Pearson's chi-squared test is used to determine whether there is a statistically significant difference between the expected frequencies and the observed frequencies in one or more …

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 …

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 · The chi-square test of independence is used to test whether two categorical variables are related to each other. Chi-square is often written as Χ 2 and is pronounced “kai …

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 …

So how do we calculate this p-value? We use the Chi-Square Test! Note: Chi Sounds like "Hi" but with a K, so it sounds like " Ki square" And Chi is the greek letter Χ, so we can also write it Χ2. …

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 …

Aug 2, 2025 · Chi-squared test, or χ² test, helps in determining whether these two variables are associated with each other. This test is widely used in market research, healthcare, social …

The chi-squared test provides a way to test if an observed result (the number of heads) could feasibly have arisen randomly, or whether the original assumption (in this case of fairness) …

Comprehensive lecture notes on Chi-Square tests (χ²), including goodness-of-fit and test of independence. Features interactive visualization, manual calculation examples, R code, …