Abstract
In this study, we examine factor analysis as a multivariate statistical tool, starting from the origin of factor analysis with regards to Spearman’s approach of 1904 to the three phases of factor analysis. This is done with a view of determining the similarities and individual contributions of each of the three phases of factor analysis. This was achieved by examining the algorithms used in parameter estimations of the three phases of factor analysis. By inputting data into the algorithms and examining their outcomes and proffering recommendations based on the respective findings. Keywords: generalized linear models, factor analysis, EM algorithm, generalized linear latent variable models DOI: 10.7176/MTM/11-3-01 Publication date: May 31 st 2021
Highlights
Factor analysis is a statistical technique used to describe the inconsistency among observed, correlated variables in relation to lower number of unobserved variables called factors
4 Results and Analysis the parameter estimates obtained for the three phases of factor analysis were evaluated using different sample sizes
The computational analysis of the simulated data for the parameters of the three phases of factor analysis were performed starting with the first phase
Summary
Factor analysis is a statistical technique used to describe the inconsistency among observed, correlated variables in relation to lower number of unobserved variables called factors It quests for combined variations in reaction to unobserved latent variables. This marked the beginning of the quantitative investigation of latent variables He thought originally that all inter correlation among mental tests could be explained by assuming one general factor, along with a unique factor in each test. The theory highlighted the presence of two classes of factors; General (with one member) and Specific (with a potentially infinite number) It stressed on the evaluation of empirical evidence on the tetrad difference criterion (i.e. on patterns in correlations among manifest variables) with no consideration of diagonal elements
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