Sorry, your terminology is confusing to me. A nested design is a description of the relationship between components of variation in a study. Nesting implies that one (or more) components is contingent/dependent on another (e.g., within batch variation (W) is nested in batch-to-batch variation (B)). Also know as a hierarchical study. The model is written as such Y = B + W[B]
Binomial (in statistics) is a description of the distribution with the following characteristics:
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You have a fixed number of trials (nn)
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Each trial has only two possible outcomes (e.g., success/failure, yes/no, head/tail)
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The probability of success (pp) is the same for each trial
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Trials are independent (what happens in one doesn’t affect the others)
Perhaps you can share your situation, your predicted model and how the data will be acquired?
"All models are wrong, some are useful" G.E.P. Box