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Table 2 Multigroup CFA/SEM measurement invariance configural model fit indices

From: Four-dimensional hierarchical structure of love constructs in a cross-cultural perspective

Model

Description

χ2

BIC

df

CFI

RMSEA [90% CI]

SRMR

1

Baseline

17133.907

281377.878

6606

0.817

. 088 [.086, .090]

.064

2

Controlling for response setsa

18778.581

272117.871

7254

0.828

.087 [.086, .089]

.062

3

Removing Turkey sample

16856.649

256963.258

6448

0.834

.088 [.086, .089]

.060

4

Removing Turkey and Iran samples

14605.926

228251.704

5642

0.840

.088 [.086, .089]

.057

5

Removing Turkey, Iran, and Midwest samples

12712.719

214411.701

4836

0.844

.086 [.084, .088]

.057

6

Removing Turkey, Iran, Midwest, and Brazil samples

10653.304

182703.263

4030

0.845

.086 [.084, .087]

.056

7

Removing items with ≥ 6 sig. differencesb

13040.926

225428.550

4923

0.849

.090 [.088, .091]

.062

8

Removing items with ≥ 5 sig. differencesb

10374.024

203776.410

4059

0.866

.088 [.086, .090]

.059

9

Model 2 including 2 higher-order latent factorsc

18662.204

272474.078

7209

0.828

.087 [.086, .089]

.062

10

Model 7 including 2 higher-order latent factorsc

12921.780

225784.937

4878

0.849

.090 [.088, .092]

.062

11

Model 8 including 2 higher-order latent factorsc

10259.014

204132.863

4014

0.866

.089 [.087, .091]

.059

12

ESEM model not controlling for response sets

16983.637

278909.593

6966

0.822

.085 [.083, .086]

0.451

13

ESEM model controlling for response sets

19546.090

270829.735

7614

0.816

.088 [.086, .089]

0.346

  1. a Models 3–11 and model 13 control for response sets (acquiescence and extreme responding). b These significant differences were determined based on MIMIC model significant regression coefficients across dummy-coded grouping variables (see Table 1 of Supplementary Materials). c The two higher-order latent factors are (1) feelings towards the partner and (2) feelings about the relationship. χ2 = robust χ2 test of global fit (equivalent to Yuan-Bentler corrected test statistic). Measures of CFI and RMSEA are based on robust estimates for nonnormal data (Brosseau-Liard et al., 2012; Brosseau-Liard & Savalei, 2014)