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The Form and Estimation of a Variance Function, with Particular Reference to Radioimmunoassay

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  • D. J. Finney
  • Patricia Phillips

Abstract

Radioimmunoassay techniques involve counts of radioactivity of fractions of labelled samples. For potency estimation, account must be taken of dependence of variance of count on expectation of count, the variance usually being substantially greater than Poissonian. The paper is concerned with maximum likelihood estimation of the variance function, using either a quadratic or an exponential model. Only two parameters are of interest, but hundreds of nuisance parameters may be present. The numerical example that illustrates the technique of estimation shows a poor fit: the reasons are discussed, as also are reasons for regarding the estimated function as useful.

Suggested Citation

  • D. J. Finney & Patricia Phillips, 1977. "The Form and Estimation of a Variance Function, with Particular Reference to Radioimmunoassay," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 26(3), pages 312-320, November.
    • Handle: RePEc:bla:jorssc:v:26:y:1977:i:3:p:312-320
    DOI: 10.2307/2346972
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