Randomization, Replication, Blocking
The three principles of experimental design, derived rather than declared
Derives what each of Fisher's three design principles actually buys an estimator, in the language of bias and variance rather than just definitions: randomization's exact unbiasedness proof under Neyman's finite-population model, why replication is what makes an error variance estimable at all (and why the usual variance estimator is conservative, not exact), and blocking's relative-efficiency payoff from moving nuisance variation out of the error term. Ties all three together in a single Monte Carlo simulation comparing a confounded design, a completely randomized design, and a randomized block design on the same field.
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