## Electronic Journal of Statistics

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

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

Jyoti Divecha and Jignesh Gondaliya

#### 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