Ensemble confidence intervals for binomial proportions

被引：13

作者：

Park, Hayeon ^{[1
]}

Leemis, Lawrence M. ^{[1
]}

机构：

[1] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

来源：

STATISTICS IN MEDICINE | 2019年 / 38卷 / 18期

关键词：

binomial distribution; confidence interval; coverage; statistical computing; COVERAGE PROBABILITY; APPROXIMATE; ESTIMATORS; LIMITS;

D O I：

10.1002/sim.8189

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We propose two measures of performance for a confidence interval for a binomial proportion p: the root mean squared error and the mean absolute deviation. We also devise a confidence interval for p based on the actual coverage function that combines several existing approximate confidence intervals. This "Ensemble" confidence interval has improved statistical properties over the constituent confidence intervals. Software in an R package, which can be used in devising and assessing these confidence intervals, is available on CRAN.

引用

页码：3460 / 3475

页数：16

共 50 条

[1] Confidence intervals for a ratio of two independent binomial proportions
Price, Robert M.
Bonett, Douglas G.
[J]. STATISTICS IN MEDICINE, 2008, 27 (26) : 5497 - 5508
[2] Exact 95% confidence intervals for differences in binomial proportions
Fagan, T
[J]. COMPUTERS IN BIOLOGY AND MEDICINE, 1999, 29 (01) : 83 - 87
[3] Recommended confidence intervals for two independent binomial proportions
Fagerland, Morten W.
Lydersen, Stian
Laake, Petter
[J]. STATISTICAL METHODS IN MEDICAL RESEARCH, 2015, 24 (02) : 224 - 254
[4] EXACT CONFIDENCE INTERVALS FOR SUMS OF INDEPENDENT BINOMIAL PROPORTIONS
Abel, Ulrich
Schosser, Rudolf
Suess, Jochen
[J]. JP JOURNAL OF BIOSTATISTICS, 2007, 1 (03) : 249 - 265
[5] CONFIDENCE-INTERVALS FOR THE RATIO OF 2 BINOMIAL PROPORTIONS
KOOPMAN, PAR
[J]. BIOMETRICS, 1984, 40 (02) : 513 - 517
[6] Recommended tests and confidence intervals for paired binomial proportions
Fagerland, Morten W.
Lydersen, Stian
Laake, Petter
[J]. STATISTICS IN MEDICINE, 2014, 33 (16) : 2850 - 2875
[7] On split sample and randomized confidence intervals for binomial proportions
Thulin, Mans
[J]. STATISTICS & PROBABILITY LETTERS, 2014, 92 : 65 - 71
[8] A FAMILY OF CONFIDENCE-INTERVALS FOR THE RATIO OF 2 BINOMIAL PROPORTIONS
BEDRICK, EJ
[J]. BIOMETRICS, 1987, 43 (04) : 993 - 998
[9] Stratified Wilson and Newcombe Confidence Intervals for Multiple Binomial Proportions
Yan, Xin
Su, Xiao Gang
[J]. STATISTICS IN BIOPHARMACEUTICAL RESEARCH, 2010, 2 (03): : 329 - 335
[10] Confidence intervals for a ratio of binomial proportions based on paired data
Bonett, Douglas G.
Price, Robert M.
[J]. STATISTICS IN MEDICINE, 2006, 25 (17) : 3039 - 3047

← 1 2 3 4 5 →