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The Use of Replicates in Logistic Measurement Error Modelling

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  • Magne Thoresen
  • Petter Laake

Abstract

The use of replicates is essential in logistic measurement error models with random, additive error, as it gives a consistent estimate of the variance of the measurement error. In this paper, we investigate two different aspects of the use of replicates. We look into the efficiency gain in using more than two replicates in situations where the replicates are correlated. We find that, unlike the situation with independent replicates, the efficiency gain is an almost linear function of the number of replicates. Further, we study the allocation of replicates among study subjects, and find that the optimal way of doing this is to allocate few replicates to as many subjects as possible, rather than allocating many replicates to fewer subjects.

Suggested Citation

  • Magne Thoresen & Petter Laake, 2003. "The Use of Replicates in Logistic Measurement Error Modelling," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 30(3), pages 625-636, September.
  • Handle: RePEc:bla:scjsta:v:30:y:2003:i:3:p:625-636
    DOI: 10.1111/1467-9469.00354
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    Cited by:

    1. Sukhbir Singh & Kanchan Jain & Suresh Sharma, 2014. "Replicated measurement error model under exact linear restrictions," Statistical Papers, Springer, vol. 55(2), pages 253-274, May.

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