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On the theory of (M,S) optimality in incomplete block designs

Creator:: Jacroux, Michael Allen
Resource Type:: Dissertation
Full Text:: DESIGNS Abstract approved: Redacted for Privacy Justus F. Seely The problem considered is the

Hypothesis testing for the parameters of a convariance matrix having linear structure

Creator:: ElBassiouni, Mohamed Yahia
Resource Type:: Dissertation
Full Text:: .\\Justus F. Seely We consider the general family of multivariate normal distributions where the mean

Large sample efficiencies of invariant quadratic unbiased estimators

Creator:: Poulsen, Neil Kenneth
Abstract:: This dissertation examines limiting efficiencies of quadratic unbiased estimators for the variance in the two variance component mixed model. The set of quadratic unbiased estimators considered includes the minimal complete class. A theorem is proved which shows that, in certain cases, a relatively simple expression converges to the same value...
Resource Type:: Dissertation
Full Text:: INVARIANT QUADRATIC UNBIASED ESTIMATORS Redacted for privacy Abstract approved Justus F. Seely / This

Maximin-efficient admissible linear unbiased estimation in mixed linear models

Creator:: McClellan, Paul James
Resource Type:: Dissertation
Full Text:: Unbiased Estimation in Mixed Linear Models Abstract approved: Redacted for privacy Justus F. Seely

Testing fixed effects in mixed linear models

Creator:: Rady, El-Houssainy Abdelbar
Abstract:: This dissertation is concerned with hypothesis testing for fixed effects in mixed linear models. Our primary emphasis is on mixed models when the class of covariance matrices has what we call a rich linear structure. Such models include mixed ANOVA models and regression models with heteroscedastic variances. For the majority...
Resource Type:: Dissertation
Full Text:: for Privacy David_.S., Biz).e& Redacted for Privacy Justus F. Seely --c-- This dissertation is

On admissibility among affine sets of linear estimators

Creator:: Pereira, Clifford Brian
Abstract:: We describe a general finite-dimensional inner product space setting for studying the characterization of admissible linear estimators. We extend the results of LaMotte (1982) and derive necessary and sufficient conditions for an estimator to be admissible among an arbitrary affine set of linear estimators when they are compared using quadratic...
Resource Type:: Dissertation
Full Text:: Redacted for Privacy Abstract approved: Justus F. Seely We describe a general finitedimensional inner

Improving on the intra-block estimator via a nonlinear normal equation estimator

Creator:: El-Arishy, Samia Mosaad Aly
Resource Type:: Dissertation
Full Text:: Nonlinear Normal Equation Estimator Abstract approved: Redacted for privacy Justus F. Seely We consider

Nonlinear unbiased estimators that dominate the intra-block estimator

Creator:: Saleh, Amina Ali Abd El-Fattah
Resource Type:: Dissertation
Full Text:: that Dominate the Intra-block Estimator. Redacted for privacy Abstract approved: Justus F. Seely In

Confidence intervals for variance components

Creator:: Purdy, Kathleen G.
Abstract:: Measuring the source and magnitude of components of variation has important applications in industrial, environmental and biological studies. This thesis considers the problem of constructing confidence intervals for variance components in Gaussian mixed linear models. A number of methods based on the usual ANOVA mean squares have been proposed for...
Resource Type:: Dissertation
Full Text:: . CONTRIBUTION OF AUTHORS Drs. Justus F. Seely and Youngjo Lee were involved in the development and editing

Testing hypotheses using unweighted means

Creator:: Park, Byung S.
Abstract:: Testing main effects and interaction effects in factorial designs are basic content in statistics textbooks and widely used in various fields. In balanced designs there is general agreement on the appropriate main effect and interaction sums of squares and these are typically displayed in an analysis of variance (ANOVA). A...
Resource Type:: Dissertation
Full Text:: Unweighted Means Abstract approved: Justus F. Seely Testing main effects and interaction effects in

ScholarsArchive@OSU

On the theory of (M,S) optimality in incomplete block designs

Hypothesis testing for the parameters of a convariance matrix having linear structure

Large sample efficiencies of invariant quadratic unbiased estimators

Maximin-efficient admissible linear unbiased estimation in mixed linear models

Testing fixed effects in mixed linear models

On admissibility among affine sets of linear estimators

Improving on the intra-block estimator via a nonlinear normal equation estimator

Nonlinear unbiased estimators that dominate the intra-block estimator

Confidence intervals for variance components

Testing hypotheses using unweighted means

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