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Table 9 Fit indices of different models to check invariance in polytomous items

From: Confirmatory factor analysis and gender invariance of Persian version of the modified Yale food addiction scale (mPYFAS) 2.0: insight from a large scale Iranian sample

Model

\({\mathrm{\rm X}}^{2}\)

df

P

CFI

TLI

SRMR

RMSEA [CI 90%]

\(\Delta {\mathrm{\rm X}}^{2}\)

dfΔ

P

CFIΔ

TLIΔ

RMSEAΔ

RMRΔ

Configural model

3725.869

100

0.0001

0.956

0.951

0.038

[0.085–0.089] 0.087

–

–

–

–

–

–

–

Metric 1

2844.028

110

0.0001

0.967

0.967

0.039

[0.070–0.074] 0.072

44.260

10

0.0001

 − 0.011

 − 0.016

0.015

 − 0.001

Metric 2

2950.716

109

0.0001

0.965

0.965

0.039

[0.071–0.076] 0.074

26.395

9

0.0018

0.002

0.002

 − 0.002

0.000

Metric 3

3147.753

108

0.0001

0.963

0.962

0.038

[0.074–0.079] 0.077

14.683

8

0.0656

0.002

0.003

 − 0.003

0.001

Scalar 1

1555.588

172

0.0001

0.969

0.980

0.037

[0.055–0.061] 0.058

160.219

64

0.0001

 − 0.006

 − 0.018

0.019

0.001

Scalar 2

1502.196

171

0.0001

0.970

0.981

0.036

[0.054–0.060] 0.057

109.408

63

0.0003

 − 0.001

 − 0.001

0.001

0.001

Scalar 3

1456.417

170

0.0001

0.971

0.981

0.037

[0.053–0.059] 0.056

63.370

62

0.4278

 − 0.001

0.000

0.001

 − 0.001

Strict 1

1444.787

159

0.0001

0.971

0.980

0.035

[0.055–0.061] 0.058

–

–

–

0.000

0.001

 − 0.002

0.002

Strict 2

1456.417

170

0.0001

0.971

0.981

0.037

[0.053–0.059] 0.056

110.341

11

0.0001

0.000

 − 0.001

0.002

 − 0.002

Strict 3

1390.430

169

0.0001

0.973

0.982

0.036

[0.052–0.058] 0.055

71.817

10

0.0001

 − 0.002

 − 0.001

0.001

0.001

Strict 4

1353.148

168

0.0001

0.974

0.983

0.036

[0.052–0.057] 0.054

47.990

9

0.0001

 − 0.001

 − 0.001

0.001

0.000

Strict 5

1341.050

167

0.0001

0.974

0.983

0.036

[0.051–0.057] 0,054

35.850

8

0.0001

0.000

0.000

0.000

0.000

Strict 6

1342.876

166

0.0001

0.974

0.983

0.036

[0.052–0.057] 0,054

27.477

7

0.0003

0.000

0.000

0.000

0.000

Strict 7

1363.498

165

0.0001

0.973

0.982

0.035

[0.052–0.058] 0.055

21.556

6

0.0015

0.001

0.001

 − 0.001

0.001

Strict 8

1350.710

164

0.0001

0.973

0.982

0.035

[0.052–0.058] 0.055

11.180

5

0.0479

0.000

0.000

0.000

0.000

Strict 9

1348.300

163

0.0001

0.974

0.982

0.035

[0.052–0.058] 0.055

5.438

4

0.2452

 − 0.001

0.000

0.000

0.000

Variance

1066.472

164

0.0001

0.980

0.986

0.035

[0.045–0.051] 0.048

4.150

1

0.0416

 − 0.006

 − 0.004

0.007

0.000

Mean

1557.366

164

0.0001

0.969

0.979

0.037

[0.057–0.062] 0.059

59.600

1

0.0001

0.011

0.007

 − 0.011

 − 0.002