Estimation of the Intercept of a Linear Regression Function.

Abstract

Experiments performed at the levels x1, x2, ... lead to the obtaining of observations yi=a+bx+i(i=1,2,...), the synbol being the independent N(O,2) random variables, and a and B the unknown linear regression coefficients. Designs of experiments for estimating are given which are based on certain optimum criteria in both the nonsequential and sequential cases. Properties of both the nonsequential and sequential estimates tN are discussed, including in the nonsequential case of approximation to the distribution of tN and a confidence interval for 0. Examples were constructed to illustrate the character of the designs.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1953
Accession Number
AD0017659

Entities

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Asymptotic Normality
  • Coefficients
  • Consistency
  • Data Science
  • Equations
  • Information Science
  • Intervals
  • Military Research
  • Normal Distribution
  • Normality
  • North Carolina
  • Observation
  • Probability
  • Random Variables
  • Statistical Samples
  • Statistics
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Approximation Theory.
  • Materials Science.