A Remark on the Interpretation of Pooling Results

• Authors: Wojciech Zieliński
• Languages of publication: EN

Abstracts

EN

A multinomial distribution (-1, π1), (0, π2), (1, π3), π1 + π2 + π3 = 1 is observed. Suppose that n1 values -1, n2 values 0 and n3 values 1 (n = n1 + n2 + n3) were observed. The construction of the confidence region for the vector (π1, π2, π3) is given. Theoretical considerations are illustrated by an example of the results of a pool.

Keywords

EN

multinomial distribution; confidence regions

• Publisher: Sciendo
• Journal: Folia Oeconomica Stetinensia
• Year: 2008
• Volume: 7
• Issue: 1
• Pages: 56-62

Dates

published

2008-01-01

online

2009-03-09

Contributors

author

Wojciech Zieliński

• Department of Econometrics and Statistics, Warsaw University of Life Sciences, Nowoursynowska 159, 02-787 Warszawa

References

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• Correa, J. C. (2001). Interval Estimation of the Parameters of the Multinomial Distribution
• Fitzpatrick, S. & Scott, A. (1987). Quick Simultaneous Confidence Intervals for Multinomial Proportions. Journal of the American Statistical Association. 82, 875-878.
• Goodman, L. A. (1965). On Simultaneous Confidence Intervals for Multinomial Proportions. Technometrics. 7, 247-254.
• May, W. L. & Johnson, W. D. (1997). Properties of Simultaneous Confidence Intervals for Multinomial Proportions. Communications in Statistics - Simulations. 26, 495-518.[WoS]
• Quesenberry, C. P. & Hurst, D.C. (1964). Large Sample Simultaneous Confidence Intervals for Multinomial Proportions. Technometrics. 6, 191-195.

Identifiers

DOI

10.2478/v10031-008-0018-7