{"id":5917,"date":"2026-03-16T17:54:17","date_gmt":"2026-03-16T09:54:17","guid":{"rendered":"https:\/\/transactions.nast.ph\/?p=5917"},"modified":"2026-03-30T18:11:51","modified_gmt":"2026-03-30T10:11:51","slug":"assessment-of-influence-in-factor-analysis-regression","status":"publish","type":"post","link":"https:\/\/transactions.nast.ph\/?p=5917","title":{"rendered":"Assessment of Influence in Factor Analysis Regression"},"content":{"rendered":"\n<p class=\"has-text-align-center\">Zenaida F. Mateo<br>Department of Mathematical Sciences and Physics, Central Luzon State University<br>Department of Environmental and Mathematical Sciences, Okayama University<\/p>\n\n\n\n<p class=\"has-text-align-center\"><a href=\"http:\/\/doi.org\/10.57043\/transnastphl.1997.5917\" data-type=\"link\" data-id=\"doi.org\/10.57043\/transnastphl.1997.5917\">doi.org\/10.57043\/transnastphl.1997.5917<\/a><\/p>\n\n\n\n<p><strong>Abstract<\/strong><\/p>\n\n\n\n<p>Influence functions are derived for the parameters in the factor analysis (FA) regression and some measures are proposed to evaluate the influence on the estimated regression weights \u03b2^F and on the squared multiple correlation coefficient r 2 (\u03b2^F). As an application, a numerical study is conducted to illustrate the present procedure and to show fundamental properties of influence in FA regression from the sensitivity perspective<\/p>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\"  class=\"wp-block-file__embed\" data=\"https:\/\/transactions.nast.ph\/wp-content\/uploads\/2026\/03\/TNP-1997-19_29_Assessment-of-Influence-in-Factor-Analysis-Regression.pdf\" type=\"application\/pdf\" style=\"width:100%;height:1090px\" aria-label=\"Embed of TNP 1997 (19)_29_Assessment of Influence in Factor Analysis Regression.\"><\/object><a id=\"wp-block-file--media-325ab44b-1f83-4828-94d4-9615286ac67f\" href=\"https:\/\/transactions.nast.ph\/wp-content\/uploads\/2026\/03\/TNP-1997-19_29_Assessment-of-Influence-in-Factor-Analysis-Regression.pdf\">TNP 1997 (19)_29_Assessment of Influence in Factor Analysis Regression<\/a><a href=\"https:\/\/transactions.nast.ph\/wp-content\/uploads\/2026\/03\/TNP-1997-19_29_Assessment-of-Influence-in-Factor-Analysis-Regression.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-325ab44b-1f83-4828-94d4-9615286ac67f\">Download<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Zenaida F. Mateo<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[835],"tags":[],"class_list":{"0":"post-5917","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-1997-technical-papers","7":"czr-hentry"},"_links":{"self":[{"href":"https:\/\/transactions.nast.ph\/index.php?rest_route=\/wp\/v2\/posts\/5917"}],"collection":[{"href":"https:\/\/transactions.nast.ph\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/transactions.nast.ph\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/transactions.nast.ph\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/transactions.nast.ph\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5917"}],"version-history":[{"count":2,"href":"https:\/\/transactions.nast.ph\/index.php?rest_route=\/wp\/v2\/posts\/5917\/revisions"}],"predecessor-version":[{"id":6270,"href":"https:\/\/transactions.nast.ph\/index.php?rest_route=\/wp\/v2\/posts\/5917\/revisions\/6270"}],"wp:attachment":[{"href":"https:\/\/transactions.nast.ph\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5917"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/transactions.nast.ph\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5917"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/transactions.nast.ph\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5917"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}