Statistical Science

Comment: Randomized Confidence Intervals and the Mid-P Approach

Alan Agresti and Anna Gottard

Full-text: Open access

Article information

Statist. Sci., Volume 20, Number 4 (2005), 367-371.

First available in Project Euclid: 12 January 2006

Permanent link to this document

Digital Object Identifier


Agresti, Alan; Gottard, Anna. Comment: Randomized Confidence Intervals and the Mid- P Approach. Statist. Sci. 20 (2005), no. 4, 367--371. doi:10.1214/088342305000000403.

Export citation


  • Agresti, A. and Coull, B. A. (1998). Approximate is better than ``exact'' for interval estimation of binomial proportions. Amer. Statist. 52 119--126.
  • Anscombe, F. (1948). The validity of comparative experiments (with discussion). J. Roy. Statist. Soc. Ser. A 111 181--211.
  • Blyth, C. R. and Hutchinson, D. W. (1960). Table of Neyman---shortest unbiased confidence intervals for the binomial parameter. Biometrika 47 381--391.
  • Brown, L. D., Cai, T. T. and DasGupta, A. (2001). Interval estimation for a binomial proportion (with discussion). Statist. Sci. 16 101--133.
  • Clopper, C. J. and Pearson, E. S. (1934). The use of confidence or fiducial limits illustrated in the case of the binomial. Biometrika 26 404--413.
  • Hwang, J. T. G. and Yang, M.-C. (2001). An optimality theory for mid $p$-values in 2$\times$2 contingency tables. Statist. Sinica 11 807--826.
  • Lancaster, H. O. (1961). Significance tests in discrete distributions. J. Amer. Statist. Assoc. 56 223--234.
  • Newcombe, R. G. (1998). Two-sided confidence intervals for the single proportion: Comparison of seven methods. Statistics in Medicine 17 857--872.
  • Neyman, J. (1935). On the problem of confidence limits. Ann. Math. Statist. 6 111--116.
  • Pearson, E. S. (1950). On questions raised by the combination of tests based on discontinuous distributions. Biometrika 37 383--398.
  • Pierce, D. A. and Peters, D. (1992). Practical use of higher order asymptotics for multiparameter exponential families (with discussion). J. Roy. Statist. Soc. Ser. B 54 701--737.
  • Routledge, R. D. (1994). Practicing safe statistics with the mid-$p^\ast$. Canad. J. Statist. 22 103--110.
  • Sterne, T. E. (1954). Some remarks on confidence or fiducial limits. Biometrika 41 275--278.
  • Stevens, W. L. (1950). Fiducial limits of the parameter of a discontinuous distribution. Biometrika 37 117--129.
  • Strawderman, R. L. and Wells, M. T. (1998). Approximately exact inference for the common odds ratio in several 2$\times$2 tables (with discussion). J. Amer. Statist. Assoc. 93 1294--1320.
  • Vollset, S. E. (1993). Confidence intervals for a binomial proportion. Statistics in Medicine 12 809--824.