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A note on optimal designs for a two-part model

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  • Han, Cong

Abstract

D- and DA-optimal designs are investigated for a model where the response is a mixture of zero and a lognormal random variable, and can be modelled using a logit model combined with a linear regression on the logarithm of the lognormal part. The DA-optimal design for estimating the logit model parameters is shown to coincide with the D-optimal design for the usual logit model. The DA-optimal design for estimating the linear model parameters is derived analytically. Among two-point designs, an analytic solution is given for the design that maximizes the D-optimality.

Suggested Citation

  • Han, Cong, 2003. "A note on optimal designs for a two-part model," Statistics & Probability Letters, Elsevier, vol. 65(4), pages 343-351, December.
    • Handle: RePEc:eee:stapro:v:65:y:2003:i:4:p:343-351
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    References listed on IDEAS

    as
    1. Krafft, Olaf & Schaefer, Martin, 1992. "D-Optimal designs for a multivariate regression model," Journal of Multivariate Analysis, Elsevier, vol. 42(1), pages 130-140, July.
    2. Zhou Xiao-Hua & Wanzhu Tu, 1999. "Comparison of Several Independent Population Means When Their Samples Contain Log-Normal and Possibly Zero Observations," Biometrics, The International Biometric Society, vol. 55(2), pages 645-651, June.
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