ROBUST REGRESSION APPROACH TO ANALYZING FISHERIES DATA

被引:25
作者
CHEN, Y [1 ]
JACKSON, DA [1 ]
PALOHEIMO, JE [1 ]
机构
[1] UNIV WESTERN ONTARIO, DEPT ZOOL, LONDON N6A 5B7, ON, CANADA
关键词
D O I
10.1139/f94-142
中图分类号
S9 [水产、渔业];
学科分类号
0908 ;
摘要
Fisheries data often contain inaccuracies due to various errors. If such errors meet the Gauss-Markov conditions and the normality assumption, strong theoretical justification can be made for traditional least-squares (LS) estimates. However, these assumptions are not always met. Rather, it is more common that errors do not follow the Gauss-Markov and normality assumptions. Outliers may arise due to heterogenous variabilities. This results in a biased regression analysis. The sensitivity of the LS regression analysis to atypical values in the dependent and/or independent variables makes it difficult to identify outliers in a residual analysis. A robust regression method, least median squares (LMS), is insensitive to atypical values in the dependent and/or independent variables in a regression analysis. Thus, outliers that have significantly different variances from the rest of the data can be identified in a residual analysis. Using simulated and field data, we explore the application of LMS in the analysis of fisheries data. A two-step procedure is suggested in analyzing fisheries data.
引用
收藏
页码:1420 / 1429
页数:10
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