PREDICTION INTERVALS FOR SUMMED TOTALS

Abstract

Methods are discussed for calculating prediction intervals for total estimates that are sums of individually derived estimates. Special attention is given to the problems encountered when the variances of each of the individually derived estimates cannot be assumed to be equal. This problem is essentially identical to the well-known Behren-Fisher problem except that here the context is one of deriving a 't-ratio' for summed means. For the case of unequal variances, the prediction interval is based on a statistic with an approximate t-distribution and the interval itself must be viewed as an approximation. Examples are given for each of the cases considered.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1968
Accession Number
AD0678505

Entities

People

  • J. A. Dei Rossi

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Aircrafts
  • Coefficients
  • Cost Analysis
  • Cost Estimates
  • Costs
  • Maintenance
  • Maintenance Personnel
  • New York
  • Numbers
  • Probability
  • Random Variables
  • Regression Analysis
  • Square Roots
  • Statistical Analysis
  • Statistics
  • United States

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.