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The purpose of this note is to derive a design criterion that can be used by investigators Who wish to perform experiments to discriminate among rival models when the variance σ2 is unknown. As would be expected, when the number of experiments is large, the expression for this design criterion is almost equivalent to replacing σ2 in the corresponding equation for the case where the variance is known with a suitable estimate s 2.
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Hill et al. (1969) studied this question.
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