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Table 2 Confirmatory factor analysis (CFA) and measurement invariance (MI) model fit

From: A translation and validation of the Perceived Political Self-Efficacy (P-PSE) Scale for the use in German samples

Model

χ2 (df)

CFI

RMSEA [90% CI]

SRMR

Model comparison

Decision

Ref.

Δχ2df)

ΔCFI

ΔRMSEA

ΔSRMR

CFA 1: Full scale

103.58* (35)

0.993

0.044 [0.034, 0.054]

0.048

-

-

-

-

-

Accept

CFA 2: Short scale

4.34 (2)

0.999

0.034 [0.000, 0.078]

0.022

-

-

-

-

-

Accept

Invariance

 MI 1: configural

185.20* (70)

0.996

0.035 [0.029, 0.041]

0.036

-

-

-

-

-

Accept

 MI 2: metric

603.73* (79)

0.981

0.070 [0.065, 0.076]

0.064

MI 1

418.53* (9)

0.015

0.035

0.028

Reject

 MI 2a: partial metric

431.67* (78)

0.987

0.058 [0.053, 0.064]

0.054

MI 1

246.47* (8)

0.009

0.023

0.018

Accept

 MI 3: scalar

1331.43* (87)

0.954

0.103 [0.099, 0.108]

0.088

MI 2a

899.76* (9)

0.033

0.045

0.034

Reject

 MI 3a: partial scalar

593.78* (84)

0.981

0.067 [0.062, 0.072]

0.061

MI 2a

162.11* (6)

0.006

0.009

0.007

Accept

 MI 4: residual

682.74* (94)

0.978

0.068 [0.064, 0.073]

0.067

MI 3a

88.96* (10)

0.003

0.001

0.006

Accept

  1. Note. CFA: N = 1025; MI: n1 = 1025; n2 = 1654. We did not consider the χ2 test for model rejection, because its sensitivity increases with sample size: In large samples—as is the case in this study—even small model–data discrepancies produce significant results (Bollen & Long, 1993; Cheung & Rensvold, 2002)
  2. CFI comparative fit index, RMSEA Root Mean Square Error of Approximation, SRMR Standardized Root Mean-square Residual, Ref. reference model
  3. *p < 0.001