The data is measured in two biological replicates with two technical replicates, each.
- Each variable might be detected only in one or more replicates, in the others it is considered missing at random.
- Each variable is measured with zero (missing) to dozens of data points in each experiment.
- Each measurement comes with its own estimated variance
The question for each variable (which was detected at least once): Does its mean deviate from 0? We can assume that the data is normally distributed.
What would be an appropriate test to apply to this data with randomness on many levels?