restricted_mle: Restricted MLE of variance

In NourHawila/EC: Exact-corrected confidence interval and other useful functions to analyze noninferiority binomial trials

Description

This function calculates the maximum likelihood estimator (MLE) of the variance restricted to P.T-P.C=-Delta.

Usage

restricted_mle(x.T, x.C, N.T, N.C, Delta)

Arguments

x.T	positive integer representing the observed number of responders in the treatment group
x.C	positive integer representing the observed number of responders in the control group
N.T	positive integer representing the sample size in the treatment group
N.C	positive integer representing the sample size in the control group
Delta	numeric between -1 and 1 representing the constraint for P.C-P.T

Value

list of length 2 where the first element is MR.T representing the MLE for the treatment group and the second element is MR.C representing the MLE for the control group

References

\insertRef

Miettinen:85EC

Examples

#calculates MLE of variance of 5/10 and 7/10 under the constraint P.T=P.C-0.2
restricted_mle(x.T=5,x.C=7,N.T=10,N.C=10,Delta=0.2)

NourHawila/EC documentation built on Feb. 24, 2022, 8:24 a.m.