Supplementary Table 1. Stochastic transitivity in Experiment 1
Proportion of choices (mean+s.e.m.) for intermediate (Inter.1 and Inter.2) and extreme pairs (Extr.) in each Transitivity Set (TS), for Exp. 1. Paired sample t-tests were conducted between the proportion of choices for the extreme pair and the intermediate pairs with weaker and stronger preference for Moderate (MST) and Strong Stochastic Transitivity (SST), respectively [see Data Analysis section for details]. The values for TSs composed of contiguous options are depicted in bold.
Supplementary Table 2. Stochastic transitivity in Experiment 2
Proportion of choices (mean+s.e.m.) for intermediate (Inter.1 and Inter.2) and extreme pairs (Extr.) in each Transitivity Set (TS) for Exp. 2. Paired sample t-tests were conducted between the proportion of choices for the extreme pair and the intermediate pairs with weaker and stronger preference for Moderate (MST) and Strong Stochastic Transitivity (SST), respectively [see Data Analysis section for details]. The values for TSs composed of contiguous options are depicted in bold.
Supplementary Figure 1. Individual least squares linear (wls) regressions
The principle of Independence of Irrelevant alternatives (IIA) requires regressions to fall along the diagonal. Each solid line shows the individual wls regressions for Exp. 1 (A, n=5) and Exp. 2 (B, n=10). Number of choices between every two options in each trinary-choice combination was used as weighing factor. Exp. 1: Average slope= 0.88 (range: 0.82 to 0.97) and average intercept=0.11 (range: 0.02 to 0.17). Exp. 2: average slope= 0.88 (range: 0.64 to1.19) and average intercept=0.11 (range: -0.16 to 0.34).
Supplementary dataset 1. “Experiment 1.xls”
File “Experiment 1.xlsx”: each tab has the data from one experimental subject/
Headings:
- Trial: 0 to session end. Restarts at 0 every new session.
- Attention: location of the attention key. 0 (left); 1 (centre); 2 (right).
- Left: stimuli position (number indicates what stimulus, 0 means no-stimulus presented.
- Centre: (same notation as above).
- Right: (same notation as above).
- Trial Type: 0 (single-option trial); 1 (binary-choice trial); 2 (trinary-choice trial).
- Chose: option chosen.
- Result: completed trial (1); otherwise (0).
- Side: position of the chosen alternative (same notation as above).
- Delay: delay to food (fixed interval schedule) associated with the chosen option (i.e., 6, 9, 12, 15 an 18 seconds).
Options coding(delay to food in seconds):
1=6
2=9
3=12
4=15
5=18
Supplementary dataset 2. “Experiment 2.xls”
File “Experiment 2.xlsx”: each tab has the data from one experimental subject.
Headings:
- Trial: 0 to session end. Restarts at 0 every new session.
- Attention: location of the attention key. 0 (left); 1 (centre); 2 (right).
- Left: stimuli position (number indicates what stimulus, 0 means no-stimulus presented.
- Centre: (same notation as above).
- Right: (same notation as above).
- Trial Type: 0 (single-option trial); 1 (binary-choice trial); 2 (trinary-choice trial).
- Chose: option chosen.
- Result: completed trial (1); otherwise (0).
- Side: position of the chosen alternative (same notation as above).
- Rewarded: was the animal rewarded? 1(yes); 0(otherwise).
Options coding (probability of reward):
1=0.8
2=0.7
3=0.5
4=0.5
5=0.3
6=0.2
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