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  1. Chi-squared test - Wikipedia

    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 …

  2. Chi-Square (Χ²) Tests | Types, Formula & Examples - Scribbr

    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.

  3. Chi-Square (χ2) Statistic: What It Is, Examples, How and When to …

    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 …

  4. Chi-Square Test: Formula, Types, & Examples - Simplilearn

    Dec 15, 2025 · This tutorial will guide you through the fundamentals of the Chi-Square test, including its formula, different types, and real-world applications. By the end, you'll understand …

  5. Chi-squared test | Definition, Formula, Types, & Facts | Britannica

    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 …

  6. Chi-Square Test - GeeksforGeeks

    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 …

  7. What Is Chi Square Test & How To Calculate Formula Equation

    Aug 29, 2023 · The Chi-square test is a statistical method used to determine if there's a significant association between two categorical variables in a sample.

  8. Chi-Square Test - Math is Fun

    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. Important points before we get …

  9. Chi-Square Statistic: How to Calculate It / Distribution

    A chi-square test for independence compares two variables in a contingency table to see if they are related. In a more general sense, it tests to see whether distributions of categorical …

  10. Lecture Notes: Chi-Square (χ²) Tests

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