R A Fisher

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Natural selection is a mechanism for generating an exceedingly high degree of improbability.
To call in the statistician after the experiment is done may be no more than asking him to perform a postmortem examination: he may be able to say what the experiment died of.
Indian Statistical Congress, Sankhya, ca 1938.
The analysis of variance is not a mathematical theorem, but rather a convenient method of arranging the arithmetic.
Inductive inference is the only process known to us by which essentially new knowledge comes into the world.