ImpreciseTask {betareg}

Imprecise Probabilities for Sunday Weather and Boeing Stock Task

Description

In this study participants were asked to estimate upper and lower probabilities for event to occur and not to occur.

Usage

data(ImpreciseTask)

Format

A data frame with 242 observations on the following 3 variables.

task

a factor with levels Boeing stock and Sunday weather.

location

a numeric vector of the average of the lower estimate for the event not to occur and the upper estimate for the event to occur.

difference

a numeric vector of the differences of the lower and upper estimate for the event to occur.

Details

All participants in the study were either first- or second-year undergraduate students in psychology, none of whom had a strong background in probability or were familiar with imprecise probability theories.

For the sunday weather task see WeatherTask. For the Boeing stock task participants were asked to estimate the probability that Boeing's stock would rise more than those in a list of 30 companies.

For each task participants were asked to provide lower and upper estimates for the event to occur and not to occur.

Source

Taken from Smithson et al. (2011) supplements.

References

Smithson, M., Merkle, E.C., and Verkuilen, J. (2011). Beta Regression Finite Mixture Models of Polarization and Priming. Journal of Educational and Behavioral Statistics, 36(6), 804–831. doi: 10.3102/1076998610396893

Smithson, M., and Segale, C. (2009). Partition Priming in Judgments of Imprecise Probabilities. Journal of Statistical Theory and Practice, 3(1), 169–181.

Examples

data("ImpreciseTask", package = "betareg")
library("flexmix")
wt_betamix <- betamix(location ~ difference * task, data = ImpreciseTask, k = 2,
  extra_components = extraComponent(type = "betareg", coef =
    list(mean = 0, precision = 8)),
  FLXconcomitant = FLXPmultinom(~ task))