Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

Confidence Intervals for a Binomial Parameter Based on Multistage Tests

Diane E. Duffy and Thomas J. Santner
Biometrics
Vol. 43, No. 1 (Mar., 1987), pp. 81-93
DOI: 10.2307/2531951
Stable URL: http://www.jstor.org/stable/2531951
Page Count: 13
  • Read Online (Free)
  • Download ($14.00)
  • Subscribe ($19.50)
  • Cite this Item
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Confidence Intervals for a Binomial Parameter Based on Multistage Tests
Preview not available

Abstract

Several methods are developed for the construction of confidence intervals for the binomial success probability p following multistage experimentation. We consider analogues of one-stage methods proposed by Sterne (1954, Biometrika 41, 275-278), Crow (1956, Biometrika 43, 423-435), and Blyth and Still (1983, Journal of the American Statistical Association 78, 108-116). The proposed confidence intervals are implemented and compared with the Clopper-Pearson tail intervals given by Jennison and Turnbull (1983, Technometrics 25, 49-58) for the four three-stage testing procedures of Fleming (1982, Biometrics 38, 143-151). The new intervals have (i) uniformly shorter total length summed over all outcomes, (ii) nearly uniformly shorter expected length, and (iii) closer to nominal probability of coverage. An easily computed Crow-Blyth-Still-type construction is particularly attractive for practical application.

Page Thumbnails

  • Thumbnail: Page 
81
    81
  • Thumbnail: Page 
82
    82
  • Thumbnail: Page 
83
    83
  • Thumbnail: Page 
84
    84
  • Thumbnail: Page 
85
    85
  • Thumbnail: Page 
86
    86
  • Thumbnail: Page 
87
    87
  • Thumbnail: Page 
88
    88
  • Thumbnail: Page 
89
    89
  • Thumbnail: Page 
90
    90
  • Thumbnail: Page 
91
    91
  • Thumbnail: Page 
92
    92
  • Thumbnail: Page 
93
    93