# power_oneway_ancova: Power Calculations for a one-way ANCOVA In Superpower: Simulation-Based Power Analysis for Factorial Designs

 power_oneway_ancova R Documentation

## Power Calculations for a one-way ANCOVA

### Description

Compute power of ANCOVA omnibus test (power_oneway_ancova) or contrast (power_oneway_ancova) for one-way (single factor), between subjects designs.

### Usage

```power_oneway_ancova(
n = NULL,
mu = NULL,
n_cov = 1,
r2 = NULL,
sd = 1,
alpha_level = Superpower_options("alpha_level"),
beta_level = NULL,
round_up = TRUE,
type = "exact"
)
```

### Arguments

 `n` Sample size in each condition. `mu` Vector specifying mean for each condition. `n_cov` Number of covariates. `r2` Coefficient of determination (r^2) of the combined covariates. `sd` Standard deviation for all conditions (residual SD without covariate adjustment). `alpha_level` Alpha level used to determine statistical significance. `beta_level` Type II error probability (power/100-1) `round_up` Logical indicator for whether to round up the sample size(s) to a whole number. Default is TRUE. `type` Sets the method for estimating power. "exact" will use the Shieh (2020) approach while "approx" will use the Keppel (1991) approach.

### Value

dfs = degrees of freedom, N = Total sample size, n = Sample size per group/condition, n_cov = Number of covariates, mu = Mean for each condition, sd = Standard deviation, r2 = Coefficient of determination of combined covariates. alpha_level = Type 1 error probability, beta_level = Type 2 error probability, power = Power of test (1-beta_level\*100 type = Method (Shieh or Keppel) for estimating power

### References

Keppel, G. (1991). Design and Analysis A Researcher's Handbook. 3rd Edition. Prentice Hall. Englewood Cliffs, New Jersey. See pages 323 - 324. Shieh, G. (2017). Power and sample size calculations for contrast analysis in ANCOVA. Multivariate behavioral research, 52(1), 1-11. Shieh, G. (2020). Power analysis and sample size planning in ANCOVA designs. Psychometrika, 85(1), 101-120.

### Examples

```# Example from Table 1 Shieh 2020
power_oneway_ancova(mu = c(400, 450, 500), n = c(21,21,21),
r2 = .1^2, sd = 100)
```

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