{"id":636,"date":"2019-01-01T06:03:08","date_gmt":"2019-01-01T06:03:08","guid":{"rendered":"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=636"},"modified":"2019-01-01T06:03:08","modified_gmt":"2019-01-01T06:03:08","slug":"permutation-tests","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/chapter\/permutation-tests\/","title":{"rendered":"Permutation tests"},"content":{"raw":"<div><img class=\"aligncenter size-full wp-image-637\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-03.jpg\" alt=\"\" width=\"875\" height=\"139\" \/> <img class=\"aligncenter size-full wp-image-638\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-04.jpg\" alt=\"\" width=\"847\" height=\"363\" \/> <img class=\"aligncenter size-full wp-image-639\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-05.jpg\" alt=\"\" width=\"845\" height=\"465\" \/> <img class=\"aligncenter size-full wp-image-640\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-06.jpg\" alt=\"\" width=\"889\" height=\"609\" \/> <img class=\"aligncenter size-full wp-image-641\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-07.jpg\" alt=\"\" width=\"875\" height=\"581\" \/> <img class=\"aligncenter size-full wp-image-642\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-08.jpg\" alt=\"\" width=\"873\" height=\"244\" \/> <img class=\"aligncenter size-full wp-image-643\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-09.jpg\" alt=\"\" width=\"895\" height=\"465\" \/> <img class=\"aligncenter size-full wp-image-644\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-10.jpg\" alt=\"\" width=\"875\" height=\"635\" \/> <img class=\"aligncenter size-full wp-image-645\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-11.jpg\" alt=\"\" width=\"887\" height=\"453\" \/> <img class=\"aligncenter size-full wp-image-646\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-12.jpg\" alt=\"\" width=\"879\" height=\"561\" \/><\/div>\r\n<div><\/div>\r\n<div>References<\/div>\r\n<div><\/div>\r\n<ul>\r\n \t<li style=\"text-align: justify\">Lecture notes by Ken Rice and Thomas Lumley, availabale ahttp:\/\/faculty.washington.edu\/kenrice\/sisg\/SISG-08-06.pdf<\/li>\r\n \t<li style=\"text-align: justify\">Ernst MD (2004): Permutation Methods: A Basis for Exact Inference. Statistical Science, Vol-19, pp 676-685<\/li>\r\n<\/ul>","rendered":"<div><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-637\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-03.jpg\" alt=\"\" width=\"875\" height=\"139\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-03.jpg 875w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-03-300x48.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-03-768x122.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-03-65x10.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-03-225x36.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-03-350x56.jpg 350w\" sizes=\"auto, (max-width: 875px) 100vw, 875px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-638\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-04.jpg\" alt=\"\" width=\"847\" height=\"363\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-04.jpg 847w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-04-300x129.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-04-768x329.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-04-65x28.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-04-225x96.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-04-350x150.jpg 350w\" sizes=\"auto, (max-width: 847px) 100vw, 847px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-639\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-05.jpg\" alt=\"\" width=\"845\" height=\"465\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-05.jpg 845w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-05-300x165.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-05-768x423.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-05-65x36.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-05-225x124.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-05-350x193.jpg 350w\" sizes=\"auto, (max-width: 845px) 100vw, 845px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-640\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-06.jpg\" alt=\"\" width=\"889\" height=\"609\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-06.jpg 889w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-06-300x206.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-06-768x526.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-06-65x45.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-06-225x154.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-06-350x240.jpg 350w\" sizes=\"auto, (max-width: 889px) 100vw, 889px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-641\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-07.jpg\" alt=\"\" width=\"875\" height=\"581\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-07.jpg 875w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-07-300x199.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-07-768x510.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-07-65x43.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-07-225x149.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-07-350x232.jpg 350w\" sizes=\"auto, (max-width: 875px) 100vw, 875px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-642\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-08.jpg\" alt=\"\" width=\"873\" height=\"244\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-08.jpg 873w, 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alt=\"\" width=\"895\" height=\"465\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-09.jpg 895w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-09-300x156.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-09-768x399.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-09-65x34.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-09-225x117.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-09-350x182.jpg 350w\" sizes=\"auto, (max-width: 895px) 100vw, 895px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-644\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-10.jpg\" alt=\"\" width=\"875\" height=\"635\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-10.jpg 875w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-10-300x218.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-10-768x557.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-10-65x47.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-10-225x163.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-10-350x254.jpg 350w\" sizes=\"auto, (max-width: 875px) 100vw, 875px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-645\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-11.jpg\" alt=\"\" width=\"887\" height=\"453\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-11.jpg 887w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-11-300x153.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-11-768x392.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-11-65x33.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-11-225x115.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-11-350x179.jpg 350w\" sizes=\"auto, (max-width: 887px) 100vw, 887px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-646\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-12.jpg\" alt=\"\" width=\"879\" height=\"561\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-12.jpg 879w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-12-300x191.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-12-768x490.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-12-65x41.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-12-225x144.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9481_et_bootstrap_14_permutation_test-12-350x223.jpg 350w\" sizes=\"auto, (max-width: 879px) 100vw, 879px\" \/><\/div>\n<div><\/div>\n<div>References<\/div>\n<div><\/div>\n<ul>\n<li style=\"text-align: justify\">Lecture notes by Ken Rice and Thomas Lumley, availabale ahttp:\/\/faculty.washington.edu\/kenrice\/sisg\/SISG-08-06.pdf<\/li>\n<li style=\"text-align: justify\">Ernst MD (2004): Permutation Methods: A Basis for Exact Inference. Statistical Science, Vol-19, pp 676-685<\/li>\n<\/ul>\n","protected":false},"author":3,"menu_order":38,"template":"","meta":{"_acf_changed":false,"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":["souvik-kumar-bandyopadhyay"],"pb_section_license":""},"chapter-type":[],"contributor":[58],"license":[],"class_list":["post-636","chapter","type-chapter","status-publish","hentry","contributor-souvik-kumar-bandyopadhyay"],"part":3,"_links":{"self":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/pressbooks\/v2\/chapters\/636","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/wp\/v2\/users\/3"}],"version-history":[{"count":1,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/pressbooks\/v2\/chapters\/636\/revisions"}],"predecessor-version":[{"id":647,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/pressbooks\/v2\/chapters\/636\/revisions\/647"}],"part":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/pressbooks\/v2\/chapters\/636\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/wp\/v2\/media?parent=636"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/pressbooks\/v2\/chapter-type?post=636"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/wp\/v2\/contributor?post=636"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/wp\/v2\/license?post=636"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}