The effect of different sample sizes on the results of the general exploratory and confirmatory analysis

Abstract

This research aims to study the effect of factor sizes at (150-200-300-400-500-700-800-900) on the results of the Exploratory and Confirmatory Factorial Analysis, the extracted factors - adequacy of the sample for factor analysis) of the scores of pupils on the Stanford Binet scale to determine the appropriate sample size for the scale and rely on it to make accurate decisions towards the phenomenon studied. The results indicated the presence of two factors whose Eigen Value exceeds one in the samples. the increase in the sample size does not increase in the indicators of suitability, as the exploratory factorial analysis in its study of the sample depends on the nature of the relationships between the variables within the sample and not only on the numerical increase in the sample size. The Communality values of the different sample sizes are very close in all samples and this indicates that small samples with higher prevalence values can be adopted. the higher the number of high Loadings, and the higher the height of these Loadings on the factor, the factors retain their stability and stability when the sample size decreases.