dc.contributor.author | Steele, M | |
dc.contributor.author | Chaseling, J | |
dc.contributor.author | Hurst, C | |
dc.contributor.editor | Zerger, A | |
dc.contributor.editor | Argent, RM | |
dc.date.accessioned | 2018-03-07T04:38:12Z | |
dc.date.available | 2018-03-07T04:38:12Z | |
dc.date.issued | 2005 | |
dc.date.modified | 2014-06-30T05:03:40Z | |
dc.identifier.refuri | http://www/mssanz.org.au/modsim05/papers/steele.pdf | |
dc.identifier.uri | http://hdl.handle.net/10072/2725 | |
dc.description.abstract | The use of goodness-of-fit test statistics for
discrete or categorical data is widespread
throughout the research community with the ChiSquare
the most popular when a researcher aims to
determine if observed categorical data differs from
a hypothesized multinomial distribution. Even for
ordinal categorical data, the use of empirical
distribution function (EDF) test statistics such as
the Kolmogorov-Smirnov, the three Cramér-von
Mises (A2
, W2
and U2
as defined below) and
various modifications of these are limited in the
literature. Power studies of the EDF type test
statistics are even more limited.
This paper compares the simulated power of the
three Cramér-von Mises test statistics with that of
the Chi-Square test statistic for a uniform null
hypothesis against a variety of alternative
distributions which are summarized in Figure 1.
Recommendations are made on which is the most
powerful test statistic for the predefined alternative
distributions. The results of the simulated power studies in this
paper lead to the following general
recommendations:
• For trend type alternatives A2 and W2 appear much more powerful than U2
and χ2. (See Figure 2 for a uniform null against a
decreasing trend alternative distribution).
• For all the other investigated alternative
distributions U2 and χ2 appear much more
powerful than A2 and W2. (See Figure 3 for a
uniform null against a leptokurtic type
alternative distribution). | |
dc.description.peerreviewed | Yes | |
dc.description.publicationstatus | Yes | |
dc.format.extent | 324524 bytes | |
dc.format.mimetype | application/pdf | |
dc.language | English | |
dc.language.iso | eng | |
dc.publisher | Modelling and Simulation Society of Australia and New Zealand | |
dc.publisher.place | Australia | |
dc.publisher.uri | http://www.mssanz.org.au/modsim05/index.htm | |
dc.relation.ispartofstudentpublication | N | |
dc.relation.ispartofconferencename | International Congress on Modelling and Simulation (MODSIM05) | |
dc.relation.ispartofconferencetitle | MODSIM 2005: INTERNATIONAL CONGRESS ON MODELLING AND SIMULATION: ADVANCES AND APPLICATIONS FOR MANAGEMENT AND DECISION MAKING | |
dc.relation.ispartofdatefrom | 2005-12-12 | |
dc.relation.ispartofdateto | 2005-12-15 | |
dc.relation.ispartoflocation | Melbourne, AUSTRALIA | |
dc.relation.ispartofpagefrom | 1300 | |
dc.relation.ispartofpagefrom | 5 pages | |
dc.relation.ispartofpageto | 1304 | |
dc.relation.ispartofpageto | 5 pages | |
dc.rights.retention | Y | |
dc.subject.fieldofresearchcode | 230204 | |
dc.title | Simulated Power of the Discrete Cramer-von Mises Goodness-of-Fit Tests | |
dc.type | Conference output | |
dc.type.description | E1 - Conferences | |
dc.type.code | E - Conference Publications | |
gro.rights.copyright | © 2005 Modellling & Simulation Society of Australia & New Zealand. The attached file is reproduced here in accordance with the copyright policy of the publisher. For information about this conference please refer to the conference’s website or contact the authors. | |
gro.date.issued | 2005 | |
gro.hasfulltext | Full Text | |
gro.griffith.author | Chaseling, Janet | |
gro.griffith.author | Steele, Mike | |
gro.griffith.author | Hurst, Cameron P. | |