Comparison of OpenEpi confidence intervals for a proportion to publications/other programs

 

Numerator/Denominator

 

 

81/263

15/148

0/20

1/29

 

Exact (“Fisher’s”, “Clopper & Pearson”)

               Newc.

               Pepi

               QuickCalc

               OpenEpi              

 

 

. 2527, .3676

.25274, .36762

.2527, .3676

.2527330, .3676211

 

 

.0578, 0.1617

.05784, .16165

.0578, .1617

.0578421, .1616477

 

 

.0000, .1684

.00000, .16843

.0000, .1684

0, .1684303

 

 

.0009, .1776

.00087, .17764

.0009, .1776

.0008713, .1776433

 

Mid-p Exact

               Newc.

               Pepi

               QuickCalc

               OpenEpi              

 

.2544, .3658

.25440, .36577

-

-

 

.0601, .1581

.06006, .15812

-

-

 

.0000, .1391

.00000, .13911

-

-

 

.0017, .1585

.00172, .15854

-

-

 

Wald (“simple asymptotic without CC”, “normal approximation”)

               Newc.

               Pepi

               QuickCalc

               OpenEpi

 

 

.2522, .3638

-

-

.2521891, .3637804

 

 

.0527, .1500

-

-

.0527291, .1499735

 

 

.0000, .0000

-

-

0, 0

 

 

<.0000, .1009

-

-

0, .1008934

 

Modified Wald

               Newc.

               Pepi

               QuickCalc

               OpenEpi

 

-

-

.2550, .3663

.2552197, .3662785

 

-

-

.0614, .1615

.0613853, .1614890

 

-

-

.0000, .1898

0, .1898152

 

-

-

.0000, .1863

0, .1862907

 

Score (without CC, “Wilson”)

               Newc.

               Pepi

               QuickCalc

               OpenEpi

 

.2553, .3662

-

-

.2552876, .3662106

 

.0624, .1605

-

-

.0623858, .1604885

 

.0000, .1611

-

-

0, .1611301

 

.0061, .1718

-

-

.0061130, .1717589

 

Score with cc (“Fleiss Quadratic”)

               Newc.

               Pepi

               QuickCalc

               OpenEpi

 

.2535, .3682

.2535, .3682

-

.2535077, .3681773

 

.0598, .1644

.0598, .1644

-

.0597776, .1644510

 

.0000, .2005

.0000, .2005

-

0, .2004581

 

.0018, .1963

.0018, .1963

-

.0018025, .1962854

 

 

 

 

 

 

 

Notes:

Newc.: from: Newcombe RG.  Two-sided confidence intervals for the single proportion: comparison of seven methods.  Statistics in Medicine 17, 857-872, 1998.

Pepi: Abramson JH and Gahlinger PM (2001).  Computer Programs for Epidemiologists: PEPI Version 4.0.  Sagebrush Press, Salt Lake City.  Used CONFINT.EXE version 4.0

QuickCalc: website http://www.graphpad.com/quickcalcs/ConfInterval1.cfm, used on August 27 2003.