Results 31 to 40 of about 201 (66)
Three Properties of F-Statistics for Multiple Regression and ANOVA [PDF]
arXiv, 2022 This paper establishes three properties of F-statistics for inference about the mean vector in multiple regression and analysis of variance. The extra SSE due to imposing a set of linear conditions on the model tests the estimable part of those conditions.
arxiv
Two factor saturated designs: cycles, Gini index and state polytopes [PDF]
, 2014 In this paper we analyze and characterize the saturated fractions of two-factor designs under the simple effect model. Using Li et al.ear algebra, we define a criterion to check whether a given fraction is saturated or not.
Aoki S. +14 more
core +1 more source
Statistical modeling for experiments with sliding levels [PDF]
IMS Lecture Notes Monograph Series 2006, Vol. 52, 245-256, 2007 Design of experiment with related factors can be implemented by using the technique of sliding levels. Taguchi (1987) proposed an analysis strategy by re-centering and re-scaling the slid factors. Hamada and Wu (1995) showed via counter examples that in many cases the interactions cannot be completely eliminated by Taguchi's strategy.
arxiv +1 more source
Quarter-fraction factorial designs constructed via quaternary codes
, 2009 The research of developing a general methodology for the construction of good nonregular designs has been very active in the last decade. Recent research by Xu and Wong [Statist.
Phoa, Frederick K. H., Xu, Hongquan
core +2 more sources
The algebraic method in experimental design [PDF]
arXiv, 2012 The algebraic method provides useful techniques to identify models in designs and to understand aliasing of polynomial models. The present note surveys the topic of Gr\"obner bases in experimental design and then describes the notion of confounding and the algebraic fan of a design.
arxiv
Approximate theory-aided robust efficient factorial fractions under baseline parametrization [PDF]
arXiv, 2014 With reference to a baseline parametrization, we explore highly efficient fractional factorial designs for inference on the main effects and, perhaps, some interactions. Our tools include approximate theory together with certain carefully devised discretization procedures.
arxiv
Testing Longitudinal Data by Logarithmic Quantiles [PDF]
, 2014 The shoulder tip pain study of Lumley [13] is re-investigated. It is shown that the new logarithmic quantile estimation (LQE) technique in [9] applies and behaves well under singular covariance structure and small sample sizes as in the shoulder tip pain
Denker, Manfred, Tabacu, Lucia
core +2 more sources
On construction of optimal mixed-level supersaturated designs
, 2011 Supersaturated design (SSD) has received much recent interest because of its potential in factor screening experiments. In this paper, we provide equivalent conditions for two columns to be fully aliased and consequently propose methods for constructing $
Lin, Dennis K. J. +2 more
core +1 more source
On supersaturated experimental design [PDF]
, 2012 is available in the PDF ...
Ahlinder, Sven, Gustafsson, Ivar
core +2 more sources
Optimal Designs for Second-Order Interactions in Paired Comparison Experiments with Binary Attributes [PDF]
arXiv, 2018 In paired comparison experiments respondents usually evaluate pairs of competing options. For this situation we introduce an appropriate model and derive optimal designs in the presence of second-order interactions when all attributes are dichotomous.
arxiv