Affine Invariant Multivariate Multisample Sign Tests
Invariant sign-type tests for the multivariate, multisample location models are developed. The definition of sign is based on the Oja criterion function. Emphasis is on the two-sample location model and the associated equivariant estimate of shift. Asymptotic theory is developed to provide large sam...
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| Veröffentlicht in: | Journal of the Royal Statistical Society. Series B, Methodological Methodological, 1994-01, Vol.56 (1), p.235-249 |
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| container_end_page | 249 |
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| container_issue | 1 |
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| container_title | Journal of the Royal Statistical Society. Series B, Methodological |
| container_volume | 56 |
| creator | Hettmansperger, Thomas P. Oja, Hannu |
| description | Invariant sign-type tests for the multivariate, multisample location models are developed. The definition of sign is based on the Oja criterion function. Emphasis is on the two-sample location model and the associated equivariant estimate of shift. Asymptotic theory is developed to provide large sample approximations for the null distribution of the test and to provide a framework for a discussion of efficiency. Tests are then developed for the one-way and two-way lay-outs. |
| doi_str_mv | 10.1111/j.2517-6161.1994.tb01974.x |
| format | Article |
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The definition of sign is based on the Oja criterion function. Emphasis is on the two-sample location model and the associated equivariant estimate of shift. Asymptotic theory is developed to provide large sample approximations for the null distribution of the test and to provide a framework for a discussion of efficiency. 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Series B, Methodological</title><description>Invariant sign-type tests for the multivariate, multisample location models are developed. The definition of sign is based on the Oja criterion function. Emphasis is on the two-sample location model and the associated equivariant estimate of shift. Asymptotic theory is developed to provide large sample approximations for the null distribution of the test and to provide a framework for a discussion of efficiency. Tests are then developed for the one-way and two-way lay-outs.</description><subject>asymptotic efficiency</subject><subject>blumen's test</subject><subject>Cumulative distribution functions</subject><subject>Degrees of freedom</subject><subject>equivariant estimate</subject><subject>Exact sciences and technology</subject><subject>Linear models</subject><subject>Linear regression</subject><subject>Mathematics</subject><subject>Matrices</subject><subject>Nonparametric inference</subject><subject>Null hypothesis</subject><subject>oja median</subject><subject>P values</subject><subject>Probability and statistics</subject><subject>randles's test</subject><subject>Regression analysis</subject><subject>Sampling distributions</subject><subject>Sciences and techniques of general use</subject><subject>Statistics</subject><issn>0035-9246</issn><issn>1369-7412</issn><issn>2517-6161</issn><issn>1467-9868</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1994</creationdate><recordtype>article</recordtype><sourceid>K30</sourceid><recordid>eNqVkE9PwyAYh4nRxDn9Bh4a9drKC5QWb3Pxz5IZEzfPhFJq2nTthE63by9dl93lAm_48fzIg9AN4Aj8uq8iEkMScuAQgRAs6jIMImHR9gSNjlenaIQxjUNBGD9HF85VGGOgjI4QmxRF2Zhg1vwoW6qmC942dVfuh84Mg1OrdW2CRfnVBEvjOneJzgpVO3N12Mfo8_lpOX0N5-8vs-lkHmoqYhbSvFBphkmaE61FBjGnGpihOYeEpTnnMS8YzxKRgkl1QWPBgQkgGSeQAad0jG4H7tq23xvfLKt2YxtfKYFiIhIBmPnUw5DStnXOmkKubblSdicBy96SrGSvQvYqZG9JHizJrX98d6hQTqu6sKrRpTsSGPG_xMLHJkPst6zN7h8F8mOxeNyfPeN6YFSua-2RQSjjmBH6BzBFg98</recordid><startdate>19940101</startdate><enddate>19940101</enddate><creator>Hettmansperger, Thomas P.</creator><creator>Oja, Hannu</creator><general>Blackwell Publishers</general><general>Royal Statistical Society</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>HGTKA</scope><scope>JILTI</scope><scope>K30</scope><scope>PAAUG</scope><scope>PAWHS</scope><scope>PAWZZ</scope><scope>PAXOH</scope><scope>PBHAV</scope><scope>PBQSW</scope><scope>PBYQZ</scope><scope>PCIWU</scope><scope>PCMID</scope><scope>PCZJX</scope><scope>PDGRG</scope><scope>PDWWI</scope><scope>PETMR</scope><scope>PFVGT</scope><scope>PGXDX</scope><scope>PIHIL</scope><scope>PISVA</scope><scope>PJCTQ</scope><scope>PJTMS</scope><scope>PLCHJ</scope><scope>PMHAD</scope><scope>PNQDJ</scope><scope>POUND</scope><scope>PPLAD</scope><scope>PQAPC</scope><scope>PQCAN</scope><scope>PQCMW</scope><scope>PQEME</scope><scope>PQHKH</scope><scope>PQMID</scope><scope>PQNCT</scope><scope>PQNET</scope><scope>PQSCT</scope><scope>PQSET</scope><scope>PSVJG</scope><scope>PVMQY</scope><scope>PZGFC</scope></search><sort><creationdate>19940101</creationdate><title>Affine Invariant Multivariate Multisample Sign Tests</title><author>Hettmansperger, Thomas P. ; Oja, Hannu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3954-3dfa8b028d2cc9b1563c14e3d61748d6656f46b7981e8cf359614912b621b1633</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1994</creationdate><topic>asymptotic efficiency</topic><topic>blumen's test</topic><topic>Cumulative distribution functions</topic><topic>Degrees of freedom</topic><topic>equivariant estimate</topic><topic>Exact sciences and technology</topic><topic>Linear models</topic><topic>Linear regression</topic><topic>Mathematics</topic><topic>Matrices</topic><topic>Nonparametric inference</topic><topic>Null hypothesis</topic><topic>oja median</topic><topic>P values</topic><topic>Probability and statistics</topic><topic>randles's test</topic><topic>Regression analysis</topic><topic>Sampling distributions</topic><topic>Sciences and techniques of general use</topic><topic>Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hettmansperger, Thomas P.</creatorcontrib><creatorcontrib>Oja, Hannu</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Periodicals Index Online Segment 18</collection><collection>Periodicals Index Online Segment 32</collection><collection>Periodicals Index Online</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - West</collection><collection>Primary Sources Access (Plan D) - International</collection><collection>Primary Sources Access & Build (Plan A) - MEA</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - Midwest</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - Northeast</collection><collection>Primary Sources Access (Plan D) - Southeast</collection><collection>Primary Sources Access (Plan D) - North Central</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - Southeast</collection><collection>Primary Sources Access (Plan D) - South Central</collection><collection>Primary Sources Access & Build (Plan A) - UK / I</collection><collection>Primary Sources Access (Plan D) - Canada</collection><collection>Primary Sources Access (Plan D) - EMEALA</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - North Central</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - South Central</collection><collection>Primary Sources Access & Build (Plan A) - International</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - International</collection><collection>Primary Sources Access (Plan D) - West</collection><collection>Periodicals Index Online Segments 1-50</collection><collection>Primary Sources Access (Plan D) - APAC</collection><collection>Primary Sources Access (Plan D) - Midwest</collection><collection>Primary Sources Access (Plan D) - MEA</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - Canada</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - UK / I</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - EMEALA</collection><collection>Primary Sources Access & Build (Plan A) - APAC</collection><collection>Primary Sources Access & Build (Plan A) - Canada</collection><collection>Primary Sources Access & Build (Plan A) - West</collection><collection>Primary Sources Access & Build (Plan A) - EMEALA</collection><collection>Primary Sources Access (Plan D) - Northeast</collection><collection>Primary Sources Access & Build (Plan A) - Midwest</collection><collection>Primary Sources Access & Build (Plan A) - North Central</collection><collection>Primary Sources Access & Build (Plan A) - Northeast</collection><collection>Primary Sources Access & Build (Plan A) - South Central</collection><collection>Primary Sources Access & Build (Plan A) - Southeast</collection><collection>Primary Sources Access (Plan D) - UK / I</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - APAC</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - MEA</collection><jtitle>Journal of the Royal Statistical Society. Series B, Methodological</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hettmansperger, Thomas P.</au><au>Oja, Hannu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Affine Invariant Multivariate Multisample Sign Tests</atitle><jtitle>Journal of the Royal Statistical Society. Series B, Methodological</jtitle><date>1994-01-01</date><risdate>1994</risdate><volume>56</volume><issue>1</issue><spage>235</spage><epage>249</epage><pages>235-249</pages><issn>0035-9246</issn><issn>1369-7412</issn><eissn>2517-6161</eissn><eissn>1467-9868</eissn><coden>JSTBAJ</coden><abstract>Invariant sign-type tests for the multivariate, multisample location models are developed. The definition of sign is based on the Oja criterion function. Emphasis is on the two-sample location model and the associated equivariant estimate of shift. Asymptotic theory is developed to provide large sample approximations for the null distribution of the test and to provide a framework for a discussion of efficiency. Tests are then developed for the one-way and two-way lay-outs.</abstract><cop>London</cop><pub>Blackwell Publishers</pub><doi>10.1111/j.2517-6161.1994.tb01974.x</doi><tpages>15</tpages></addata></record> |
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| identifier | ISSN: 0035-9246 |
| ispartof | Journal of the Royal Statistical Society. Series B, Methodological, 1994-01, Vol.56 (1), p.235-249 |
| issn | 0035-9246 1369-7412 2517-6161 1467-9868 |
| language | eng |
| recordid | cdi_proquest_journals_1302979104 |
| source | Periodicals Index Online; JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing |
| subjects | asymptotic efficiency blumen's test Cumulative distribution functions Degrees of freedom equivariant estimate Exact sciences and technology Linear models Linear regression Mathematics Matrices Nonparametric inference Null hypothesis oja median P values Probability and statistics randles's test Regression analysis Sampling distributions Sciences and techniques of general use Statistics |
| title | Affine Invariant Multivariate Multisample Sign Tests |
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