Grup içi Korelasyon Katsayısının Örnekleme Dağılımı

Abstract

Bu çal ışmada, grup içi korelasyon katsay ı s ı n ı n örnekleme da ğı l ı m ı n ı n belirlenmesi amaçlanm ışt ı r. Bunun için, simülasyon tekni'ğ inden yararlan ı larak, 100 000 simülasyon denemesi sonunda, çeş itli grup aras ı korelasyon yap ı s ı ndaki populasyonlardan rasgele al ı nan değ i ş ik grup say ı s ı ve örnek geniş liğ indeki örneklerde hesaplanan grup içi korelasyon katsay ı lar ı n ı n dağı l ı mlar ı elde edilmi ştir. Sonuç olarak, grup içi korelasyon katsay ı s ı nin normal da ğı lmad ığı belirlenmiştir.

Keywords

• Grup aras ı korelasyon
• grup içi korelasyon
• tekrarlanma derecesi
• örnekleme da ğı l ı M ı

The Sampling Distribution of Infra-Class Correlation Coefficient

Abstract

The determination of the sampling distribution of intra-class correlation coefficient was purposed in this study. For this, the simulation technique was used. The intra-class correlation coefficients were calculated at the end of the one hundred thousand simulation experiments and then the shape of the distribution of these values was looked. These distributions were obtained the samples taken randomly from the populations, which have the various inter-class correlation structures and the different number of groups and sample sizes. Consequently, it was seen that the intraclass correlation coefficient was non-normal distributed.

Keywords

• Inter-class correlation
• intra-class correlation
• repeatability
• sampling distributions

References

1. Bond, M. E. 1997. Using Prior Knowledge of Intraclass Correlation to Increase the Power of Hypothesis Tests for Treatment Means. DAIS, (57) 07, 4497 s.
2. Düzgüne ş , O. A. Eliçin, N. Akman, 1987 Hayvan Islah ı . Ankara Üniversitesi Ziraat Fakültesi Yay ı nlar ı : 1003. 298 S.
3. Fisher, R. A. 1958. Statistical Methods for Research Workers. Hafner Publihing Co.Inc., New York, 212-247 s.
4. Kromrey, J. D. ve W. B. Dickinson, 1996. Detecting Unit of Analysis Problems in Nested Designs-Statistical Power and Type-I Error Rates of the F-Test for Groups-WithinTreatments Effects. Educational and Psychological Measurement, (56) 2, 215-231 s.
5. Kurita, K. 1996. The Biasing Effects of Violating the Independence Assumption Upon the Power of t-Test. Jap.Jour.of Educational Psychology, (44) 2, 234-242 s.
6. Paul, S. R. '1996. Score Test for Interclass Correlation in Familia] Data. Biometrics, (56) 3, 955-963 s.
7. Rosner, B. 1979. Maximum Likelihood Estimation of Interclass Correlations. Biometrica, (66) 3, 533-538 s.
8. Sokal, R. R. ve F. J. Rohlf, 1995. Biometry. The Principles and Practice of Statistics in Biological Research. Third Ed. W.H. Freeman and Co., New York. 887 s.

9. Turner, H. N. ve S. S. Y. Young, 1969. Quantitative Genetics in Sheep Breeding. Cornet. University Press. Ithaca, New York. 332 s.
10. Winer, B. J. 1971. Statistical Principles in Experimental Design Second Ed. McGraw-Hill Book Co., New York. 907 s.