finding\" title=\"10. Can p value determine the importance of a finding?\">10. Can p value determine the importance of a finding?<\/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-is-a-statistically-significant-p-value\/#11_Can_two_studies_with_the_same_p_value_have_equal_scientific_merit\" title=\"11. Can two studies with the same p value have equal scientific merit?\">11. Can two studies with the same p value have equal scientific merit?<\/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-is-a-statistically-significant-p-value\/#12_Can_p_value_alone_provide_conclusive_proof\" title=\"12. Can p value alone provide conclusive proof?\">12. Can p value alone provide conclusive proof?<\/a><\/li><\/ul><\/nav><\/div>\n<h3><span class=\"ez-toc-section\" id=\"The_p_value_measures_the_strength_of_evidence_against_the_null_hypothesis\"><\/span>The p value measures the strength of evidence against the null hypothesis.<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>**<\/p>\n<p>When conducting statistical analyses, researchers formulate a null hypothesis, which represents the absence of an effect or relationship. The alternative hypothesis, on the other hand, suggests the presence of such an effect or relationship. To determine whether there is sufficient evidence to reject the null hypothesis, a p value is calculated based on the observed data. If the p value is smaller than a predetermined threshold, typically 0.05, it is considered statistically significant. This means that the observed results are unlikely to have occurred by chance if the null hypothesis were true.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions\"><\/span>Frequently Asked Questions:<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>**<\/p>\n<h3><span class=\"ez-toc-section\" id=\"1_What_does_a_p_value_of_005_mean\"><\/span>1. What does a p value of 0.05 mean?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>**<\/p>\n<p>A p value of 0.05 indicates a 5% chance of obtaining the observed results or more extreme results if the null hypothesis were true. In other words, there is a 5% probability of falsely rejecting the null hypothesis due to random variation.<\/p>\n<p>**<\/p>\n<h3><span class=\"ez-toc-section\" id=\"2_What_does_it_mean_if_the_p_value_is_less_than_005\"><\/span>2. What does it mean if the p value is less than 0.05?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>**<\/p>\n<p>If the p value is less than 0.05, it suggests that the observed results are unlikely to have occurred due to random chance alone. This provides evidence in favor of the alternative hypothesis and suggests a statistically significant finding.<\/p>\n<p>**<\/p>\n<h3><span class=\"ez-toc-section\" id=\"3_Can_a_p_value_be_greater_than_1\"><\/span>3. Can a p value be greater than 1?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>**<\/p>\n<p>No, a p value cannot be greater than 1. It represents a probability, which inherently ranges from 0 to 1. A p value larger than 1 would imply a probability greater than 100%, which is not possible.<\/p>\n<p>**<\/p>\n<h3><span class=\"ez-toc-section\" id=\"4_How_do_you_interpret_a_p_value\"><\/span>4. How do you interpret a p value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>**<\/p>\n<p>The interpretation of a p value depends on the predetermined level of significance and the context of the study. If the p value is smaller than the chosen significance level (e.g., 0.05), it suggests there is strong evidence against the null hypothesis. However, a larger p value does not necessarily indicate that the null hypothesis is true; it simply suggests that there is not enough evidence to reject it.<\/p>\n<p>**<\/p>\n<h3><span class=\"ez-toc-section\" id=\"5_Is_a_smaller_p_value_always_better\"><\/span>5. Is a smaller p value always better?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>**<\/p>\n<p>A smaller p value does not necessarily imply the importance or practical significance of the results. While a p value less than 0.05 is often considered statistically significant, it is crucial to consider effect size, sample size, and the context of the study to assess the practical importance of the findings.<\/p>\n<p>**<\/p>\n<h3><span class=\"ez-toc-section\" id=\"6_What_factors_can_influence_the_value_of_p\"><\/span>6. What factors can influence the value of p?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>**<\/p>\n<p>The value of p can be influenced by various factors, including the size of the effect, sample size, variability of the data, and the chosen statistical test. A larger effect size or sample size generally leads to a smaller p value.<\/p>\n<p>**<\/p>\n<h3><span class=\"ez-toc-section\" id=\"7_Can_a_p_value_be_0\"><\/span>7. Can a p value be 0?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>**<\/p>\n<p>No, a p value cannot be exactly 0. However, it can be extremely small, close to 0, indicating strong evidence against the null hypothesis.<\/p>\n<p>**<\/p>\n<h3><span class=\"ez-toc-section\" id=\"8_What_is_the_relationship_between_p_value_and_confidence_level\"><\/span>8. What is the relationship between p value and confidence level?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>**<\/p>\n<p>The relationship between p value and confidence level is inverse. A p value of 0.05 corresponds to a 95% confidence level, meaning there is a 95% chance that the observed results are not due to random chance alone.<\/p>\n<p>**<\/p>\n<h3><span class=\"ez-toc-section\" id=\"9_Why_is_the_threshold_for_statistical_significance_typically_set_at_005\"><\/span>9. Why is the threshold for statistical significance typically set at 0.05?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>**<\/p>\n<p>The threshold of 0.05 is a conventional choice for statistical significance. It strikes a balance between reducing the likelihood of type I errors (false positives) and maintaining a reasonable level of statistical power. However, the significance level chosen may vary depending on the field or study.<\/p>\n<p>**<\/p>\n<h3><span class=\"ez-toc-section\" id=\"10_Can_p_value_determine_the_importance_of_a_finding\"><\/span>10. Can p value determine the importance of a finding?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>**<\/p>\n<p>No, the p value cannot determine the importance of a finding. It only assesses the statistical evidence against the null hypothesis. The practical importance or relevance must be evaluated considering other factors, such as effect size, context, and prior knowledge.<\/p>\n<p>**<\/p>\n<h3><span class=\"ez-toc-section\" id=\"11_Can_two_studies_with_the_same_p_value_have_equal_scientific_merit\"><\/span>11. Can two studies with the same p value have equal scientific merit?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>**<\/p>\n<p>Two studies with the same p value can have different scientific merit. The scientific merit depends on various factors beyond the p value, such as research design, sample size, data quality, and the presence of alternative explanations.<\/p>\n<p>**<\/p>\n<h3><span class=\"ez-toc-section\" id=\"12_Can_p_value_alone_provide_conclusive_proof\"><\/span>12. Can p value alone provide conclusive proof?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>**<\/p>\n<p>No, a p value alone cannot provide conclusive proof. It is just one piece of evidence in statistical inference. Conclusive proof typically requires replication, consideration of effect size, confidence intervals, and other relevant factors.<\/p>\n<p>In conclusion, a statistically significant p value indicates that the observed results are unlikely to have occurred by chance alone if the null hypothesis is true. However, it is important to interpret the p value in conjunction with other factors and consider its limitations when making inferential conclusions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A statistically significant p value is a measure of the strength of evidence against the null hypothesis in a statistical hypothesis test. It indicates the probability of obtaining the observed results, or more extreme results, if the null hypothesis were true. ** The p value measures the strength of evidence against the null hypothesis. ** &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"What is a statistically significant p value?\" class=\"read-more button\" href=\"https:\/\/namso-gen.co\/blog\/what-is-a-statistically-significant-p-value\/#more-255614\">Read more<span class=\"screen-reader-text\">What is a statistically significant p value?<\/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-255614","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 is a statistically significant p value?<\/title>\n<meta name=\"description\" content=\"A statistically significant p value is a measure of the strength of evidence against the null hypothesis in a statistical hypothesis test. 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