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Table 5 Model fit indices for single group and multiple group confirmatory factor analytic models

From: Consumer Assessment of Healthcare Providers and Systems (CAHPS®) survey of experiences with ambulatory healthcare for Asians and non-Hispanic Whites in the United States

  Free Parameters Chi-Square Test of Model Fit Degrees of Freedom P Root Mean Square Error of Approximation Comparative Fit Index Tucker-Lewis Index
Single group
 Asian Americans 54.00 702.08 87.00 0.00 0.037 0.991 0.989
 Non-Hispanic Whites 54.00 17,993.25 87.00 0.00 0.031 0.994 0.992
Multiple Group, WLSMVa
 Configural 108.00 18,326.90 174.00 0.00 0.031 0.993 0.992
 Metric 96.00 15,416.08 186.00 0.00 0.027 0.994 0.994
 Scalar 63.00 15,885.50 219.00 0.00 0.025 0.994 0.995
Multiple Group, WLSMVb
 Configural 108.00 18,326.90 174.00 0.00 0.031 0.993 0.992
 Metric 93.00 11,889.05 189.00 0.00 0.024 0.996 0.995
 Scalar 57.00 14,248.89 225.00 0.00 0.024 0.995 0.995
Multiple Group, MLRa
 Configural 96.00 33,147.88 174.00 0.00 0.041 0.945 0.933
 Metric 84.00 32,773.24 186.00 0.00 0.040 0.945 0.938
 Scalar 72.00 33,976.08 198.00 0.00 0.039 0.943 0.940
Multiple Group, MLRb
 Configural 96.00 33,147.88 174.00 0.00 0.041 0.945 0.933
 Metric 81.00 32,627.64 189.00 0.00 0.039 0.945 0.939
 Scalar 66.00 34,865.43 204.00 0.00 0.039 0.942 0.940
  96.00 61,099.59 174.00 0.00 0.056 0.950 0.939
84.00 61,359.40 186.00 0.00 0.054 0.950 0.943
72.00 61,858.19 198.00 0.00 0.053 0.949 0.946
  96.00 61,099.59 174.00 0.00 0.056 0.950 0.939
81.00 61,963.07 189.00 0.00 0.054 0.949 0.943
66.00 63,750.85 204.00 0.00 0.053 0.948 0.946
  1. WLSMV Weighted least squares, mean and variance adjusted, MLR Maximum likelihood robust, ML Maximum likelihood
  2. aFactor means fixed to 0 in both groups and factor variances fixed to 1 in one group and freed in the second group
  3. bFactor means fixed to 0 and factor variances fixed to 1 in both groups
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