# power_twoway_between: Analytic power calculation for two-way between designs. In Superpower: Simulation-Based Power Analysis for Factorial Designs

## Description

Analytic power calculation for two-way between designs.

## Usage

 `1` ```power_twoway_between(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_A = Cohen's f for main effect A

Cohen_f_B = Cohen's f for main effect B

Cohen_f_AB = Cohen's f for the A*B interaction

f_2_A = Cohen's f squared for main effect A

f_2_B = Cohen's f squared for main effect B

f_2_AB = Cohen's f squared for A*B interaction

lambda_A = lambda for main effect A

lambda_B = lambda for main effect B

lambda_AB = lambda for A*B interaction

critical_F_A = critical F-value for main effect A

critical_F_B = critical F-value for main effect B

critical_F_AB = critical F-value for A*B interaction

power_A = power for main effect A

power_B = power for main effect B

power_AB = power for A*B interaction

df_A = degrees of freedom for main effect A

df_B = degrees of freedom for main effect B

df_AB = degrees of freedom for A*B interaction

df_error = degrees of freedom for error term

eta_p_2_A = partial eta-squared for main effect A

eta_p_2_B = partial eta-squared for main effect B

eta_p_2_AB = partial eta-squared for A*B interaction

mean_mat = matrix of the means

## Examples

 ```1 2 3 4``` ```design_result <- ANOVA_design(design = "2b*2b", n = 40, mu = c(1, 0, 1, 0), sd = 2, labelnames = c("condition", "cheerful", "sad", "voice", "human", "robot")) power_result <- power_twoway_between(design_result, alpha_level = 0.05) ```

### Example output

```Registered S3 methods overwritten by 'lme4':
method                          from
cooks.distance.influence.merMod car
influence.merMod                car
dfbeta.influence.merMod         car
dfbetas.influence.merMod        car
```

Superpower documentation built on May 25, 2021, 9:07 a.m.