Literaturnachweis - Detailanzeige
| Autor/inn/en | Edwards, Lynne K.; Meyers, Sarah A. |
|---|---|
| Titel | Robust Approximations to the Non-Null Distribution of the Product Moment Correlation Coefficient I: The Phi Coefficient. |
| Quelle | (1991), (18 Seiten)
PDF als Volltext kostenfreie Datei |
| Sprache | englisch |
| Dokumenttyp | gedruckt; online; Monographie |
| Schlagwörter | Computer Simulation; Correlation; Educational Research; Equations (Mathematics); Estimation (Mathematics); Mathematical Models; Psychological Studies; Robustness (Statistics) |
| Abstract | Correlation coefficients are frequently reported in educational and psychological research. The robustness properties and optimality among practical approximations when phi does not equal 0 with moderate sample sizes are not well documented. Three major approximations and their variations are examined: (1) a normal approximation of Fisher's Z, N(sub 1) (R. A. Fisher, 1915); (2) a student's t based approximation, t(sub 1) (H. C. Kraemer, 1973; M. Samiuddin, 1970), which replaces for each sample size the population phi with phi*, the median of the distribution of r (the product moment correlation); (3) a normal approximation, N(sub6) (H. C. Kraemer, 1980) that incorporates the kurtosis of the X distribution; and (4) five variations--t(sub2), t(sub 1)', N(sub 3), N(sub4), and N(sub4)'--on the aforementioned approximations. N(sub 1) was found to be most appropriate, although N(sub 6) always produced the shortest confidence intervals for a non-null hypothesis. All eight approximations resulted in positively biased rejection rates for large absolute values of phi; however, for some conditions with low values of phi with heteroscedasticity and non-zero kurtosis, they resulted in the negatively biased empirical rejection rates. Four tables contain information about the approximations. (Author/SLD) |
| Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
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