Table 7 Details of tests between pairs of mean BIC values in Study 3

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 3 10 options

 Biased Prior obj

Biased Prior subj

75

0.31

0.23

0.17

–0.13

 +Biased Prior obj

Cut Off obj

75

6.05E6

6.55E6

6.35E6

–0.79

 Biased Prior obj

Cut Off subj

75

8.4E9

9.8E9

1E10

–1

 Biased Prior obj

Cost to Sample obj

75

1.89

1.49

1.13

–0.27

 Biased Prior obj

Cost to Sample subj

75

0.26

0.19

0.14

–0.1

 Biased Prior subj

Cut Off obj

75

695.77

649.11

551.07

–0.52

 Biased Prior subj

Cut Off subj

75

5.9E7

6.6E7

6.6E7

–0.86

 Biased Prior subj

Cost to Sample obj

75

0.19

0.14

0.1

0.04

 Biased Prior subj

Cost to Sample subj

75

0.21

0.15

0.11

0.07

 Cut Off obj

Cut Off subj

75

3.3

2.66

2.04

–0.3

 Cut Off obj

Cost to Sample obj

75

8.44E4

8.61E4

7.89E4

0.67

 Cut Off obj

Cost to Sample subj

75

2.7E4

2.72E4

2.45E4

0.63

 Cut Off subj

Cost to Sample obj

75

1.2E9

1.4E9

1.4E9

0.94

 Cut Off subj

Cost to Sample subj

75

4.5E11

5.4E11

5.9E11

1.11

 Cost to Sample obj

Cost to Sample subj

75

0.18

0.13

0.09

0.01

Study 3 14 options

 Biased Prior obj

Biased Prior subj

65

2.3

1.85

1.42

–0.3

 Biased Prior obj

Cut Off obj

65

3.8E10

4.5E10

5E10

–1.15

 Biased Prior obj

Cut Off subj

65

2.1E10

2.5E10

2.7E10

–1.13

 Biased Prior obj

Cost to Sample obj

65

17.62

15.24

12.24

–0.4

 Biased Prior obj

Cost to Sample subj

65

0.83

0.65

0.48

–0.23

 Biased Prior subj

Cut Off obj

65

6436.71

6449.61

5817.81

–0.64

 Biased Prior subj

Cut Off subj

65

4.64E6

5.15E6

5.12E6

–0.86

 Biased Prior subj

Cost to Sample obj

65

0.22

0.16

0.12

0.08

 Biased Prior subj

Cost to Sample subj

65

0.29

0.22

0.16

0.12

 Cut Off obj

Cut Off subj

65

0.62

0.47

0.35

–0.2

 Cut Off obj

Cost to Sample obj

65

2.4E7

2.7E7

2.7E7

0.92

 Cut Off obj

Cost to Sample subj

65

8.52E4

8.94E4

8.41E4

0.73

 Cut Off subj

Cost to Sample obj

65

9.1E7

1E8

1.1E8

0.96

 Cut Off subj

Cost to Sample subj

65

1.6E8

1.8E8

1.9E8

0.98

 Cost to Sample obj

Cost to Sample subj

65

0.19

0.14

0.1

0

  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. obj = Compare to the middle row of Fig. 7. Abbreviations: Subj = Models that make choices about subjective values; Obj = Models that make choices about objective values.