Electronic Journal of Statistics

Construction of minimal balanced cross over designs having good efficiency of separability

Jyoti Divecha and Jignesh Gondaliya

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Abstract

Minimal balanced cross over designs having lesser, equal and more periods than the number of treatments are constructed using directed m-terraces and their modified forms. A complementary pair and trio of the terraces constructs a cross over design with lesser periods while a uniform terrace yields a uniform cross over design. Two new series of cross over designs in even number of treatments have been obtained. All the designs possess good efficiency of separability and therefore they are suitable for the estimation of direct and first order carry over effects of treatments. A list of terraces for the construction of minimal balanced cross over designs having three to nine treatments is given.

Article information

Source
Electron. J. Statist., Volume 8, Number 2 (2014), 2923-2936.

Dates
First available in Project Euclid: 9 January 2015

Permanent link to this document
https://projecteuclid.org/euclid.ejs/1420815882

Digital Object Identifier
doi:10.1214/14-EJS979

Mathematical Reviews number (MathSciNet)
MR3299127

Zentralblatt MATH identifier
1308.62153

Subjects
Primary: 62K05: Optimal designs 62K25: Robust parameter designs
Secondary: 62K10: Block designs

Keywords
Cross over direct effect minimal directed m-terrace carry over effect

Citation

Divecha, Jyoti; Gondaliya, Jignesh. Construction of minimal balanced cross over designs having good efficiency of separability. Electron. J. Statist. 8 (2014), no. 2, 2923--2936. doi:10.1214/14-EJS979. https://projecteuclid.org/euclid.ejs/1420815882


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