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  1. How to Perform a Chi-Square Test by Hand (Step-by-Step) - Statology

    Sep 24, 2021 · This tutorial explains how to perform a Chi-Square goodness of fit test by hand, including a step-by-step example.

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

    May 23, 2022 · If you want to test a hypothesis about the distribution of a categorical variable you’ll need to use a chi-square test or another nonparametric test. Categorical variables can be nominal or …

  3. Chi-Square Test: A Step-by-Step Guide - numberanalytics.com

    Jun 10, 2025 · This step-by-step guide to the Chi-Square Test provides a comprehensive overview of the test's application, including data preparation, calculation, and interpretation.

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

    Aug 29, 2023 · The four steps below show you how to analyze your data using a chi-square goodness-of-fit test in SPSS (when you have hypothesized that you have equal expected proportions).

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

    Feb 16, 2026 · 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 the chi-square test …

  6. Chi-Square Test - GeeksforGeeks

    Aug 2, 2025 · Before performing a chi-square test, you should have on hand information about two categorical variables you wish to observe. You must collect details on people’s sex (male or female) …

  7. Chi-square Test: Formula, Uses, Table, Examples, Uses

    Aug 3, 2023 · A Chi-square test is performed to determine if there is a difference between the theoretical population parameter and the observed data. Chi-square test is a non-parametric test where the data …

  8. Chi-Square (χ²) Tests: Complete Lecture Notes & Interactive Statistics ...

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

  9. Chi-square Test – Types, Formula, Practice Problems, Applications

    Sep 10, 2024 · In practice, the Chi-square test can be applied in various ways, such as testing the goodness of fit, evaluating population variance, or assessing homogeneity. A common scenario is …

  10. Chi-Square Test — Goodness of Fit & Independence Explained with …

    Oct 29, 2025 · Learn the Chi-Square Test for goodness of fit and independence with step-by-step examples, formulas, and interpretations. Ideal for IB, AP, and A Level students.