Interpreting the likelihood ratio statistic in factor models when sample size is small

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Journal Article
Journal of the American Statistical Association, 1980, 75 (369), pp. 133 - 137
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The use of the likelihood ratio statistic in testing the goodness of fit of the exploratory factor model has no formal justification when, as is often the case in practice, the usual regularity conditions are not met. In a Monte Carlo experiment it is found that the asymptotic theory seems to be appropriate when the regularity conditions obtain and sample size is at least 30. When the regularity conditions are not satisfied, the asymptotic theory seems to be misleading in all sample sizes considered. © 1980, Taylor & Francis Group, LLC.
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