International Journal of Statistics and Applications
p-ISSN: 2168-5193 e-ISSN: 2168-5215
2016; 6(3): 145-155
doi:10.5923/j.statistics.20160603.07

Onoja M. Akpa , Rotimi F. Afolabi , Kayode R. Fowobaje
Department of Epidemiology and Medical Statistics, College of Medicine, University of Ibadan, Nigeria
Correspondence to: Onoja M. Akpa , Department of Epidemiology and Medical Statistics, College of Medicine, University of Ibadan, Nigeria.
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s Though the SDQ has been used in selected studies in Nigeria, its theoretical structure has not been fully and appropriately investigated in the setting. The present study employs Exploratory Factor Analysis (EFA) and Confirmatory Factor Analysis (CFA) to investigate the theoretical structure of the self-reported version of the SDQ in a sample of adolescents in Benue state, Nigeria. A total of 1,244 adolescents from different categories of secondary schools in Makurdi and Vandekya Local government areas of Benue state participated in the study. Preliminary data analyses were performed using descriptive statistics while the theoretical structure of the SDQ was assessed using EFA and CFA. Model fits were assessed using Chi-square test and other fit indices at 5% significance level. Participants were 14.19±2.45 (Vandekya) and 14.19±2.45 (Makurdi) years old. Results of the EFA and CFA revealed a 3-factor oblique model as the best model for the sample of adolescents studied
with all fit indices yielding better results. A correlated 3-factor model fits the present data better than the 5-factor theoretical model of the SDQ. The use of the original 5-factor model of the SDQ in the present setting should be interpreted with caution.
Keywords: Adolescents, Exploratory factor analysis, Confirmatory factor analysis, Strengths and difficulties questionnaire, Factor structure
Cite this paper: Onoja M. Akpa , Rotimi F. Afolabi , Kayode R. Fowobaje , Psychometric Properties and Confirmatory Structure of the Strengths and Difficulties Questionnaire in a Sample of Adolescents in Nigeria, International Journal of Statistics and Applications, Vol. 6 No. 3, 2016, pp. 145-155. doi: 10.5923/j.statistics.20160603.07.
was entered into the following formula (Björnsdotter et al., 2013; Gadermann et al., 2012), where k is the number of items in the scale:
Using the data extracted for Vandekya LGA, two Exploratory Factor Analyses (EFA) were conducted using IBM SPSS Statistics, version 20. The first was to assess the SDQ measurement model and how each item loaded onto their respective subscales and the other was to investigate the EFA model suggested by the data. Prior to EFA, the Kaiser-Meyer-Olkin measure of sampling adequacy and the Bartlett’s test of sphericity were conducted to indicate if the data were appropriate for EFA (Akpa et al., 2015; Liau, et.al, 2011; Pinterits et.al, 2009). Exploratory Factor Analysis was conducted using Principal-axis factoring extraction with a direct oblimin rotation. The factor pattern coefficients for the SDQ items were computed along with their communalities, eigenvalues and the percentage of variance explained by the extracted factors. In the second EFA, the scree plot, eigenvalues, the factor pattern coefficients, and the percentage of variance explained by the extracted factors were used to determine the number of factors that best fits the data. Items should preferably load ≥0.40 (in absolute value) on the relevant factor and <0.40 on all other factors (Akpa et al., 2015; Liau et.al, 2011; Yang & Montgomery, 2011).Subsequent on the outcome of the first EFA, the fit of the Goodman’s (five factors) theoretical model of the SDQ (5-factor) was investigated using series of confirmatory factor analysis (CFA) models in AMOS version 21. The Goodman’s (5-factor) theoretical model of the SDQ was tested against a 5-factor orthogonal model; a one-factor model having all 25-items loading on a single factor and a 5-factor second-order model having all factors (except the Prosocial Behavior scale) subordinated to a single second-order factor. Consequent on the outcome of the second EFA, another series of CFA models of the SDQ was also investigated. A 3-factor oblique model, a 3-factor orthogonal model and a 3-factor second-order model having the first two factors (consisting of only items from the four subscales constituting difficulties) subordinated to a single second-order factor model were investigated. In each CFA model, multiple indices and their respective cut-off were used to evaluate the global model fit to the data. In particular, the Chi-square test divided by the degrees of freedom (df) should be less than
and the Root Mean Square Error of Approximation (RMSEA) is ≤ 0.06. The Goodness of Fit Index (GFI), the Tucker-Lewis Index (TLI), the Comparative fit index (CFI), the Incremental Fit Index (IFI) is greater than 0.8 while the Normed Fit Index (NFI) is greater than 0.7. Also, the Consistent AIC (CAIC), the Bayesian Information Criterion (BIC) and the Expected Cross Validation Index (ECVI) were as well used for model comparisons, with smaller values indicating a better fit (Akpa et al., 2015; Akpa & Unuabonah, 2011; Yang & Montgomery, 2011). All analysis was carried out at 95% confidence level.![]() | Table 1. Socio-demographic characteristics of respondents |
![]() | Table 2. Response distribution and descriptive characteristics at item level |
![]() | Table 3. Communalities, Pattern Matrix for the Theoretical 5-Factor structure of the SDQ |
![]() | Table 4. Communalities, Pattern Matrix of the 3-Factor (oblique) structure of the SDQ |
![]() | Table 5. Factor Correlations, Descriptive statistics and Reliabilities coefficients of the 5 Subscales and 3-factor model of the SDQ |
![]() | Table 6. Summary of Fit Indices of the Confirmatory Factor Analyses |
![]() | Figure 3. Standardized estimates for the competing 3-factor (21-item SDQ) |