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A Note on the Equivalence of Two Methods of Fitting a Straight Line through Cumulative Data

 

作者: J.L. Jaech,  

 

期刊: Journal of the American Statistical Association  (Taylor Available online 1964)
卷期: Volume 59, issue 307  

页码: 863-866

 

ISSN:0162-1459

 

年代: 1964

 

DOI:10.1080/01621459.1964.10480732

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

When measurements are made on the same experimental item at successive stages of an experiment, the experimental errors include components which are cumulative in nature, and are hence not independent. This dependence may be removed by using incremental changes in the experimental item as the yield variable, and then using a weighted least squares approach to estimate the parameters of the model, assumed to be linear. Alternately, the original cumulative data may be used directly, and Aitken's method of weighted least squares applied to obtain the parameter estimates. These estimates are shown to be identical.

 

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