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e J e 1 = ∑ i = 1 N x i − x ¯ 2, while J e 2 = ∑ j = 1 2 ∑ i = 1 Nj x i − x ¯ j 2. fThe log-likelihood ratio test is calculated as −2 (log likelihood restricted − log likelihood unrestricted).
In all likelihood, restricted supply and decreased capacity to divide are compounding developmental problems of the embryos lacking PTBP1 but further experiments would be required to distinguish between defects in the epiblast and the extra-embryonic supportive structures.
The power of the AML test has been found to be similar to or better than all other tests (rank truncated product, unrestricted maximum likelihood, restricted space maximum likelihood, most significant SNP, Global χ2, Best subset χ2) across a wide range of scenarios for the alternative hypothesis [31].
The parameters σ ε and σ β can be estimated using, for instance, maximum likelihood, restricted maximum likelihood [ 29], or expectation maximization [ 30].
Methods for fitting the multivariate random effects model include maximum likelihood, restricted maximum likelihood, Bayesian estimation and multivariate generalisations of the standard univariate method of moments.
These include maximum likelihood, restricted maximum likelihood (REML; e.g. van Houwelingen et al., 2002; Jackson et al., 2011) and Bayesian estimation (Nam et al., 2003).
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The most popular methods of variance components estimation are maximum likelihood (ML), restricted maximum likelihood (REML), analysis of variance and covariance (ANOVA) and minimum quadratic norm (MINQUE).
It is therefore preferable to fit variance components by maximum likelihood or restricted maximum likelihood, as in Abney et al. (2000), Browning and Browning (2013), and Zaitlen et al. (2013).
Because ArcView GIS relies on either the weighted least-squares method or visual adjustment to create semivariograms, we did not compare the relative performance of semivariograms generated using alternative methods such as maximum likelihood and restricted maximum likelihood.
However, likelihood methods restricted to only one model might perform inadequately when analyzing concatenated datasets [ 60].
Model estimation was done using Maximum Likelihood (rather than Restricted Maximum Likelihood) to permit comparisons among models using Akaike's Information Criterion AICC).
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