Table 7 Testing for structural invariance across demographic variables.

From: A study on the cross-lagged relationships between adolescents’ sport participation and self-control ability and mental health

Demographic variables

χ2/df

CFI

ΔCFI

TLI

ΔTLI

SRMR

RMSEA (90%CI)

Gender (male/female)

 Unconstrained

1.111

0.999

0.998

0.015

0.009 (0.000–0.024)

 Structural weights

0.985

1.000

0.001

1.000

0.002

0.023

0.000 (0.000–0.019)

 Structural covariances

1.507

0.994

− 0.005

0.991

− 0.007

0.034

0.020 (0.009–0.029)

 Structural residuals

1.493

0.993

− 0.006

0.991

− 0.007

0.032

0.019 (0.010–0.028)

School stage (middle school/high school)

 Unconstrained

1.277

0.998

0.995

0.021

0.015 (0.000–0.028)

 Structural weights

1.064

0.999

0.001

0.999

0.004

0.024

0.007 (0.000–0.021)

 Structural covariances

1.493

0.994

− 0.004

0.991

− 0.004

0.032

0.019 (0.009–0.029)

 Structural residuals

1.594

0.991

− 0.007

0.989

− 0.006

0.032

0.021 (0.013–0.029)

Residence type (rural/urban)

 Unconstrained

1.112

0.998

0.997

0.013

0.009 (0.000–0.024)

 Structural weights

0.951

1.000

0.002

1.000

0.003

0.020

0.000 (0.000–0.018)

 Structural covariances

1.865

0.992

− 0.006

0.993

− 0.004

0.030

0.026 (0.017–0.034)

 Structural residuals

1.836

0.991

− 0.007

0.994

− 0.003

0.032

0.025 (0.018–0.033)

Sports type (individual sports/team sports)

 Unconstrained

1.892

0.994

0.984

0.022

0.026 (0.015–0.037)

 Structural weights

1.691

0.993

− 0.001

0.988

0.004

0.024

0.023 (0.013–0.032)

 Structural covariances

1.962

0.989

− 0.005

0.983

− 0.001

0.025

0.027 (0.019–0.035)

 Structural residuals

1.893

0.987

− 0.007

0.984

0.000

0.029

0.026 (0.019–0.034)