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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