Anova for repeated ordinal data with small sample size? a comparison of anova, manova, wls and gee methods by simulation
Titel:
Anova for repeated ordinal data with small sample size? a comparison of anova, manova, wls and gee methods by simulation
Auteur:
Stiger, Thomas R. Kosinski, Andrzej S. Barnhart, Huiman X. Kleinbaum, David G.
Verschenen in:
Communications in statistics
Paginering:
Jaargang 27 (1998) nr. 2 pagina's 357-375
Jaar:
1998
Inhoud:
Repeated ordinal outcomes are common in behavioral and medical sciences. Due to the familiarity, simplicity and robustness of ANOVA methodology, this approach has been frequently used for repeated ordinal data. Weighted least squares (WLS) and generalized estimating equations (GEE) are usually the procedures of choice for repeated ordinal data since, unlike ANOVA, they generally make no or few untenable assumptions. However, these methods are based on asymptotic results and their properties are not well understood for small samples. Moreover, few software packages have procedures for implementing these methods. This paper investigates the performance of ANOVA, MANOVA, WLS, and GEE for repeated ordinal data with small sample sizes. For a design with two groups and four time points, our simulation results indicated that ANOVA with the Huynh-Feldt adjustment performed matrix, known as sphericity, or the H-F condition, is a sufficient condition for the usual F tests to be valid. The sphericity condition is met if the Vax(Yijt-Yijt') is equal to some constant for all t≠t' (see Milliken and Johnson (1984, pp. 324-325)).