Sentence examples for matrices and multivariate from inspiring English sources

Specific metabolic derangements linked, in part, to altered gut microbial metabolism were revealed through the use of correlation matrices and multivariate statistics.

A Hessian matrix and multivariate optimization methods are used to examine and obtain the optimal solution of the mathematical model.

We produced a multivariate Wald test on these coefficients predicted in each country, accounting for the associated (co variance matrix and assuming multivariate normality.

The band patterns generated were transformed into a presence/absence matrix and a multivariate approach was used to test for differences in the locations.

These results generalize naturally to the concept of G matrix and the multivariate Lande's equation Δ z ¯ = G P − 1 S.

An adaptive Markov Chain Monte Carlo (MCMC) algorithm is employed to perform the estimation by using another scaling parameter, a Z matrix and a multivariate normal distribution.

We can fit a linear regression between data vector Y and an explanatory variable X using this variance-covariance matrix and the multivariate normal distribution: (1) Y | X ∼ N (Xβ, Σ ) where β is a vector of regression coefficients.

Because both sides of the cranium were used, only the symmetric components of the averaged (left and right sides of the skull) landmarks were used for calculating a covariance matrix and subsequent multivariate analyses.

For general repeated measures designs the Wald-type statistic (WTS) is an asymptotically valid procedure allowing for unequal covariance matrices and possibly non-normal multivariate observations.

Chow et al evaluated the suitability of different quality control and preprocessing strategies for use with partially degraded RNA samples on the Illumina DASL-based gene expression assay using mean inter-array correlation and multivariate distance matrix regression (MDMR) as a measure of success [ 11].

This paper also, investigates a new and simple method for adaptively refining the covariance matrices of multivariate Gaussian distributions used in the proposed updating strategies.