{"id":405,"date":"2017-05-06T04:20:45","date_gmt":"2017-05-06T04:20:45","guid":{"rendered":"http:\/\/sites.warnercnr.colostate.edu\/gwhite\/?page_id=405"},"modified":"2017-05-06T04:20:45","modified_gmt":"2017-05-06T04:20:45","slug":"identity-design-matrix1","status":"publish","type":"page","link":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/identity-design-matrix1\/","title":{"rendered":"Identity Design Matrix1"},"content":{"rendered":"<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\"><a href=\"http:\/\/oldweb.warnercnr.colostate.edu\/~gwhite\/mark\/markhelp\/index.html\">Contents<\/a> &#8211; <a href=\"http:\/\/oldweb.warnercnr.colostate.edu\/~gwhite\/mark\/markhelp\/idx.htm\">Index<\/a><\/span><\/p>\n<hr \/>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: medium\"><b>Identity Design Matrix<\/b><\/span><\/p>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">To fill in the <\/span><span style=\"font-family: Arial, helvetica, sans-serif;font-size: small\"><a href=\"http:\/\/oldweb.warnercnr.colostate.edu\/~gwhite\/mark\/markhelp\/design_matrix.htm\">design matrix<\/a><\/span><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\"> with an Identity matrix, select the FillCol, Identity choices.\u00a0 The matrix is filled with zeros, and ones on the main diagonal.\u00a0 This command is useful in filling the matrix after you have filled cells with incorrect values.\u00a0 As an example, suppose the following design matrix is on the screen, consisting of all zeros.<\/span><\/p>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0\u00a0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\u00a0<\/span><\/p>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">After the matrix is filled with an identity matrix, it would look like this.<\/span><\/p>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">1\u00a0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0\u00a0<\/span><br \/>\n<span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1\u00a0<\/span><\/p>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">If no design matrix is specified for a model, the identity design matrix is the default.\u00a0 With the identity design matrix, each real parameter (row) is a function of a single beta parameter (column).<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Contents &#8211; Index Identity Design Matrix To fill in the design matrix with an Identity matrix, select the FillCol, Identity choices.\u00a0 The matrix is filled with zeros, and ones on the main diagonal.\u00a0 This command is useful in filling the &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/identity-design-matrix1\/\"> <span class=\"screen-reader-text\">Identity Design Matrix1<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":117,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-405","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/pages\/405","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/users\/117"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/comments?post=405"}],"version-history":[{"count":1,"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/pages\/405\/revisions"}],"predecessor-version":[{"id":406,"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/pages\/405\/revisions\/406"}],"wp:attachment":[{"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/media?parent=405"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}