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The Cost of Regulating Effort: Reward and Difficulty Cues With Longer Prediction Horizons Have a Stronger Impact on Performance Cover

The Cost of Regulating Effort: Reward and Difficulty Cues With Longer Prediction Horizons Have a Stronger Impact on Performance

Open Access
|Jan 2025

Figures & Tables

joc-8-1-415-g1.png
Figure 1

Trial structure of Experiment 1 with short prediction horizon, and Experiment 2 with long prediction horizon.

Note. E-cue stands for evaluation cue, a-cue stands for allocation cue. In Experiment 1 only one allocation cue and one RDM stimulus follow each evaluation cue. In Experiment 2 the allocation cue and RDM stimulus are repeated six times after each evaluation cue.

Table 1

Output of a GLMM of RT across all difficulty levels with random effect structure reward * difficulty | participant.

PREDICTORSRT
ESTIMATESCIp
(Intercept)  542.84510.30–577.46<0.001
Reward (high)  1.000.99–1.000.213
Difficulty (easy)  0.950.94–0.96<0.001
Experiment 2  1.010.95–1.080.671
Reward (high) * Difficulty (easy)  1.001.00–1.010.208
Reward (high) * Experiment 2  1.000.99–1.000.450
Difficulty (easy) * Experiment 2  1.000.99–1.010.529
Reward (high) * Difficulty (easy) * Experiment 2  1.000.99–1.010.874
Random Effects
σ2  0.05
τ00 participant  0.01
τ11 participant.Reward (high)  0.00
τ11 participant.Difficulty (easy)  0.00
τ11 participant.Reward (high):Difficulty (easy)  0.00
ρ01–0.09
–0.06
  0.02
ICC  0.17
N participant  94
Observations  14780
Marginal R2/Conditional R2  0.047/0.205
Table 2

Output of GLMM of accuracy across all difficulty levels with random effect structure difficulty | participant.

PREDICTORSACCURACY
ODDS RATIOSCIp
(Intercept)6.785.57–8.26<0.001
Reward (high)1.030.99–1.080.162
Difficulty (easy)2.111.92–2.33<0.001
Experiment 20.950.78–1.150.577
Reward (high) * Difficulty (easy)1.030.99–1.080.147
Reward (high) * Experiment 21.051.00–1.090.038
Difficulty (easy) * Experiment 21.020.93–1.120.699
Reward (high) * Difficulty (easy) * Experiment 21.051.01–1.100.028
Random Effects
σ23.29
τ00 participant0.86
τ11 participant.Difficulty (easy)0.14
ρ010.90
ICC0.23
N participant94
Observations18050
Marginal R2/Conditional R20.117/0.322
Table 3

Output of a GLMM of RT in intermediate difficulty trials with random effect structure reward * difficulty cue | participant.

PREDICTORSRT
ESTIMATESCIp
(Intercept)  547.44513.11–584.08<0.001
Reward (high)  1.000.99–1.010.899
Difficulty cue (easy)  0.990.99–1.000.117
Experiment 2  1.020.96–1.090.563
Reward (high) * Difficulty cue (easy)  1.000.99–1.010.726
Reward (high) * Experiment 2  1.000.99–1.010.893
Difficulty cue (easy) * Experiment 2  0.990.99–1.000.184
Reward (high) * Difficulty cue (easy) * Experiment 2  1.000.99–1.010.676
Random Effects
σ2  0.05
τ00 participant  0.01
τ11 participant.Reward (high)  0.00
τ11 participant.Difficulty cue (easy)  0.00
τ11 participant. Reward (high): Difficulty cue (easy)  0.00
ρ01–0.05
  0.01
  0.11
ICC  0.52
N participant  94
Observations  7413
Marginal R2/Conditional R2  0.007/0.204
Table 4

Output of a GLMM of accuracy in intermediate difficulty trials with random effect structure reward | participant.

PREDICTORSACCURACY
ODDS RATIOSCIp
(Intercept)5.834.83–7.03<0.001
Reward (high)1.010.93–1.090.883
Difficulty cue (easy)1.030.97–1.090.341
Experiment 20.950.79–1.150.618
Reward (high) * Difficulty cue (easy)1.071.01–1.130.019
Reward (high) * Experiment 20.950.89–1.020.170
Difficulty cue (easy) * Experiment 21.061.00–1.120.046
Reward (high) * Difficulty cue (easy) * Experiment 21.061.00–1.120.061
Random Effects
σ23.29
τ00 participant0.75
τ11 participant. Reward (high)0.03
ρ010.15
ICC0.19
N participant94
Observations9020
Marginal R2/Conditional R20.004/0.195
joc-8-1-415-g2.png
Figure 2

Modelled performance indices across easy and hard trials.

Note. Estimated marginal means of log RT and of log odds of accuracy in Experiment 1 (left panel), and Experiment 2 (right panel). Error bars represent the standard error of the estimated marginal mean. ** = p < .01.

joc-8-1-415-g3.png
Figure 3

Modelled performance indices across all six trials after an evaluation-cue (easy and hard conditions).

Note. Estimated marginal means of log odds of accuracy along the miniblock of six trials preceded by an evaluation-cue in Experiment 2.

joc-8-1-415-g4.png
Figure 4

Modelled performance indices of intermediate difficulty trials in Experiment 1 and Experiment 2.

Note. Estimated marginal means of log RTs and log odds of accuracy of intermediate difficulty trials in Experiment 1 (left panel) and Experiment 2 (right panel). Error bars represent the standard error of the estimated marginal means.

joc-8-1-415-g5.png
Figure 5

Likeability and demand ratings of evaluation cues across Experiments 1 and 2.

Note. Likeability (left panel) and demand (right panel) rating of evaluation cues across Experiment 1 and 2. Error bars represent the standard error of the mean.

joc-8-1-415-g6.png
Figure 6

Trial structure of Experiment 3 with short prediction horizon, and Experiment 4 with long prediction horizon.

Note. E-cue stands for evaluation cue, a-cue stands for allocation cue. In Experiment 3 only one allocation cue and one Stroop target follow each evaluation cue. In Experiment 4 the allocation cue and a varying Stroop target of the cued difficulty (congruency) are presented six times after each evaluation cue.

Table 5

Output of a GLMM of RT across all difficulty levels with random effect structure 1 | participant.

PREDICTORSRT
ESTIMATESCIp
(Intercept)405.23393.00–417.84<0.001
Reward (high)1.000.99–1.00<0.001
Difficulty (easy)0.990.99–0.99<0.001
Experiment 40.990.96–1.020.592
Reward (high) * Difficulty (easy)1.001.00–1.000.345
Reward (high) * Experiment 41.001.00–1.000.039
Difficulty (easy) * Experiment 41.001.00–1.000.249
Reward (high) * Difficulty (easy) * Experiment 41.001.00–1.000.510
Random Effects
σ20.03
τ00 participant0.00
ICC0.06
N participant98
Observations25547
Marginal R2/Conditional R20.005/0.068
Table 6

Output of a GLMM of accuracy across all difficulty levels with random effect structure difficulty | participant.

PREDICTORSACCURACY
ODDS RATIOSCIp
(Intercept)  20.2517.19–23.85<0.001
Reward (high)  1.040.99–1.100.130
Difficulty (easy)  1.181.10–1.26<0.001
Experiment 4  1.211.03–1.420.023
Reward (high) * Difficulty (easy)  1.030.98–1.090.226
Reward (high) * Experiment 4  1.020.96–1.070.538
Difficulty (easy) * Experiment 4  1.020.96–1.090.437
Reward (high) * Difficulty (easy) * Experiment 4  1.000.95–1.050.970
Random Effects
σ2  3.29
τ00 participant  0.58
τ11 participant.Difficulty (easy)  0.02
ρ01 participant–0.74
ICC  0.16
N participant  98
Observations  27233
Marginal R2/Conditional R2  0.016/0.169
joc-8-1-415-g7.png
Figure 7

Modelled performance indices in Experiment 3 and Experiment 4.

Note. Estimated marginal means of RTs and of log odds of accuracy in Experiment 3 (left panel), and Experiment 4 (right panel). Error bars represent the standard error of the estimated marginal mean. * = p < .05.

joc-8-1-415-g8.png
Figure 8

Modelled reaction times across trials of a miniblock in Experiment 4.

Note. Estimated marginal means of RT along the miniblock of six trials preceded by an evaluation-cue in Experiment 4.

joc-8-1-415-g9.png
Figure 9

Likeability and demand ratings of evaluation cues across Experiments 3 and 4.

Note. The likeability rating (left) and demand rating (right) of each e-cue across Experiment 3 and 4.

DOI: https://doi.org/10.5334/joc.415 | Journal eISSN: 2514-4820
Language: English
Submitted on: Aug 31, 2023
Accepted on: Oct 30, 2024
Published on: Jan 7, 2025
Published by: Ubiquity Press
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2025 Nanne Kukkonen, Senne Braem, Jens Allaert, Joshua O. Eayrs, Nicoleta Prutean, S. Tabitha Steendam, C. Nico Boehler, Jan R. Wiersema, Wim Notebaert, Ruth M. Krebs, published by Ubiquity Press
This work is licensed under the Creative Commons Attribution 4.0 License.