To simplify many intercorrelated measures into a few representative constructs or factors is the goal of factor analysis (
Ho, 2006). This is accomplished through the process of factor analysis. It makes it possible for a researcher to reduce many variables to a smaller number of variables. Therefore, factor analysis is a method of collecting and analyzing data. When conducting factor analysis, it is presumed that all variables are connected to one another to a certain extent. Consequently, it follows that variables that have dimensions that are similar should have a high degree of correlation, whereas variables that have dimensions that are different should have a low degree of correlation. These high and low correlation coefficients become very clear in the correlation matrix as variables with similar dimensions “hang” together (
Ho, 2006, p. 203). This is because the correlation matrix is very clear.
A researcher may choose to use either the Q-mode or the R-mode for factor analysis after giving it a lot of thought. The rows are what a Q-mode factor analysis looks at, which cuts down on the amount of data. The R-mode factor analysis, on the other hand, looks at the columns, which means there are fewer variables. Some people say that R-mode factor analysis is the most popular method because most researchers want to cut down on the number of variables in a study so that it is easier to handle (
Abiola & Udofia, 2011). The R-mode factor analysis was used for this study.
The intercorrelations between variables are sufficiently strong for factor analysis is demonstrated by the Kaiser–Meyer–Olkin (KMO) measure of sampling adequacy value which is 0.850 which is presented in the
Table 4. There is significant difference between the observed and expected values of correlation coefficients, which indicates that the correlation matrix is not an identity matrix and that factor analysis is appropriate. This conclusion is supported by the Barlett’s Test of Spehericity, which also yields a very significant statistic (
p < 0.001).
According to the findings of the KMO and Bartlett’s test (
Table 4), the data were sufficient for factor analysis. The high KMO value demonstrates that the sample is adequately representative, and the results of Bartlett’s test demonstrate that the variables are sufficiently connected to identify the factors that lie beneath the surface. Therefore, you can confidently proceed with or interpret the factor analysis results, knowing that your data is well-suited for this type of analysis.
5.3.1. Communalities
The communality of each variable is presented in
Table 5. This refers to the percentage of variance in each variable that can be attributed to the factors that are shared by all respondents (
Ho, 2006). By calculating the communalities, one can determine the extent to which the extracted factors have been able to account for the variance in the variable.
The proportion of variance that can be assigned to the common factors is equal to one for each variable, as can be shown in
Table 5. This is the case for all variables simultaneously. A cut-off point of 1 was utilized by the researcher in the process of identifying relevant variables. This was done in order to ensure that the process was carried out correctly. A consequence of this is that variables that have an eigen value that is higher than 0.50 are considered to be significant factors for the purpose of conducting additional analysis in this study. (Note: Items were evaluated using two criteria to evaluate similar features for both communalities at least 0.50 and for at least one of the rotated factor loadings of the items onto one of the component factors as being 0.50 or greater according to the PCA (principal components analysis) procedure. Of the 41 items entered the PCA, 23 did not meet one or both criteria and so were dropped from the analysis. Only 18 items remained in each of the three composites, as follows: Economic (6), Governance and Ethical (5), Society and Community (4), and Environmental and Sustainability (3) dimensions; these were used in the development of composite scores and for hypothesis testing. The individual retained items and their associated rotated factor loadings can be viewed further.)
The conclusion of the factor analysis, which is based on Principal Component Analysis (PCA), offers information about the percentage of variance that can be attributed to the factor solution for each variable. This means that all the variance of a variable can be assigned to at least one of the extracted factors. The initial communalities have been set at one, which indicates that this is the case. The extraction communalities provide an indication of the percentage of the total variance for a certain variable that can be attributed to the factor solution.
Many variables are consistently associated with each other—meaning they will have common variance—meaning extracted factor scores will provide a clear representation of those variables. For instance, G&L CSR1 has an extraction communality of 0.817 or 81.7% of the variance in G&L CSR1; this is explained by the factor model and G&L CSR5 the highest level of extraction communality at 0.837 or 83.7% of the variance in G&L CSR4; this is explained by the factors that make up the model. Other good examples include Eco CSR 4 with an extraction communality at 0.941, and S&E CSR1 with an extraction communality of 0.738, both showing a strong connection or correspondence to the underlying factor structure.
Alternatively, several variables, such as G & L CSR 6 (0.525), Eco CSR 1 (0.517), G & L CSR 10 (0.502), S & E CSR 7 (0.507), and ENV CSR 9 (0.409), show lower communalities, which indicates that these variables do not strongly relate to the extracted factors. As a result, there could be large amounts of unique variance or variance from outside the present model for these variables.
Using PCA as the analytic procedure, the dataset of 41 items produced four components, each with eigenvalues above 1.0, which supports the Kaiser criterion (
Kaiser, 1974) and the scree plot inflection point. Collectively, these four components account for 77.071% of the total variance of the dataset as presented in
Table 6, suggesting a high degree of reliability and a parsimonious factor solution. Prior to rotation, the variance explained by Component 1 (54.306%) dominated the data. This is commonly observed with attitudinal data, where a general factor is released from an analysis. Following application of the Varimax rotation, the variance explained is more evenly dispersed across the four components as referred in
Table 6; Component 1 was explained 42.260%, Component 2 = 12.438%, Component 3 = 11.546%, and Component 4 = 10.827%. Not only did the total variance (77.071%) remain the same following the Varimax rotation, but the cumulative variance explained by each component indicates that they have meaning as distinct conceptual dimensions and are not artifacts of the solution.
5.3.2. Rotated Component Matrix
The factor loadings for all 41 items used in the PCA are included in the rotated component matrix (
Table 7). Two sequential screening criteria were used to identify the final set of retained items. First, any item that had a communality below 0.50, meaning less than half of its variance could be attributed to the factor solution, was flagged for removal. Second, all remaining items with rotated factor loadings below 0.50 on their primary component, or with cross-loadings of similar magnitude on more than one component, were eliminated because they do not produce a sufficiently distinct signal for any one factor.
Applying these criteria to the whole 41-item pool, 23 things were eliminated and 18 items were retained in the four components as follows: Factor 1 (Economic and Profitability): 6 items maintained from original 7 (Economic CSR1 was eliminated; communality = 0.517, loading = 0.417); Factor 2 (Governance and Ethical): 5 items retained from original 11 (G&L CSR3, 6, 7, 8, 10, 11 were eliminated due to loadings below 0.50); Factor 3 (Society and Community Development): 4 elements retained from an original 10 (S&E CSR2, 3, 4, 6, 7, 8 were deleted due to loadings below 0.50); Factor 4 (Environmental and Sustainability) Retained: 3 items from 13 (ENV CSR1, 2, 4, 5, 6, 7, 8, 9, 11, 12 removed due to low communalities or loadings (<0.50)).
Table 8 illustrates the 18 items that have been retained and their associated rotated factor loadings (Factor Reconstruction). After that, the mean composite scores for each of the factors were computed by using just the items that were maintained. These items were used as the independent variables for the correlation and regression analyses that were provided in
Section 5.4 and
Section 5.5. The relabeling of factors from the theoretical a priori labels (Economic, Governance and Legal, Social and Ethical, Environmental) to the empirically derived labels (Economic and Profitability, Governance and Ethical, Society and Community Development, Environmental and Sustainability) is indicative of the item content of each retained set and does not indicate an alteration in the theoretical constructs being tested in H
1-H
4.