On the Use of Parallel or Nonparallel Systems of Transformed Curves in Bioassay: Illustration in the Quantitative Complement-Fixation Test

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Abstract
A desideratum of a valid system of bioassay is that the log dose-response curves have the same shape. This is equivalent to the condition that the curves be transformable to a system of parallel straight lines with log dose as abscissa and some univariant function of response (such as the probit or the logit) as ordinate. This paper examines the conditions under which such a stipulation is justified, suggests other possible conditions where such a stipulation would be invalid yet where valid systems for bioassay by curve fitting may exist, and provides illustrations from complement-fixation reactions.
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