Sampling-Skewed Biological Populations: Behavior of Confidence Intervals for the Population Total

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dc.contributorVirginia Techen
dc.contributor.authorGregoire, Timothy G.en
dc.contributor.authorSchabenberger, Oliveren
dc.contributor.departmentForest Resources and Environmental Conservationen
dc.date.accessed2014-03-11en
dc.date.accessioned2014-03-27T13:06:00Zen
dc.date.available2014-03-27T13:06:00Zen
dc.date.issued1999-04en
dc.description.abstractFour populations were repeatedly sampled with the aim of examining interval estimation of the cumulative amount, T, of some characteristic that has a positively skewed distribution, a feature of many biological populations. With samples of various sizes, the empirical sampling distribution of the simple expansion estimator was remarkably symmetric and approximately normal, as was that of the customary ratio-of-means estimator. While the nominal coverage rate of (1 - alpha)100% intervals based on the Student's t distribution was nearly achieved in all cases, there was a substantially greater tendency for such intervals to fail from below rather than above. This behavior is attributed to the strong positive correlation between the estimator of the population total and the corresponding estimator of its variance when sampling from a finite, and perforce nonnormal, population.en
dc.identifier.citationTimothy G. Gregoire and Oliver Schabenberger 1999. Sampling-Skewed Biological Populations: Behavior of Confidence Intervals for the Population Total. Ecology 80:1056-1065. http://dx.doi.org/10.1890/0012-9658(1999)080[1056:SSBPBO]2.0.CO;2en
dc.identifier.doihttps://doi.org/10.1890/0012-9658(1999)080[1056:ssbpbo]2.0.co;2en
dc.identifier.issn0012-9658en
dc.identifier.urihttp://hdl.handle.net/10919/46820en
dc.identifier.urlhttp://www.esajournals.org/doi/pdf/10.1890/0012-9658%281999%29080%5B1056%3ASSBPBO%5D2.0.CO%3B2en
dc.language.isoenen
dc.publisherEcological Society of Americaen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectasymmetryen
dc.subjectfailure ratesen
dc.subjectnormalityen
dc.subjectsimple random samplingen
dc.subjectsizeen
dc.titleSampling-Skewed Biological Populations: Behavior of Confidence Intervals for the Population Totalen
dc.title.serialEcologyen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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