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- https://stats.libretexts.org/Courses/Fresno_City_College/Book%3A_Business_Statistics_Customized_(OpenStax)/12%3A_F_Distribution_and_One-Way_ANOVA/12.03%3A_One-Way_ANOVAFor example, if there are k groups: \(H_{0} : \mu_{1}=\mu_{2}=\mu_{3}=\ldots \mu_{k}\) The graphs, a set of box plots representing the distribution of values with the group means indicated by a horizo...For example, if there are k groups: \(H_{0} : \mu_{1}=\mu_{2}=\mu_{3}=\ldots \mu_{k}\) The graphs, a set of box plots representing the distribution of values with the group means indicated by a horizontal line through the box, help in the understanding of the hypothesis test. If the null hypothesis is false, then the variance of the combined data is larger which is caused by the different means as shown in the second graph (green box plots).
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Business_Statistics_(OpenStax)/12%3A_F_Distribution_and_One-Way_ANOVA/12.06%3A_Chapter_ReviewThis page discusses the F test for comparing two variances, emphasizing normal distribution assumptions. It includes one-way ANOVA, which compares multiple groups under similar conditions. The F stati...This page discusses the F test for comparing two variances, emphasizing normal distribution assumptions. It includes one-way ANOVA, which compares multiple groups under similar conditions. The F statistic, the ratio of variation between group means to within-group variation, is introduced. The positively skewed F distribution is explained, along with the relationship between the null hypothesis and the F statistic.
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Business_Statistics_(OpenStax)/12%3A_F_Distribution_and_One-Way_ANOVA/12.10%3A_ReferencesThis page encompasses diverse statistical references, including historical MLB standings, unpublished student research on tomatoes, and educational insights on the F distribution. It notably cites the...This page encompasses diverse statistical references, including historical MLB standings, unpublished student research on tomatoes, and educational insights on the F distribution. It notably cites the Handbook of Small Datasets on fruit fly reproduction and critiques body temperature standards from a 1992 medical journal. Overall, it showcases a blend of academic research and statistical evaluations from varied sources.
- https://stats.libretexts.org/Bookshelves/Applied_Statistics/Business_Statistics_(OpenStax)/12%3A_F_Distribution_and_One-Way_ANOVA/12.01%3A_Test_of_Two_VariancesThis page discusses the F distribution, crucial for comparing variances in contexts like ANOVA. It covers the F test for variance equality, highlighting the need for normality and independence, with t...This page discusses the F distribution, crucial for comparing variances in contexts like ANOVA. It covers the F test for variance equality, highlighting the need for normality and independence, with the F statistic as a ratio of sample variances compared to critical values.
- https://stats.libretexts.org/Courses/Fresno_City_College/Introduction_to_Business_Statistics_-_OER_-_Spring_2023/12%3A_F_Distribution_and_One-Way_ANOVA/12.03%3A_One-Way_ANOVAFor example, if there are k groups: \(H_{0} : \mu_{1}=\mu_{2}=\mu_{3}=\ldots \mu_{k}\) The graphs, a set of box plots representing the distribution of values with the group means indicated by a horizo...For example, if there are k groups: \(H_{0} : \mu_{1}=\mu_{2}=\mu_{3}=\ldots \mu_{k}\) The graphs, a set of box plots representing the distribution of values with the group means indicated by a horizontal line through the box, help in the understanding of the hypothesis test. If the null hypothesis is false, then the variance of the combined data is larger which is caused by the different means as shown in the second graph (green box plots).
