A runs test based on run lengths.

P. C. O'Brien, Peter J Dyck

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

A procedure is proposed for testing the hypothesis that Bernoulli trials (successes and failures) are independent with common probability of success. Equivalently, the procedure may be used to test the hypothesis that the arrangement of a fixed number of successes and failures was determined randomly. The procedure is based on a weighted linear combination of the variances of run lengths of successes and failures. It is shown to have desirable asymptotic properties and to be generally more powerful than the usual runs test, while preserving computational simplicity.

Original languageEnglish (US)
Pages (from-to)237-244
Number of pages8
JournalBiometrics
Volume41
Issue number1
StatePublished - Mar 1985

Fingerprint

Run Length
Testing
Bernoulli trial
testing
Asymptotic Properties
Linear Combination
Arrangement
Simplicity

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics
  • Statistics and Probability
  • Public Health, Environmental and Occupational Health

Cite this

O'Brien, P. C., & Dyck, P. J. (1985). A runs test based on run lengths. Biometrics, 41(1), 237-244.

A runs test based on run lengths. / O'Brien, P. C.; Dyck, Peter J.

In: Biometrics, Vol. 41, No. 1, 03.1985, p. 237-244.

Research output: Contribution to journalArticle

O'Brien, PC & Dyck, PJ 1985, 'A runs test based on run lengths.', Biometrics, vol. 41, no. 1, pp. 237-244.
O'Brien PC, Dyck PJ. A runs test based on run lengths. Biometrics. 1985 Mar;41(1):237-244.
O'Brien, P. C. ; Dyck, Peter J. / A runs test based on run lengths. In: Biometrics. 1985 ; Vol. 41, No. 1. pp. 237-244.
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