An Accumulate-Toward-the-Mode Approach to Confidence Intervals and Hypothesis Testing With Applications to Binomially Distributed Data

Abstract

Analyses of binomially distributed data usually depend on the normal approximation to the binomial or, for small sample sizes, the I binomial cumulative distribution function. The first approach is only good for an unspecified "sufficiently large" sample size and does not reflect the asymmetry of the binomial distribution for probabilities other than 0.5. The second approach leads to suboptimal designs. .Neither approach extends easily to handle multivariate binomial data. This paper describes a new accumulate toward the mode approach to hypothesis tests and confidence intervals and the application of this approach to binomially distributed data. The extension of this approach ' to multivariate data is also covered.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 2010
Accession Number
ADA514638

Entities

People

  • Dwayne W. Nuzman

Organizations

  • United States Army Materiel Systems Analysis Activity

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Asymmetry
  • Binomials
  • Boundaries
  • Data Science
  • Design Criteria
  • Discrete Distribution
  • Distribution Functions
  • Information Science
  • Intervals
  • Normal Distribution
  • Probability
  • Probability Density Functions
  • Random Variables
  • Standards
  • Statistics
  • Symmetry
  • Systems Analysis

Fields of Study

  • Mathematics

Readers

  • Statistical inference.