Confidence intervals for a discrete population median

American Statistician

Volumn 62, Issue 1, 2008, Pages 32-39

  Larocque, Denis ^a   Randles, Ronald H ^b  

^a HEC MONTRÉAL   (Canada)

^b University of Florida ^*  (United States)

Author keywords

Confidence level; Discrete distribution; Maximum likelihood; Multinomial distribution; Sign test; Tied observations

Indexed keywords

EID: 39049093236     PISSN: 00031305     EISSN: None     Source Type: Journal    
DOI: 10.1198/000313008X269738     Document Type: Article

References (19)

1. Agresti, A., and Coull, B.A. (1998), "Approximate is Better Than 'Exact' for Interval Estimation of Binomial Proportions," The American Statistician, 52, 119-126.
2. Coakley, C.W., and Heise, M.A. (1996), "Versions of the Sign Test in the Presence of Ties? Biometrics, 52, 1242-1251.
3. Daniels, W.W. (1990), Applied Nonparametric Statistics (2nd ed.), Boston, MA: Duxbury.
4. Doornik, J. A. (2002), Object-Oriented Matrix Programming Using Ox (3rd ed.), London: Timberlake Consultants Press and Oxford: www.doornik.com.
5. Emerson, J.D., and Simon, G.A. (1979), "Another Look at the Sign Test when Ties are Present: the Problem of Confidence Intervals," The American Statistician, 33, 140-142.
6. Ferner, R.E., Coleman, J., Pirmohamed, M., Constable, S.A., and Rouse, A. (2005), "The Quality of Information on Monitoring for Haematological Adverse Drug Reactions," British Journal of Clinical Pharmacology, 60, 448-451.
7. Fisher, R.A. (1941), "The Negative Binomial Distribution," Annals of Eugenics, XI, 182-187.
8. Fong, D.Y.T., Kwan, C.W., Lam, K.F., and Lam, K.S.L. (2003), "Use of the Sign Test for the Median in the Presence of Ties," The American Statistician, 57, 237-240.
9. Hand, D.J., Daly, F., Lunn, A.D., McConway, K.J., and Ostrowski, E. (1994), A Handbook of Small Data Sets, London: Chapman & Hall.
10. Hettmansperger, T.P., and Sheather, S.J. (1986), "Confidence Intervals Based on Interpolating Order Statistics," Statistics and Probability Letters, 4, 75-79.
11. Ho, Y.H.S., and Lee, S.M.S. (2005a), "Calibrated Interpolated Confidence Intervals for Population Quantiles," Biometrika, 92, 234-241.
12. (2005b), "Iterated Smoothed Bootstrap Confidence Intervals for Population Quantiles," The Annals of Statistics, 33, 437-462.
13. Huang, J.S. (1991), "Estimating the Variance of the Sample Median, Discrete Case," Statistics and Probability Letters, 11, 291-298.
14. Hutson, A.D. (1999), "Calculating Nonparametric Confidence Intervals for Quantiles Using Fractional Order Statistics," Journal of Applied Statistics, 26, 343-353.
15. Noether, G.E. (1967), Elements of Nonparametric Statistics, New York: Wiley.
16. Papadatos, N. (1995), "Intermediate Order Statistics with Applications to Non-parametric Estimation," Statistics and Probability Letters, 22, 231-238.
17. Randles, R.H. (2001), "On Neutral Responses (Zeros) in the Sign Test and Ties in the Wilcoxon-Mann-Whitney Test," The American Statistician, 55, 96-101.
18. Scheffé, H., and Tukey, J.W. (1945), "Non-Parametric Estimation. I. Validation of Order Statistics," Annals of Mathematical Statistics, 16, 187-192.
19. Taylor, W.H. (1972), "Correlations between Length of Stay in the Job Corp and Reading Ability of the Corpsmen," Journal of Employment Counseling, 9, 78-85.