WebThe Greenhouse–Geisser correction was used in order to avoid the risk of violating the sphericity assumption if necessary. Dependent variables were calculated in percentage … Sphericity is an important assumption of a repeated-measures ANOVA. It is the condition of equal variances among the differences between all possible pairs of within-subject conditions (i.e., levels of the independent variable). If sphericity is violated (i.e., if the variances of the differences between all … See more Mauchly's sphericity test or Mauchly's W is a statistical test used to validate a repeated measures analysis of variance (ANOVA). It was developed in 1940 by John Mauchly. See more To further illustrate the concept of sphericity, consider a matrix representing data from patients who receive three different types of drug treatments in Figure 1. Their outcomes are represented on the left-hand side of the matrix, while differences between … See more When sphericity has been established, the F-ratio is valid and therefore interpretable. However, if Mauchly's test is significant then the F-ratios produced must be interpreted with caution as the violations of this assumption can result in an increase in the See more • Girden, E. R. (1992). ANOVA: repeated measures. Newbury Park, CA: Sage. • Greenhouse, S. W., & Geisser, S. (1959). "On methods in the analysis of profile data." Psychometrika, 24, 95–112. • Huynh, H., & Feldt, L. S. (1976). "Estimation of the Box correction for … See more Developed in 1940 by John W. Mauchly, Mauchly's test of sphericity is a popular test to evaluate whether the sphericity assumption has been violated. The null hypothesis of sphericity and alternative hypothesis of non-sphericity in the above example can be … See more While Mauchly's test is one of the most commonly used to evaluate sphericity, the test fails to detect departures from sphericity in small samples and over-detects departures … See more
Why does repeated measures ANOVA assume sphericity?
WebWithin-subjects ANOVAs assume sphericity, but what is sphericity exactly? In this video, I provide a very intuitive demonstration of sphericity. WebFeb 25, 2024 · To conduct Bartlett’s Test of Sphericity in R, we can use the cortest.bartlett () function from the psych library. The general syntax for this function is as follows: cortest.bartlett (R, n) R: a correlation matrix of the dataset. n: sample size of the dataset. The following code illustrates how to conduct this test on a fake dataset we created: meb consulting
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