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Table 2 Fixed effect statistics of complete and stratified linear mixed models with participant and menu effect as random, dependant variable: energy of the main

From: Increasing availability of lower energy meals vs. energy labelling in virtual full-service restaurants: two randomized controlled trials in participants of higher and lower socioeconomic position

 

Study 1

Type III tests

Estimatea

95% LCL

95% UCL

Model

F

p

Complete (n = 1001)

 (Intercept)

  

962.20

850.71

1073.68

 Availability

256.43

<  0.001

− 128.41

− 153.81

− 103.01

 Labelling

9.25

0.002

−3.53

−28.93

21.87

 Education

1.62

0.203

11.00

−16.34

38.33

 Availability*Education

<  0.01

0.968

−0.64

−32.16

30.88

 Labelling*Education

6.78

0.009

−41.85

−73.37

−10.33

Education = ‘low’ (n = 351)

 (Intercept)

  

962.20

849.06

1075.33

 Availability

105.86

<  0.001

−128.41

− 152.89

−103.93

 Labelling

0.08

0.778

−3.53

−28.01

20.95

Education = ‘high’ (n = 650)

  (Intercept)

  

973.19

864.55

1081.84

 Availability

176.88

<  0.001

−129.05

− 148.08

− 110.03

 Labelling

21.87

<  0.001

−45.38

−64.40

−26.35

 

Study 2

Type III tests

Estimate

95% LCL

95% UCL

Model

F

p

Complete (n = 1090)

 (Intercept)

  

957.16

917.50

996.83

 Availability

243.80

<  0.001

− 115.16

− 140.67

−89.66

 Labelling

7.24

0.007

−6.33

−31.90

19.23

 Education

2.08

0.149

15.20

−12.12

42.52

 Availability*Education

1.98

0.160

−22.80

−54.58

8.98

 Labelling*Education

3.65

0.056

−31.03

−62.87

0.81

Education = ‘low’ (n = 388)

 (Intercept)

  

957.16

923.58

990.74

 Availability

82.46

<  0.001

−115.16

−140.04

−90.29

 Labelling

0.25

0.619

−6.33

−31.26

18.60

Education = ‘high’ (n = 702)

 (Intercept)

  

972.36

933.28

1011.44

 Availability

198.04

<  0.001

− 137.96

− 157.18

− 118.74

 Labelling

14.51

<  0.001

−37.36

−56.59

−18.13

 

Pooled data

Type III tests

Estimate

95% LCL

95% UCL

Model

F

p

Complete (n = 2091)

 (Intercept)

  

967.55

901.39

1033.71

 Availability

498.83

<  0.001

− 121.44

−139.44

− 103.43

 Labelling

16.49

<  0.001

−5.11

−23.13

12.90

 Education

3.72

0.054

13.16

−6.17

32.48

 Availability*Education

1.14

0.285

−12.20

−34.59

10.19

 Labelling*Education

10.01

0.002

−36.16

−58.56

−13.76

 Study

7.61

0.006

−19.81

−33.89

−5.73

Education = ‘low’ (n = 739)

 (Intercept)

  

970.70

903.09

1038.31

 Availability

185.94

<  0.001

−121.44

−138.90

−103.98

 Labelling

0.32

0.570

−5.07

−22.56

12.41

 Study

4.08

0.044

−23.63

−46.57

−0.69

Education = ‘high’ (n = 1352)

 (Intercept)

  

978.65

914.01

1043.29

 Availability

374.97

<  0.001

− 133.64

− 147.16

− 120.11

 Labelling

35.74

<  0.001

−41.27

−54.80

−27.73

 Study

3.57

0.059

−17.06

−34.76

0.64

  1. aIntercept estimate for the reference group: baseline availability, no labelling, low education level (complete models), study 1 (pooled data); estimates of the fixed effects must be interpreted as differences with the reference group