How to properly perform an ANOVA, single values for each participant or average values? I have a question on how to "prepare" data for an ANOVA.
Imagine I have 20 subjects and each subject has to eat 10 waffles, 10 pancakes, 10 eggs, 10 sausages. This is repeated 3 times with different "eating techniques" (Each subject actually eats 3x40 objects then). This is just a weird example, just imagine they could eat infinitely without drawback.
I always measure the time it takes to eat a single object. I want to find out if the eating techniques have significant influence on the time to eat an object.
How would I "feed" this data to the ANOVA? Would I take all single values (time to eat an object) which would result in F(2,740) or the mean values (average time to eat all objects) for each subject F(2,17)?
Sorry if this is a rather dumb question, I am new to statistics and never had a university course about it.

The answer depends on whether you want to distinguish among 3 eating techniques "in general", or whether you need to know whether eating techniques may have different consequences depending on type of food consumed (waffles, pancakes, eggs, sausages).
Begin by making a list of 'factors' that are important to you and (where possible) what interactions may be important. Make the design just intricate enough for your needs.
If you are going to make ad hoc comparisons for significant effects, then make sure you have enough replications to provide necessary power
under the rules to avoid false discovery.
Note: I suppose times to eat food is a fictitious example to avoid public discussion of
your actual project. If your actual project involves waiting times
to do something, then you need to consider that real-world waiting times are often best modeled by an exponential distribution, which would pose a
difficulty in a standard ANOVA that assumes normal data.
