Literaturnachweis - Detailanzeige
| Autor/inn/en | Rheinheimer, David C.; Penfield, Douglas A. |
|---|---|
| Titel | The Effects of Type I Error Rate and Power of the ANCOVA F-Test and Selected Alternatives under Non-Normality and Variance Heterogeneity. |
| Quelle | (1998), (28 Seiten)
PDF als Volltext kostenfreie Datei |
| Sprache | englisch |
| Dokumenttyp | gedruckt; online; Monographie |
| Schlagwörter | Analysis of Covariance; Monte Carlo Methods; Robustness (Statistics); Sample Size; Simulation |
| Abstract | The performance of analysis of covariance (ANCOVA) and six selected competitors was examined under varying experimental conditions through Monte Carlo simulations. The six alternatives were: (1) Quade's procedure (D. Quade, 1967); (2) Puri and Sen's solution (M. Puri and P. Sen, 1969); (3) Burnett and Barr's rank difference scores (T. Burnett and D. Barr, 1977); (4) Conover and Iman's rank transformation test (W. Conover and R. Iman, 1982); (5) Hettmansperger's procedure (T. Hettmansperger, 1984); and (6) the Puri-Sen-Harwell-Serlin test (R. Harwell and R. Serlin, 198). The conditions that were manipulated included assumptions of normality and variance homogeneity, sample size, number of treatment groups, strength of the covariate/dependent variable relationship, and multiple combinations of these factors. Results indicate that variance heterogeneity, especially in combination with unbalanced designs and severe nonnormality, had a profound impact on Type I error rates. The ANCOVA F-test was robust and exhibited high power under variance homogeneity, and for some cases of variance heterogeneity, but became less competitive as conditions departed from normality. (Contains 4 tables and 23 references.) (SLD) |
| Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
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