摘要:

This paper discusses a problem in the spacing of observations in quadratic regression for most precise extrapolation. LetE(yi) = α + βxi+ γxi2. Theyiare uncorrelated observations with varianceVo;thexiare controlled. The problem answered is: at whichx-values in a specified interval [xL, xH] shouldNobservationsyi, i= 1 (1)N, be taken so that for a ξ >xH(or ξ <xL) the least squares estimate of α + βξ + γξ2has minimum variance? It is shown that the observations are located atxL, (xL+ xH)/2, andxH.The distribution at these locations as a function of ξ is given. These results are also useful in designing experiments for testing the hypothesis of a quadratic relation versus that of a linear relation.

ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501356

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor

ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501357

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor

ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501358

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor

摘要:

Faster, Faster: A Simple Description Of A Giant Electronic Calculator And The Problems It Solves.W. J. Eckert And Rebecca Jones.New York: Mcgraw-Hill Book Company, Inc., 1955. Pp. Viii, 160. $3.75.

ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501359

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor

ISSN:0162-1459    

DOI:10.1080/01621459.1956.10501360

出版商:Taylor & Francis Group    

年代:1956

数据来源: Taylor