Algorithms for Computing Operating Characteristic and Average Sample Number Functions for Sequential Sampling Plans Based on Binomial Count Models and Revised Plans for European Red Mite (Acari: Tetranychidae) on Apple

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Abstract:

Algorithms and computer code (Fortran 77) were developed for computing operating characteristic (OC) and average sample number (ASN) functions for sequential classification sampling plans based on presence-absence counts. Two models that relate the proportion of sample units with more than T (tally threshold) organisms (PT) to mean density (m) were considered; an empirical model of the form In(-In(l-PT)) = 'Y + cSln(m) where m is the mean density, and the negative binomial distribution (NBD). The algorithms compute OC and ASN for nominal model parameters and for model parameters used to characterize the effect of P, - m model variability on the OC and ASN functions. Changes in the OC and ASN functions as a result of change in the PT - m model are a measure of the robustness of the sampling procedure. Both PT - m models provided good descriptions of counts of European red mite (Panonychus ulmi (Koch), on apple trees, Malus domestica (Borkh). The robustness of sampling plans that used T = 0 was poor. Expected OC and ASN functions for sampling plans based on the two PT - m models were similar. Robustness of sampling plans based on NBD improved significantly with larger values of T. When sampling using thresholds of 2.5, 5.0, and 7.5 mites per leaf, recommended values of Tare 4, 6, and 6, respectively.

Document Type: Research Article

Publication date: August 1, 1992

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  • Journal of Economic Entomology is published bimonthly in February, April, June, August, October, and December. The journal publishes articles on the economic significance of insects and is divided into the following sections: apiculture & social insects; arthropods in relation to plant disease; forum; insecticide resistance and resistance management; ecotoxicology; biological and microbial control; ecology and behavior; sampling and biostatistics; household and structural insects; medical entomology; molecular entomology; veterinary entomology; forest entomology; horticultural entomology; field and forage crops, and small grains; stored-product; commodity treatment and quarantine entomology; and plant resistance. In addition to research papers, Journal of Economic Entomology publishes Letters to the Editor, interpretive articles in a Forum section, Short Communications, Rapid Communications, and Book Reviews.
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