ump.match.oneProp

a character; direction of the alternative hypothesis H1.
Has to be one of <code>"right"</code> or <code>"left"</code>.Default: <code>"right"</code>.

side

a numeric in <code>(0,1)</code>; prespecified Type 1 error probability.Default: <code>0.005</code>.

type1

a positive numeric (integer); sample size to be used.

a numeric in <code>(0,1)</code>; the hypothesized value of proportion under the simple null hypothesis.Default is <code>0.5</code>.

In one-sample proportion tests in a fixed design, this function solves for \(\delta\) by matching the rejection region from the UMPBT with that of the corresponding UMP (fixed design) test. Basically, this solves equation (20) in the supplemental information.

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.

Sandipan Pramanik

MSPRT

A Modified Sequential Probability Ratio Test (MSPRT)

Valen E. Johnson

Anirban Bhattacharya

ump.match.oneProp function

a character; direction of the alternative hypothesis H1.
Has to be one of <code>"right"</code> or <code>"left"</code>.

Default: <code>"right"</code>.

a numeric in <code>(0,1)</code>; prespecified Type 1 error probability.

Default: <code>0.005</code>.

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

Default is <code>0.5</code>.

ump.match.oneProp: Finding the "evidence threshold (\(\delta\))" in one-sample proportion tests in a fixed design

Description

Usage

Arguments

References

Examples