Introduction

I chose this paper because it’s an experimental application of Bayes theorem, a ubiquitous framework in the social sciences. Replicating it will require me to internalize the theorem’s basic intuition as well as its more complex manifestations. The experimental paradigm involves a qualitative and computational exploration of how beliefs are updated with evidence. This is a great opportunity to think about how Bayesian principles fits in with people’s real world decision-making, an invaluable tool in a social scientist’s arsenal.

This paper explored participant’s judgments about the likelihood of a hypothetical person being of a particular occupation based on idiosyncratic statistical heuristics. The replication target will be study 5, which will consist of three parts; the first part will query people’s prior, posterior, and likelihood estimates of an air traffic control (ATC) communicator either being male or female; the second part will compute a model posterior for each participant and compare it with their actual posterior; and the third part will have the participants evaluate the moral character of a third party who makes a Bayesian judgment about the same scenario.

If the results of the original study hold, this study expects to find that participants make Bayesian judgments about the ATC scenario, with actual and model posteriors favoring the communicator being male rather than female. A second key finding will be that participants will judge a third party who makes the same Bayesian judgments as themselves as being unfair, unjust, inaccurate and unintelligent.The study is expected to be conducted on Amazon’s task crowd-sourcing marketplace, Mechanical Turk. Some challenges expected include low quality of data due to bots or inattentive participants, and the possibility participants looking up answers to the filler questions about unrelated statistical phenomena.

Link to the repository
Link to the original paper

Methods

Power Analysis

Original effect size, power analysis for samples to achieve 80%, 90%, 95% power to detect that effect size. Considerations of feasibility for selecting planned sample size.

Planned Sample

Planned sample size and/or termination rule, sampling frame, known demographics if any, preselection rules if any.

Materials

All materials - can quote directly from original article - just put the text in quotations and note that this was followed precisely. Or, quote directly and just point out exceptions to what was described in the original article.

Procedure

Can quote directly from original article - just put the text in quotations and note that this was followed precisely. Or, quote directly and just point out exceptions to what was described in the original article.

Analysis Plan

Can also quote directly, though it is less often spelled out effectively for an analysis strategy section. The key is to report an analysis strategy that is as close to the original - data cleaning rules, data exclusion rules, covariates, etc. - as possible.

Clarify key analysis of interest here You can also pre-specify additional analyses you plan to do.

Differences from Original Study

Explicitly describe known differences in sample, setting, procedure, and analysis plan from original study. The goal, of course, is to minimize those differences, but differences will inevitably occur. Also, note whether such differences are anticipated to make a difference based on claims in the original article or subsequent published research on the conditions for obtaining the effect.

Methods Addendum (Post Data Collection)

You can comment this section out prior to final report with data collection.

Actual Sample

Sample size, demographics, data exclusions based on rules spelled out in analysis plan

Differences from pre-data collection methods plan

Any differences from what was described as the original plan, or “none”.

Results

Data preparation

Data preparation following the analysis plan.

Confirmatory analysis

The analyses as specified in the analysis plan.

Side-by-side graph with original graph is ideal here

Exploratory analyses

Any follow-up analyses desired (not required).

Discussion

Summary of Replication Attempt

Open the discussion section with a paragraph summarizing the primary result from the confirmatory analysis and the assessment of whether it replicated, partially replicated, or failed to replicate the original result.

Commentary

Add open-ended commentary (if any) reflecting (a) insights from follow-up exploratory analysis, (b) assessment of the meaning of the replication (or not) - e.g., for a failure to replicate, are the differences between original and present study ones that definitely, plausibly, or are unlikely to have been moderators of the result, and (c) discussion of any objections or challenges raised by the current and original authors about the replication attempt. None of these need to be long.