Coin_Flips {metaggR} | R Documentation |
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:
Symmetric: All judges saw their own unique sample of flips. There are a total of 72 judgment tasks under this condition.
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.
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.
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
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 j
th element is a vector of the judges' estimated proportions in the j
th 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 j
th element is a vector of the judges' estimated proportions in the j
th 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 j
th element is a vector of the judges' estimated proportions in the j
th 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 j
th element is a vector of the judges' predictions of others in the j
th 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 j
th element is a vector of the judges' predictions of others in the j
th 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 j
th element is a vector of the judges' predictions of others in the j
th task.
THETA_COINS_SYMMETRIC
is a vector of the actual proportions of heads under the Symmetric condition.
Specifically, the j
th element is the actual proportion of heads in the j
th task.
THETA_COINS_NESTED
is a vector of the actual proportions of heads under the Nested condition.
Specifically, the j
th element is the actual proportion of heads in the j
th task.
THETA_COINS_NESTED_SYMMETRIC
is a vector of the actual proportions of heads
under the Nested-Symmetric condition.
Specifically, the j
th element is the actual proportion of heads in the j
th task.
ID_COINS_SYMMETRIC
is a list of the judges' identification numbers in the judgment tasks
under the Symmetric condition.
Specifically, the j
th element is a vector of identification numbers of judges' who participated in
estimating the proportion of heads in the j
th 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 j
th element is a vector of identification numbers of judges' who participated in
estimating the proportion of heads in the j
th 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 j
th element is a vector of identification numbers of judges' who participated in
estimating the proportion of heads in the j
th task.
These values make it possible to track a judge across judgment tasks.
The elements of each list correspond to the same meal. For instance, the j
th 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 j
th task under the Symmetric condition.
Asa Palley and Jack Soll. "Extracting the Wisdom of Crowds When Information Is Shared." doi: 10.1287/mnsc.2018.3047