Record Details

DSpace at IIT Bombay

View Archive Info
 

Metadata

 
Field Value
 
Title PSEUDO GENERALIZED YOUDEN DESIGNS
 
Names Das, Ashish
Horsley, Daniel
Rakhi, Singh
Date Issued 2017-04-19 (iso8601)
Abstract Sixty years ago, Kiefer (1958) introduced generalized Youden designs (GYDs) for eliminating heterogeneity in two directions. A GYD is a row-column design whose k rows form a balanced block design
(BBD) and whose b columns do likewise. Later Cheng (1981a) introduced pseudo Youden designs (PYDs) in which k = b and where the k rows and the b columns, considered together as blocks, form a
BBD. Kiefer (1975a) proved a number of results on the optimality of GYDs. A PYD has the same optimality properties as a GYD. In the present paper, we introduce and investigate pseudo generalized Youden designs (PGYDs) which generalise both GYDs and PYDs. A PGYD is a row-column design where the k rows and b columns, considered together as blocks, form an equireplicate generalized binary variance balanced design. Every GYD is a PGYD and a PYD is
exactly a PGYD with k = b. We show, however, that there are situations where a PGYD exists but neither a GYD nor a PYD does. We obtain necessary conditions, in terms of v, k and b, for the existence
of a PGYD. Using these conditions, we provide an exhaustive list of parameter sets satisfying v \leq 25; k \leq 50; b \leq 50 for which a PGYD exists. We construct families of PGYDs using patchwork methods based on affine planes.
Genre Technical Report
Topic Generalized Youden Design
Identifier http://dspace.library.iitb.ac.in/xmlui/handle/100/18432