This page presents the data used in

[96.5] Fennema, Hein & Peter P. Wakker (1996), "A Test of Rank-Dependent Utility in the Context of Ambiguity," Journal of Risk and Uncertainty 13, 19-35.


PRINTING THIS PAGE: When printed, the data come out best in nonproportional fonts such as Courier.



1. The Stimuli

A full description of the experiment is provided by the paper. This page contains a brief description of the stimuli and the raw data of the choices. There are nine so-called "sets." Each set consists of four gamble pairs. Hence, there are 36 gamble pairs in total. Subjects chose their preferred gamble from each gamble pair. The following tables (adapted from Tables 3-5 from the paper) describe the stimuli in detail.

Set of gambles

S/R

White

Yellow

Grey (Common outcome)

A

Safe

2

2

0

2

4

6

Risky

0

3

B

Safe

10

10

0

5

10

15

Risky

5

12

C

Safe

4

9

0

4

8

12

Risky

0

11

Table 1 (Table 3 in the paper). Sets of gambles generated by die I. The underlined common outcomes yield gamble pairs that provide a test of the comonotonic STP.

Set of gambles

S/R

Green

Blue

Red (Common outcome)

D

Safe

5

5

1

3

5

7

Risky

7

4

E

Safe

2

8

0

4

8

12

Risky

0

12

F

Safe

2

3

0

3

6

9

Risky

0

6

Table 2 (Table 4 in the paper). Sets of gambles generated by die II. The underlined common outcomes yield gamble pairs that provide a test of the comonotonic STP.

Set of gambles

S/R

Purple

Green

Yellow (Common outcomes)

G

Safe

3

5

0

4

8

12

Risky

2

7

H

Safe

8

3

0

4

8

12

Risky

12

0

I

Safe

6

6

0

3

6

9

Risky

9

4

Table 3 (Table 5 in the paper). Sets of gambles generated by die III. The underlined common outcomes yield gamble pairs that provide a test of the comonotonic STP.

2. The Data


The data were presented under four different conditions, each with 15 subjects:
  1. Condition Matrix
  2. Condition Verbal-Collapsed
  3. Condition Verbal
  4. Condition Graphic
The data are coded by 0 and 1. A 0 means a safe choice, a 1 indicates a risky choice. The following four matrices (one for each condition) give the individual data. In the matrices, each row gives the scores of a subject. Each column 1 corresponds with the first gamble pair of set A, ..., column 4 corresponds with the fourth gamble pair of set A, ...., column 33 corresponds with the first gamble pair of set I, ..., column 36 corresponds with the fourth gamble pair of set I. 

Data from the Matrix condition
Set A    Set B    Set C    Set D    Set E    Set F    Set G    Set H    Set I
0 0 0 0  0 0 0 0  0 0 0 0  1 1 0 1  0 0 0 0  0 0 0 0  0 1 1 1  0 0 0 0  1 1 0 1
0 1 0 1  0 0 0 1  0 1 0 0  1 1 1 1  0 1 1 1  1 1 0 1  1 1 1 1  0 0 0 0  1 1 0 1
0 0 0 0  0 1 1 0  0 0 1 0  1 1 1 1  0 0 0 0  0 0 0 0  0 0 0 0  0 0 0 0  1 1 1 0
0 0 0 0  0 0 0 0  0 0 0 0  0 1 1 1  0 0 0 0  0 0 0 1  1 1 1 1  0 0 0 0  0 0 0 0
0 0 0 0  0 0 0 0  0 0 0 0  0 0 1 0  0 0 0 0  0 0 0 0  0 0 0 0  0 0 0 0  0 0 0 0
0 0 0 0  0 0 0 0  0 0 0 0  0 0 0 0  0 0 0 1  0 0 0 0  1 0 1 1  0 0 0 0  0 1 0 1
1 1 1 1  1 1 1 1  1 1 1 1  1 1 0 1  0 0 1 0  0 0 0 0  0 0 0 0  0 0 0 0  0 0 0 0
0 0 0 0  1 0 0 0  0 0 0 0  1 1 1 1  1 1 1 1  0 0 0 0  0 0 0 0  1 0 1 0  1 1 1 1
0 0 0 1  0 0 1 0  0 0 0 0  1 1 1 1  1 1 1 1  1 1 1 1  1 1 1 1  1 1 1 0  1 1 1 1
0 1 0 0  1 1 0 0  1 1 0 1  0 0 0 0  1 1 1 1  1 1 1 1  1 1 1 1  0 0 0 0  1 0 1 1
1 1 0 1  1 1 0 0  1 1 1 1  1 1 1 1  1 1 1 1  0 0 1 0  0 1 1 1  1 1 1 1  1 0 0 1
0 0 1 0  0 1 1 1  0 1 0 0  0 0 1 0  0 1 1 0  1 0 0 0  1 1 1 1  0 0 0 0  0 0 1 1
1 1 1 1  0 0 0 0  1 0 1 1  1 1 1 1  1 1 1 1  1 1 1 1  1 1 1 1  1 1 1 1  1 1 1 1
0 0 0 0  0 1 0 0  0 0 0 0  1 1 1 1  0 0 0 0  0 0 0 0  1 1 1 1  0 0 0 0  0 1 0 1
0 0 0 0  0 1 1 1  0 0 0 0  0 0 0 1  0 0 0 0  0 0 0 0  0 0 0 0  0 0 0 0  0 0 0 1

Data from the Verbal-Collapsed condition
Set A    Set B    Set C    Set D    Set E    Set F    Set G    Set H    Set I
0 1 1 0  0 0 0 0  0 0 1 1  1 0 1 1  0 0 1 0  1 0 1 1  0 1 0 1  0 0 0 0  1 0 0 0
0 1 0 0  1 1 1 1  0 0 1 0  1 1 1 0  0 0 1 0  0 1 0 0  0 1 0 1  0 0 1 1  0 1 1 1
1 0 0 1  0 0 0 1  0 0 0 0  0 1 1 0  0 0 1 0  0 0 0 0  0 0 0 0  0 0 0 0  1 1 1 0
0 0 0 0  0 0 0 0  0 0 0 0  1 1 1 1  0 0 1 0  0 1 0 1  1 1 1 1  0 0 0 0  1 1 1 1
0 0 0 0  1 0 0 0  0 0 0 0  1 1 1 1  0 0 0 0  0 0 0 0  1 1 1 1  0 0 0 0  1 1 1 0
1 0 1 1  0 1 0 0  0 0 0 0  1 1 1 1  1 1 1 1  0 0 1 0  1 0 1 1  0 1 0 0  0 1 1 1
1 1 0 1  1 1 0 0  0 1 0 1  1 1 1 1  1 1 1 0  0 1 1 1  0 0 0 1  0 0 0 0  1 1 0 1
1 1 1 1  1 1 0 0  1 1 1 1  0 0 1 1  0 1 0 0  1 1 0 1  0 0 0 1  0 0 0 0  0 1 1 0
1 0 0 1  1 1 0 0  0 0 0 1  1 0 0 1  0 0 1 0  0 0 0 0  1 1 1 0  0 0 1 0  0 0 0 0
0 0 0 0  1 1 0 1  0 0 0 0  1 1 1 1  0 0 0 0  0 0 0 0  0 1 0 1  0 0 0 0  1 1 0 0
0 0 0 0  1 1 0 1  0 1 0 0  1 1 1 0  0 0 1 0  0 0 1 0  1 0 1 0  0 0 0 0  1 1 1 0
0 0 0 0  0 1 0 0  0 1 0 0  0 1 1 1  0 0 0 0  0 1 0 0  1 1 0 0  0 0 1 0  0 0 0 0
1 1 1 1  1 0 1 0  1 1 1 1  0 0 0 1  0 1 1 1  0 0 1 0  1 1 1 0  0 0 0 0  0 0 0 0
0 0 1 1  1 1 0 1  0 1 0 0  1 1 1 1  1 1 1 0  0 1 0 0  0 0 1 0  0 0 0 0  0 1 1 1
1 1 1 1  1 1 1 1  1 1 1 1  1 0 1 0  0 1 1 1  1 1 1 1  1 0 1 0  1 1 1 1  1 1 1 0

Data from the Verbal condition
Set A    Set B    Set C    Set D    Set E    Set F    Set G    Set H    Set I
0 0 0 0  0 0 0 0  0 0 0 0  1 0 1 1  0 1 1 0  1 1 1 1  1 1 0 0  1 1 1 1  1 1 0 1
0 1 1 0  0 1 0 1  0 0 0 1  1 0 0 1  1 1 1 1  0 1 1 1  1 1 1 1  1 0 0 0  1 0 0 0
1 1 0 1  1 1 1 1  1 1 1 1  1 1 1 1  1 1 1 1  0 0 0 0  0 0 0 0  1 1 1 1  1 0 1 0
0 0 0 0  0 0 0 0  0 1 0 0  1 1 0 1  0 1 0 0  1 1 1 1  1 0 1 0  1 1 0 1  1 1 1 0
0 1 0 0  1 0 0 0  0 0 1 0  0 0 0 1  0 0 0 0  0 1 1 1  0 1 0 1  0 0 0 1  0 0 0 0
0 0 0 0  0 0 0 1  0 1 0 0  0 1 1 0  0 0 0 0  0 0 0 0  0 0 0 0  0 0 0 0  0 0 0 0
0 0 0 0  0 1 0 0  1 0 1 1  1 1 1 1  0 0 0 0  0 0 0 0  0 0 1 1  0 0 0 0  1 1 1 0
0 0 0 0  0 0 0 0  0 0 0 0  1 1 1 1  0 0 0 0  1 1 1 1  1 1 1 1  0 1 0 0  0 1 1 1
0 1 1 1  1 1 0 1  1 0 1 0  0 0 0 0  0 0 0 1  0 0 0 0  1 1 1 1  0 0 0 0  0 0 0 0
1 0 1 1  0 0 0 0  1 1 0 1  0 0 1 0  1 1 1 1  1 1 1 1  0 1 1 1  1 1 1 1  1 1 1 1
0 1 1 1  1 1 1 1  0 1 0 0  0 0 1 0  0 0 0 0  0 0 0 0  1 1 0 0  0 0 0 0  0 0 0 0
1 0 0 0  0 1 0 0  1 1 1 1  1 1 1 1  0 1 1 1  1 1 1 0  1 1 1 1  1 1 1 1  1 1 0 0
1 1 0 0  1 1 1 1  0 0 0 0  0 1 0 0  0 0 0 0  0 0 0 0  0 0 0 0  0 0 0 0  0 0 0 0
0 0 0 0  1 0 0 0  0 0 0 0  1 0 0 1  0 0 0 0  1 1 1 1  1 0 1 1  0 0 0 0  0 0 0 1
0 0 0 0  0 0 0 0  0 0 0 0  0 1 0 0  0 0 0 0  1 0 1 0  0 1 0 0  0 0 0 0  1 1 1 0

Data from the Graphic condition
Set A    Set B    Set C    Set D    Set E    Set F    Set G    Set H    Set I
0 1 1 0  0 1 0 0  0 0 0 1  0 1 0 0  0 0 0 1  0 0 0 0  1 1 1 1  0 0 0 0  0 0 0 0
0 0 0 0  0 0 0 0  0 0 0 0  1 1 1 1  0 0 0 1  0 0 0 1  1 1 0 1  0 0 0 0  1 1 1 1
1 1 1 1  1 1 1 1  0 0 1 0  1 1 1 1  1 0 0 1  1 0 0 0  0 1 1 1  0 0 0 0  0 1 0 1
0 0 0 0  1 0 1 1  0 0 0 0  1 1 1 1  0 1 0 1  0 0 0 0  1 1 0 0  0 0 0 0  1 1 1 0
0 0 0 0  0 0 0 1  0 1 1 0  0 0 0 1  0 1 1 1  1 1 1 0  1 1 1 1  0 0 0 1  1 0 1 1
0 0 0 0  0 0 0 1  0 0 0 0  1 1 1 1  1 0 0 0  1 1 1 1  1 1 1 1  1 0 1 0  1 1 1 1
1 1 1 1  1 1 1 1  1 1 1 1  0 0 0 0  0 0 0 0  1 1 1 1  1 1 1 1  1 1 0 0  0 0 0 0
0 0 0 0  0 0 0 0  0 0 0 0  1 1 1 0  0 1 0 0  0 1 1 0  1 1 1 1  0 0 0 0  1 1 1 1
0 0 0 0  0 0 0 0  0 0 0 0  0 1 1 1  0 0 0 0  0 0 0 0  1 1 0 0  0 0 0 0  0 1 1 1
0 0 1 0  1 0 0 0  0 1 0 0  0 0 1 0  0 0 0 0  0 1 1 1  0 0 1 1  0 0 0 0  0 0 0 0
0 1 0 0  1 0 0 0  0 1 1 0  0 0 0 0  0 0 0 0  1 1 0 1  1 1 1 1  0 0 1 0  0 1 0 1
0 1 1 1  1 0 1 1  1 0 1 0  1 0 1 1  0 1 0 0  1 1 1 1  1 1 0 1  0 0 0 0  0 1 1 1
0 0 0 0  0 1 0 0  0 0 0 0  1 0 0 1  0 0 0 0  0 0 0 0  1 0 1 1  0 0 0 0  0 0 1 0
0 0 0 0  0 0 0 0  0 0 0 0  1 1 1 1  0 1 1 1  1 1 0 1  1 1 1 1  0 0 0 0  1 1 1 0
0 0 0 0  0 0 0 0  0 0 0 1  1 0 1 1  0 1 1 0  0 0 0 1  1 1 1 0  0 0 0 1  1 1 1 0