Chi-squared distribution, showing χ2 on the first axis and p -value (right tail probability) on the second axis. A chi-squared test (also chi-square or χ2 test) is a statistical hypothesis test used in the …

Nov 27, 2025 · Chi-squared test, a hypothesis-testing method in which observed frequencies are compared with expected frequencies for experimental outcomes. In hypothesis testing, data from a …

Dec 15, 2025 · Learn about the Chi-Square test, its formula, and types. Understand when to use the tests, chi-square distributions, and how to solve Chi-Square problems.

May 23, 2022 · A Pearson’s chi-square test is a statistical test for categorical data. It is used to determine whether your data are significantly different from what you expected.

Simple explanation of chi-square statistic plus how to calculate the chi-square statistic. Free online calculators and homework help.

Oct 2, 2025 · Chi-square is a statistical test used to examine the differences between categorical variables from a random sample in order to judge the goodness of fit between expected and …

Welcome to this comprehensive guide on Chi‑Square (χ²) tests, essential tools in statistics for analyzing categorical data.

When used without further qualification, the term usually refers to Pearson's chi-squared test, which is used to test whether an observed distribution could have arisen from an expected distribution (under …

Aug 29, 2023 · There are three main types of Chi-square tests, tests of goodness of fit, the test of independence, and the test for homogeneity. All three tests rely on the same formula to compute a …

There are two commonly used Chi-square tests: the Chi-square goodness of fit test and the Chi-square test of independence. Both tests involve variables that divide your data into categories.