Calculate the difference between the p-value and a p-value threshold for the two types of observation model

A helper function for sens_obs_two_types() see find_p_two_types() for details.

Usage

find_odds_two_types(
  omega,
  obs_support,
  total_obs,
  rival_obs,
  weights,
  p_threshold
)

omega: Candidate odds ratio being evaluated by the root finder.
obs_support: An integer representing the number of observations in favor of the working hypothesis. Must be less than or equal to total_obs.
total_obs: An integer representing the total number of observations made. It can be greater than or equal to the obs_support.
rival_obs: Optional. An integer representing the number of observations in the urn that do not support the working theory.
weights: Double vector. Default is equal weight for each observation when weights=NULL is rep(1,obs_support). To indicate that one observation should have twice the weight of any other one might use rep(c(2,1),c(1,obs_support-1))
p_threshold: A number between 0 and 1 indicating the critical value of the test.