The Annals of Statistics

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

Subir Ghosh

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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.


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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.