Testing against umbrella or tree orderings for binomial proportions with an adaptation of an insect resistance case.

Franco-Pereira, A M; Nakas, C T; Athanassiou, C G; Pardo, M C (2020). Testing against umbrella or tree orderings for binomial proportions with an adaptation of an insect resistance case. Biometrical journal, 62(6), pp. 1574-1588. Wiley-VCH 10.1002/bimj.201900272

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Alternative hypotheses for order restrictions, such as umbrella or inverse umbrella (a.k.a tree) orderings, have been studied extensively in the literature, although less so when the studied response for each individual is the presence or absence of the event of interest. Two families of test statistics for solving the problem of testing against an umbrella or a tree ordering when the responses are binomial proportions are studied in this work and their asymptotic distributions are derived. A simulation study is conducted to compare the empirical power of some members of the derived families of test statistics with competing approaches. The methodology developed here was driven by an applied problem arising in stored products research where despite universal mortality in the case of doses of 1000 ppm of the insecticide phosphine, unexpected survival was noted at higher doses.

Item Type:

Journal Article (Original Article)

Division/Institute:

04 Faculty of Medicine > Department of Haematology, Oncology, Infectious Diseases, Laboratory Medicine and Hospital Pharmacy (DOLS) > Institute of Clinical Chemistry

UniBE Contributor:

Nakas, Christos T.

Subjects:

600 Technology > 610 Medicine & health

ISSN:

0323-3847

Publisher:

Wiley-VCH

Language:

English

Submitter:

Karin Balmer

Date Deposited:

09 Nov 2020 12:03

Last Modified:

09 Nov 2020 12:03

Publisher DOI:

10.1002/bimj.201900272

PubMed ID:

32449566

Uncontrolled Keywords:

chi-squared test statistic likelihood ratio test statistic power divergence tree ordering umbrella ordering

BORIS DOI:

10.7892/boris.147794

URI:

https://boris.unibe.ch/id/eprint/147794

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