objfunc.oneProp

a numeric in <code>(0,1)</code>; the value of proportion.

a positive numeric; corresponding to this \(\delta\), the UMPBT(\(\delta\)) alternative is obtained.

delta

a positive numeric (integer); number of samples to be used.

a numeric in <code>(0,1)</code>; the hypothesized value of proportion under the simple null.

This is the \(h(p, \delta)\) function as in the supplemental file. Given a \(\delta\), we optimize this function to get the UMPBT(\(\delta\)) alternative for one-sample proportion tests in a fixed design.

A modified SPRT (MSPRT) can be designed and implemented with the help of this package. In a
MSPRT design, (i) the maximum sample size of an experiment is fixed prior to the start of an
experiment; (ii) the alternative hypothesis used to define the rejection region of the test is derived
from the size of the test (Type I error), the maximum available sample size (N), and (iii) the targeted Type 2
error (equals to 1 minus the power) is also prespecified. Given these values, the MSPRT is defined in a
manner very similar to Wald's initial proposal. This test can reduce the average sample size required to
perform statistical hypothesis tests at the specified level of significance and power. This package
implements one-sample proportion tests, one-sample Z-tests, one-sample T-tests, two-sample
Z-tests and two-sample T-tests. A user guidance for this package is provided here.
One can also refer to the supplemental information for the same.

objfunc.oneProp: Objective function for determining the UMPBT point alternative in one-sample proportion tests

Description

Usage

Arguments

Value

References

Examples