Coin_Flips {metaggR}

Data: Coin Flips

Description

Palley and Soll (2019) recruited individuals on Amazon Mechanical Turk and asked them to estimate the proportion of heads in 100 flips of a biased two-sided coin. The probability of heads was unknown to the participants, who were told that it could be anywhere between 1% and 99%. Before responding, each judge was shown a sample of flips that all judges saw (shared information) and another sample of flips that was only seen by that individual or by a subset of judges (private information). Three information structures were considered:

1. Symmetric: All judges saw their own unique sample of flips. There are a total of 72 judgment tasks under this condition.

2. Nested: Some judges saw only the shared sample while others saw an additional common sample. There are a total of 24 judgment tasks under this condition.

3. Nested-Symmetric: Some judges saw only the shared sample while others saw their own additional sample of flips. There are a total of 24 judgment tasks under this condition.

Usage

E_COINS_SYMMETRIC

E_COINS_NESTED

E_COINS_NESTED_SYMMETRIC

P_COINS_SYMMETRIC

P_COINS_NESTED

P_COINS_NESTED_SYMMETRIC

THETA_COINS_SYMMETRIC

THETA_COINS_NESTED

THETA_COINS_NESTED_SYMMETRIC

ID_COINS_SYMMETRIC

ID_COINS_NESTED

ID_COINS_NESTED_SYMMETRIC

Format

E_COINS_SYMMETRIC

is a list of the judges' estimates of the proportion of heads in 100 flips of a biased two-sided coin under the Symmetric condition. Specifically, the jth element is a vector of the judges' estimated proportions in the jth task.

E_COINS_NESTED

is a list of the judges' estimates of the proportion of heads in 100 flips of a biased two-sided coin under the Nested condition. Specifically, the jth element is a vector of the judges' estimated proportions in the jth task.

E_COINS_NESTED_SYMMETRIC

is a list of the judges' estimates of the proportion of heads in 100 flips of a biased two-sided coin under the Nested-Symmetric condition. Specifically, the jth element is a vector of the judges' estimated proportions in the jth task.

P_COINS_SYMMETRIC

is a list of the judges' predictions of other judges' average estimate of the proportion of heads in 100 flips of a biased two-sided coin under the Symmetric condition. Specifically, the jth element is a vector of the judges' predictions of others in the jth task.

P_COINS_NESTED

is a list of the judges' predictions of other judges' average estimate of the proportion of heads in 100 flips of a biased two-sided coin under the Nested condition. Specifically, the jth element is a vector of the judges' predictions of others in the jth task.

P_COINS_NESTED_SYMMETRIC

is a list of the judges' predictions of other judges' average estimate of the proportion of heads in 100 flips of a biased two-sided coin under the Nested-Symmetric condition. Specifically, the jth element is a vector of the judges' predictions of others in the jth task.

THETA_COINS_SYMMETRIC

is a vector of the actual proportions of heads under the Symmetric condition. Specifically, the jth element is the actual proportion of heads in the jth task.

THETA_COINS_NESTED

is a vector of the actual proportions of heads under the Nested condition. Specifically, the jth element is the actual proportion of heads in the jth task.

THETA_COINS_NESTED_SYMMETRIC

is a vector of the actual proportions of heads under the Nested-Symmetric condition. Specifically, the jth element is the actual proportion of heads in the jth task.

ID_COINS_SYMMETRIC

is a list of the judges' identification numbers in the judgment tasks under the Symmetric condition. Specifically, the jth element is a vector of identification numbers of judges' who participated in estimating the proportion of heads in the jth task. These values make it possible to track a judge across judgment tasks.

ID_COINS_NESTED

is a list of the judges' identification numbers in the judgment tasks under the Nested condition. Specifically, the jth element is a vector of identification numbers of judges' who participated in estimating the proportion of heads in the jth task. These values make it possible to track a judge across judgment tasks.

ID_COINS_NESTED_SYMMETRIC

is a list of the judges' identification numbers in the judgment tasks under the Nested-Symmetric condition. Specifically, the jth element is a vector of identification numbers of judges' who participated in estimating the proportion of heads in the jth task. These values make it possible to track a judge across judgment tasks.

Remark.

The elements of each list correspond to the same meal. For instance, the jth elements of THETA_COINS_SYMMETRIC, E_COINS_SYMMETRIC, P_COINS_SYMMETRIC, and ID_COINS_SYMMETRIC represent the true proportion, estimates, the predictions of others, and identification numbers associated with the jth task under the Symmetric condition.

Source

Asa Palley and Jack Soll. "Extracting the Wisdom of Crowds When Information Is Shared." doi: 10.1287/mnsc.2018.3047