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    Probability estimation in group screening designs with put errors in decisions

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    Date
    2012
    Author
    Muhua, GO
    Ottieno, Jam
    Owino, O
    Type
    Article
    Language
    en
    Metadata
    Show full item record

    Abstract
    Sometimes due to confidentiality purposes, the objective is to estimate the proportion P of individuals that posses a certain characteristic, such as a blood disease or an antibody, without necessarily identifying the individuals. In such a case, testing blood samples from k individuals may result in an estimator of P with substantial lower mean square error than traditional estimator. The mean square error varies with k and P , and we show a method for choosing the optimal value of k . Practical considerations as applied to determining proportions of people with a disease are discussed. Substantial cost savings may result when the prevalence of a disease is low.
    URI
    http://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/33001
    Citation
    The East African Journal of Statistics Volume 5, Number I, pp. 97-106
    Publisher
    School of Mathematics, University of Nairobi
    Subject
    Group screening
    Group testing
    Maximum likelihood estimation
    Mean squared error,
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    • Faculty of Science & Technology (FST) [4253]

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