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- https://stats.libretexts.org/Courses/Saint_Mary's_College_Notre_Dame/BFE_1201_Statistical_Methods_for_Finance_(Kuter)/07%3A_Hypothesis_Testing/7.16%3A_Test_of_IndependenceIf the expected and observed values are not close together, then the test statistic is very large and way out in the right tail of the chi-square curve, as it is in a goodness-of-fit. The observed tab...If the expected and observed values are not close together, then the test statistic is very large and way out in the right tail of the chi-square curve, as it is in a goodness-of-fit. The observed table and the question at the end of the problem, "Is the number of hours volunteered independent of the type of volunteer?"
- https://stats.libretexts.org/Courses/Fresno_City_College/Introduction_to_Business_Statistics_-_OER_-_Spring_2023/11%3A_The_Chi-Square_Distribution/11.05%3A_Test_of_IndependenceIf the expected and observed values are not close together, then the test statistic is very large and way out in the right tail of the chi-square curve, as it is in a goodness-of-fit. The observed tab...If the expected and observed values are not close together, then the test statistic is very large and way out in the right tail of the chi-square curve, as it is in a goodness-of-fit. The observed table and the question at the end of the problem, "Is the number of hours volunteered independent of the type of volunteer?"
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Business_Statistics_(OpenStax)/11%3A_The_Chi-Square_Distribution/11.04%3A_Test_of_IndependenceThis page discusses independence tests using contingency tables to analyze relationships between categorical variables. It details test statistics, hypothesis formulation, and emphasizes expected valu...This page discusses independence tests using contingency tables to analyze relationships between categorical variables. It details test statistics, hypothesis formulation, and emphasizes expected value sufficiency. A case study on volunteer hours shows dependency between variables, while another study of 400 students examines anxiety levels and academic success needs.
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Business_Statistics_(OpenStax)/11%3A_The_Chi-Square_Distribution/11.09%3A_Formula_ReviewThis page provides an overview of the chi-square distribution, detailing its definition, expected mean, and standard deviation. It explains the testing of a single variance, along with its formula and...This page provides an overview of the chi-square distribution, detailing its definition, expected mean, and standard deviation. It explains the testing of a single variance, along with its formula and the procedure that includes calculating degrees of freedom. It also covers the goodness-of-fit test, the test of independence, and the test for homogeneity, each with their formulas and degrees of freedom.
- https://stats.libretexts.org/Courses/Fresno_City_College/Book%3A_Business_Statistics_Customized_(OpenStax)/11%3A_The_Chi-Square_Distribution/11.05%3A_Test_of_IndependenceIf the expected and observed values are not close together, then the test statistic is very large and way out in the right tail of the chi-square curve, as it is in a goodness-of-fit. The observed tab...If the expected and observed values are not close together, then the test statistic is very large and way out in the right tail of the chi-square curve, as it is in a goodness-of-fit. The observed table and the question at the end of the problem, "Is the number of hours volunteered independent of the type of volunteer?"
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Business_Statistics_(OpenStax)/11%3A_The_Chi-Square_Distribution/11.08%3A_Chapter_ReviewThis page discusses the importance of the chi-square distribution in evaluating data fit, population distribution equality, event independence, and variability. It highlights the role of degrees of fr...This page discusses the importance of the chi-square distribution in evaluating data fit, population distribution equality, event independence, and variability. It highlights the role of degrees of freedom in shaping the distribution, which is right-skewed and approaches normality for df > 90.
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Business_Statistics_(OpenStax)/11%3A_The_Chi-Square_DistributionThis page offers a comprehensive overview of the Chi-Square Distribution, covering its characteristics and applications in hypothesis testing, including variance, goodness-of-fit, independence, and ho...This page offers a comprehensive overview of the Chi-Square Distribution, covering its characteristics and applications in hypothesis testing, including variance, goodness-of-fit, independence, and homogeneity tests. It highlights the Goodness-of-Fit test's role in evaluating data alignment with specific distributions and includes review exercises and references for further study.
