Summary A modification to the least‐squares estimating equations in simple linear regression, leading to exact distribution‐free inference about slope, is outlined. The modification involves a general residual‐transformation iψ and the cases of ψ— sign, rank, and the identity are discussed in some detail. It is also shown how exact inference about individual parameters in regressions with more than one design variable can be carried out by a restricted permutation argument coupled with a suitable design.
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Brown et al. (1982) studied this question.
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