vti_encoding:SR|utf8-nl vti_author:SR|Slim-PC\\SlimSly vti_modifiedby:SR|Slim-PC\\SlimSly vti_timelastmodified:TR|15 Jul 2013 12:13:41 -0000 vti_timecreated:TR|15 Jul 2013 12:05:31 -0000 vti_title:SR|Ties Adjusted Two Way Analysis Of Variance Tests with Unequal Observations Per Cell vti_extenderversion:SR|12.0.0.0 vti_backlinkinfo:VX| vti_nexttolasttimemodified:TW|15 Jul 2013 12:10:21 -0000 vti_cacheddtm:TX|15 Jul 2013 12:13:41 -0000 vti_filesize:IR|11196 vti_cachedtitle:SR|Ties Adjusted Two Way Analysis Of Variance Tests with Unequal Observations Per Cell vti_cachedbodystyle:SR| vti_cachedlinkinfo:VX|H|favicon.ico Q|default.css Q|headerpicture.css S|images/sjp_logo.jpg A|search.php H|http://www.sjpub.org H|http://www.sjpub.org/journals.html H|http://www.sjpub.org/sjms.html H|http://www.sjpub.org/submit.html H|http://www.sjpub.org/sjeeditorial.html H|http://www.sjpub.org/aboutus.html H|http://www.sjpub.org/contactus.html H|http://creativecommons.org/licenses/by/3.0/ H|http://www.sjpub.org/sjms/sjms-104.pdf H|http://www.sjpub.org/sjms.html D|clsid:D27CDB6E-AE6D-11cf-96B8-444553540000 D|http://fpdownload.macromedia.com/pub/shockwave/cabs/flash/swflash.cab S|Journal-Cover.swf S|Journal-Cover.swf H|http://www.sjpub.org/sje-index.html H|http://www.sjpub.org/sje-bibliographic.html H|http://www.sjpub.org/sjms-aim.html H|http://www.sjpub.org/sjms.html H|http://www.sjpub.org/sjmseditorial.html H|http://www.sjpub.org/contactus.html H|http://www.sjpub.org/publishwithus.html H|http://www.sjpub.org/authorguide.html H|http://www.sjpub.org/submit.html H|http://www.sjpub.org/authorfaq.html H|http://www.sjpub.org/joineditors.html H|http://www.sjpub.org/joinreviewers.html H|http://www.sjpub.org/sitemap.html vti_cachedsvcrellinks:VX|NHUS|sjms/abstract/favicon.ico FQUS|sjms/abstract/default.css FQUS|sjms/abstract/headerpicture.css FSUS|sjms/abstract/images/sjp_logo.jpg NAUS|sjms/abstract/search.php NHHS|http://www.sjpub.org NHHS|http://www.sjpub.org/journals.html NHHS|http://www.sjpub.org/sjms.html NHHS|http://www.sjpub.org/submit.html NHHS|http://www.sjpub.org/sjeeditorial.html NHHS|http://www.sjpub.org/aboutus.html NHHS|http://www.sjpub.org/contactus.html NHHS|http://creativecommons.org/licenses/by/3.0/ NHHS|http://www.sjpub.org/sjms/sjms-104.pdf NHHS|http://www.sjpub.org/sjms.html NDUS|clsid:D27CDB6E-AE6D-11cf-96B8-444553540000 NDHS|http://fpdownload.macromedia.com/pub/shockwave/cabs/flash/swflash.cab FSUS|sjms/abstract/Journal-Cover.swf FSUS|sjms/abstract/Journal-Cover.swf NHHS|http://www.sjpub.org/sje-index.html NHHS|http://www.sjpub.org/sje-bibliographic.html NHHS|http://www.sjpub.org/sjms-aim.html NHHS|http://www.sjpub.org/sjms.html NHHS|http://www.sjpub.org/sjmseditorial.html NHHS|http://www.sjpub.org/contactus.html NHHS|http://www.sjpub.org/publishwithus.html NHHS|http://www.sjpub.org/authorguide.html NHHS|http://www.sjpub.org/submit.html NHHS|http://www.sjpub.org/authorfaq.html NHHS|http://www.sjpub.org/joineditors.html NHHS|http://www.sjpub.org/joinreviewers.html NHHS|http://www.sjpub.org/sitemap.html vti_cachedneedsrewrite:BR|false vti_cachedhasbots:BR|false vti_cachedhastheme:BR|false vti_cachedhasborder:BR|false vti_metatags:VR|HTTP-EQUIV=Content-Type text/html;\\ charset=iso-8859-1 citation_author Oyeka\\ I.C.A citation_title Ties\\ Adjusted\\ Two\\ Way\\ Analysis\\ Of\\ Variance\\ Tests\\ with\\ Unequal\\ Observations\\ Per\\ Cell citation_pdf_url http://www.sjpub.org/sjms/sjms-104.pdf citation_year 2013 citation_online_date 2013 citation_journal_title Science\\ Journal\\ of\\ Mathematics\\ and\\ Statistics citation_abstract This\\ paper\\ proposes\\ a\\ non-parametric\\ statistical\\ method\\ for\\ the\\ analysis\\ of\\ factor\r\neffects\\ in\\ a\\ two\\ factor\\ analysis\\ of\\ variance\\ type\\ model\\ with\\ unequal\\ observations\\ or\r\nreplications\\ per\\ cell\\ or\\ treatment\\ combination.\\ It\\ is\\ here,\\ for\\ simplicity\\ assumed\\ that\r\nthere\\ are\\ no\\ interactions\\ between\\ the\\ factors\\ of\\ interest\\ or\\ that\\ such\\ interactions\\ have\r\nbeen\\ removed\\ by\\ appropriate\\ data\\ transformation.\\ The\\ proposed\\ test\\ statistics\\ are\r\nintrinsically\\ and\\ structurally\\ adjusted\\ for\\ the\\ possible\\ presence\\ of\\ ties\\ between\r\nobservations\\ in\\ each\\ cell\\ or\\ treatment\\ combination,\\ thereby\\ obviating\\ the\\ need\\ to\r\nrequire\\ the\\ sampled\\ populations\\ to\\ be\\ continuous\\ or\\ even\\ numeric.\\ The\\ populations\r\nmay\\ be\\ measurements\\ on\\ as\\ low\\ as\\ the\\ ordinal\\ scale.\\ The\\ method\\ enables\\ the\r\nresearcher\\ test\\ for\\ the\\ statistical\\ significance\\ of\\ not\\ only\\ the\\ effect\\ of\\ each\\ factor\\ level\r\nbut\\ also\\ for\\ the\\ equally\\ of\\ several\\ factor\\ level\\ effects.\r\nThe\\ proposed\\ method\\ which\\ is\\ generally\\ more\\ robust\\ than\\ the\\ corresponding\\ classical\r\n‘F’\\ test\\ that\\ may\\ be\\ used\\ for\\ the\\ same\\ purpose\\ is\\ illustrated\\ with\\ some\\ sample\\ data\\ and\r\nshown\\ to\\ be\\ as\\ expected\\ more\\ powerful\\ than\\ an\\ alternative\\ ties-unadjusted\\ method\r\nwhich\\ is\\ shown\\ to\\ have\\ reduced\\ degrees\\ of\\ freedom,\\ for\\ the\\ same\\ sample\\ size. dc.rights http://creativecommons.org/licenses/by/3.0/ citation_volume 2013 citation_publisher Science\\ Journal\\ Publication citation_issn 2276-6324 citation_abstract_html_url http://www.sjpub.org/sjms/abstract/sjms-104.html vti_charset:SR|iso-8859-1