# power_oneway_within: Analytic power calculation for one-way within designs. In Superpower: Simulation-Based Power Analysis for Factorial Designs

 power_oneway_within R Documentation

## Analytic power calculation for one-way within designs.

### Description

Analytic power calculation for one-way within designs.

### Usage

```power_oneway_within(design_result, alpha_level = 0.05)
```

### Arguments

 `design_result` Output from the ANOVA_design function `alpha_level` Alpha level used to determine statistical significance

### Value

mu = means

sigma = standard deviation

n = sample size

alpha_level = alpha level

Cohen_f = Cohen's f

f_2 = Cohen's f squared

lambda = lambda

F_critical = Critical F-value

power = power

df1 = degrees of freedom for the effect

df2 = degrees of freedom of the error

eta_p_2 = partial eta-squared

mean_mat = matrix of the means

### Examples

```## Set up a within design with 3 factors,
## with correlation between observations of 0.8,
## 40 participants (who do all conditions), and standard deviation of 2
## with a mean pattern of 1, 0, 1, conditions labeled 'condition' and
## 'voice', with names for levels of "cheerful", "neutral", "sad".
design_result <- ANOVA_design(design = "3w", n = 40, r = 0.8,
mu = c(1, 0, 1), sd = 2,
labelnames = c("condition", "cheerful", "neutral", "sad"))
power_result <- power_oneway_within(design_result, alpha_level = 0.05)
```

Superpower documentation built on May 17, 2022, 5:08 p.m.