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D- and MS-optimal 2-Level Choice Designs for $N\not\equiv 0$ (mod 4)

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Title D- and MS-optimal 2-Level Choice Designs for $N\not\equiv 0$ (mod 4)
 
Creator Singh, Rakhi
Chai, Feng-Shun
Das, Ashish
 
Subject choice sets
choice design
factorial design
main effects
Hadamard matrix
 
Description Street and Burgess (2007) present a comprehensive exposition of designs for choice experiments till then. Our focus is on choice experiments with two-level factors and a main effects model. We consider designs for choice experiment involving $k$ attributes (factors) and all choice sets are of size $m$. We derive a simple form of the Information matrix of a choice design for estimating the factorial effects. For $N$ being the number of choice sets in the design, we obtain $D$- and $MS$-optimal designs in the class of all designs with given $N$, $k$ and $m=2$. For given $N$ and $k$, we show that in many situations $D$-optimal designs for $m=2$ are superior than the optimal design for $m=3$ and $m=5$. Also, $MS$-optimal designs with $m=2$ are always better than the best designs under the same optimality criteria for any odd $m$. Furthermore, with respect to $trace$-optimality, there is no optimal design for $m>2$ which is better than the optimal design for $m=2$.
 
Date 2014-11-22T08:11:00Z
2014-11-22T08:11:00Z
2014-11-22
 
Type Technical Report
 
Identifier http://dspace.library.iitb.ac.in/jspui/handle/100/16234