- From literature I have a theoretically proposed value for human performance in a particular task.
- I want to experimentally measure performance in this task across a sample of humans and test whether the result I get is equivalent to the theoretical value.
- It seems that a Single Sample Equivalence Test can do this.
Given that I do not know population variance, or mean, only sample variance and mean, how can I go about a power analysis to calculate the sample size I need to use?
I have so far looked into the R packages PowerTOST and Equivalence, but have been confused somewhat by the fact that "single-sample" TOST is quite rare, I don't understand what the "theta0" value is and the fact co-efficient of variance seems to be calculated from population rather than the sample. If possible I would like to use R to do this, though I am open to other free solutions.