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=== P-Values ===

Statistical analysis can be done with '''p-values''' instead.

The ''intention'' of p-values is to enable readers to apply their own tolerance for Type I error as a critical value. In some cases it is more succinct to report p-values rather than annotate multiple levels of significance (e.g. 90%, 95%, and 99%).

The unfortunate fact is that many people interpret p-values as a probability that the result is correct. For example, some people see a p-value of 0.02 and incorrectly assume that there is a 98% probability that the result is correct.

Test Statistic

A test statistic is a statistic generated for hypothesis testing in statistical inference.


Usage

A test statistic is compared to a critical value. H0 is rejected if:

test.svg

P-Values

Statistical analysis can be done with p-values instead.

The intention of p-values is to enable readers to apply their own tolerance for Type I error as a critical value. In some cases it is more succinct to report p-values rather than annotate multiple levels of significance (e.g. 90%, 95%, and 99%).

The unfortunate fact is that many people interpret p-values as a probability that the result is correct. For example, some people see a p-value of 0.02 and incorrectly assume that there is a 98% probability that the result is correct.


t-test


Z-test


Chi-squared test


F-test


CategoryRicottone

Statistics/TestStatistic (last edited 2025-04-08 15:28:58 by DominicRicottone)