Sample size (or number of clusters) by treatment arms
Each participant evaluates the same 5 pitch decks. Per pitch decks, we have equal sized cells across 5 combinations of gender:
1) founder: female, implementer: female
2) founder: female, implementer: male
3) founder: male, implementer: male
4) founder: male, implementer: female
5) founder == implementer: female or founder == implementer: male
With our planned sample size of 300 participants, there will be 60 observations by distinct participants in each cell. As we will have the same for each pitch deck, there will be 300 observations per gender combination cell (60 participants per pitch deck multiplied by 5 pitch decks).
The pre-analysis plan specifies how we deal with the multiple observations by participant that we elicit.