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Journal of statistical theory and practice | 2018

Optimal two-level choice designs for estimating main and specified two-factor interaction effects

Feng-Shun Chai; Ashish Das; Rakhi Singh

Under the multinomial logit model, designs for choice experiments are usually based on an a priori assumption that either only the main effects of the factors or the main effects and all two-factor interaction effects are to be estimated. However, in practice, there are situations where interest lies in the estimation of main plus some two-factor interaction effects. For example, interest on such specified two-factor interaction effects arise in situations when one or two factor(s) like price and/or brand of a product interact individually with the other factors of the product. For two-level choice experiments with n factors, we consider a model involving the main plus all two-factor interaction effects, with our interest lying in the estimation of the main effects and a specified set of two-factor interaction effects. The two-factor interaction effects of interest are either (i) one factor interacting with each of the remaining n − 1 factors or (ii) each of the two factors interacting with each of the remaining n − 2 factors. For the two models, we first characterize the information matrix and then construct universally optimal choice designs for choice set sizes 3 and 4.


Biometrika | 2015

Optimal two-level choice designs for any number of choice sets

Rakhi Singh; Feng-Shun Chai; Ashish Das


Archive | 2016

A unified approach to choice experiments

Ashish Das; Rakhi Singh


Statistics & Probability Letters | 2019

On three-level D-optimal paired choice designs

Rakhi Singh


Statistica Sinica | 2019

Optimal Paired Choice Block Designs

Rakhi Singh; Ashish Das; Feng-Shun Chai


Journal of Combinatorial Designs | 2018

New lower bounds for t-coverings

Daniel Horsley; Rakhi Singh


Statistics & Probability Letters | 2017

Three-level A- and D-optimal paired choice designs

Feng-Shun Chai; Ashish Das; Rakhi Singh


Metrika | 2017

Efficient paired choice designs with fewer choice pairs

Aloke Dey; Rakhi Singh; Ashish Das


Journal of Statistical Planning and Inference | 2017

E(s2)- and UE(s2)-optimal supersaturated designs

Ching-Shui Cheng; Ashish Das; Rakhi Singh; Pi Wen Tsai


Archive | 2015

On optimal two-level supersaturated designs

Rakhi Singh; Ashish Das

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