Statistical Papers

, Volume 54, Issue 3, pp 605–617 | Cite as

Testing base load with non-sample prior information on process load

Regular Article


Inference about population parameters could be improved using non- sample prior information (NSPI) from reliable sources along with the available data. This paper studies the problem of testing the intercept parameter of a simple regression model when NSPI is available on the value of the slope. The information on the slope may have the three different scenarios: (i) unknown (unspecified), (ii) known (certain or specified), and (iii) uncertain if the suspected value is unsure, for which we define the unrestricted test (UT), restricted test (RT) and pre-test test (PTT) for the intercept parameter. The test statistics, their sampling distributions, and power functions are derived. Comparison of the power functions and size of the tests are used to search and recommend a best test. The study reveals that the PTT has a reasonable dominance over the UT and RT both in terms of achieving highest power and lowest size.


Linear regression Test of intercept Power function Normal and bivariate Student-t distributions 

Mathematics Subject Classification

Primary 62F03 Secondary 62J05 


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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  1. 1.Department of Mathematics and Computing, Australian Centre for Sustainable CatchmentsUniversity of Southern QueenslandToowoombaAustralia

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