Accession Number : AD0017659


Title :   Estimation of the Intercept of a Linear Regression Function.


Corporate Author : NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/017659.pdf


Report Date : Aug 1953


Pagination or Media Count : 17


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.


Descriptors :   *COEFFICIENTS , SEQUENCES , ESTIMATES , NONSEQUENTIAL , LINEAR REGRESSION ANALYSIS , CONFIDENCE LIMITS , INTERVALS , OPTIMIZATION


Subject Categories : Numerical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE