Trend-free Repeated Measurement Designs

Afsarinejad, Kasra

doi:10.1007/978-3-642-57576-1_1

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Cited by 2 publications

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“…In cross-over studies for the behavioural and life sciences, learning effects or fatigue of the test subjects may cause an important order effect. Afsarinejad (2001) accounts for the presence of a time trend and derives some rules to construct trend-free repeated measures designs for treatment comparisons. However, he does not consider the possibility of correlated error terms.…”

Section: Literature Reviewmentioning

confidence: 99%

Trend-resistant and cost-efficient cross-over designs for mixed models

Tack

Vandebroek

2004

Computational Statistics & Data Analysis

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Section: Literature Reviewmentioning

confidence: 99%

Trend-resistant and cost-efficient cross-over designs for mixed models

Tack

Vandebroek

2004

Computational Statistics & Data Analysis

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“…So there is need to obtain robust designs for bioequivalence trials in the presence of systematic trend. Afsarinejad (2001) investigated the existence and nonexistence of trend-free repeated measurement designs. Bhowmik et al (2014) studied block model with neighbour effects from adjacent experimental units incorporating trend component and derived the necessary and sufficient condition for a block design with neighbour effects to be trend free.…”

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confidence: 99%

Trend resistant designs for bioequivalence assessment of veterinary medicinal products

SAURAV

Varghese

Jaggi

2020

Indian J of Anim Sci

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In veterinary medicinal trials, formulations are to be applied to the animals sequentially over time due to scarcity of homogeneous and healthy animals for experimentation, leading to carryover effects. Further, in such trials, many a times it may be required to compare some new (test) formulations to a previously well established (reference) formulation. Bioequivalence trials, using designs balanced for carryover effects, are advantageous for such situations. As experimental units are used sequentially over periods, there is a possibility that a systematic effect, or trend, influences the observations in addition to the experimental unit effect, formulation effect and carryover effect. Condition have been derived for designs for bioequivalence trials balanced for carryover effects to be trend-free and a method of constructing a class of such designs had also been developed. When trend effects are suspected, trend free designs are to be selected for experimentation and data need to be analyzed accordingly.

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Trend-free Repeated Measurement Designs

Abstract: The existence and non-existence of trend-free repeated measurement designs are investigated. Two families of efficient / optimal trend-free repeated measurement designs have been identified and methods of construction of these designs are presented.

Cited by 2 publications

References 48 publications

Trend-resistant and cost-efficient cross-over designs for mixed models

Trend-resistant and cost-efficient cross-over designs for mixed models

Trend resistant designs for bioequivalence assessment of veterinary medicinal products

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