About: Generalized p-value

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In statistics, a generalized p-value is an extended version of the classical p-value, which except in a limited number of applications, provides only approximate solutions. Conventional statistical methods do not provide exact solutions to many statistical problems, such as those arising in mixed models and MANOVA, especially when the problem involves a number of nuisance parameters. As a result, practitioners often resort to approximate statistical methods or asymptotic statistical methods that are valid only when the sample size is large. With small samples, such methods often have poor performance. Use of approximate and asymptotic methods may lead to misleading conclusions or may fail to detect truly significant results from experiments.

Attributes	Values
rdf:type	work
rdfs:label	Generalized p-value (en)
rdfs:comment	In statistics, a generalized p-value is an extended version of the classical p-value, which except in a limited number of applications, provides only approximate solutions. Conventional statistical methods do not provide exact solutions to many statistical problems, such as those arising in mixed models and MANOVA, especially when the problem involves a number of nuisance parameters. As a result, practitioners often resort to approximate statistical methods or asymptotic statistical methods that are valid only when the sample size is large. With small samples, such methods often have poor performance. Use of approximate and asymptotic methods may lead to misleading conclusions or may fail to detect truly significant results from experiments. (en)
dcterms:subject	Statistical hypothesis testing
Wikipage page ID	25238524 (xsd:integer)
Wikipage revision ID	1012658483 (xsd:integer)
Link from a Wikipage to another Wikipage	Behrens–Fisher problem Statistical hypothesis testing Nuisance parameter Statistical significance Statistics P-value ANOVA Experiment Journal of the American Statistical Association Asymptotic theory (statistics) Mixed model Variance components MANOVA
Link from a Wikipage to an external page	http://www.x-techniques.com/ https://www.jstor.org/stable/2289949 https://www.springer.com/statistics/statistical+theory+and+methods/book/978-0-387-40621-3
sameAs	Generalized p-value Generalized p-value Generalized p-value
dbp:wikiPageUsesTemplate	dbt:ISBN dbt:More_footnotes dbt:Reflist
has abstract	In statistics, a generalized p-value is an extended version of the classical p-value, which except in a limited number of applications, provides only approximate solutions. Conventional statistical methods do not provide exact solutions to many statistical problems, such as those arising in mixed models and MANOVA, especially when the problem involves a number of nuisance parameters. As a result, practitioners often resort to approximate statistical methods or asymptotic statistical methods that are valid only when the sample size is large. With small samples, such methods often have poor performance. Use of approximate and asymptotic methods may lead to misleading conclusions or may fail to detect truly significant results from experiments. Tests based on generalized p-values are exact statistical methods in that they are based on exact probability statements. While conventional statistical methods do not provide exact solutions to such problems as testing variance components or ANOVA under unequal variances, exact tests for such problems can be obtained based on generalized p-values. In order to overcome the shortcomings of the classical p-values, Tsui and Weerahandi extended the classical definition so that one can obtain exact solutions for such problems as the Behrens–Fisher problem and testing variance components. This is accomplished by allowing test variables to depend on observable random vectors as well as their observed values, as in the Bayesian treatment of the problem, but without having to treat constant parameters as random variables. (en)
gold:hypernym	Version
prov:wasDerivedFrom	wikipedia-en:Generalized_p-value?oldid=1012658483&ns=0
page length (characters) of wiki page	5352 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Generalized_p-value
is Link from a Wikipage to another Wikipage of	P-value Sam Weerahandi List of statistics articles Exact statistics Generalized P-Values Generalized p-values
is Wikipage redirect of	Generalized P-Values Generalized p-values
is foaf:primaryTopic of	wikipedia-en:Generalized_p-value

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