The determination of sample sizes in the comparison of two multinomial proportions from ordered categories

Myoung Keun Lee, Hae Hiang Song, Seung Ho Kang, Chul W. Ahn

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We consider sample size determination for ordered categorical data when the alternative assumption is the proportional odds model. In this paper the sample size formula proposed by WHITEHEAD (Statistics in Medicine, 12, 2257-2271, 1993) is compared with the methods based on exact and asymptotic linear rank tests with Wilcoxon and trend scores. We show that Whitehead's formula, which is based on a normal approximation, works well when the sample size is moderate to large but recommend the exact method with Wilcoxon scores for small sample sizes. The consequences of misspecification in models are also investigated.

Original languageEnglish (US)
Pages (from-to)395-409
Number of pages15
JournalBiometrical Journal
Volume44
Issue number4
DOIs
StatePublished - 2002

Fingerprint

Ordered Categories
Sample Size
Proportion
Linear Rank Test
Ordered Categorical Data
Proportional Odds Model
Sample Size Determination
Normal Approximation
Misspecification
Exact Method
Small Sample Size
Medicine
Statistics
Alternatives
Sample size
Model
Trends

Keywords

  • Exact power
  • Ordinal data
  • Proportional odds model
  • Trend scores
  • Wilcoxon scores

ASJC Scopus subject areas

  • Statistics and Probability

Cite this

The determination of sample sizes in the comparison of two multinomial proportions from ordered categories. / Lee, Myoung Keun; Song, Hae Hiang; Kang, Seung Ho; Ahn, Chul W.

In: Biometrical Journal, Vol. 44, No. 4, 2002, p. 395-409.

Research output: Contribution to journalArticle

Lee, Myoung Keun ; Song, Hae Hiang ; Kang, Seung Ho ; Ahn, Chul W. / The determination of sample sizes in the comparison of two multinomial proportions from ordered categories. In: Biometrical Journal. 2002 ; Vol. 44, No. 4. pp. 395-409.
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