This chapter introduces fundamental statistical methods for analyzing change over time within the same group, emphasizing dependent measures. Researchers often measure repeated outcomes, such as student reading scores across a school year, to determine whether scores change over multiple time points. For comparisons between two time points, the dependent (paired) samples t-test provides a straightforward method, while repeated measures ANOVA extends this approach to three or more time points. Key assumptions (including independence of observations, normality of differences, and scale-level measurement) are discussed, along with strategies for checking these assumptions in R using histograms, Q-Q plots, and Shapiro-Wilk tests. If assumptions are violated, this chapter introduces nonparametric Wilcoxon V for paired samples and Friedman’s test for repeated measures as well as non-parametric post-hoc and effect size tests.

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One-Way Dependent Samples and Time Series Tests

  • Mark A. Perkins

摘要

This chapter introduces fundamental statistical methods for analyzing change over time within the same group, emphasizing dependent measures. Researchers often measure repeated outcomes, such as student reading scores across a school year, to determine whether scores change over multiple time points. For comparisons between two time points, the dependent (paired) samples t-test provides a straightforward method, while repeated measures ANOVA extends this approach to three or more time points. Key assumptions (including independence of observations, normality of differences, and scale-level measurement) are discussed, along with strategies for checking these assumptions in R using histograms, Q-Q plots, and Shapiro-Wilk tests. If assumptions are violated, this chapter introduces nonparametric Wilcoxon V for paired samples and Friedman’s test for repeated measures as well as non-parametric post-hoc and effect size tests.