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반분검사 신뢰도에 대한 퍼뮤테이션 분석

Permutation Analysis of Split-Half Reliability Coefficient

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주제분류컴퓨터학

초록

In this paper, we describe a permutation procedure in which we compute a resampling probability value and empirical quantile limits for Split-Half measure of internal reliability. We use the Split-Half reliability coefficient given by two simple methods, the Spearman-Brown formula and the two-part coefficient alpha. The use of a permutation test for Split-Half reliability coefficient is highlighted as a valuable tool when the sample sizes are small and necessary assumptions cannot be met. The permutation tests for Split-Half reliability coefficient are illustrated with an example analysis of two survey data with a sample size of 15 and 35, respectively, and a hypothetical data with a sample size of 5.

Abstract

In this paper, we describe a permutation procedure in which we compute a resampling probability value and empirical quantile limits for Split-Half measure of internal reliability. We use the Split-Half reliability coefficient given by two simple methods, the Spearman-Brown formula and the two-part coefficient alpha. The use of a permutation test for Split-Half reliability coefficient is highlighted as a valuable tool when the sample sizes are small and necessary assumptions cannot be met. The permutation tests for Split-Half reliability coefficient are illustrated with an example analysis of two survey data with a sample size of 15 and 35, respectively, and a hypothetical data with a sample size of 5.

참고문헌 (13)

  1. C. Spearman, "Correlations calculated from faulty data", British Journal of Psychology, 3, pp.271~295 (1910)
  2. R. A. Charter, "Note on the underrepresentation of the split-half reliability formula for unequal standard deviations", Perceptual and Motor Skills, 82, pp.401~402 (1996)
  3. P. J. Rulon, "A simplified procedure for determining the reliability of a test by split halves", Harvard Educational Review, 9, pp.99~103 (1939)
  4. R. A. Charter, "Testing the difference between two or more independent alpha coefficients: an example", Perceptual and Motor Skills, 84, pp.464~466 (1997)
  5. R. A. Fisher, "A design of experiment" (1935), Oliver & Boyd
  6. P. W. Mielke Jr, "Permutation methods: a distance function approach" (2007), Springer-Verlag
  7. J. E. Johnston, "Permutation tests: precision in estimating probability values", Perceptual and Motor Skills, 105, pp.915~920 (2007)
  8. R. A. Charter, "Confidence Interval formulas for split-half reliability coefficients", Perceptual and Motor Skills, 86, pp.1168~1170 (2000)
  9. J. H. Zar, "Biostatistical Analysis" (1984), Prentice-Hall
  10. W. Kristof, "On the sampling theory of reliability estimation", Journal of Mathematical Psychology, 7, pp.371~377 (1970)
  11. A. J. Prelog, "Resampling permutation probability values forCronbach’s alpha", Perceptual and Motor Skills, 108, pp.431~438 (2009)
  12. H. Levenson, "Research with the locus of control construct, Vol. 1", pp.15~63 (1981), Academic Press
  13. M. H. Huh, "SPSS Questionnaire Survey Methods: from Basic to Practical Use" (2010), Hannnare Publishing Col

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