{"id":261663,"date":"2024-05-06T03:31:10","date_gmt":"2024-05-06T03:31:10","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/?p=261663"},"modified":"2024-05-06T03:31:10","modified_gmt":"2024-05-06T03:31:10","slug":"how-to-find-p-value-given-obtained-value","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/how-to-find-p-value-given-obtained-value\/","title":{"rendered":"How to find p value given obtained value?"},"content":{"rendered":"<p>When conducting statistical analyses, it is essential to assess the significance of the obtained results. One common way to determine the significance of a statistic is by calculating the p-value. The p-value indicates the probability of obtaining a test statistic as extreme or more extreme than the one observed, assuming the null hypothesis is true. In other words, it helps you determine if your results are due to chance or if they are statistically significant. In this article, we will explain how to find the p-value given an obtained value through a step-by-step process.<\/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\/how-to-find-p-value-given-obtained-value\/#The_Step-by-Step_Process\" title=\"The Step-by-Step Process\">The Step-by-Step Process<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-p-value-given-obtained-value\/#Step_1_Determine_the_Null_Hypothesis_H0_and_Alternative_Hypothesis_Ha\" title=\"Step 1: Determine the Null Hypothesis (H0) and Alternative Hypothesis (Ha)\">Step 1: Determine the Null Hypothesis (H0) and Alternative Hypothesis (Ha)<\/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-find-p-value-given-obtained-value\/#Step_2_Select_a_Suitable_Statistical_Test\" title=\"Step 2: Select a Suitable Statistical Test\">Step 2: Select a Suitable Statistical 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-to-find-p-value-given-obtained-value\/#Step_3_Collect_and_Analyze_Data\" title=\"Step 3: Collect and Analyze Data\">Step 3: Collect and Analyze Data<\/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-find-p-value-given-obtained-value\/#Step_4_Determine_the_Significance_Level_%CE%B1\" title=\"Step 4: Determine the Significance Level (\u03b1)\">Step 4: Determine the Significance Level (\u03b1)<\/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-find-p-value-given-obtained-value\/#Step_5_Calculate_the_p-value\" title=\"Step 5: Calculate the p-value\">Step 5: Calculate the 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\/how-to-find-p-value-given-obtained-value\/#Step_6_Compare_the_p-value_and_Significance_Level\" title=\"Step 6: Compare the p-value and Significance Level\">Step 6: Compare the p-value and Significance Level<\/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-find-p-value-given-obtained-value\/#How_to_find_p_value_given_obtained_value\" title=\"How to find p value given obtained value?\">How to find p value given obtained value?<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-p-value-given-obtained-value\/#Frequently_Asked_Questions_FAQs\" title=\"Frequently Asked Questions (FAQs)\">Frequently Asked Questions (FAQs)<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-p-value-given-obtained-value\/#1_What_is_the_definition_of_a_p-value\" title=\"1. What is the definition of a p-value?\">1. What is the definition of a 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-find-p-value-given-obtained-value\/#2_Can_the_p-value_be_negative\" title=\"2. Can the p-value be negative?\">2. Can the p-value be negative?<\/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-find-p-value-given-obtained-value\/#3_What_does_it_mean_if_the_p-value_is_less_than_the_significance_level_%CE%B1\" title=\"3. What does it mean if the p-value is less than the significance level (\u03b1)?\">3. What does it mean if the p-value is less than the significance level (\u03b1)?<\/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-find-p-value-given-obtained-value\/#4_Can_the_p-value_be_greater_than_1\" title=\"4. Can the p-value be greater than 1?\">4. Can the 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-14\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-p-value-given-obtained-value\/#5_Is_a_small_p-value_always_desirable_or_meaningful\" title=\"5. Is a small p-value always desirable or meaningful?\">5. Is a small p-value always desirable or meaningful?<\/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\/how-to-find-p-value-given-obtained-value\/#6_What_if_my_p-value_is_close_to_the_significance_level_%CE%B1\" title=\"6. What if my p-value is close to the significance level (\u03b1)?\">6. What if my p-value is close to the significance level (\u03b1)?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-p-value-given-obtained-value\/#7_Can_you_reject_the_null_hypothesis_if_the_p-value_is_exactly_equal_to_the_significance_level\" title=\"7. Can you reject the null hypothesis if the p-value is exactly equal to the significance level?\">7. Can you reject the null hypothesis if the p-value is exactly equal to the significance level?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-p-value-given-obtained-value\/#8_How_does_the_sample_size_affect_the_p-value\" title=\"8. How does the sample size affect the p-value?\">8. How does the sample size affect the p-value?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-p-value-given-obtained-value\/#9_What_does_it_mean_if_the_p-value_is_greater_than_the_significance_level_%CE%B1\" title=\"9. What does it mean if the p-value is greater than the significance level (\u03b1)?\">9. What does it mean if the p-value is greater than the significance level (\u03b1)?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-p-value-given-obtained-value\/#10_Can_the_p-value_be_used_to_determine_the_effect_size\" title=\"10. Can the p-value be used to determine the effect size?\">10. Can the p-value be used to determine the effect size?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-p-value-given-obtained-value\/#11_Is_a_small_p-value_sufficient_to_establish_causation\" title=\"11. Is a small p-value sufficient to establish causation?\">11. Is a small p-value sufficient to establish causation?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-p-value-given-obtained-value\/#12_Can_you_interpret_a_p-value_without_knowing_the_research_context\" title=\"12. Can you interpret a p-value without knowing the research context?\">12. Can you interpret a p-value without knowing the research context?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"The_Step-by-Step_Process\"><\/span>The Step-by-Step Process<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To find the p-value given an obtained value, follow these steps:<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Step_1_Determine_the_Null_Hypothesis_H0_and_Alternative_Hypothesis_Ha\"><\/span>Step 1: Determine the Null Hypothesis (H0) and Alternative Hypothesis (Ha)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>First, you need to clearly define your null hypothesis (H0) and alternative hypothesis (Ha). The null hypothesis states that there is no significant difference or relationship between the variables, while the alternative hypothesis suggests otherwise.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Step_2_Select_a_Suitable_Statistical_Test\"><\/span>Step 2: Select a Suitable Statistical Test<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Choose an appropriate statistical test based on your research question and the type of data you are analyzing. Common statistical tests include t-tests, chi-square tests, ANOVA, and regression analysis, among others. Make sure the test you choose is best suited for your specific research design and data.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Step_3_Collect_and_Analyze_Data\"><\/span>Step 3: Collect and Analyze Data<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Collect your data and perform the selected statistical test. This will generate a test statistic, which measures the strength of the evidence against the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Step_4_Determine_the_Significance_Level_%CE%B1\"><\/span>Step 4: Determine the Significance Level (\u03b1)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Choose a significance level (\u03b1) in advance, which represents the maximum level of error you are willing to accept. The most commonly used significance level is 0.05, meaning that you are willing to accept a 5% chance of making a Type I error (rejecting the null hypothesis when it is true).<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Step_5_Calculate_the_p-value\"><\/span>Step 5: Calculate the p-value<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>To find the p-value given an obtained value, you will use the test statistic and the degrees of freedom associated with your statistical test. The degrees of freedom depend on the specific test you are conducting. By consulting statistical tables or using statistical software, you can determine the p-value corresponding to your test statistic and degrees of freedom.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Step_6_Compare_the_p-value_and_Significance_Level\"><\/span>Step 6: Compare the p-value and Significance Level<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Now it is time to compare your obtained p-value with the predetermined significance level (\u03b1). If the p-value is less than or equal to the significance level (p \u2264 \u03b1), you can reject the null hypothesis and conclude that the results are statistically significant. Conversely, if the p-value is greater than the significance level (p > \u03b1), you fail to reject the null hypothesis and conclude that the results are not statistically significant.<\/p>\n<p>**<\/p>\n<h3><span class=\"ez-toc-section\" id=\"How_to_find_p_value_given_obtained_value\"><\/span>How to find p value given obtained value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>**<\/p>\n<p>To find the p-value given an obtained value, you need to calculate the test statistic associated with your statistical test, determine the degrees of freedom, and consult statistical tables or use statistical software to identify the corresponding p-value.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions_FAQs\"><\/span>Frequently Asked Questions (FAQs)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"1_What_is_the_definition_of_a_p-value\"><\/span>1. What is the definition of a p-value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe p-value represents the probability of obtaining a test statistic as extreme or more extreme than the observed value, under the assumption that the null hypothesis is true.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"2_Can_the_p-value_be_negative\"><\/span>2. Can the p-value be negative?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, the p-value cannot be negative. It always ranges from 0 to 1.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"3_What_does_it_mean_if_the_p-value_is_less_than_the_significance_level_%CE%B1\"><\/span>3. What does it mean if the p-value is less than the significance level (\u03b1)?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nIf the p-value is less than or equal to the significance level (\u03b1), it indicates that the results are statistically significant. This means that the obtained value is unlikely to have occurred by chance alone, leading to the rejection of the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"4_Can_the_p-value_be_greater_than_1\"><\/span>4. Can the p-value be greater than 1?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, the p-value cannot be greater than 1. It is a probability and, therefore, stays within the range of 0 to 1.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"5_Is_a_small_p-value_always_desirable_or_meaningful\"><\/span>5. Is a small p-value always desirable or meaningful?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, a small p-value does not always signify meaningful results. It merely suggests that the observed data is unlikely to have occurred by chance. The significance and meaningfulness of the result depend on the research context and interpretation.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"6_What_if_my_p-value_is_close_to_the_significance_level_%CE%B1\"><\/span>6. What if my p-value is close to the significance level (\u03b1)?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nIf your p-value is very close to the significance level (\u03b1), you should exercise caution in interpreting the results. A slight deviation in the collected data or assumptions could lead to different conclusions. It is advisable to report the p-value and discuss the findings in the appropriate context.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"7_Can_you_reject_the_null_hypothesis_if_the_p-value_is_exactly_equal_to_the_significance_level\"><\/span>7. Can you reject the null hypothesis if the p-value is exactly equal to the significance level?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nYes, if the p-value is exactly equal to the significance level, you can reject the null hypothesis. However, keep in mind that all statistical tests are subject to some degree of uncertainty.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"8_How_does_the_sample_size_affect_the_p-value\"><\/span>8. How does the sample size affect the p-value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA larger sample size tends to yield smaller p-values because it provides more evidence to support or reject the null hypothesis. Generally, larger sample sizes increase the statistical power of the test.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"9_What_does_it_mean_if_the_p-value_is_greater_than_the_significance_level_%CE%B1\"><\/span>9. What does it mean if the p-value is greater than the significance level (\u03b1)?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nIf the p-value is greater than the significance level (\u03b1), it suggests that the observed results are likely due to chance. Thus, you fail to reject the null hypothesis and conclude that the results are not statistically significant.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"10_Can_the_p-value_be_used_to_determine_the_effect_size\"><\/span>10. Can the p-value be used to determine the effect size?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, the p-value does not directly indicate the effect size. However, it can provide information about the statistical significance of the effect.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"11_Is_a_small_p-value_sufficient_to_establish_causation\"><\/span>11. Is a small p-value sufficient to establish causation?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, statistical significance does not imply causation. A small p-value merely suggests that the observed results are unlikely to occur solely due to chance. Additional research and evidence are required to establish a causal relationship.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"12_Can_you_interpret_a_p-value_without_knowing_the_research_context\"><\/span>12. Can you interpret a p-value without knowing the research context?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nInterpreting a p-value without considering the research context can be misleading. It is crucial to understand the background, design, and objectives of the study to properly interpret the statistical significance.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>When conducting statistical analyses, it is essential to assess the significance of the obtained results. One common way to determine the significance of a statistic is by calculating the p-value. The p-value indicates the probability of obtaining a test statistic as extreme or more extreme than the one observed, assuming the null hypothesis is true. &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"How to find p value given obtained value?\" class=\"read-more button\" href=\"https:\/\/namso-gen.co\/blog\/how-to-find-p-value-given-obtained-value\/#more-261663\">Read more<span class=\"screen-reader-text\">How to find p value given obtained value?<\/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-261663","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 find p value given obtained value?<\/title>\n<meta name=\"description\" content=\"When conducting statistical analyses, it is essential to assess the significance of the obtained results. 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