The Structural Equation Model with Ordinal Data

,; ,; ,

Journal of Korean Society for Quality Management > Volume 30(3); 2002 > Article

Journal of Korean Society for Quality Management 2002;30(3): 38-.

순서형 자료로 측정된 구조방정식모형 분석

윤상운¹, 박정선², 이태섭³

¹연세대학교 응용통계학과
²연세대학교 입학관리처
³안양대학교 정보통계학과

The Structural Equation Model with Ordinal Data

ABSTRACT

This paper is concerned with the analysis of structural equation model(SEM) with the ordinal data such as Likert scale. The SEM is misused when the arbitrary scores allocated to the Likert scale are treated as quantitative data. The underlying distribution approaches have been studied to solve this problem, and the partial least squares(PLS) Is also tried. In this paper the quantification methods for the Likert scale are proposed to analyze the SEM. We assume that the Likert scale is an observation of the interval of the continuous underlying distribution, and the respondents have their own patterns in the response of some questions. Normal and beta distributions as the response patterns are considered to quantify the Likert scale. To compare the efficiency of the proposed method the bootstrap simulations are tried.

Key Words: Structural Equation Model;Ordinal Data;Quantification;