Skip to main content
. 2015 Dec 17;93(1):213–232. doi: 10.1007/s11524-015-9959-y

TABLE 2.

Fit statistics for confirmatory factor analysis models of neighborhood socio-economic status, testing levels of time-invariance

Model Chi-square (df) RMSEA CFI ΔCFI
A1: Configural invariance, 9 indicator variablesa 73,527 (294) 0.062 0.875 NA
B1: Configural invariance, 5 indicator variablesb 17,118 (72) 0.060 0.966 NA
B2: Model B1 with correlated errorc 15,122 (69) 0.058 0.970 +0.004
B3: Model B2 with weak invarianced 20,068 (77) 0.063 0.960 −0.010
B4: Model B3 with strong invariancee 86,023 (85) 0.125 0.829 −0.131
C1: Model B4 with intercepts correctedf 21,090 (85) 0.063 0.958 NA

Notes: df degrees of freedom, RMSEA root mean square error of approximation, CFI comparative fit index, ΔCFI change in comparative fit index, CFA confirmatory factor analysis

aModel A1 is a CFA model estimated using 9 indicator variables for the socio-economic status of U.S. census tracts (i.e., household income, educational level, housing unit value, and proportions of poverty, unemployment, professional/managerial occupations, public assistance, female-headed households, and crowded housing)

bModel B1 is a CFA model estimated using five indicator variables (i.e., household income, educational level, and proportions of poverty, unemployment, and female-headed households)

cModel B2 adds to model B1 a correlation of the residual error terms for poverty and household income

dModel B3 adds to model B2 the constraint that factor loadings for respective indicators are equal over time

eModel B4 adds to model B3 the constraint that the intercepts for respective indicators are equal over time

fModel C1 estimates model B4 using data on the five indicator variables that corrects for strong invariance