Accession Number:

ADA523927

Title:

Binomial Distribution: Hypothesis Testing, Confidence Intervals (CI), and Reliability with Implementation in S-PLUS

Descriptive Note:

Final rept. Jan-Jun 2009

Corporate Author:

ARMY RESEARCH LAB ABERDEEN PROVING GROUND MD

Personal Author(s):

Report Date:

2010-06-01

Pagination or Media Count:

43.0

Abstract:

System requirements can be expressed in terms of an upper lower limit on the probability of failure success. Statistical analysis of such binary 01, successfailure, gono-go data typically requires point and interval estimation and inference or hypothesis tests on the associated event probability. For identical independent trials, the proportion observed serves as an estimate of the event rate. Based on the method of Clopper-Pearson CP and the likelihood ratio LR technique properties of the binomial distribution are used to derive interval estimates, which are in turn used in inference. An application is the determination of sample size and maximum permissible number of failures nf required to establish a specific reliability probability of success with given probability confidence.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE