Assessment of Sampling Stability in Ecological Applications of Discriminant Analysis

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dc.contributorVirginia Techen
dc.contributor.authorWilliams, B. K.en
dc.contributor.authorTitus, K.en
dc.contributor.departmentFish and Wildlife Conservationen
dc.date.accessed2014-03-11en
dc.date.accessioned2014-03-27T13:05:58Zen
dc.date.available2014-03-27T13:05:58Zen
dc.date.issued1988-08en
dc.description.abstractA simulation study was undertaken to assess the sampling stability of the variable loadings in linear discriminant function analysis. A factorial design was used for the factors of multivariate dimensionality, dispersion structure, configuration of group means, and sample size. A total of 32 400 discriminant analyses were conducted, based on data from simulated populations with appropriate underlying statistical distributions. Results from the simulations suggest that minimum sample sizes must exceed multivariate dimensionality by at least a factor of three to achieve reasonable levels of stability in discriminant function loadings. However, the requisite sample size would vary with respect to each of the design factors and, especially, with the overall amount of system variation. A review of 60 published studies and 142 individual analyses indicated that sample sizes in ecological studies often have met that requirement. However, individual group sample sizes frequently were very unequal, and checks of assumptions usually were not reported. We recommend that ecologists obtain group sample sizes that are at least three times as large as the number of variables measured.en
dc.identifier.citationByron K. Williams and Kimberly Titus 1988. Assessment of Sampling Stability in Ecological Applications of Discriminant Analysis. Ecology 69:1275-1285. http://dx.doi.org/10.2307/1941283en
dc.identifier.doihttps://doi.org/10.2307/1941283en
dc.identifier.issn0012-9658en
dc.identifier.urihttp://hdl.handle.net/10919/46812en
dc.identifier.urlhttp://www.jstor.org/stable/1941283en
dc.language.isoen_USen
dc.publisherEcological Society of Americaen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectcanonical variatesen
dc.subjectclassificationen
dc.subjectdiscriminant function analysisen
dc.subjectsample sizeen
dc.subjectstability in discriminant function loadingsen
dc.titleAssessment of Sampling Stability in Ecological Applications of Discriminant Analysisen
dc.title.serialEcologyen
dc.typeArticle - Refereeden

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