The Korean Journal of Applied Statistics (응용통계연구)

The Korean Statistical Society (한국통계학회)
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Reliability using Cronbach alpha in sample survey

표본조사에서 크론바흐알파값을 사용한 신뢰성

  • Park, Hyeonah (Department of Information and Statistics, Yonsei University)
  • 박현아 (연세대학교 정보통계학과)
  • Received : 2020.09.17
  • Accepted : 2020.10.13
  • Published : 2021.02.28
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Abstract

Abstract concepts in social research must use measurement tools that are assured of validity and reliability. Observation score derived by a measurement tool can be divided into a valid observation score, a biased observation score, and an error. The presence or absence of a biased value is associated with validity, and the presence or absence of an error value is associated with reliability. There are many techniques for seeing whether a measurement tool is valid and reliable. For example, there are construct validity using factor analysis and internal consistency based on the Cronbach alpha. In this study, the calculation of the Cronbach alpha is derived through a sample, so we suggest an estimator of the Cronbach alpha under complex sample design and nonresponse. In a simulation, the proposed method is compared with many other existing estimators of Cronbach alpha under a multivariate normal distribution.

사회조사에서 추상적 개념은 타당성과 신뢰성이 보장된 측정도구를 사용하여야 한다. 그와 같은 측정도구에 의해 도출된 관측점수는 타당한 관측점수와 편향된 관측점수와 오차로 나눌 수 있으며 편향된 값의 유무가 타당성과 연관되어 있으며 오차값의 유무가 신뢰성과 연관되어 있다. 측정도구가 타당도 및 신뢰도를 만족하는 지를 보기 위한 기법들이 많이 존재한다. 예를 들면 요인분석을 통한 구성타당도, 크론바흐 알파 값에 의한 내적일치도 등을 들 수 있다. 본 연구에서 크론바흐알파값의 계산은 표본을 통해서 도출되는 데 복잡한 표본설계와 무응답이 발생했을 때 크론바흐알파값의 추정법에 대해 살펴본다. 제안된 기법에 대한 모의실험으로 다변량정규분포를 사용하여 기존의 여러 다른 크론바흐알파값의 추정기법과 비교분석한다.

Keywords

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