Bias of determinacy coefficients in confirmatory factor analysis based on categorical variables

05/11/2023
by   André Beauducel, et al.
0

The relevance of determinacy coefficients as indicators for the validity of factor score predictors has regularly been emphasized. Previous simulation studies revealed biased determinacy coefficients for factor score predictors based on categorical variables. Therefore, and because there are different possibilities to compute determinacy coefficients, the present study compared bias of determinacy coefficients for the best linear factor score predictor and for a correlation-preserving factor score predictor based on confirmatory factor models with observed variables with 2, 4, 6, and 8 categories and maximum likelihood estimation, diagonally weighted least squares estimation, and Bayesian estimation. Positive bias was found when data were based on variables with two categories, population factors were correlated, and when there were unmodeled cross-loadings. Based on the results, the correction for sampling error, the use of maximum likelihood or Bayesian parameters, and data with at least four categories are recommended to avoid overestimation of parameter-based determinacy coefficients.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
01/17/2023

The trade-off between factor score determinacy and the preservation of inter-factor correlations

Regression factor score predictors have the maximum factor score determi...
research
04/06/2020

Score Predictor Factor Analysis as model for the identification of single-item indicators

Score Predictor Factor Analysis (SPFA) was introduced as a method that a...
research
09/20/2021

Coefficients of factor score determinacy for mean plausible values of Bayesian factor analysis

In the context of Bayesian factor analysis, it is possible to compute me...
research
10/19/2021

On Clustering Categories of Categorical Predictors in Generalized Linear Models

We propose a method to reduce the complexity of Generalized Linear Model...
research
09/25/2022

Factor analysis for a mixture of continuous and binary random variables

We propose a multivariate probability distribution that models a linear ...
research
01/28/2022

R-factor analysis of data generated by a combination of R- and Q-factors leads to biased loading estimates

The effect of combined, generating R- and Q-factors of measured variable...
research
11/16/2016

ROS Regression: Integrating Regularization and Optimal Scaling Regression

In this paper we combine two important extensions of ordinary least squa...

Please sign up or login with your details

Forgot password? Click here to reset