Now showing items 1-10 of 10
Decomposition tables for experiments. II. Two–one randomizations
(2010-10) - Journal article,
We investigate structure for pairs of randomizations that do not follow each other in a chain. These are unrandomized-inclusive, independent, coincident or double randomizations. This involves taking several structures ...
Decomposition tables for experiments I. A chain of randomizations
(2009-12) - Journal article,
One aspect of evaluating the design for an experiment is the discovery of the relationships between subspaces of the data space. Initially we establish the notation and methods for evaluating an experiment with a single ...
Inference from randomized (factorial) experiments
(2017) - Journal article,
This is a contribution to the discussion of the interesting paper by Ding [Statist. Sci. 32 (2017) 331–345], which contrasts approaches attributed to Neyman and Fisher. I believe that Fisher’s usual assumption was ...
Estimability of variance components when all model matrices commute
(2016-03-01) - Journal article,
This paper deals with estimability of variance components in mixed models when all model matrices commute. In this situation, it is well known that the best linear unbiased estimators of fixed effects are the ordinary least ...
On optimality and construction of circular repeated-measurements designs
(2017-01) - Journal article,
The aim of this paper is to characterize and construct universally optimal designs among the class of circular repeated-measurements designs when the parameters do not permit balance for carry-over effects. It is shown ...
Nested row-column designs for near-factorial experiments with two treatment factors and one control treatment
(2015-10) - Journal article,
This paper presents some methods of designing experiments in a block design with nested rows and columns. The treatments consist of all combinations of levels of two treatment factors, with an additional control treatment.
Optimal cross-over designs for full interaction models
(2014-11) - Journal article,
We consider repeated measurement designs when a residual or carry-over effect may be present in at most one later period. Since assuming an additive model may be unrealistic for some applications and leads to biased ...
Sesqui-arrays, a generalisation of triple arrays
(2018) - Journal article,
A triple array is a rectangular array containing letters, each letter occurring equally often with no repeats in rows or columns, such that the number of letters common to two rows, two columns, or a row and a column are ...
Randomization-based models for multitiered experiments: I. A chain of randomizations
(2016-06) - Journal article,
We derive randomization-based models for experiments with a chain of randomizations. Estimation theory for these models leads to formulae for the estimators of treatment effects, their standard errors, and expected mean ...
Relations among partitions
(Cambridge University Press, 2017) - Book item,
Combinatorialists often consider a balanced incomplete-block design to consist of a set of points, a set of blocks, and an incidence relation between them which satisfies certain conditions. To a statistician, such a design ...