JSM 2004 - Toronto

Abstract #300724

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Activity Number: 377
Type: Contributed
Date/Time: Wednesday, August 11, 2004 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics and the Environment
Abstract - #300724
Title: A Sampling Protocol for Design-unbiased Estimation in Line Intersect Sampling Using Segmented Transects
Author(s): David L.R. Affleck*+
Companies: Yale University
Address: 210 Prospect St., New Haven, CT, 06511,
Keywords: line intersect sampling ; design-unbiasedness ; intersection ; segmented transects
Abstract:

In many applications of line intersect sampling, transects consisting of multiple, connected segments in a prescribed configuration are employed. Although the transect configuration influences the selection probabilities of discrete population elements, estimators for straight-line transects are not, in general, design-unbiased when applied to data from segmented transects. An amended sampling protocol, applicable to populations of arbitrarily shaped particles, is therefore proposed. The protocol obviates the arbitrary practice of treating multiple intersections of a single element as independent probabilistic events and preserves the design-unbiasedness of Kaiser's conditional and unconditional estimators, suitably generalized to multisegmented transect designs. Although design-unbiasedness can thus be ensured, the efficiency and utility of segmented transect designs from a fixed population perspective remains an open question.

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