2 research outputs found
Multivariate analysis of covariance and some applications of it
No full textIn many physical problems we make use of experimental data in which each measured unit is characterized by a definite system of properties. A large number of such properties are necessary to interpret the results of an experiment. However, complete information can be used only if all properties observed during the experiment are considered simultaneously. For this reason the application of multivariate analysis of variance or covariance is justified when processing data with many properties.
In this work we discuss the theory and practical applications of univariate and multivariate analysis of covariance. This work is a continuation of
a paper by B. Ceranka and the author [Mat. Stos. (3) 4 (1975), 65–75; MR0451560], and generalizes multivariate analysis of covariance for block designs
to an arbitrary experimental arrangement. A general linear model of multivariate analysis of covariance, a special case of which yields analysis of variance
and regression analysis, is given in Chapter 1. Chapter 2 is devoted to analysis of covariance in one and many variables and to the testing of hypotheses
concerning the main and auxiliary variables. In this chapter we introduce estimators for the matrices of regression coefficients of the main variables
relative to the auxiliary variables and for the matrix of parameters. Formulas are given for the sums of squares and for the matrices of the sums of squares
which are needed in hypothesis testing in the analysis of covariance. Practical applications of multivariate analysis of covariance are illustrated
with an example of the growth of plants. (MR0483212
Megalomma roulei
No full textMegalomma roulei (Gravier, 1908b, figured in 1909) insertae sedis Branchiomma roulei Gravier, 1908b: 44.— Gravier, 1909: 120–122, Pl. 10, Figs 70–77. Megalomma roulei.— Hartman, 1969: 710–712, Figs 1–4.— Knight-Jones, 1997: 314. Remarks. Megalomma roulei was described originally as Branchiomma from Payta (Peru); however, the original description is brief, lacking diagnostic features and illustrations. Eyes, chaetae and uncini were figured in Gravier 1909: Pl. X, Figs 70–77. Hartman (1969) recorded the species from Corona del Mar, southern California, but her diagnosis is a translation of original description by Gravier (1908), illustrations were redrawn from Gravier, 1909 and her material was not located at LACM in order to confirm identification. At the end of her diagnosis (pp. 710) she stated that “The record from California may refer to Megalomma pigmentum, if it is show that the oculate radioles have short, instead of long free tips”. During 2009, the first author (MAT-H) visited the MCZ where types were not found.Published as part of Tovar-Hernández, María Ana & Carrera-Parra, Luis F., 2011, Megalomma Johansson, 1925 (Polychaeta: Sabellidae) from America and other world-wide localities, and phylogenetic relationships within the genus 2861, pp. 1-71 in Zootaxa 2861 (1) on page 52, DOI: 10.11646/zootaxa.2861.1.1, http://zenodo.org/record/528635
