Bootstrap confidence intervals for adaptive cluster sampling.

Abstract:

:Consider a collection of spatially clustered objects where the clusters are geographically rare. Of interest is estimation of the total number of objects on the site from a sample of plots of equal size. Under these spatial conditions, adaptive cluster sampling of plots is generally useful in improving efficiency in estimation over simple random sampling without replacement (SRSWOR). In adaptive cluster sampling, when a sampled plot meets some predefined condition, neighboring plots are added to the sample. When populations are rare and clustered, the usual unbiased estimators based on small samples are often highly skewed and discrete in distribution. Thus, confidence intervals based on asymptotic normal theory may not be appropriate. We investigated several nonparametric bootstrap methods for constructing confidence intervals under adaptive cluster sampling. To perform bootstrapping, we transformed the initial sample in order to include the information from the adaptive portion of the sample yet maintain a fixed sample size. In general, coverages of bootstrap percentile methods were closer to nominal coverage than the normal approximation.

journal_name

Biometrics

journal_title

Biometrics

authors

Christman MC,Pontius JS

doi

10.1111/j.0006-341x.2000.00503.x

subject

Has Abstract

pub_date

2000-06-01 00:00:00

pages

503-10

issue

2

eissn

0006-341X

issn

1541-0420

journal_volume

56

pub_type

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