taNegbin.LimitRestMLE: taNegbin.LimitRestMLE

In ThreeArmedTrials: Design and Analysis of Clinical Non-Inferiority or Superiority Trials with Active and Placebo Control

taNegbin.LimitRestMLE

Description

Limit of restricted maximum-likelihood estimator in case of negative binomial distributed endpoints

Usage

taNegbin.LimitRestMLE(
  rateExp1,
  rateRef1,
  ratePla1,
  shape1,
  Delta,
  allocation = c(1/3, 1/3, 1/3)
)

Arguments

rateExp1	A numeric value specifying the rate of the experimental treatment group in the alternative hypothesis
rateRef1	A numeric value specifying the rate of the reference treatment group in the alternative hypothesis
ratePla1	A numeric value specifying the rate of the placebo treatment group in the alternative hypothesis
shape1	A numeric value specifying the shape parameter
Delta	A numeric value specifying the non-inferiority/superiority margin
allocation	A (non-empty) vector specifying the sample size allocation (wExp, wRef, wPla)

Value

A list containing the following components:

rateExp0, rateRef0, rateRef0	The limit of the maximum-likelihood estimator for the rates when estimated restricted to the boundary of the null hypothesis
shape0	The limit of the maximum-likelihood estimator for the shape parameter when estimated restricted to the boundary of the null hypothesis
sigma2.rest	The limit of the maximum-likelihood variance estimator for the Wald-type test when restricted to the boundary of the null hypothesis

ThreeArmedTrials documentation built on Dec. 28, 2022, 2:06 a.m.