A SOLUTION TO THE THIRD TYPE OF LINEAR RELATIONSHIPS BETWEEN TWO VARIABLES IN EARTH SCIENCES
- 出版年：1997
- 作者：Gao Shu（高抒）
- 单位1：stitute of Oceanology, Chinese Academy of Sciences
- 出生年：1956
- 职称：研究员
- 语种：英文
- 作者关键词：Linear regression； OLS method； modified LNS method
- 起始页：373
- 总页数：9
- 刊名：青岛海洋大学学报
- 是否内版：否
- 刊频：季刊
- 创刊时间：1959
- 主管单位：1162
- 主办单位：青岛海洋大学
- 主编：文圣常
- 地址：青岛市鱼山路5号
- 邮编：266003
- 卷：27
- 期：3
- 核心期刊：中国自然科学核心期刊
摘要
Linear regression analysis is an important practice in earth sciences. Three types of lin-ear relationships between two variables can be identified：（i） very small or no measuring er-rors are associated with the x data and deviations （due to errors of measu rem en t alo n e ) o ccu r
only in the y data；(ii)errors of m easurem ent are associated w ith both X and Y data and such errors are the only reason for any deviation ftom the line of best—fit：and (iii) the deviation from the equation is not because of measuring errors in X and Y data alone (i．e．the deviation
is real，although the linear correlation is still significant)．H ow ever，existing regression
m odels are m ainly concerned w ith the first tw o types．H ere，a m ethod has been suggested for regression analysis of the th ird type．S uch a m ethod is better than the traditional OLS(ordi—
nary least squares) method in that it is logically consistent and non - biased in charater．
only in the y data；(ii)errors of m easurem ent are associated w ith both X and Y data and such errors are the only reason for any deviation ftom the line of best—fit：and (iii) the deviation from the equation is not because of measuring errors in X and Y data alone (i．e．the deviation
is real，although the linear correlation is still significant)．H ow ever，existing regression
m odels are m ainly concerned w ith the first tw o types．H ere，a m ethod has been suggested for regression analysis of the th ird type．S uch a m ethod is better than the traditional OLS(ordi—
nary least squares) method in that it is logically consistent and non - biased in charater．