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The effect of variance function estimation on nonlinear calibration inference in immunoassay data.

Publication ,  Journal Article
Belanger, BA; Davidian, M; Giltinan, DM
Published in: Biometrics
March 1996

Often with data from immunoassays, the concentration-response relationship is nonlinear and intra-assay response variance is heterogeneous. Estimation of the standard curve is usually based on a nonlinear heteroscedastic regression model for concentration-response, where variance is modeled as a function of mean response and additional variance parameters. This paper discusses calibration inference for immunoassay data which exhibit this nonlinear heteroscedastic mean-variance relationship. An assessment of the effect of variance function estimation in three types of approximate large-sample confidence intervals for unknown concentrations is given by theoretical and empirical investigation and application to two examples. A major finding is that the accuracy of such calibration intervals depends critically on the nature of response variance and the quality with which variance parameters are estimated.

Duke Scholars

Published In

Biometrics

ISSN

0006-341X

Publication Date

March 1996

Volume

52

Issue

1

Start / End Page

158 / 175

Location

England

Related Subject Headings

  • Swine
  • Statistics & Probability
  • Relaxin
  • Reference Standards
  • Recombinant Proteins
  • Radioimmunoassay
  • Pharmaceutical Preparations
  • Nonlinear Dynamics
  • Monte Carlo Method
  • Immunoassay
 

Citation

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Belanger, B. A., Davidian, M., & Giltinan, D. M. (1996). The effect of variance function estimation on nonlinear calibration inference in immunoassay data. Biometrics, 52(1), 158–175.
Belanger, B. A., M. Davidian, and D. M. Giltinan. “The effect of variance function estimation on nonlinear calibration inference in immunoassay data.Biometrics 52, no. 1 (March 1996): 158–75.
Belanger BA, Davidian M, Giltinan DM. The effect of variance function estimation on nonlinear calibration inference in immunoassay data. Biometrics. 1996 Mar;52(1):158–75.
Belanger, B. A., et al. “The effect of variance function estimation on nonlinear calibration inference in immunoassay data.Biometrics, vol. 52, no. 1, Mar. 1996, pp. 158–75.
Belanger BA, Davidian M, Giltinan DM. The effect of variance function estimation on nonlinear calibration inference in immunoassay data. Biometrics. 1996 Mar;52(1):158–175.
Journal cover image

Published In

Biometrics

ISSN

0006-341X

Publication Date

March 1996

Volume

52

Issue

1

Start / End Page

158 / 175

Location

England

Related Subject Headings

  • Swine
  • Statistics & Probability
  • Relaxin
  • Reference Standards
  • Recombinant Proteins
  • Radioimmunoassay
  • Pharmaceutical Preparations
  • Nonlinear Dynamics
  • Monte Carlo Method
  • Immunoassay