# test_h0: Comparison of a test statistic with the associated... In vanLunteren/plan_norm: R-tool for planning clinical studies on normally distributed data

## Description

This is an important secondary function. It checks whether the corresponding null hypothesis can be rejected by a calculated test statistic. Three cases of hypotheses can be considered: test for superiority, test for non-inferiority, test for difference. The test statistic is compared with the corresponding quantiles of the t-distribution.

## Usage

 `1` ```test_h0(test = 1, T, n1, n2, alpha = 0.05, delta = 0) ```

## Arguments

 `test` Number. What type of hypothesis test should be performed, one-sided (Superiority/ Non-Inferiority test) or two-sided (Test for difference). One-sided (test = 1): Superiortity H0: mu_x - mu_y <= 0 vs. H1: mu_x - mu_y > 0 Non-Inferiority H0: mu_x - mu_y >= delta vs. H1: mu_x - mu_y < delta Two-sided (test = 2): Difference H0: |mu_x - mu_y| = 0 vs. H1: |mu_x - mu_y| != 0 Attention: Choice of delta. (see `delta`) If not specified, the one-Sided Test (Superiority/ Non-Inferiority Test) is used. `T` Number. Value of the calculated test statistic. `n1` Number. sample size of the first sample. `n2` Number. sample size of the second sample. `alpha` Number. Desired alpha-level of the test. If not specified, alpha is set to 0.05. `delta` Number. Expectation difference of two samples. If you select a test for superiority/ difference then select 'delta = 0'. Only if you select a test for non-inferiority you can select 'delta != 0'. Attention: If you chose 'test = 1' and 'delta != 0', the test for non-inferiority will automatically be applied. If not specified, delta is set to 0.

## Details

The aim of this function is to simplify the application of test decisions in hypothesis tests.

## Value

The value 0 or 1 will be returned.
0 means the null hypothesis can not be rejected to the level alpha.
1 means the null hypothesis is rejected to the level alpha.

## Author(s)

Csilla van Lunteren

vanLunteren/plan_norm documentation built on May 20, 2019, 12:32 p.m.