Table 5 Details of tests between pairs of mean BIC values in Study 1 models with a first phase

From: Biased expectations about future choice options predict sequential economic decisions

Model 1

Model 2

n

Bayes Factor 10 (BF10)

Cohen’s d

r = 0.5

r = 0.71

r = 1

Study 1 ratings

 Biased Prior obj

Biased Prior subj

51

2593.14

2667.58

2469.76

–0.7

 Biased Prior obj

Cut Off obj

51

1.13E11

1.43E11

1.68E11

–1.45

 Biased Prior obj

Cut Off subj

51

7.54E11

9.65E11

1.15E12

–1.53

 Biased Prior obj

Cost to Sample obj

51

0.97

0.77

0.58

–0.26

 Biased Prior obj

Cost to Sample subj

51

5.85E5

6.63E5

6.76E5

–0.93

 Biased Prior subj

Cut Off obj

51

37.68

34.52

29.01

–0.5

 Biased Prior subj

Cut Off subj

51

4.16E7

4.95E7

5.35E7

–1.11

 Biased Prior subj

Cost to Sample obj

51

43.92

40.45

34.11

0.51

 Biased Prior subj

Cost to Sample subj

51

2.45

2.02

1.57

–0.34

 Cut Off obj

Cut Off subj

51

29.43

26.74

22.33

–0.49

 Cut Off obj

Cost to Sample obj

51

3.11E8

3.78E8

4.18E8

1.19

 Cut Off obj

Cost to Sample subj

51

2.35

1.94

1.51

0.33

 Cut Off subj

Cost to Sample obj

51

3.02E9

3.73E9

4.23E9

1.29

 Cut Off subj

Cost to Sample subj

51

1.19E6

1.36E6

1.40E6

0.96

 Cost to Sample obj

Cost to Sample subj

51

3554.51

3681.92

3430.71

–0.72

Study 1 full

 Biased Prior obj

Biased Prior subj

50

0.27

0.2

0.15

0.11

 Biased Prior obj

Cut Off obj

50

0.83

0.65

0.49

–0.25

 Biased Prior obj

Cut Off subj

50

3.07

2.56

2.01

–0.35

 Biased Prior obj

Cost to Sample obj

50

4.90E6

5.73E6

6.05E6

–1.04

 Biased Prior obj

Cost to Sample subj

50

0.32

0.24

0.17

–0.13

 Biased Prior subj

Cut Off obj

50

1

0.79

0.6

–0.27

 Biased Prior subj

Cut Off subj

50

3.57

3

2.37

–0.36

 Biased Prior subj

Cost to Sample obj

50

5.32

4.55

3.63

–0.39

 Biased Prior subj

Cost to Sample subj

50

0.61

0.47

0.35

–0.22

 Cut Off obj

Cut Off subj

50

1.24

1

0.76

–0.29

 Cut Off obj

Cost to Sample obj

50

0.31

0.23

0.17

–0.13

 Cut Off obj

Cost to Sample subj

50

0.34

0.25

0.19

0.15

 Cut Off subj

Cost to Sample obj

50

0.21

0.15

0.11

0.01

 Cut Off subj

Cost to Sample subj

50

1.13

0.9

0.69

0.28

 Cost to Sample obj

Cost to Sample subj

50

5.07

4.32

3.45

0.39

  1. All p values Bonferroni corrected for the number of tested pairs per study. r values in the Bayes Factor columns represent the scale factor of the Cauchy prior on the effect size. Compare to middle row of Fig. 5. Abbreviations: Subj = Models that make choices about subjective values; Obj = Models that make choices about objective values.