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Running head : Approximate REML sampling variances Approximation of Sampling Variances and Confidence Intervals for Maximum Likelihood Estimates of Variance Components
| Content Provider | Semantic Scholar |
|---|---|
| Author | Meyer, Karin Hill, W. G. |
| Copyright Year | 2001 |
| Abstract | After reviewing pertinent literature on the estimation of sampling variances and confidence intervals in the maximum likelihood framework, a method to approximate these for individual parameters in a multi-parameter analysis is described. It is based on the profile likelihood, defined as the likelihood for a subset of parameter(s) of interest with the remaining parameters equal to their maximum likelihood estimates given the former. The formation (= inverse of information) matrix for the parameters of the profile likelihood is equal to the corresponding submatrix from the full likelihood. The likelihood ratio test for composite hypotheses effectively compares points on the profile likelihood surface for the parameters tested. Hence sampling errors and confidence intervals for each parameter can be estimated considering its profile likelihood. This can be approximated fitting a one-dimensional quadratic or higher order polynomial function. Numerical examples for a balanced hierarchical full-sib design are given. Address for correspondence : Animal Genetics and Breeding Unit, University of New England, Armidale NSW 2351, Australia |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://didgeridoo.une.edu.au/km/PublishedPaps/profile.pdf |
| Alternate Webpage(s) | http://agbu.une.edu.au/~kmeyer/PublishedPaps/profile.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Approximation algorithm Confidence Intervals Cooperative breeding Estimated Numerical integration Numerous Parasitic Diseases, Animal Polynomial Population Parameter Random effects model Relevance Review [Publication Type] Sample Variance Sampling (signal processing) Sampling - Surgical action Subgroup Variance reduction likelihood ratio |
| Content Type | Text |
| Resource Type | Article |
