TITLE:
A Note on Approximation of Likelihood Ratio Statistic in Exploratory Factor Analysis
AUTHORS:
Masanori Ichikawa
KEYWORDS:
Factor Analysis, Likelihood Ratio Statistic, Maximum Likelihood Estimation
JOURNAL NAME:
Open Journal of Statistics,
Vol.5 No.6,
October
30,
2015
ABSTRACT:
In normal theory exploratory factor analysis, likelihood ratio (LR) statistic plays an important role in evaluating the goodness-of-fit of the model. In this paper, we derive an approximation of the LR statistic. The approximation is then used to show explicitly that the expectation of the LR statistic agrees with the degrees of freedom of the asymptotic chi-square distribution.