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Under the multivariate normality model, the covariance between family members can be expressed as a function of their kinship coefficients and this can be utilized to estimate heritability.
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The statistical maximum likelihood model used to generate these estimated effects assumes multivariate normality of the model residuals, linear relationships, and homoscedasticity.
The third assumption made by MEM is the multivariate normality of the model coefficient vector (see Review of Mixed Effects Model, Supporting Information).
The condom use outcome was normally distributed, and we estimated the three-level hierarchical linear model using restricted maximum likelihood (REML) that assumes multivariate normality for the model residuals.
When the data fits the model, multivariate normality is assumed [ 31].
In addition to assumptions about multivariate normality of residuals, the unrestricted model assumes that the observed variables are linearly related.
The analysis of such multivariate data is usually based on MANOVA models assuming multivariate normality and covariance homogeneity.
The results indicated that multivariate normality was not observed in this model.
Univariate and multivariate normality are assumed in structural equation modeling (SEM) because nonnormal data can produce biased parameter estimates [ 31].
Maximum Likelihood Estimation method is a superior method for dealing with missing data with structural equation modelling by assuming multivariate normality [ 14].
The observed SNP matrix Z, represented in minor allele count and take value of 0,1, or 2, is related to W in the following way: To enable development of a computationally feasible algorithm, our model includes several reasonable assumptions: 1. Multivariate normality: We assume that gene expression and SNP genotypes follow a multivariate normal distribution.
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