Sensitivity analysis for urn models with two types of information
sens_urn.RdA function that allows the researcher to calculate the odds of drawing a working theory supporting observation over a rival theory supporting observation required to increase a p-value to above a certain value.
Arguments
- obs_support
An integer representing the number of observations in favor of the working hypothesis. Must be less than or equal to the total.
- total_obs
An integer representing the total number of observations
- weights
A vector of numeric weights representing the differential evidentiary weight of the working theory supporting observations.
- p_threshold
A decimal (Double). The p-value threshold. Default is p=.05.
Value
A list with two elements:
(1) in w the differential odds of observing a working theory supporting observation over a rival theory supporting observation.
(2) in p The p-value given the found w.
Examples
# What is the odds that would bring our p=.02 to p \approx .05
find_p_two_types(obs_support = 7, total_obs = 10, odds = 1)
#> [1] 0.01864802
sens_urn(obs_support = 7, total_obs = 10, p_threshold = .05)$w
#> [1] 1.58928
# Notice that this is correct:
find_p_two_types(obs_support = 7, total_obs = 10, odds = 1.58928)
#> [1] 0.04999995