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Table 4 Differential item functioning of the cohesion and adaptability factors

From: Evaluation of the psychometric properties of the family adaptability and cohesion scale (FACES III) through item response theory models in students from Chile and Colombia

Ítem

Chile

Colombia

AIC

SABIC

HQ

BIC

χ2

df

p

a

b1

b2

b3

b4

a

b1

b2

b3

b4

1

1.70

-4.01

-2.81

-1.45

− 0.01

1.64

-3.82

-2.62

-1.36

− 0.09

11324.02

11385.34

11418.94

11566.27

1.48

5

0.914

19

2.30

-2.59

-1.65

− 0.95

− 0.01

1.35

-2.79

-1.89

− 0.99

0.19

11311.78

11373.10

11406.69

11554.03

13.73

5

0.017

5

2.28

-2.74

-2.12

-1.22

− 0.12

1.43

-4.72

-2.97

-1.67

− 0.32

11315.16

11376.48

11410.07

11557.41

10.90

5

0.046

17

1.61

-2.43

-1.43

− 0.40

0.75

1.74

-2.26

-1.24

0.05

1.04

11312.22

11373.54

11407.14

11554.47

13.28

5

0.021

8

2.31

-2.00

-1.19

− 0.42

0.54

2.21

-2.91

-1.71

− 0.60

0.26

11306.78

11368.10

11401.69

11549.03

18.73

5

0.002

13

1.77

-2.93

-2.45

-2.03

− 0.91

2.41

-2.62

-2.16

-1.51

− 0.43

11311.52

11372.84

11406.43

11553.77

13.99

5

0.016

4

1.44

-3.19

-2.17

− 0.85

0.62

1.36

-2.97

-2.13

− 0.73

0.55

11323.06

11384.38

11417.97

11565.31

2.45

5

0.783

11

2.36

-2.15

-1.18

− 0.34

0.75

2.85

-2.34

-1.33

− 0.41

0.43

11314.73

11376.05

11409.64

11556.98

10.78

5

0.056

10

1.81

-2.66

-2.20

-1.17

− 0.10

1.75

-2.72

-1.81

− 0.79

0.12

11315.88

11377.20

11410.8

11558.13

9.63

5

0.086

15

2.14

-2.53

-1.53

− 0.43

0.70

2.61

-2.22

-1.34

− 0.50

0.57

11322.32

11383.63

11417.23

11564.56

3.19

5

0.670

7

2.79

-2.41

-1.51

− 0.83

0.40

1.96

-2.62

-1.90

− 0.92

0.35

11912.04

11973.36

12006.95

12154.28

7.87

5

0.163

12

1.56

-3.09

-2.24

-1.03

0.37

2.08

-2.87

-2.16

− 0.84

0.19

11914.49

11975.81

12009.4

12156.74

5.42

5

0.366

2

1.03

-3.39

-2.39

− 0.67

1.22

1.36

-2.88

-1.83

− 0.53

0.73

11913.93

11975.25

12008.85

12156.18

5.98

5

0.308

16

1.77

-3.14

-2.03

− 0.82

0.26

2.12

-2.41

-1.64

− 0.55

0.47

11912.41

11973.73

12007.33

12154.66

7.50

5

0.186

6

2.28

-2.10

-1.38

− 0.57

0.42

1.88

-2.60

-1.74

− 0.59

0.62

11914.66

11975.98

12009.57

12156.90

5.26

5

0.385

18

1.44

-2.05

-1.19

− 0.29

1.00

1.83

-2.07

-1.55

− 0.28

0.67

11905.16

11966.48

12000.08

12147.41

14.75

5

0.011

14

1.93

-3.38

-1.90

− 0.76

0.52

1.94

-3.29

-1.91

− 0.97

0.33

11915.73

11977.05

12010.64

12157.98

4.18

5

0.523

3

1.29

-3.25

-2.33

-1.18

0.31

1.08

-4.93

-3.31

-1.80

0.10

11912.22

11973.53

12007.13

12154.47

7.70

5

0.174

20

2.16

-2.37

-1.53

− 0.62

0.47

1.79

-2.56

-1.37

− 0.40

0.62

11913.06

11974.38

12007.98

12155.31

6.85

5

0.232

9

1.85

-3.10

-2.70

-1.92

− 0.49

1.76

-3.42

-2.73

-1.62

− 0.20

11912.46

11973.78

12007.38

12154.71

7.45

5

0.189