Confirmatory Factor Analysis Sample Clauses

Confirmatory Factor Analysis.Β No further items were omitted during CFA. The factor loadings for the final 38 items in each of the three measures were sufficiently large (>0.3). The statistical model fit for the handwashing at key times measure had a weak RMSEA (0.114; CI 0.097-0.132), but moderate CFI (0.934) and TLI (0.921). The RMSEA for the hygienic food preparation and storage model was more moderate (0.098; CI 0.070-0.127), but CFI and TLI were weaker (CFI=0.886, TLI=0.848). Model fit for the provision of safe play environment measure was statistically moderate for RMSEA and strong for CFI and TLI (RMSEA=0.080, CI 0.057-0.103; CFI=0.978; TLI=0.972). All three measures demonstrate strong theoretical significance.
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Confirmatory Factor Analysis.Β β€Œ RQ3 asks, What measurement model best describes student experience of school climate in Kazakhstan? To answer this question, this study makes use of confirmatory factor analysis. Confirmatory factor analysis (CFA) and structural equation modelling (SEM) were adopted as a general technique in this study to assess the validity of the substantive theory in the field school climate and student achievement. A two-step approach involving the specification of separate measurement and structural models was undertaken (Xxxxxxxx & Xxxxxxx, 1988). Both CFA and SEM were undertaken with the assistance of the R lavaan package (Rosseel, 2012). Minimum standardized item-factor loadings were set at b = .40 (Ab Xxxxx, Xxxx, & Xxxxxx Xxxxx, 2017). Inter-factor correlations (r) were also interpreted alongside the shared variance (r2). Further, the average variance extracted (AVE) was calculated in accordance with βˆ‘π‘˜ πœ†2 𝐴𝑉𝐸 = 𝑖=1 𝑖 βˆ‘π‘˜ πœ†2+βˆ‘π‘˜ π‘‰π‘Žπ‘Ÿ(𝑒𝑖) 𝑖=1 𝑖 𝑖=1 where, π‘˜ is the number of items, πœ†2 is the item-factor loading of item 𝑖 and π‘‰π‘Žπ‘Ÿ(𝑒𝑖) is the variance of the error of item 𝑖, where, 𝑖 π‘‰π‘Žπ‘Ÿ(𝑒𝑖) = 1 βˆ’ (πœ†2) [2] To demonstrate convergent validity, AVE values for each construct should generally exceed .50 (Xx Xxxxx et al., 2017) and the related inter-factor variance should be less than the average variance extracted (r2) < AVE. An inter-factor correlation matrix was also presented for the factors in the measurement model. The dependent variables, namely, PVMMATH, PVMSCIE, and PVMREAD, were also included so as to interpret the bivariate relationships between these variables. The CR reliability coefficient is used to determine the reliability of a single scale. The composite reliability (πœŒπ‘) of a single scale can be calculated as follows, πœŒπ‘ = π‘˜ (βˆ‘ 𝑖=1 𝑖=1 πœ†π‘–)2 [3] (βˆ‘ π‘˜ 𝑖=1 πœ†π‘–)2+βˆ‘π‘˜ π‘‰π‘Žπ‘Ÿ(𝑒𝑖) To demonstrate convergent validity the related inter-factor variance should be less than the AVE, and the CR should be above .70 (Xx Xxxxx et al., 2017). From within a confirmatory framework, researchers are well-advised to report and consider multiple-model fit indices including the Ο‡2/df ratio (under 3.83) and associated non statistically significant p value Xxxxxx (2013), SRMR (below .08) (Xx & Xxxxxxx, 1999), RMSEA (below .08) Xxxxxx and Xxxxxx (1989, 1992) and Xxxxx (2001), CFI (above .90) and TLI (above .90) (Xxxxx, 1995)., and gamma hat (above .90) when considering model fit (Xxxxx, 2001). In addition, based on their popularity, the ...

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