toer: Type 1 Error Rate
In baskexact: Exact Calculation of Basket Trial Operating Characteristics

Description Usage Arguments Details Value Methods (by class) Examples

Computes the exact family wise type 1 error rate of a basket trial .

toer(
  design,
  theta1 = NULL,
  n,
  lambda,
  epsilon,
  tau,
  logbase = 2,
  prune = FALSE,
  results = c("fwer", "group"),
  ...
)

## S4 method for signature 'OneStageBasket'
toer(
  design,
  theta1 = NULL,
  n,
  lambda,
  epsilon,
  tau,
  logbase = 2,
  prune = FALSE,
  results = c("fwer", "group"),
  ...
)

`design`	An object of class `Basket` created by `setupBasket`.
`theta1`	Probabilities under the alternative hypothesis. If `length(theta1) == 1`, then this is a common probability for all baskets. If `is.null(theta1)` then the type 1 error rate under the global null hypothesis is computed.
`n`	The sample size per basket.
`lambda`	The posterior probability threshold. See details for more information.
`epsilon`	A tuning parameter that determines the amount of borrowing. See details for more information.
`tau`	A tuning parameter that determines how similar the baskets have to be that borrowing occurs. See details for more information.
`logbase`	A tuning parameter that determines which logarithm base is used to compute the Jensen-Shannon divergence. See details for more information.
`prune`	Whether baskets with a number of responses below the critical pooled value should be pruned before the final analysis.
`results`	Whether only the family wise error rate (option `fwer`) or also the rejection probabilities per group (option `group`) should be returned.
`...`	Further arguments.

toer computes the exact family wise type 1 error rate and the exact rejection probabilities per group. The family wise type 1 error rate is the probability to reject at least one null hypothesis for a basket with theta1 = theta0. If all theta1 > theta0 then the family wise type 1 error rate under the global null hypothesis is computed. The rejection probabilities correspond to the type 1 error rate for baskets with theta1 = theta 0 and to the power for baskets with theta1 > theta 0.

If prune = TRUE then the baskets with an observed number of baskets smaller than the pooled critical value are not borrowed from. The pooled critical value is the smallest integer c for which all null hypotheses can be rejected if the number of responses is exactly c for all baskets.

This method is implemented for the class OneStageBasket.

If results = "fwer" then the family wise type 1 error rate is returned as a numeric value. If results = "group" then a list with the rejection probabilities per group and the family wise type 1 error rate is returned. If all theta1 > theta0 then the family wise type 1 error rate is calculated under the global null hypothesis. For baskets with theta1 = theta0 the rejection probabilities corresponds to the type 1 error rate, for baskets with theta1 > theta0 the rejection probabilities corresponds to the power.