The Annals of Statistics

Optimal Two-Period Repeated Measurements Designs

A. Hedayat and W. Zhao

Full-text: Open access

Abstract

For the class of repeated measurements designs based on $t$ treatments, $n$ experimental units and two periods, the following results are obtained. 1. The equivalence of the information matrices of such repeated measurements designs and of certain block designs is established. The implication of this equivalence on the optimality of both repeated measurements designs and block designs is explored. 2. A family of universally optimal designs or $A$-optimal designs is constructed depending whether or not $n$ divides $t$. 3. Families of optimal designs for residual effects and for comparing test treatments with a control are constructed.

Article information

Source
Ann. Statist., Volume 18, Number 4 (1990), 1805-1816.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176347879

Digital Object Identifier
doi:10.1214/aos/1176347879

Mathematical Reviews number (MathSciNet)
MR1074436

Zentralblatt MATH identifier
0714.62067

JSTOR
links.jstor.org

Subjects
Primary: 62K05: Optimal designs
Secondary: 62K10: Block designs

Keywords
Crossover designs changeover designs clinical trial residual effect universal optimality $A$-optimality correlated errors standard control $MV$-optimality

Citation

Hedayat, A.; Zhao, W. Optimal Two-Period Repeated Measurements Designs. Ann. Statist. 18 (1990), no. 4, 1805--1816. doi:10.1214/aos/1176347879. https://projecteuclid.org/euclid.aos/1176347879


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Corrections

  • See Correction: A. Hedayat, W. Zhao. Correction: Optimal Two-Period Repeated Measurements Designs. Ann. Statist., Volume 20, Number 1 (1992), 619--619.