Skip to main content

Table 2 Fit statistics for testing invariance of second-order factor model of QLT across cohorts

From: Standards-based mathematics curricula and the promotion of quantitative literacy in elementary school

Model

χ 2

df

CFI

SRMR

RMSEA (90 % CI) (pclose)

Model comparison

ΔCFI

Δχ 2

Δdf

Model 1 configural invariance

577.12***

135

0.942

0.056

0.036 (0.033–0.039) (1.00)

–

   

Model 2 first-order factor loadings invariant

618.31***

153

0.939

0.061

0.035 (0.032–0.038) (1.00)

2 vs. 1

0.003

41.19***

18

Model 3 first- and second-order factor loadings invariant

621.67***

157

0.940

0.061

0.034 (0.032–0.037) (1.00)

3 vs. 2

0.001

3.36

4

Model 4 first- and second-order factor loadings and structural variances invariant

623.68***

159

0.940

0.062

0.034 (0.031-0.037) (1.00)

4 vs. 3

0.000

2.02

2

Model 5 first- and second-order factor loadings, structural variances, and structural residuals invariant

628.66***

165

0.940

0.062

0.034 (0.031–0.036) (1.00)

5 vs. 4

0.000

4.98

6

Model 6 first- and second-order factor loadings, structural variances, structural residuals, and measurement residuals invariant

713.26***

201

0.933

0.062

0.032 (0.029–0.035) (1.00)

6 vs. 5

0.007

84.98***

36

  1. *** p < 0.001