79
Views
89
CrossRef citations to date
0
Altmetric
Theory and Method

A Distribution-Free Multivariate Sign Test Based on Interdirections

Pages 1045-1050 | Received 01 Aug 1988, Published online: 12 Mar 2012

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (30)

Sh. Nasrollahzadeh, M. Bameni Moghadam & R. Farnoosh. (2023) A Shewhart-type nonparametric multivariate depth-based control chart for monitoring location. Communications in Statistics - Theory and Methods 52:20, pages 7385-7404.
Read now
Timothy J. Killeen & Thomas P. Hettmansperger. (2021) A bivariate test for location based on simplicial depth. Communications in Statistics - Theory and Methods 50:17, pages 3954-3971.
Read now
Long Feng, Binghui Liu & Yanyuan Ma. (2021) An Inverse Norm Sign Test of Location Parameter for High-Dimensional Data. Journal of Business & Economic Statistics 39:3, pages 807-815.
Read now
Šárka Hudecová, Jana Klicnarová & Miroslav Šiman. (2020) Incomplete interdirections and lift-interdirections. Journal of Nonparametric Statistics 32:1, pages 93-108.
Read now
Y. H. Dovoedo & S. Chakraborti. (2016) On the robustness to symmetry of some nonparametric multivariate one-sample sign-type tests. Journal of Statistical Computation and Simulation 86:10, pages 1936-1953.
Read now
Wenjuan Liang, Dongdong Xiang & Xiaolong Pu. (2016) A Robust Multivariate EWMA Control Chart for Detecting Sparse Mean Shifts. Journal of Quality Technology 48:3, pages 265-283.
Read now
Jun Li. (2015) Nonparametric multivariate statistical process control charts: a hypothesis testing-based approach. Journal of Nonparametric Statistics 27:3, pages 384-400.
Read now
Jin Wang & Weihua Zhou. (2015) Effect of kurtosis on efficiency of some multivariate medians. Journal of Nonparametric Statistics 27:3, pages 331-348.
Read now
Mustafa Nadar. (2013) Multivariate generalisations of k-sample rank tests for umbrella alternatives. Journal of Nonparametric Statistics 25:1, pages 91-107.
Read now
Jun Li, Xin Zhang & Daniel R. Jeske. (2013) Nonparametric multivariate CUSUM control charts for location and scale changes. Journal of Nonparametric Statistics 25:1, pages 1-20.
Read now
Sunil K. Mathur. (2006) A Nonparametric Test for the One-Sample Bivariate Location Problem. American Journal of Mathematical and Management Sciences 26:1-2, pages 71-92.
Read now
Ziyad R. Mahfoud & Ronald H. Randles. (2005) On multivariate signed rank tests. Journal of Nonparametric Statistics 17:2, pages 201-216.
Read now
Denis Larocque, Serge Tardif & Constance Van Eeden. (2003) Affine-invariant rank tests for the bivariate one-way layout and for simple regression models. Statistics 37:1, pages 33-50.
Read now
Yonghwan Um & Ronald H. Randles. (2001) A multivariate nonparametric test of independence among many vectors. Journal of Nonparametric Statistics 13:5, pages 699-708.
Read now
Sujit K. Ghoush & Debapriya Sengupta. (2001) Testing for proportionality of multivariate dispersion structures using interdirections. Journal of Nonparametric Statistics 13:3, pages 331-349.
Read now
JohnI. Marden. (2000) Hypothesis Testing: From p Values to Bayes Factors. Journal of the American Statistical Association 95:452, pages 1316-1320.
Read now
RonaldH. Randles. (2000) A Simpler, Affine-Invariant, Multivariate, Distribution-Free Sign Test. Journal of the American Statistical Association 95:452, pages 1263-1268.
Read now
T. P. Hettmansperger, J. Möttönen & H. Oja. (1999) The geometry of the affine invariant multivariate sign and rank methods. Journal of Nonparametric Statistics 11:1-3, pages 271-285.
Read now
ThomasP. Hettmansperger, Jyrki Möttönen & Hannu Oja. (1997) Affine-Invariant Multivariate One-Sample Signed-Rank Tests. Journal of the American Statistical Association 92:440, pages 1591-1600.
Read now
K. Choi & J. Marden. (1997) An Approach to Multivariate Rank Tests in Multivariate Analysis of Variance. Journal of the American Statistical Association 92:440, pages 1581-1590.
Read now
PeterW. Gieser & RonaldH. Randles. (1997) A Nonparametric Test of Independence between Two Vectors. Journal of the American Statistical Association 92:438, pages 561-567.
Read now
Show-Li Jan & RonaldH. Randles. (1996) Interdirection Tests for Simple Repeated-Measures Designs. Journal of the American Statistical Association 91:436, pages 1611-1618.
Read now
Jyrki Möttönen & Hannu Oja. (1995) Multivariate spatial sign and rank methods. Journal of Nonparametric Statistics 5:2, pages 201-213.
Read now
Ola HÖssjer & Christophe Croux. (1995) Generalizing univariate signed rank statistics for testing and estimating a multivariate location parameter. Journal of Nonparametric Statistics 4:3, pages 293-308.
Read now
Show-Li Jan & Ronald H. Randles. (1994) A multivariate signed sum test for theone-sample location problem. Journal of Nonparametric Statistics 4:1, pages 49-63.
Read now
Probal Chaudhuri & Debapriya Sengupta. (1993) Sign Tests in Multidimension: Inference Based on the Geometry of the Data Cloud. Journal of the American Statistical Association 88:424, pages 1363-1370.
Read now
Dawn PetersDawn. (1991) An adaptive multivariate signed-rank test for the one-sample location problem. Journal of Nonparametric Statistics 1:1-2, pages 157-163.
Read now
Dawn Peters & RonaldH. Randles. (1990) A Multivariate Signed-Rank Test for the One-Sample Location Problem. Journal of the American Statistical Association 85:410, pages 552-557.
Read now
Ronald H. Randles & Dawn Peters. (1990) Multivariate rank tests for the two-sample location problem. Communications in Statistics - Theory and Methods 19:11, pages 4225-4238.
Read now
Sakineh Dehghan. Permutation tests of multivariate location using data depth. Journal of Statistical Computation and Simulation 0:0, pages 1-15.
Read now

Articles from other publishers (59)

Jun Li. (2023) Multivariate nonparametric control charts based on projection pursuit. Quality and Reliability Engineering International 40:1, pages 681-698.
Crossref
Gaspard Bernard & Thomas Verdebout. (2024) On some multivariate sign tests for scatter matrix eigenvalues. Econometrics and Statistics 29, pages 252-260.
Crossref
Sakineh Dehghan & Mohammad Reza Faridrohani. (2022) Multivariate tests for the multi‐sample location problem based on depth function. Stat 11:1.
Crossref
Šárka Hudecová & Miroslav Šiman. (2022) Multivariate ranks based on randomized lift-interdirections. Computational Statistics & Data Analysis 172, pages 107480.
Crossref
Marc Hallin. (2022) Measure Transportation and Statistical Decision Theory. Annual Review of Statistics and Its Application 9:1, pages 401-424.
Crossref
Sakineh Dehghan & Mohammad Reza Faridrohani. (2021) Non‐parametric depth‐based tests for the multivariate location problem. Australian & New Zealand Journal of Statistics 63:2, pages 309-330.
Crossref
Marc Hallin, Eustasio del Barrio, Juan Cuesta-Albertos & Carlos Matrán. (2021) Distribution and quantile functions, ranks and signs in dimension d: A measure transportation approach. The Annals of Statistics 49:2.
Crossref
Davy Paindaveine, Julien Remy & Thomas Verdebout. (2020) Sign tests for weak principal directions. Bernoulli 26:4.
Crossref
Wei Zhang, Aiyi Liu, Larry L. Tang & Qizhai Li. (2019) A Cluster-Adjusted Rank-Based Test for a Clinical Trial Concerning Multiple Endpoints With Application to Dietary Intervention Assessment. Biometrics 75:3, pages 821-830.
Crossref
Sakineh Dehghan & Mohammad Reza Faridrohani. (2018) Affine invariant depth-based tests for the multivariate one-sample location problem. TEST 28:3, pages 671-693.
Crossref
Klaus NordhausenHannu Oja. (2018) Robust Nonparametric Inference. Annual Review of Statistics and Its Application 5:1, pages 473-500.
Crossref
Enakshi Saha, Soham Sarkar & Anil K. Ghosh. (2017) Some high-dimensional one-sample tests based on functions of interpoint distances. Journal of Multivariate Analysis 161, pages 83-95.
Crossref
Anil K. Ghosh & Munmun Biswas. (2015) Distribution-free high-dimensional two-sample tests based on discriminating hyperplanes. TEST 25:3, pages 525-547.
Crossref
Davy Paindaveine & Thomas Verdebout. (2016) On high-dimensional sign tests. Bernoulli 22:3.
Crossref
Robert Serfling & Yunfei Wang. (2016) On Liu’s simplicial depth and Randles’ interdirections. Computational Statistics & Data Analysis 99, pages 235-247.
Crossref
Germain Van Bever. (2016) Simplicial bivariate tests for randomness. Statistics & Probability Letters 112, pages 20-25.
Crossref
Alexander Dürre, David E. Tyler & Daniel Vogel. (2016) On the eigenvalues of the spatial sign covariance matrix in more than two dimensions. Statistics & Probability Letters 111, pages 80-85.
Crossref
Ehab F. Abd-Elfattah. (2016) Saddlepoint -values for two-sample bivariate tests . Journal of Statistical Planning and Inference 171, pages 92-98.
Crossref
P. Barone. (2016) Bivariate one-sample optimal location test for spherical stable densities by Pade’ methods. Journal of Multivariate Analysis 144, pages 189-199.
Crossref
Hannu Oja, Davy Paindaveine & Sara Taskinen. (2016) Affine-invariant rank tests for multivariate independence in independent component models. Electronic Journal of Statistics 10:2.
Crossref
Anirvan Chakraborty & Probal Chaudhuri. 2015. Modern Nonparametric, Robust and Multivariate Methods. Modern Nonparametric, Robust and Multivariate Methods 351 370 .
Christophe Ley & Davy Paindaveine. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Marc Hallin. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Ronald H. Randles. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Ronald H. Randles. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
A. Niinimaa & H. Oja. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Gérard Biau, Luc Devroye, Vida Dujmović & Adam Krzyżak. (2012) An affine invariant -nearest neighbor regression estimate . Journal of Multivariate Analysis 112, pages 24-34.
Crossref
Christophe Ley & Davy Paindaveine. 2001. Encyclopedia of Environmetrics. Encyclopedia of Environmetrics.
Marc Hallin & Stefan Van Aelst. 2001. Encyclopedia of Environmetrics. Encyclopedia of Environmetrics.
Marc Hallin. 2001. Encyclopedia of Environmetrics. Encyclopedia of Environmetrics.
Gerard Biau, Adam Krzyzak, Luc Devroye & Vida Dujmovic. (2012) An affine invariant k-nearest neighbor regression estimate. An affine invariant k-nearest neighbor regression estimate.
Moshe Gabel, Assaf Schuster, Ran-Gilad Bachrach & Nikolaj Bjorner. (2012) Latent fault detection in large scale services. Latent fault detection in large scale services.
Shojaeddin Chenouri & Christopher G. Small. (2012) A nonparametric multivariate multisample test based on data depth. Electronic Journal of Statistics 6:none.
Crossref
Sunil K. Mathur. (2008) A new nonparametric bivariate test for two sample location problem. Statistical Methods and Applications 18:3, pages 375-388.
Crossref
Klaus Nordhausen, Hannu Oja & Davy Paindaveine. (2009) Signed-rank tests for location in the symmetric independent component model. Journal of Multivariate Analysis 100:5, pages 821-834.
Crossref
Michael Vock. (2008) Enhanced one-sided confidence regions for a multivariate location parameter. Journal of Multivariate Analysis 99:9, pages 2125-2135.
Crossref
Abdessamad Saidi & Roch Roy. (2008) ROBUST OPTIMAL TESTS FOR CAUSALITY IN MULTIVARIATE TIME SERIES. Econometric Theory 24:4, pages 948-987.
Crossref
Marc Hallin & Davy Paindaveine. (2006) Semiparametrically efficient rank-based inference for shape. I. optimal rank-based tests for sphericity. The Annals of Statistics 34:6.
Crossref
A. Niinimaa & H. Oja. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Ronald H. Randles. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Ronald H. Randles. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Ziyad R. Mahfoud & Ronald H. Randles. (2005) Practical tests for randomized complete block designs. Journal of Multivariate Analysis 96:1, pages 73-92.
Crossref
Marc Hallin & Davy Paindaveine. (2005) Affine-invariant aligned rank tests for the multivariate general linear model with VARMA errors. Journal of Multivariate Analysis 93:1, pages 122-163.
Crossref
Marc Hallin & Davy Paindaveine. (2004) Rank-based optimal tests of the adequacy of an elliptic VARMA model. The Annals of Statistics 32:6.
Crossref
D. Paindaveine. (2004) A unified and elementary proof of serial and nonserial, univariate and multivariate, Chernoff–Savage results. Statistical Methodology 1:1-2, pages 81-91.
Crossref
A. Niinimaa & H. Oja. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Ronald H. Randles. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Ronald H. Randles. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Denis Larocque. (2008) An affine‐invariant multivariate sign test for cluster correlated data. Canadian Journal of Statistics 31:4, pages 437-455.
Crossref
Deo Kumar Srivastava & Govind S. Mudholkar. 2003. Statistics in Industry. Statistics in Industry 907 956 .
Wendy Czika & Jack J. Berry. (2002) Using All Alleles in the Multiallelic Versions of the SDT and Combined SDT/TDT. The American Journal of Human Genetics 71:5, pages 1235-1236.
Crossref
Marc Hallin & Davy Paindaveine. 2002. Statistical Data Analysis Based on the L1-Norm and Related Methods. Statistical Data Analysis Based on the L1-Norm and Related Methods 271 282 .
David Curtis, Michael B. Miller & Pak C. Sham. (1999) Combining the Sibling Disequilibrium Test and Transmission/Disequilibrium Test for Multiallelic Markers. The American Journal of Human Genetics 64:6, pages 1785-1786.
Crossref
Georg Neuhaus & Li-Xing Zhu. (1999) Permutation Tests for Multivariate Location Problems. Journal of Multivariate Analysis 69:2, pages 167-192.
Crossref
Steve Horvath & Nan M. Laird. (1998) A Discordant-Sibship Test for Disequilibrium and Linkage: No Need for Parental Data. The American Journal of Human Genetics 63:6, pages 1886-1897.
Crossref
Bruce M. Brown, Peter Hall & G.Alastair Young. (1997) On the Effect of Inliers on the Spatial Median. Journal of Multivariate Analysis 63:1, pages 88-104.
Crossref
Thomas P. Hettmansperger & Hannu Oja. (1994) Affine Invariant Multivariate Multisample Sign Tests. Journal of the Royal Statistical Society Series B: Statistical Methodology 56:1, pages 235-249.
Crossref
Thomas P. Hettmansperger, Jukka Nyblom & Hannu Oja. (1994) Affine Invariant Multivariate One-Sample Sign Tests. Journal of the Royal Statistical Society Series B: Statistical Methodology 56:1, pages 221-234.
Crossref
A. D. Pouliezos & G. S. StavrakakisA. D. Pouliezos & G. S. Stavrakakis. 1994. Real Time Fault Monitoring of Industrial Processes. Real Time Fault Monitoring of Industrial Processes 1 92 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.