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Variance-sample size relationships for incomplete mixtures

✍ Scribed by J.R. Bourne

Publisher: Elsevier Science
Year: 1967
Tongue: English
Weight: 659 KB
Volume: 22
Category: Article
ISSN: 0009-2509
DOI: 10.1016/0009-2509(67)80053-8

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✦ Synopsis

For a random mixture the variance of sample compositions decays inversely as the sample size, whilst for a totally segregated mixture it is independent of sample size. An analysis of an intermediate mixture, in whichcompositions are correlated according to the tirst order, auto regressive sequence, Eq. ( 3), is given and yields exact equations for (a) linear or elongated samples, Eq. ( 5) and(b) spherical or compact samples, Eq. ( 6). The variance-sample size relationship is thus influenced by (a) the type of correlation inherent in the mixture and (b) the type of sampling. Available experimental data support the prediction for spherical samples and detailed suggestions are made for refining these experiments.

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