Discrimination Intervals for Percentiles in Regression
作者:
RobertG. Easterling,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1969)
卷期:
Volume 64,
issue 327
页码: 1031-1041
ISSN:0162-1459
年代: 1969
DOI:10.1080/01621459.1969.10501034
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
In simple linear regression the 100pth percentile of the distribution ofYfor a given value ofXis β0+ β1X+Zpσ, whereZpis the 100pth percentile of the standard normal distribution. The problem considered is to estimate the value ofXfor which this percentile is equal to some specified value,Yp. Both point and interval estimates are considered. A procedure for obtaining exact confidence intervals is derived, and in addition, two approximate and two conservative procedures for obtaining intervals are presented and compared. An example is given to illustrate these procedures and an application to covariance analysis is given.
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