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Title: Approximation of the breast height diameter distribution of two-cohort stands by mixture models II Goodness-of-fit tests

Author: Podlaski, Rafal; Roesch, Francis .A.;

Date: 2013

Source: Sylwan. 157(9):652-661

Publication Series: Scientific Journal (JRNL)

Description: The goals of this study are (1) to analyse the accuracy of the approximation of empirical distributions of diameter at breast height (dbh) using two-component mixtures of either the Weibull distribution or the gamma distribution in two−cohort stands, and (2) to discuss the procedure of choosing goodness−of−fit tests. The study plots were located in the Świętokrzyski National Park (central Poland) and in the Southern Appalachian Mountains (eastern USA). The results of the goodness-of-fit tests (chi-squared, Kolmogorov-Smirnov, Cramér-von Mises, and Anderson-Darling), normalised bias and normalised root mean square error, indicate that dbh empirical distributions of two-cohort stands are compatible with the mixture models investigated. The chi-squared test and the generalization of the Anderson-Darling test to discrete distributions should be used to assess whether empirical dbh data are consistent with a hypothesized null distribution.

Keywords: Two-component mixtures, tree diameter distribution nonparametric goodness-of-it tests, discrete null distribution.

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Podlaski, Rafal; Roesch, Francis .A. 2013. Approximation of the breast height diameter distribution of two-cohort stands by mixture models II Goodness-of-fit tests. Sylwan. 157(9):652-661. 10 p.


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