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Outlier Impact on the Power of Significance Test for Cronbach Alpha Reliability Coefficient

  • Journal of The Korea Society of Computer and Information
  • Abbr : JKSCI
  • 2023, 28(5), pp.179-187
  • DOI : 10.9708/jksci.2023.28.05.179
  • Publisher : The Korean Society Of Computer And Information
  • Research Area : Engineering > Computer Science
  • Received : April 26, 2023
  • Accepted : May 22, 2023
  • Published : May 31, 2023

Yonghwan Um 1

1성결대학교

Accredited

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.

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