calc_next: Calculate response probability for the next patient
Description
This function is meant to be used in the context of a
clinical trial with a binary endpoint. For the two-sample case, the total
number of events in the standard-of-care arm is y0 and the total number of
events in the experimental arm is y1. The function samples from the posterior
beta distribution based on the data and the prior beta hyperparameters, and
returns the empiric mean and bootstrap confidence interval for the next
patient. The empiric mean represents the probability of the binary outcome
occurring in the next patient.
The one-sample case is also available.
Usage
calc_next(y, n, prior = c(0.5, 0.5), S = 5000, interval = 0.95)
Value
Returns a tibble with the group indicator (for the two-sample case
only), the empiric mean, the bootstrap confidence interval, and the
specified width of the confidence interval.
Arguments
y
number of events observed so far. Vector of length two c(y0, y1)
for the two-sample case; integer y for the one-sample case.
n
sample size observed so far. Vector of length two c(n0, n1)
for the two-sample case; integer n for the one-sample case.
prior
vector of length two containing hyperparameters of the prior
beta distribution. c(0.5, 0.5) is default, for the Beta(0.5, 0.5)
distribution.
S
number of samples, default is 5000
interval
a value between 0 and 1 indicating the width of the desired
interval, default is 0.95