Chi-Square "Goodness of Fit" Test

Chi-square test" is often shorthand for Pearson's chi-square test.
A chi-square test (also chi-squared or χ2 test) is any statistical hypothesis test in which the test statistic has a chi-square distribution when the null hypothesis is true, or any in which the probability distribution of the test statistic (assuming the null hypothesis is true) can be made to approximate a chi-square distribution as closely as desired by making the sample size large enough. Some examples of chi-squared tests include: Pearson's chi-square test, also known as the chi-square goodness-of-fit test or chi-square test for independence. When mentioned without any modifiers or without other precluding context, this test is usually understood. Yates' chi-square test, also known as Yates' correction for continuity. Mantel-Haenszel chi-square test. Linear-by-linear association chi-square test. The test that the variance of a normally-distributed population has a given value based on a sample variance.