Testing the equality of two intercept for the parallel regression model

Pratikno, Budi and Khan, Shahjahan (2014) Testing the equality of two intercept for the parallel regression model. In: 13th Islamic Countries Conference on Statistical Sciences (ICCS 2013): Statistics for Better Life, 18-21 Dec 2014, Bogor, Indonesia.

[img]
Preview
Text (Accepted Version)
Pratikno_Khan_ICCS-13_AV.pdf

Download (169Kb) | Preview

Abstract

Testing the equality of the two intercepts of two parallel regression models is considered when the slopes are suspected to be equal. For three different scenarios on the values of the slope parameters, namely (i) unknown (unspecified), (ii) known (specified), and (iii) suspected, we derive the unrestricted (UT), restricted (RT) and pretest (PTT) tests for testing the intercept parameters. The test statistics, their sampling distributions, and power functions of the tests are obtained. Comparison of power functions and sizes of the tests are provided.


Statistics for USQ ePrint 26537
Statistics for this ePrint Item
Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: © 2014 Islamic Countries Society of Statistical Sciences.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 20 Mar 2015 01:36
Last Modified: 02 May 2017 23:59
Uncontrolled Keywords: linear regression; intercept and slope parameters; pre-test test; non-sample prior information; and power function.
Fields of Research : 01 Mathematical Sciences > 0104 Statistics > 010406 Stochastic Analysis and Modelling
01 Mathematical Sciences > 0104 Statistics > 010499 Statistics not elsewhere classified
01 Mathematical Sciences > 0104 Statistics > 010405 Statistical Theory
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
URI: http://eprints.usq.edu.au/id/eprint/26537

Actions (login required)

View Item Archive Repository Staff Only