{"id":226127,"date":"2024-06-28T14:09:06","date_gmt":"2024-06-28T14:09:06","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/?p=226127"},"modified":"2024-06-28T14:09:06","modified_gmt":"2024-06-28T14:09:06","slug":"how-do-i-know-which-p-value-formula-to-use-2","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/how-do-i-know-which-p-value-formula-to-use-2\/","title":{"rendered":"How do I know which p-value formula to use?"},"content":{"rendered":"<p>When conducting a statistical analysis, you may come across different scenarios where you need to calculate the p-value. The p-value represents the probability of observing your data or more extreme results if the null hypothesis is true. The choice of the p-value formula depends on the type of hypothesis you are testing and the nature of your data. Here are some common scenarios along with the appropriate p-value formula:<\/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-do-i-know-which-p-value-formula-to-use-2\/#1_How_do_I_know_which_p-value_formula_to_use_for_a_one-sample_t-test\" title=\"1. How do I know which p-value formula to use for a one-sample t-test?\">1. How do I know which p-value formula to use for a one-sample t-test?<\/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-do-i-know-which-p-value-formula-to-use-2\/#2_How_do_I_know_which_p-value_formula_to_use_for_a_t-test_comparing_two_independent_samples\" title=\"2. How do I know which p-value formula to use for a t-test comparing two independent samples?\">2. How do I know which p-value formula to use for a t-test comparing two independent samples?<\/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-do-i-know-which-p-value-formula-to-use-2\/#3_How_do_I_know_which_p-value_formula_to_use_for_a_paired_t-test\" title=\"3. How do I know which p-value formula to use for a paired t-test?\">3. How do I know which p-value formula to use for a paired t-test?<\/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-do-i-know-which-p-value-formula-to-use-2\/#4_How_do_I_know_which_p-value_formula_to_use_for_a_one-sample_proportion_test\" title=\"4. How do I know which p-value formula to use for a one-sample proportion test?\">4. How do I know which p-value formula to use for a one-sample proportion test?<\/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-do-i-know-which-p-value-formula-to-use-2\/#5_How_do_I_know_which_p-value_formula_to_use_for_a_two-sample_proportion_test\" title=\"5. How do I know which p-value formula to use for a two-sample proportion test?\">5. How do I know which p-value formula to use for a two-sample proportion test?<\/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-do-i-know-which-p-value-formula-to-use-2\/#6_How_do_I_know_which_p-value_formula_to_use_for_a_one-way_ANOVA_test\" title=\"6. How do I know which p-value formula to use for a one-way ANOVA test?\">6. How do I know which p-value formula to use for a one-way ANOVA test?<\/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-do-i-know-which-p-value-formula-to-use-2\/#7_How_do_I_know_which_p-value_formula_to_use_for_a_chi-square_test_of_independence\" title=\"7. How do I know which p-value formula to use for a chi-square test of independence?\">7. How do I know which p-value formula to use for a chi-square test of independence?<\/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-do-i-know-which-p-value-formula-to-use-2\/#8_How_do_I_know_which_p-value_formula_to_use_for_a_chi-square_goodness-of-fit_test\" title=\"8. How do I know which p-value formula to use for a chi-square goodness-of-fit test?\">8. How do I know which p-value formula to use for a chi-square goodness-of-fit test?<\/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-do-i-know-which-p-value-formula-to-use-2\/#9_How_do_I_know_which_p-value_formula_to_use_for_a_Mann-Whitney_U_test\" title=\"9. How do I know which p-value formula to use for a Mann-Whitney U test?\">9. How do I know which p-value formula to use for a Mann-Whitney U test?<\/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-do-i-know-which-p-value-formula-to-use-2\/#10_How_do_I_know_which_p-value_formula_to_use_for_a_Kruskal-Wallis_test\" title=\"10. How do I know which p-value formula to use for a Kruskal-Wallis test?\">10. How do I know which p-value formula to use for a Kruskal-Wallis test?<\/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-do-i-know-which-p-value-formula-to-use-2\/#11_How_do_I_know_which_p-value_formula_to_use_for_a_Wilcoxon_signed-rank_test\" title=\"11. How do I know which p-value formula to use for a Wilcoxon signed-rank test?\">11. How do I know which p-value formula to use for a Wilcoxon signed-rank test?<\/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-do-i-know-which-p-value-formula-to-use-2\/#12_How_do_I_know_which_p-value_formula_to_use_for_a_Fishers_exact_test\" title=\"12. How do I know which p-value formula to use for a Fisher&#8217;s exact test?\">12. How do I know which p-value formula to use for a Fisher&#8217;s exact test?<\/a><\/li><\/ul><\/nav><\/div>\n<h3><span class=\"ez-toc-section\" id=\"1_How_do_I_know_which_p-value_formula_to_use_for_a_one-sample_t-test\"><\/span>1. How do I know which p-value formula to use for a one-sample t-test?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><\/p>\n<p>The p-value formula for a one-sample t-test depends on the sample size (n), the sample mean (( bar{x} )), the population mean (( mu )), and the standard deviation of the population (( sigma )). The formula is calculated as follows:<\/p>\n<p><strong>p = t-distribution probability, where t = (( bar{x} &#8211; mu )) \/ (( sigma \/ sqrt{n} ))<\/strong><\/p>\n<h3><span class=\"ez-toc-section\" id=\"2_How_do_I_know_which_p-value_formula_to_use_for_a_t-test_comparing_two_independent_samples\"><\/span>2. How do I know which p-value formula to use for a t-test comparing two independent samples?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><\/p>\n<p>The p-value formula for a t-test comparing two independent samples depends on the sample means (( bar{x_1} ) and ( bar{x_2} )), the population means (( mu_1 ) and ( mu_2 )), and the standard deviations of the populations (( sigma_1 ) and ( sigma_2 )). The formula is calculated as follows:<\/p>\n<p><strong>p = t-distribution probability, where t = (( bar{x_1} &#8211; bar{x_2} )) \/ ( sqrt{(sigma_1^2 \/ n_1) + (sigma_2^2 \/ n_2)} )<\/strong><\/p>\n<h3><span class=\"ez-toc-section\" id=\"3_How_do_I_know_which_p-value_formula_to_use_for_a_paired_t-test\"><\/span>3. How do I know which p-value formula to use for a paired t-test?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><\/p>\n<p>The p-value formula for a paired t-test depends on the differences between the paired observations (( x_i &#8211; y_i )), the mean difference (( bar{d} )), the standard deviation of the differences (( s_d )), and the sample size (( n )). The formula is calculated as follows:<\/p>\n<p><strong>p = t-distribution probability, where t = (( bar{d} &#8211; mu_0 )) \/ (( s_d \/ sqrt{n} ))<\/strong><\/p>\n<h3><span class=\"ez-toc-section\" id=\"4_How_do_I_know_which_p-value_formula_to_use_for_a_one-sample_proportion_test\"><\/span>4. How do I know which p-value formula to use for a one-sample proportion test?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><\/p>\n<p>The p-value formula for a one-sample proportion test depends on the sample proportion (( p )), the hypothesized proportion (( p_0 )), and the sample size (( n )). The formula is calculated as follows:<\/p>\n<p><strong>p = Normal distribution probability, where ( z = (p &#8211; p_0) \/ sqrt{p_0(1-p_0)\/n} )<\/strong><\/p>\n<h3><span class=\"ez-toc-section\" id=\"5_How_do_I_know_which_p-value_formula_to_use_for_a_two-sample_proportion_test\"><\/span>5. How do I know which p-value formula to use for a two-sample proportion test?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><\/p>\n<p>The p-value formula for a two-sample proportion test depends on the sample proportions (( p_1 ) and ( p_2 )), the hypothesized proportions (( p_{01} ) and ( p_{02} )), the sample sizes (( n_1 ) and ( n_2 )), and the pooled proportion (( p_p )). The formula is calculated as follows:<\/p>\n<p><strong>p = Normal distribution probability, where ( z = frac{p_1 &#8211; p_2}{sqrt{p_p(1-p_p)(frac{1}{n_1} + frac{1}{n_2})}} )<\/strong><\/p>\n<h3><span class=\"ez-toc-section\" id=\"6_How_do_I_know_which_p-value_formula_to_use_for_a_one-way_ANOVA_test\"><\/span>6. How do I know which p-value formula to use for a one-way ANOVA test?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><\/p>\n<p>The p-value formula for a one-way ANOVA test depends on the sample means (( bar{x_1} ), ( bar{x_2} ), &#8230;), the population means (( mu_1 ), ( mu_2 ), &#8230;), the within-group variation (( SSW )), and the between-group variation (( SSB )). The formula is calculated as follows:<\/p>\n<p><strong>p = F-distribution probability, where ( F = frac{SSB \/ dof_B}{SSW \/ dof_W} )<\/strong><\/p>\n<h3><span class=\"ez-toc-section\" id=\"7_How_do_I_know_which_p-value_formula_to_use_for_a_chi-square_test_of_independence\"><\/span>7. How do I know which p-value formula to use for a chi-square test of independence?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><\/p>\n<p>The p-value formula for a chi-square test of independence depends on the observed frequencies in each category, the expected frequencies (( E_{ij} )), and the degrees of freedom (( (r-1)(c-1) )). The formula is calculated as follows:<\/p>\n<p><strong>p = chi-square distribution probability, where chi-square = ( sum frac{(O_{ij} &#8211; E_{ij})^2}{E_{ij}} )<\/strong><\/p>\n<h3><span class=\"ez-toc-section\" id=\"8_How_do_I_know_which_p-value_formula_to_use_for_a_chi-square_goodness-of-fit_test\"><\/span>8. How do I know which p-value formula to use for a chi-square goodness-of-fit test?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><\/p>\n<p>The p-value formula for a chi-square goodness-of-fit test depends on the observed frequencies in each category, the expected frequencies (( E_i )), and the degrees of freedom (( k-1 )). The formula is calculated as follows:<\/p>\n<p><strong>p = chi-square distribution probability, where chi-square = ( sum frac{(O_i &#8211; E_i)^2}{E_i} )<\/strong><\/p>\n<h3><span class=\"ez-toc-section\" id=\"9_How_do_I_know_which_p-value_formula_to_use_for_a_Mann-Whitney_U_test\"><\/span>9. How do I know which p-value formula to use for a Mann-Whitney U test?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><\/p>\n<p>The p-value formula for a Mann-Whitney U test depends on the U value, which is determined by ranking the observations from both groups and calculating the sum of the ranks for one of the groups. The formula is then derived from the U value and the sample sizes (( n_1 ) and ( n_2 )).<\/p>\n<p><strong>p = calculated based on U value and sample sizes<\/strong><\/p>\n<h3><span class=\"ez-toc-section\" id=\"10_How_do_I_know_which_p-value_formula_to_use_for_a_Kruskal-Wallis_test\"><\/span>10. How do I know which p-value formula to use for a Kruskal-Wallis test?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><\/p>\n<p>The p-value formula for a Kruskal-Wallis test depends on the H value, which is calculated using the sum of ranks for each group and the sample sizes (( n_1 ), ( n_2 ), &#8230;). The formula is determined from the H value and the degrees of freedom.<\/p>\n<p><strong>p = calculated based on H value and degrees of freedom<\/strong><\/p>\n<h3><span class=\"ez-toc-section\" id=\"11_How_do_I_know_which_p-value_formula_to_use_for_a_Wilcoxon_signed-rank_test\"><\/span>11. How do I know which p-value formula to use for a Wilcoxon signed-rank test?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><\/p>\n<p>The p-value formula for a Wilcoxon signed-rank test depends on the sum of ranks (( W^+ ) or ( W^- )), the sample size (( n )), and the distribution of the test statistic. The formula is then determined from the test statistic.<\/p>\n<p><strong>p = calculated based on test statistic and sample size<\/strong><\/p>\n<h3><span class=\"ez-toc-section\" id=\"12_How_do_I_know_which_p-value_formula_to_use_for_a_Fishers_exact_test\"><\/span>12. How do I know which p-value formula to use for a Fisher&#8217;s exact test?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><\/p>\n<p>The p-value formula for a Fisher&#8217;s exact test depends on the observed frequencies in each cell of a contingency table and the hypergeometric distribution. The formula calculates the probability of obtaining a distribution as extreme or more extreme than the observed frequencies.<\/p>\n<p><strong>p = calculated based on observed frequencies and hypergeometric distribution<\/strong><\/p>\n<p>Understanding the appropriate p-value formula to use for different statistical tests is crucial for accurately interpreting the results. Always refer to the specific test you are conducting to determine the correct formula to use and ensure accurate statistical analysis.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>When conducting a statistical analysis, you may come across different scenarios where you need to calculate the p-value. The p-value represents the probability of observing your data or more extreme results if the null hypothesis is true. The choice of the p-value formula depends on the type of hypothesis you are testing and the nature &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"How do I know which p-value formula to use?\" class=\"read-more button\" href=\"https:\/\/namso-gen.co\/blog\/how-do-i-know-which-p-value-formula-to-use-2\/#more-226127\">Read more<span class=\"screen-reader-text\">How do I know which p-value formula to use?<\/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-226127","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 do I know which p-value formula to use?<\/title>\n<meta name=\"description\" content=\"When conducting a statistical analysis, you may come across different scenarios where you need to calculate the p-value. 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