{"id":235906,"date":"2024-06-07T08:48:48","date_gmt":"2024-06-07T08:48:48","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/?p=235906"},"modified":"2024-06-07T08:48:48","modified_gmt":"2024-06-07T08:48:48","slug":"how-to-derive-p-value","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/how-to-derive-p-value\/","title":{"rendered":"How to derive p value?"},"content":{"rendered":"<p>Deriving a p-value is an essential step in hypothesis testing to determine the significance of your results. The p-value is the probability of obtaining results as extreme as the ones observed, assuming the null hypothesis is true.<\/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\/how-to-derive-p-value\/#What_is_a_Null_Hypothesis\" title=\"What is a Null Hypothesis?\">What is a 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\/how-to-derive-p-value\/#What_is_an_Alternative_Hypothesis\" title=\"What is an Alternative Hypothesis?\">What is an Alternative Hypothesis?<\/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\/how-to-derive-p-value\/#Why_is_the_p-value_Important\" title=\"Why is the p-value Important?\">Why is the p-value Important?<\/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\/how-to-derive-p-value\/#What_Does_a_p-value_of_005_Mean\" title=\"What Does a p-value of 0.05 Mean?\">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-5\" href=\"https:\/\/namso-gen.co\/blog\/how-to-derive-p-value\/#How_is_the_p-value_Calculated\" title=\"How is the p-value Calculated?\">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\/how-to-derive-p-value\/#What_are_Type_I_and_Type_II_Errors\" title=\"What are Type I and Type II Errors?\">What are Type I and Type II Errors?<\/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\/how-to-derive-p-value\/#When_Should_I_Reject_the_Null_Hypothesis\" title=\"When Should I Reject the Null Hypothesis?\">When Should I Reject the Null Hypothesis?<\/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\/how-to-derive-p-value\/#What_Does_a_High_p-value_Indicate\" title=\"What Does a High p-value Indicate?\">What Does a High p-value Indicate?<\/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\/how-to-derive-p-value\/#Can_the_p-value_Be_Used_to_Prove_Causation\" title=\"Can the p-value Be Used to Prove Causation?\">Can the p-value Be Used to Prove Causation?<\/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\/how-to-derive-p-value\/#What_Factors_Can_Influence_the_p-value\" title=\"What Factors Can Influence the p-value?\">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-11\" href=\"https:\/\/namso-gen.co\/blog\/how-to-derive-p-value\/#Is_a_Smaller_p-value_Always_Better\" title=\"Is a Smaller p-value Always Better?\">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-12\" href=\"https:\/\/namso-gen.co\/blog\/how-to-derive-p-value\/#How_Can_I_Improve_My_Understanding_of_p-values\" title=\"How Can I Improve My Understanding of p-values?\">How Can I Improve My Understanding of p-values?<\/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\/how-to-derive-p-value\/#Can_a_p-value_Change_Over_Time\" title=\"Can a p-value Change Over Time?\">Can a p-value Change Over Time?<\/a><\/li><\/ul><\/nav><\/div>\n<h3><span class=\"ez-toc-section\" id=\"What_is_a_Null_Hypothesis\"><\/span>What is a Null Hypothesis?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA null hypothesis is a statement that there is no significant difference or effect. It serves as a basis for comparison with the alternative hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"What_is_an_Alternative_Hypothesis\"><\/span>What is an Alternative Hypothesis?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nAn alternative hypothesis is a statement that there is a significant difference or effect. It is often what researchers hope to prove true.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Why_is_the_p-value_Important\"><\/span>Why is the p-value Important?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe p-value helps determine the strength of evidence against the null hypothesis. A low p-value (typically \u2264 0.05) indicates strong evidence to reject the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"What_Does_a_p-value_of_005_Mean\"><\/span>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 or more extreme than the ones observed, assuming the null hypothesis is true. This is a commonly used threshold for statistical significance.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"How_is_the_p-value_Calculated\"><\/span>How is the p-value Calculated?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe p-value is calculated based on the specific test being conducted. Common methods include z-tests, t-tests, chi-square tests, and ANOVA tests.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"What_are_Type_I_and_Type_II_Errors\"><\/span>What are Type I and Type II Errors?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nType I error occurs when the null hypothesis is incorrectly rejected, while Type II error occurs when the null hypothesis is incorrectly accepted. The p-value helps minimize the risk of these errors.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"When_Should_I_Reject_the_Null_Hypothesis\"><\/span>When Should I Reject the Null Hypothesis?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nYou should reject the null hypothesis when the p-value is less than or equal to your chosen significance level (often 0.05). This indicates that the results are statistically significant.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"What_Does_a_High_p-value_Indicate\"><\/span>What Does a High p-value Indicate?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA high p-value (typically > 0.05) suggests that there is no strong evidence against the null hypothesis. It does not necessarily prove the null hypothesis true, but rather indicates lack of evidence to reject it.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Can_the_p-value_Be_Used_to_Prove_Causation\"><\/span>Can the p-value Be Used to Prove Causation?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, the p-value alone cannot prove causation. It can only provide evidence of the likelihood that the results are due to chance or a real effect.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"What_Factors_Can_Influence_the_p-value\"><\/span>What Factors Can Influence the p-value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nSample size, effect size, variability of data, and chosen significance level can all influence the p-value. Larger sample sizes and stronger effects tend to result in lower p-values.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Is_a_Smaller_p-value_Always_Better\"><\/span>Is a Smaller p-value Always Better?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNot necessarily. While a smaller p-value typically indicates stronger evidence against the null hypothesis, the interpretation should also consider the practical significance of the results.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"How_Can_I_Improve_My_Understanding_of_p-values\"><\/span>How Can I Improve My Understanding of p-values?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nEngaging in statistical training, consulting with experts, and practicing data analysis can help improve your understanding of p-values and their interpretation in research.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Can_a_p-value_Change_Over_Time\"><\/span>Can a p-value Change Over Time?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nYes, if new data is collected or if the analysis is refined, the p-value may change. It is important to consider the context and limitations of the data when interpreting p-values.<\/p>\n<p>In conclusion, deriving a p-value involves calculating the probability of obtaining results as extreme as the ones observed, assuming the null hypothesis is true. Understanding p-values and their significance is crucial for making informed decisions in research and data analysis.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Deriving a p-value is an essential step in hypothesis testing to determine the significance of your results. The p-value is the probability of obtaining results as extreme as the ones observed, assuming the null hypothesis is true. What is a Null Hypothesis? A null hypothesis is a statement that there is no significant difference or &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"How to derive p value?\" class=\"read-more button\" href=\"https:\/\/namso-gen.co\/blog\/how-to-derive-p-value\/#more-235906\">Read more<span class=\"screen-reader-text\">How to derive p value?<\/span><\/a><\/p>\n","protected":false},"author":59,"featured_media":107420,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[86279],"tags":[],"class_list":["post-235906","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>How to derive p value?<\/title>\n<meta name=\"description\" content=\"Deriving a p-value is an essential step in hypothesis testing to determine the significance of your results. 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