Is A Small P Value Good Or Bad Are smaller p values more convincing Yes of course they are In the Fisher framework p value is a quantification of the amount of evidence against the null hypothesis
A small p value in a large study might represent a tiny practically insignificant effect while a larger p value in a small study might suggest an effect that s worth further If your P value is small enough you can conclude that your sample is so incompatible with the null hypothesis that you can reject the null for the entire population P values are
Is A Small P Value Good Or Bad
Is A Small P Value Good Or Bad
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How Small Should the P Value Be to Claim Statistical Significance Traditionally a result is considered statistically significant if the p value is less than 0 05 This threshold The p value is a number calculated from a statistical test that describes how likely you are to have found a particular set of observations if the null hypothesis were true P values
Moreover the P value does not provide a good measure of the strength of evidence against the null hypothesis of no difference no association between a characteristic and an outcome A statement such as By convention a p value higher than 0 05 usually indicates that the results of the study however good or bad were probably due only to chance is at
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A small p value less than 0 05 indicates moderate to strong evidence against the null hypothesis but it doesn t prove the alternative hypothesis In summary the p P values on standard computers using IEEE double precision floats can get as low as approximately 10 308 These can be legitimately correct calculations when effect sizes
I e in the two sample t test the null model specifies not only d 0 but normal errors no omitted variables etc A small p value indicates poor fit of data to the model but not A small p value indicates that there is strong evidence against the null hypothesis and indicates that you should reject this claim in favor of the alternative The alternative
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Are smaller p values more convincing Yes of course they are In the Fisher framework p value is a quantification of the amount of evidence against the null hypothesis
https://www.statology.org › the-concise-guide-to-interpreting-p-values
A small p value in a large study might represent a tiny practically insignificant effect while a larger p value in a small study might suggest an effect that s worth further
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Is A Small P Value Good Or Bad - How Small Should the P Value Be to Claim Statistical Significance Traditionally a result is considered statistically significant if the p value is less than 0 05 This threshold
