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Table 3 Measurement invariance for the subgroup gender

From: Measuring financial literacy with a Situational Judgement Test: do some groups really perform worse or is it the measuring instrument?

Model Control Budgeting Handling
Δ DF Δ CMIN p ΔDF Δ CMIN P Δ DF Δ CMIN p
Configural χ2 = 61.07, p = .098, df = 48, CFI = .95; RMSEA = .037, Pclose = .778 χ2 = 41.103, p = .008, df = 22, CFI = .94; RMSEA = .066, Pclose = .185 χ2 = 36.555, p = .006, df = 18, CFI = .89; RMSEA = .072, Pclose = .131
Metric 9 11.352 0.252 7 7.379 0.39 6 10.961 0.09
χ2 = 72.422, p = .082, df = 57, CFI = .94; RMSEA = .037, Pclose = .801 χ2 = 48.483, p = .013, df = 29, CFI = .94; RMSEA = .058, Pclose = .298 χ2 = 47.516, p = .003, df = 24, CFI = .86; RMSEA = .07, Pclose = .122
Partial metric 5 6,629 0.25
χ2 = 43.184, p = .007, df = 23, CFI = .89; RMSEA = .066, Pclose = .175c
Scalar 18 29.29 0.045 14 21.937 0.08 10 18.273 0.051
χ2 = 90.36, p = .025, df = 66, CFI = .90; RMSEA = .043, Pclose = .686 χ2 = 63.041, p = .004, df = 36, CFI = .91; RMSEA = .061, Pclose = .214 χ2 = 54.828, p = .002, df = 28, CFI = .84; RMSEA = .069, Pclose = .116
Partial scalar 17 25.631 0.081 13 18.418 0.142 9 15.795 0.071
χ2 = 86.701, p = .002, df = 65, CFI = .91; RMSEA = .041, Pclose = .736a χ2 = 59.521, p = .006, df = 35, CFI = .92; RMSEA = .059, Pclose = .259b χ2 = 52.35, p = .002, df = 27, CFI = .85; RMSEA = .069, Pclose = .128 d
Strict 26 53.378 0.001 20 29.385 0.08 15 45.52  < .001
χ2 = 114.448, p = .002, df = 74, CFI = .91; RMSEA = .052, Pclose = .398 χ2 = 70.489, p = .004, df = 42, CFI = .91; RMSEA = .058, Pclose = .265 χ2 = 82.075, p < .001, df = 33, CFI = .72; RMSEA = .086, Pclose = .007
  1. aIntercepts are freely estimated for Item 7
  2. bIntercepts are freely estimated for Item 5
  3. cFactor loadings are freely estimated for Items 6
  4. dIntercepts are freely estimated for Item 6