# fix_calc: Conducted a study with a fixed sample size and normally... In vanLunteren/plan_norm: R-tool for planning clinical studies on normally distributed data

## Description

This is an auxiliary function of 'fix_sample_pow' and 'pow'. It is conducting a study with fixed sample size and normally distributed data. The calculated value of the test statistic is compared directly with the corresponding quantile of the normal distribution.

## Usage

 `1` ```fix_calc(N0, sd_ber, delta = 0, Delta, test = 1, alpha = 0.05, beta = 0.2) ```

## Arguments

 `N0` Number. Size of the originally planned sample size. `sd_ber` Number. Actual standard deviation in the data. `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. `Delta` Number. Relevant difference of expected values in the alternative hypothesis. `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. `alpha` Number. Desired alpha-level of the test. If not specified, alpha is set to 0.05. `beta` Number. Acceptable beta error of the test. If not specified, beta is set to 0.2.

## Value

This function returns a value if the simulation study rejects (1) or can not reject (0) the
null hypothesis.

## Author(s)

Csilla van Lunteren

@seealso `test_h0`

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