크론바흐 알파 신뢰계수에 대한 유의성검정에서 이상치가 검정력에 미치는 영향
Outlier Impact on the Power of Significance Test for Cronbach Alpha Reliability Coefficient
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초록
본 논문은 크론바흐 알파 신뢰계수의 유의성 검정에서 이상치가 검정력에 미치는 영향을 연구한 것이다. 표본 크기, 문항들의 수, 이상치의 수, 모집단의 크론바흐 알파 레벨의 네 개의 변수들에 변화를 주었다. 데이터 시물에이션을 위해 다변량 정규분포를 사용했고 균일분포로부터 이상치를 추출하여 사용했다. 크론바흐 알파 신뢰도의 유의성 검정을 위해 모수적 검정(F 검정)과 퍼뮤테이션 검정을 사용하였다. 결과적으로 퍼뮤테이션 검정의 검정력은 F검정의 검정력 보다 크거나 같았고, 두 검정의 검정력은 모두 이상치의 수가 많아질수록 감소하였으며 이러한 이상치의영향은 모집단의 알파 레벨이 증가할수록 크게 나타났다.
Abstract
In this paper, we studied the impact of outliers on the power of the significance tests for Cronbach alpha reliability coefficient. Four variables were varied: sample size, the number of items, the number of outliers and population Cronbach Alpha levels. We simulated data using multivariate normal distribution and used outliers sampled from uniform distribution. To test the significance of Cronbach Alpha Reliability, parametric approach(F statistic) and permutation method were used. Consequently, we observed that the powers of permutation test are equal to or greater than those of F test under all conditions, and also both F test and permutation test lose the power as the number of outliers increases, and that these effects of outliers on the power are enhanced for increasing population alpha levels.
참고문헌 (17)
- Lee J. Cronbach, "My Current Thoughts on Coefficient Alpha and Successor Procedures", Educational and Psychological Measurement, 64(3), pp.391~418 (2004), SAGE Publications[DOI]
- R. P. McDonald, "Test theory: A unified treatment" (1999), Lawrence Erlbaum
- David J. Groggel, "Nonparametric estimation in one-way random effects models", Communications in Statistics - Simulation and Computation, 17(3), pp.887~903 (1988), Informa UK Limited[DOI]
- Yanyan Sheng, "Is Coefficient Alpha Robust to Non-Normal Data?", Frontiers in Psychology, 3 (2012), Frontiers Media SA[DOI]
- W. Kristof, "The statistical theory of stepped-up reliability coefficients when a test has been divided into deveral equivalent parts", Psychometrika, 28, pp.221~238 (1963), Wiley[DOI]
- J. M. van Zyl, "On the distribution of the maximum likelihood estimator of Cronbach's alpha", Psychometrika, 65(3), pp.271~280 (2000), Springer Science and Business Media LLC[DOI]
- Hongjing Liao, "Outlier Impact and Accommodation Methods: Multiple Comparisons of Type I Error Rates", Journal of Modern Applied Statistical Methods, 15(1), pp.452~471 (2016), The Netherlands Press[DOI]
- Yan Liu, "The Impact of Outliers on Cronbach's Coefficient Alpha Estimate of Reliability: Visual Analogue Scales", Educational and Psychological Measurement, 67(4), pp.620~634 (2007), SAGE Publications[DOI]
- Yan Liu, "The Impact of Outliers on Cronbach’s Coefficient Alpha Estimate of Reliability: Ordinal", Rating Scale Item Responses, 2009, pp.70(1), 5~21[DOI]
- John Ludbrook, "Why Permutation Tests are Superior to<i>t<", i>and<i>F<, The American Statistician, pp.1998, 52(2)[DOI]
- F. M. Lord, "Statistical Theories of Mental Test Scores" (1968), Addison-Wesley
- Leonard S. Feldt, "Statistical Inference for Coefficient Alpha", Applied Psychological Measurement, 11(1), pp.93~103 (1987), SAGE Publications[DOI]
- P. Good, "Permutation Tests: A Practical Guide to Resampling Methods for Testing Hypotheses" (1994), Springer-Verlag
- P. Good, "Extentions of the concept of exchangeability and their applications", Journal of Modern Applied Statistical Methods, 1(2), pp.243~247 (2002)[DOI]
- E. S. Edgington, "Randomization Tests" (1995), Marcel Dekker
- F. Branco, "The Impact of Outliers on the Power of the Randomization Test for Two Independent Groups", Numerical Analysis and Applied Mathematics, 1389, pp.1545~1548 (2011), AIP[DOI]
- J. H. Gleason, "Comparative power of the ANOVA, approximate randomization ANOVA, and Kruskal-Wallis test", pp.2013