Principal Component Factor Analysis of Some Development Factors in Southern Nigeria and Its Extension to Regression Analysis
Nnaemeka Martin Eze, Oluchukwu Chukwuemeka Asogwa, Chinonso Michael Eze
Journal of Advances in Mathematics and Computer Science · pp. 132–160 · Published 24 Apr 2021
10.9734/jamcs/2021/v36i330351Abstract
This study was conducted to evaluate some development factors in Southern Nigeria in order to ascertain common factors that explained the interrelationships among them and identify best cities for recommendation. A total sample of 250 cities from different states in three geopolitical zones in Southern Nigeria was used in this study and 11 development factors were considered. Kaiser-Meyer-Olkin (KMO) of (> 0.5) was computed to test the sampling adequacy; Bartlett’s Test of Sphericity (Significant at 0.001) was conducted to test whether the correlation between the variables are sufficiently large for factor analysis; correlation matrix was computed to confirm the inter-item correlation. In this analysis, principal component factor analysis was the factor extraction method. Varimax rotation technique was used for factor rotation. The result showed that three new factors with eigenvalues greater than 1 were successfully constructed. The three new factors accounted for 71.63% of total variance in the dataset and assigned as the common factors influencing sustainable development in Southern Nigeria. The communalities results ranging from 0.32-0.88 depicted that factor model was adequate. The results of factor analysis were extended to multiple regression analysis. The multiple regression model was fitted using development scores as dependent variable and rotated factors as independent variables. The coefficient of determination,, for the regression model was 99% and this shows that the model is adequate to evaluate the Southern Nigerian cities. The higher the estimated development scores, the better a city. Tolerance and VIF values showed that there was no multicollinearity in the regression model.
References (37)
- 1 Using multivariate statistics
- 2 Discovering Statistics Using SPSS
- 3 An analysis of variance test for normality (complete samples) [DOI]
- 4 Discovering Statistics Using Ibm Spss Statistics
- 5 An Index of Factorial Simplicity [DOI]
- 6 The Application of Electronic Computers to Factor Analysis [DOI]
- 7 Applied Multivariate Statistical Analysis. [DOI]
- 8 A Second Generation Little Jiffy [DOI]
- 9 Normality Tests for Statistical Analysis: A Guide for Non-Statisticians [DOI]
- 10 A Guide to Econometrics
- 11 Applied Regression Analysis [DOI]
- 12 An Easy Guide to Factor Analysis [DOI]
- 13 A Beginner’s Guide to Factor Analysis: Focusing on Exploratory Factor Analysis [DOI]
- 14 THE APPLICATION OF EXPLORATORY FACTOR ANALYSIS IN APPLIED PSYCHOLOGY: A CRITICAL REVIEW AND ANALYSIS [DOI]
- 15 Generalized Inverses, Ridge Regression, Biased Linear Estimation, and Nonlinear Estimation [DOI]
- 16 Understanding and Using Factor Scores: Considerations for the Applied Researcher [DOI]
- 17 Comparisons of various types of normality tests [DOI]
- 18 Discarding Variables in a Principal Component Analysis. I: Artificial Data [DOI]
- 19 Statistical Methods for Geography [DOI]
- 20 Dictionary of Statistics and Methodology: A Nontechnical Guide for the Social Sciences [DOI]
- 21 Overview of Factor Analysis
- 22 Discarding Variables in a Principal Component Analysis. II: Real Data [DOI]
- 23 Multicollinearity in Regression Analysis: Comment [DOI]
- 24 Comparing squared multiple correlation coefficients: Examination of a confidence interval and a test significance. [DOI]
- 25 Prospects for Achieving Sustainable Development Through the Millennium Development Goals in Nigeria. [DOI]
- 26 Using factor scores in multiple linear regression model for predicting the carcass weight of broiler chickens using body measurements
- 27 USING OF FACTOR ANALYSIS SCORES IN MULTIPLE LINEAR REGRESSION MODEL FOR PREDICTION OF KERNEL WEIGHT IN ANKARA WALNUTS
- 28 The Use of Principal Component Factor Analysis to Interpret Particulate Compositional Data Sets [DOI]
- 29 The Future of Freedom in the Developing World: Economic Development As Political Reform
- 30 Using Factor Analysis to Study the Critical Success Factors of Agile Software Development [DOI]
- 31 Comparison of Some Common Tests for Normality
- 32 Use of factor scores for determining the relationship between body measurements and semen traits of cocks [DOI]
- 33 Developing health status index using factor analysis [DOI]
- 34 On the Modeling of the Effects of COVID-19 Outbreak on the Welfare of Nigerian Citizens, Using Network Model [DOI]
- 35 Psychological Measurement a Hundred and Twenty-Five Years Later [DOI]
- 36 Study on consumer decision making in rural tourism based on factor analysis model.
- 37 Methods of multivariate analysis [DOI]
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