Operations, Information and Decisions Papers

Document Type

Journal Article

Date of this Version

1980

Publication Source

Biometrika

Volume

67

Issue

2

Start Page

503

Last Page

504

DOI

10.1093/biomet/67.2.503

Abstract

Efron (1971) proposed a method for sequential assignment to treatments or control which is in many ways superior to traditional procedures. To analyse the method's susceptibility to accidental bias a criterion concerning the maximum eigenvalue of a fundamental covariance matrix was introduced. On the basis of numerical evidence, Efron conjectured an explicit formula for this eigenvalue. This note gives a proof of that conjecture.

Keywords

balanced experiment, biased coin design, covariance matrix, maximum eigenvalue, sequential trial

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Date Posted: 27 November 2017

This document has been peer reviewed.