## The Annals of Statistics

- Ann. Statist.
- Volume 8, Number 4 (1980), 922-930.

### On Main Effect Plus One Plans for $2^m$ Factorials

#### Abstract

In this paper, we obtain main effect plans with $N = m + 1 + (m - h) (h + 1)$ treatments for $2^m$ factorial experiments, $m = 2^h - 1, h(\geqslant 2)$ an integer, which permit search and estimation of one possible nonzero effect among two factor and higher order interactions.

#### Article information

**Source**

Ann. Statist. Volume 8, Number 4 (1980), 922-930.

**Dates**

First available in Project Euclid: 12 April 2007

**Permanent link to this document**

http://projecteuclid.org/euclid.aos/1176345084

**Digital Object Identifier**

doi:10.1214/aos/1176345084

**Mathematical Reviews number (MathSciNet)**

MR572635

**Zentralblatt MATH identifier**

0453.62062

**JSTOR**

links.jstor.org

**Subjects**

Primary: 62K15: Factorial designs

**Keywords**

Linear models search designs factorial experiments main effect plans

#### Citation

Ghosh, Subir. On Main Effect Plus One Plans for $2^m$ Factorials. Ann. Statist. 8 (1980), no. 4, 922--930. doi:10.1214/aos/1176345084. http://projecteuclid.org/euclid.aos/1176345084.

#### Corrections

- See Correction: Subir Ghosh. Correction: On Main Effect plus One Plans for $2^m$ Factorials. Ann. Statist., Volume 19, Number 4 (1991), 2281--2281.Project Euclid: euclid.aos/1176348402