Skip to main content

Advertisement

Table 3 Rejection frequency percentage (statistical power) of stage 1 in heterogeneous studies

From: A comparative study of the impacts of unbalanced sample sizes on the four synthesized methods of meta-analytic structural equation modeling

k \(\bar{n}\) Types Low heterogeneity (20%) High heterogeneity (50%)
UNIr UNIz MGLS TSSEM UNIr UNIz MGLS TSSEM
5           
  50 E 40.1 37.6 44.6 47.6 39.0 35.3 40.4 43.9
   M 34.6 37.0 36.2 45.8 39.3 25.4 46.1 33.5
   H 22.9 11.3 29.6 18.4 38.6 20.0 45.8 25.6
  100 E 61.4 51.8 65.1 58.6 76.4 74.1 80.4 81.2
   M 46.3 31.1 52.0 37.1 71.1 58.1 78.1 65.0
   H 40.6 23.5 44.8 26.2 60.0 38.1 69.9 46.7
  200 E 93.6 90.6 96.3 92.9 98.5 98.3 99.4 99.4
   M 77.3 64.9 84.8 72.0 97.6 93.6 98.5 96.8
   H 63.0 45.7 69.6 50.6 89.7 79.9 93.0 83.6
  500 E 100 100 100 100 100 100 100 100
   M 99.5 99.3 100 100 100 100 100 100
   H 96.9 93.2 98.7 95.2 99.9 99.9 100 100
10           
  50 E 45.0 36.6 47.2 44.4 57.8 59.3 59.6 67.7
   M 34.7 19.3 42.3 28.0 67.6 48.0 76.0 60.9
   H 32.5 14.4 40.0 23.0 63.0 39.9 76.7 57.5
  100 E 82.9 75.3 84.2 78.2 94.7 94.9 96.9 97.6
   M 63.9 47.1 73.9 56.1 93.6 86.1 96.3 92.1
   H 56.1 29.4 62.7 37.4 91.4 81.7 96.3 88.1
  200 E 99.5 99.0 99.6 99.3 100 100 100 100
   M 95.5 88.3 97.7 91.2 100 100 100 100
   H 86.4 69.7 90.3 72.9 99.8 99.5 100 99.9
  500 E 100 100 100 100 100 100 100 100
   M 100 100 100 100 100 100 100 100
   H 100 99.5 100 99.9 100 100 100 100
15           
  50 E 56.8 42.7 59.4 55.9 72.5 72.6 76.0 81.5
   M 45.5 25.1 47.2 36.0 75.8 53.6 79.0 68.9
   H 35.9 14.1 39.9 27.9 73.3 40.8 77.0 59.4
  100 E 94.0 88.3 95.0 90.7 99.0 99.3 99.4 99.5
   M 77.3 57.8 78.7 65.3 98.4 95.5 98.9 96.4
   H 63.8 37.4 65.5 44.7 96.8 88.9 97.7 92.9
  200 E 100 100 100 99.9 100 100 100 100
   M 98.7 94.8 99.2 97.4 100 100 100 100
   H 94.4 82.7 96.4 85.4 100 100 100 99.9
  500 E 100 100 100 100 100 100 100 100
   M 100 100 100 100 100 100 100 100
   H 100 100 100 100 100 100 100 100
  1. \(\bar{n}\) average sample sizes, k number of studies, UNIr univariate-r, UNIz univariate-z, MGLS modified generalized least squared, TSSEM two-stage structural equation modeling, E equally sized studies, M moderately unequal sized studies, H highly unequal sized studies