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Table 1 Testing for longitudinal measurement invariance with categorical data(Model Specification)

From: Factor structure and longitudinal measurement invariance of the K6 among a national representative elder sample of China

 

Factor loadings

Thresholds

Residual variances

Factor means

1 Configural invariance

(*

*)

Fixed at 1/1

Fixed at 0/0

2 Strong invariance

(Fixed

Fixed)

Fixed at 1/*

Fixed at 0/*

3. Strict invariance

(Fixed

Fixed)

Fixed at 1/1

Fixed at 0/*

  1. The asterisk (*) indicates that the parameter is freely estimated across time; Fixed = the parameter is fixed to equity over time points; Fixed at 1/1 = residual variances are fixed at 1 at both time points; Fixed at 1/* = the residual variances are fixed at 1 at time 1 and freely estimated at time 2; Fixed at 0/0 = factor means parameters are fixed at 0 at both time points; Fixed at 0/* = factor means parameters are fixed at 0 at time 1 and freely estimated at time 2. Parameters in parentheses need to be varied in tandem