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Table 4 Likelihood ratio test between two nested cumulative ordinal logistic regression models for DIF examination

From: Validation of the food access survey tool to assess household food insecurity in rural Bangladesh

  

Literacy (literate vs illiterate)

Age (≥30 y vs <30 y)

Model 1a

Model 2b

−2D

p-value

Effect sizec

Model 2b

−2D

p-value

Effect sizec

Item 1

–5515.64

–5496.01

39.27

<0.001

0.18 %

–5508.65

13.98

<0.001

0.05 %

Item 2

–3043.47

–3015.94

55.07

<0.001

0.60 %

–3040.42

6.10

0.05

0.00 %

Item 3

–3359.23

–3348.06

22.34

<0.001

0.16 %

–3348.15

22.16

<0.001

0.20 %

Item 4

–6012.05

–5991.26

41.56

<0.001

0.14 %

–6009.88

4.32

0.12

0.00 %

Item 5

–3244.66

–3220.84

47.64

<0.001

0.33 %

–3240.99

7.34

0.03

0.03 %

Item 6

–4281.38

–4256.09

50.59

<0.001

0.29 %

–4268.56

25.64

<0.001

0.14 %

Item 7

–10278.28

–10184.37

187.82

<0.001

0.57 %

–10245.95

64.66

<0.001

0.18 %

Item 8

–6046.82

–5989.04

115.54

<0.001

0.68 %

–6035.00

23.64

<0.001

0.14 %

Item 9

–6296.15

–6262.50

67.29

<0.001

0.32 %

–6286.59

19.11

<0.001

0.10 %

  

Land ownership (Yes vs No)

Household size (≥4 vs <4)

Model 1a

Model 2b

−2D

p-value

Effect sizec

Model 2b

−2D

p-value

Effect sizec

Item 1

–5515.64

–5216.83

597.62

<0.001

0.23 %

–5502.33

26.62

<0.001

0.09 %

Item 2

–3043.47

–2904.33

278.28

<0.001

0.30 %

–3031.35

24.24

<0.001

0.22 %

Item 3

–3359.23

–3218.90

280.65

<0.001

–0.22 %

–3349.25

19.95

<0.001

0.14 %

Item 4

–6012.05

–5714.07

595.96

<0.001

0.01 %

–5993.87

36.35

<0.001

0.11 %

Item 5

–3244.66

–3137.21

214.91

<0.001

–0.46 %

–3235.91

17.50

<0.001

0.08 %

Item 6

–4281.38

–4103.63

355.50

<0.001

–0.21 %

–4269.68

23.41

<0.001

0.10 %

Item 7

–10278.28

–9533.13

1490.29

<0.001

0.89 %

–10206.68

143.19

<0.001

0.40 %

Item 8

–6046.82

–5735.46

622.72

<0.001

0.09 %

–6033.31

27.00

<0.001

0.10 %

Item 9

–6296.15

–5888.44

815.41

<0.001

0.17 %

–6282.91

26.48

<0.001

0.04 %

  1. aModel 1: The log odds of response in one category or below is modeled as a linear function of total food insecurity score only
  2. bModel 2: The log odds of response in one category or below is modeled as a linear function of total food insecurity score, group membership and interaction between total score and group membership
  3. cEffect size is defined as the difference of R-squared between model 2 and model 1.c. Effect size is defined as the difference of R-squared between model 2 and model 1