Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/86947
Authors: 
de Gooijer, Jan G.
Yuan, Ao
Year of Publication: 
2010
Series/Report no.: 
Tinbergen Institute Discussion Paper 10-044/4
Abstract: 
Item response theory is one of the modern test theories with applications in educational and psychological testing. Recent developments made it possible to characterize some desired properties in terms of a collection of manifest ones, so that hypothesis tests on these traits can, in principle, be performed. But the existing test methodology is based on asymptotic approximation, which is impractical in most applications since the required sample sizes are often unrealistically huge. To overcome this problem, a class of tests is proposed for making exact statistical inference about four manifest properties: covariances given the sum are non-positive (CSN), manifest monotonicity (MM), conditional association (CA), and vanishing conditional dependence (VCD). One major advantage is that these exact tests do not require large sample sizes. As a result, tests for CSN and MM can be routinely performed in empirical studies. For testing CA and VCD, the exact methods are still impractical in most applications, due to the unusually large number of parameters to be tested. However, exact methods are still derived for them as an exploration toward practicality. Some numerical examples with applications of the exact tests for CSN and MM are provided.
Subjects: 
Conditional distribution
Exact test
Monte Carlo
Markov chain Monte Carlo
JEL: 
C12
C15
Document Type: 
Working Paper

Files in This Item:
File
Size
280.19 kB





Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.