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

 power_threeway_between R Documentation

## Analytic power calculation for three-way between designs.

### Description

Analytic power calculation for three-way between designs.

### Usage

```power_threeway_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 (default to 0.05)

### 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_C = Cohen's f for main effect C

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

Cohen_f_AC = Cohen's f for the A*C interaction

Cohen_f_BC = Cohen's f for the B*C interaction

Cohen_f_ABC = Cohen's f for the A*B*C 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_C = Cohen's f squared for main effect C

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

f_2_AC = Cohen's f squared for A*C interaction

f_2_BC = Cohen's f squared for B*C interaction

f_2_ABC = Cohen's f squared for A*B*C interaction

lambda_A = lambda for main effect A

lambda_B = lambda for main effect B

lambda_C = lambda for main effect C

lambda_AB = lambda for A*B interaction

lambda_AC = lambda for A*C interaction

lambda_BC = lambda for B*C interaction

lambda_ABC = lambda for A*B*C interaction

critical_F_A = critical F-value for main effect A

critical_F_B = critical F-value for main effect B

critical_F_C = critical F-value for main effect C

critical_F_AB = critical F-value for A*B interaction

critical_F_AC = critical F-value for A*C interaction

critical_F_BC = critical F-value for B*C interaction

critical_F_ABC = critical F-value for A*B*C interaction

power_A = power for main effect A

power_B = power for main effect B

power_C = power for main effect C

power_AB = power for A*B interaction

power_AC = power for A*C interaction

power_BC = power for B*C interaction

power_ABC = power for A*B*C interaction

df_A = degrees of freedom for main effect A

df_B = degrees of freedom for main effect B

df_C = degrees of freedom for main effect C

df_AB = degrees of freedom for A*B interaction

df_AC = degrees of freedom for A*C interaction

df_BC = degrees of freedom for B*C interaction

df_ABC = degrees of freedom for A*B*C 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_C = partial eta-squared for main effect C

eta_p_2_AB = partial eta-squared for A*B interaction

eta_p_2_AC = partial eta-squared for A*C interaction

eta_p_2_BC = partial eta-squared for B*C interaction

eta_p_2_ABC = partial eta-squared for A*B*C interaction

mean_mat = matrix of the means

### References

```design_result <- ANOVA_design(design = "2b*2b*2b", n = 40,