Based on the Mediation model, I have 2 parallel mediators for which I would like to calculate the sample size based on a power of 0.80 and a medium effect size. Is what I had input correct?
Determining the sample size for a Monte Carlo power analysis for a mediation model with two parallel mediators can be done using a sample size calculator or by performing the calculations manually.
When performing the calculations manually, you will need to specify the following:
Power: The desired power level, typically set at 0.80.
Effect size: The medium effect size you expect to find. Cohen's d or the correlation coefficient (r) are commonly used measures of effect size.
Alpha level: The level of significance you will use for your test, typically set at 0.05.
Number of groups: The number of groups in your study, typically 2 for a mediation model.
Number of mediators: The number of parallel mediators in your study, typically 2 for this case.
Number of covariates: The number of covariates in your model, if any.
You can use a sample size calculator to determine the sample size based on the above input. However, it's important to note that power analysis is an estimation, and the actual power of the study might be different.
It's also important to note that the sample size is just one of many factors that can affect the power of a study. Other factors, such as measurement error and the strength of the relationship between the variables, should also be considered when planning a study.