Numerosity and tangibility in investment decisions (Study 2)

Last registered on December 09, 2025

Pre-Trial

Trial Information

General Information

Title
Numerosity and tangibility in investment decisions (Study 2)
RCT ID
AEARCTR-0017020
Initial registration date
October 14, 2025

Initial registration date is when the trial was registered.

It corresponds to when the registration was submitted to the Registry to be reviewed for publication.

First published
October 23, 2025, 6:38 AM EDT

First published corresponds to when the trial was first made public on the Registry after being reviewed.

Last updated
December 09, 2025, 6:01 AM EST

Last updated is the most recent time when changes to the trial's registration were published.

Locations

Primary Investigator

Affiliation
Radboud University

Other Primary Investigator(s)

PI Affiliation
PI Affiliation

Additional Trial Information

Status
Completed
Start date
2025-10-15
End date
2025-10-30
Secondary IDs
-
Prior work
This trial does not extend or rely on any prior RCTs.
Abstract
Using experimental finance methodology, we simulate financial decision-making under risk
in the form of investment tasks. Experimental Currency Units aim to make the situation more
realistic. The ECU frame, however, is often arbitrarily chosen. In particular, when tangibility or
numerosity (individuals tend to over-infer quantity when it is represented with higher numeric
values) has an effect on risk decision-making. Do higher ECU frames bias decision-making
in financial risk-taking tasks? This study aims to test whether the ECU frame affects
financial decision-making under risk. This pre-registration adds to the pre-registration AEARCTR-0010575.
An editor requested additional experiments with an adjusted experimental design.


External Link(s)

Registration Citation

Citation
Füllbrunn, Sascha, Wolfgang Luhan and Paul-Emile Mangin. 2025. "Numerosity and tangibility in investment decisions (Study 2)." AEA RCT Registry. December 09. https://doi.org/10.1257/rct.17020-2.0
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Experimental Details

Interventions

Intervention(s)
We will recruit participants from Prolific. They will participate in an online experiment that collects both independent and dependent measures, i.e., participants’ decisions in five experimental conditions (between-subjects design).
Intervention (Hidden)
We will measure the participants' risk preference using parameters of the original Gneezy and Potters (1994) game and risk perception.
We compare the risk preference metric between five treatments varying the experimental currency, which is either Pence or Tokens. The variation takes place in the wording and the endowment, which is either 200 Pence or 200 Tokens, 2000 Tokens, 20000 Tokens or 200000 Tokens.
Intervention Start Date
2025-10-15
Intervention End Date
2025-10-30

Primary Outcomes

Primary Outcomes (end points)
Fraction of endowment invested in the Investment Game.
The risk perceived in the risk perception task (from 1-7).

We compare these metrics between five treatments varying the experimental currency, which is either Pence or Tokens. The variation takes place in the wording and the endowment, which is either 200 Pence or 200 Tokens, 2000 Tokens, 20000 Tokens or 200000 Tokens.

Primary Outcomes (explanation)
-

Secondary Outcomes

Secondary Outcomes (end points)
Controls:
Gender, Age, Income Level (0-10), Knowledge about financial investment (1-5), Level of Education (Primary to Post-Graduate), English native language (Yes, No), Country of birth, Understood the task (1-5)
Secondary Outcomes (explanation)

Experimental Design

Experimental Design
Participants will be recruited via Prolific. We will use the software Qualtrics to code the experiment.

Experimental Design Details
Step 1: Presentation of consent form. Participants who refuse to sign will stop the experiment at this stage.
Step 2: Randomisation into treatments (see treatment details below) when sending the session link to participants. Each session corresponds to a treatment, following a between-subjects approach.
Step 3: General instructions and payment information. Details are given on the experiment's duration, payment procedures and anonymity.
Step 4: Task to determine participants' risk perception; they observe a lottery and state how risky they perceive it to be between 1 and 7. (leading to primary outcome 2)
Step 5: Treatment instructions. Participants are presented with the instructions for the respective treatment that they were randomly allocated into.
Step 6: Make an investment decision; participents get an endowment (treatment variable) and state how much to invest of this endowment in a risky project that pays 2.5 times the investment with 1/3 probability and nothing with 2/3 probability - investment is lost (leading to primary outcome 1)
Step 7: Short survey (leading to secondary outcomes)
Step 8: Result of investment decision
Step 9: Land at Prolific.
Randomization Method
The participants click the link to the Qualtrics Survey. In the Qualtrics Survey, we make use of the "Randomizer" in the survey flow where participants will be randomly allocated to one of the treatments. It aims to allocate in a way that participants are equally distributed to the treatments such that the number of participants per treatments is the same.

The participants will be allocated to one of the following treatments with the endowments 200 Pence, 200 Tokens, 2000 Tokens, 20000 Tokens or 200000 Tokens.
Randomization Unit
Individual
Was the treatment clustered?
No

Experiment Characteristics

Sample size: planned number of clusters
One cluster, prolific participants from the UK >> 525 participants
Sample size: planned number of observations
105 per treatment
Sample size (or number of clusters) by treatment arms
105 per treatment in total 525
Minimum detectable effect size for main outcomes (accounting for sample design and clustering)
For a t-test, cohen’s D for a 10% difference and a SD of 0.2517 is 0.3973 and for the respective power and significance level we get a sample size of 100.42. (in g-power 101 with an actual power of 0.8023). For a permutation test, we need at least 96 observations to get a power of 0.8367(using bootstrapping given data from Füllbrunn and Luhan (2020) for the same task using their data.
IRB

Institutional Review Boards (IRBs)

IRB Name
University of Portsmouth’s Faculty of Business and Law Ethics Committee
IRB Approval Date
2025-10-13
IRB Approval Number
BAL/2023/12/MANGIN (this study as an amendment to the former IRB Approval

Post-Trial

Post Trial Information

Study Withdrawal

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Intervention

Is the intervention completed?
Yes
Intervention Completion Date
October 16, 2025, 12:00 +00:00
Data Collection Complete
Yes
Data Collection Completion Date
October 16, 2025, 12:00 +00:00
Final Sample Size: Number of Clusters (Unit of Randomization)
Was attrition correlated with treatment status?
No
Final Sample Size: Total Number of Observations
Final Sample Size (or Number of Clusters) by Treatment Arms
200P 106 200T 101 2KT 104 20KT 105 200KT 109
Data Publication

Data Publication

Is public data available?
Yes

Program Files

Program Files
Yes
Reports, Papers & Other Materials

Relevant Paper(s)

Reports & Other Materials