{"id":649,"date":"2017-05-22T20:46:43","date_gmt":"2017-05-22T20:46:43","guid":{"rendered":"http:\/\/sites.warnercnr.colostate.edu\/gwhite\/?page_id=649"},"modified":"2017-05-22T22:05:01","modified_gmt":"2017-05-22T22:05:01","slug":"introduction-program-mark","status":"publish","type":"page","link":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/introduction-program-mark\/","title":{"rendered":"Introduction to Program MARK"},"content":{"rendered":"<div class=\"wpb-content-wrapper\"><p>[vc_row][vc_column][vc_tta_tour][vc_tta_section title=&#8221;Program MARK&#8221; tab_id=&#8221;1495486638963-0093a6d7-86a1&#8243;][vc_row_inner][vc_column_inner][vc_column_text]<\/p>\n<p style=\"text-align: center\">Program MARK<br \/>\nSlide 1 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-653\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide1-300x190.jpg\" alt=\"\" width=\"549\" height=\"348\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide1.jpg 512w\" sizes=\"auto, (max-width: 549px) 100vw, 549px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][\/vc_tta_section][vc_tta_section title=&#8221;Models in MARK&#8221; tab_id=&#8221;1495486638967-22925903-f4d8&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Models in MARK<br \/>\nSlide 2 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-657\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide2-1-300x190.jpg\" alt=\"\" width=\"539\" height=\"341\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide2-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide2-1.jpg 512w\" sizes=\"auto, (max-width: 539px) 100vw, 539px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Additional Features&#8221; tab_id=&#8221;1495487281919-a119fccd-3c22&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Additional Features<br \/>\nSlide 3 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-659\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide3-1-300x190.jpg\" alt=\"\" width=\"512\" height=\"324\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide3-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide3-1.jpg 512w\" sizes=\"auto, (max-width: 512px) 100vw, 512px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Knowledge Required of the User&#8221; tab_id=&#8221;1495487283534-4cb0862c-0836&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Knowledge Required of the User<br \/>\nSlide 4 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-660\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide4-1-300x190.jpg\" alt=\"\" width=\"567\" height=\"359\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide4-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide4-1.jpg 512w\" sizes=\"auto, (max-width: 567px) 100vw, 567px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Data are Required to Gain Reliable Knowledge&#8221; tab_id=&#8221;1495487284224-fa01ebc2-7c9f&#8221;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Data are Required to Gain Reliable Knowledge<br \/>\nSlide 5 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-661\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide5-1-300x190.jpg\" alt=\"\" width=\"543\" height=\"344\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide5-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide5-1.jpg 512w\" sizes=\"auto, (max-width: 543px) 100vw, 543px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Vocabulary of MARK&#8221; tab_id=&#8221;1495487284920-478c6454-1eb1&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Vocabulary of MARK<br \/>\nSlide 6 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-662\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide6-1-300x190.jpg\" alt=\"\" width=\"534\" height=\"338\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide6-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide6-1.jpg 512w\" sizes=\"auto, (max-width: 534px) 100vw, 534px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Likelihood Function&#8221; tab_id=&#8221;1495487285535-9d43e903-d2e6&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Likelihood Function<br \/>\nSlide 7 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-663\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide7-1-300x190.jpg\" alt=\"\" width=\"543\" height=\"344\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide7-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide7-1.jpg 512w\" sizes=\"auto, (max-width: 543px) 100vw, 543px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Basic Data&#8221; tab_id=&#8221;1495487286113-6f80d645-09b3&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Basic Data<br \/>\nSlide 8 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-665\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide8-1-300x190.jpg\" alt=\"\" width=\"657\" height=\"416\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide8-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide8-1.jpg 512w\" sizes=\"auto, (max-width: 657px) 100vw, 657px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Live Encounters&#8221; tab_id=&#8221;1495487286931-78446db8-5106&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Live Encounters<br \/>\nSlide 9 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-666\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide9-1-300x190.jpg\" alt=\"\" width=\"733\" height=\"464\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide9-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide9-1.jpg 512w\" sizes=\"auto, (max-width: 733px) 100vw, 733px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Live Encounters&#8221; tab_id=&#8221;1495488082682-b81dbdb7-5e02&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Live Encounters<br \/>\nSlide 10 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-667\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide10-1-300x190.jpg\" alt=\"\" width=\"553\" height=\"350\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide10-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide10-1.jpg 512w\" sizes=\"auto, (max-width: 553px) 100vw, 553px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Live Encounters&#8221; tab_id=&#8221;1495488083882-743d4c42-22f0&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Live Encounters<br \/>\nSlide 11 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-668\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide11-1-300x190.jpg\" alt=\"\" width=\"777\" height=\"492\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide11-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide11-1.jpg 512w\" sizes=\"auto, (max-width: 777px) 100vw, 777px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Live Encounters&#8221; tab_id=&#8221;1495488084326-bf2011ee-dd6e&#8221;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Live Encounters<br \/>\nSlide 12 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-669\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide12-1-300x190.jpg\" alt=\"\" width=\"624\" height=\"395\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide12-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide12-1.jpg 512w\" sizes=\"auto, (max-width: 624px) 100vw, 624px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Live Encounters&#8221; tab_id=&#8221;1495488084979-b02bb820-e291&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Live Encounters<br \/>\nSlide 13 of 54<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-670\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide13-1-300x190.jpg\" alt=\"\" width=\"521\" height=\"330\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide13-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide13-1.jpg 512w\" sizes=\"auto, (max-width: 521px) 100vw, 521px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Live Encounters&#8221; tab_id=&#8221;1495488085619-4026d176-7ec4&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Live Encounters<br \/>\nSlide 14 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-671\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide14-1-300x190.jpg\" alt=\"\" width=\"605\" height=\"383\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide14-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide14-1.jpg 512w\" sizes=\"auto, (max-width: 605px) 100vw, 605px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Live Encounters&#8221; tab_id=&#8221;1495488086918-64e91a65-2b32&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Live Encounters<br \/>\nSlide 15 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-672\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide15-1-300x190.jpg\" alt=\"\" width=\"551\" height=\"349\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide15-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide15-1.jpg 512w\" sizes=\"auto, (max-width: 551px) 100vw, 551px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Live Encounters&#8221; tab_id=&#8221;1495488087470-f2cf5d84-d0ec&#8221;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Live Encounters<br \/>\nSlide 16 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-673\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide16-1-300x190.jpg\" alt=\"\" width=\"641\" height=\"406\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide16-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide16-1.jpg 512w\" sizes=\"auto, (max-width: 641px) 100vw, 641px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Live Encounters&#8221; tab_id=&#8221;1495488088002-4875251e-4cb5&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Live Encounters<br \/>\nSlide 17 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-674\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide17-1-300x190.jpg\" alt=\"\" width=\"616\" height=\"390\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide17-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide17-1.jpg 512w\" sizes=\"auto, (max-width: 616px) 100vw, 616px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Live Encounters&#8221; tab_id=&#8221;1495488088565-4d383535-6e27&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Live Encounters<br \/>\nSlide 18 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-675\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide18-1-300x190.jpg\" alt=\"\" width=\"646\" height=\"409\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide18-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide18-1.jpg 512w\" sizes=\"auto, (max-width: 646px) 100vw, 646px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Live Encounters&#8221; tab_id=&#8221;1495488089085-510c8206-cb3a&#8221;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Live Encounters<br \/>\nSlide 19 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-676\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide19-1-300x190.jpg\" alt=\"\" width=\"627\" height=\"397\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide19-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide19-1.jpg 512w\" sizes=\"auto, (max-width: 627px) 100vw, 627px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Model Building&#8221; tab_id=&#8221;1495488089898-fa8f8069-1508&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Model Building<br \/>\nSlide 20 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-677\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide20-1-300x190.jpg\" alt=\"\" width=\"752\" height=\"476\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide20-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide20-1.jpg 512w\" sizes=\"auto, (max-width: 752px) 100vw, 752px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Parameter Index Matrix \u2013 PIM&#8221; tab_id=&#8221;1495488090679-e822e7a3-d871&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Parameter Index Matrix \u2013 PIM<br \/>\nSlide 21 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-678\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide21-1-300x190.jpg\" alt=\"\" width=\"630\" height=\"399\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide21-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide21-1.jpg 512w\" sizes=\"auto, (max-width: 630px) 100vw, 630px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Parameter Index Matrix \u2013 PIM&#8221; tab_id=&#8221;1495488091597-1d59f9e3-4340&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Parameter Index Matrix \u2013 PIM<br \/>\nSlide 22 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-679\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide22-1-300x190.jpg\" alt=\"\" width=\"589\" height=\"373\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide22-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide22-1.jpg 512w\" sizes=\"auto, (max-width: 589px) 100vw, 589px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Parameter Index Matrix \u2013 PIM&#8221; tab_id=&#8221;1495488092273-2a637c32-a304&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Parameter Index Matrix \u2013 PIM<br \/>\nSlide 23 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-680\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide23-1-300x190.jpg\" alt=\"\" width=\"654\" height=\"414\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide23-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide23-1.jpg 512w\" sizes=\"auto, (max-width: 654px) 100vw, 654px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Parameter Index Matrix \u2013 PIM&#8221; tab_id=&#8221;1495488093249-9d7350b0-c33c&#8221;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Parameter Index Matrix \u2013 PIM<br \/>\nSlide 24 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-681\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide24-1-300x190.jpg\" alt=\"\" width=\"603\" height=\"382\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide24-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide24-1.jpg 512w\" sizes=\"auto, (max-width: 603px) 100vw, 603px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Parameter Index Matrix \u2013 PIM&#8221; tab_id=&#8221;1495488094424-98923c9e-7ffa&#8221;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Parameter Index Matrix \u2013 PIM<br \/>\nSlide 25 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-682\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide25-1-300x190.jpg\" alt=\"\" width=\"621\" height=\"393\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide25-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide25-1.jpg 512w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Parameter Index Matrix \u2013 PIM&#8221; tab_id=&#8221;1495488095264-0a96819c-145c&#8221;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Parameter Index Matrix \u2013 PIM<br \/>\nSlide 26 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-683\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide26-1-300x190.jpg\" alt=\"\" width=\"778\" height=\"493\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide26-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide26-1.jpg 512w\" sizes=\"auto, (max-width: 778px) 100vw, 778px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Parameter Index Matrix \u2013 PIM&#8221; tab_id=&#8221;1495488095728-343fbee5-997d&#8221;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Parameter Index Matrix \u2013 PIM<br \/>\nSlide 27 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-684\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide27-1-300x190.jpg\" alt=\"\" width=\"625\" height=\"396\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide27-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide27-1.jpg 512w\" sizes=\"auto, (max-width: 625px) 100vw, 625px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Parameter Index Matrix \u2013 PIM&#8221; tab_id=&#8221;1495488096113-dc4ee95f-4014&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Parameter Index Matrix \u2013 PIM<br \/>\nSlide 28 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-685\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide28-1-300x190.jpg\" alt=\"\" width=\"688\" height=\"436\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide28-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide28-1.jpg 512w\" sizes=\"auto, (max-width: 688px) 100vw, 688px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Design Matrix&#8221; tab_id=&#8221;1495488097409-081b27d0-881a&#8221;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Design Matrix<br \/>\nSlide 29 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-686\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide29-1-300x190.jpg\" alt=\"\" width=\"616\" height=\"390\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide29-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide29-1.jpg 512w\" sizes=\"auto, (max-width: 616px) 100vw, 616px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Individual Covariates&#8221; tab_id=&#8221;1495488098572-a84d13e2-f1e1&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Individual Covariates<br \/>\nSlide 30 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-687\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide30-1-300x190.jpg\" alt=\"\" width=\"674\" height=\"427\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide30-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide30-1.jpg 512w\" sizes=\"auto, (max-width: 674px) 100vw, 674px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;PIMs for Design Matrix Examples&#8221; tab_id=&#8221;1495488099499-1408e2b9-d770&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">PIMs for Design Matrix Examples<br \/>\nSlide 31 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-688\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide31-1-300x190.jpg\" alt=\"\" width=\"613\" height=\"388\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide31-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide31-1.jpg 512w\" sizes=\"auto, (max-width: 613px) 100vw, 613px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Model {theta(g*t)}&#8221; tab_id=&#8221;1495488100023-5edb8362-cf5b&#8221;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Model {theta(g*t)}<br \/>\nSlide 32 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-689\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide32-1-300x190.jpg\" alt=\"\" width=\"655\" height=\"415\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide32-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide32-1.jpg 512w\" sizes=\"auto, (max-width: 655px) 100vw, 655px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Link Functions&#8221; tab_id=&#8221;1495488100505-88bcb996-e828&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Link Functions<br \/>\nSlide 33 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-690\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide33-1-300x190.jpg\" alt=\"\" width=\"595\" height=\"377\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide33-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide33-1.jpg 512w\" sizes=\"auto, (max-width: 595px) 100vw, 595px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Design Matrix&#8221; tab_id=&#8221;1495488101324-a0a1651a-97eb&#8221;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Design Matrix<br \/>\nSlide 34 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-691\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide34-1-300x190.jpg\" alt=\"\" width=\"628\" height=\"398\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide34-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide34-1.jpg 512w\" sizes=\"auto, (max-width: 628px) 100vw, 628px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Design Matrix&#8221; tab_id=&#8221;1495488102041-77811fd6-cfa7&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Design Matrix<br \/>\nSlide 35 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-692\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide35-1-300x190.jpg\" alt=\"\" width=\"718\" height=\"455\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide35-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide35-1.jpg 512w\" sizes=\"auto, (max-width: 718px) 100vw, 718px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Design Matrix&#8221; tab_id=&#8221;1495488102511-56b2fa45-d5f2&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Design Matrix<br \/>\nSlide 36 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-693\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide36-1-300x190.jpg\" alt=\"\" width=\"559\" height=\"354\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide36-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide36-1.jpg 512w\" sizes=\"auto, (max-width: 559px) 100vw, 559px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Model {theta(.)}&#8221; tab_id=&#8221;1495488103565-aeb18751-a8ab&#8221;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Model {theta(.)}<br \/>\nSlide 37 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-694\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide37-1-300x190.jpg\" alt=\"\" width=\"665\" height=\"421\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide37-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide37-1.jpg 512w\" sizes=\"auto, (max-width: 665px) 100vw, 665px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Model {theta(g)}&#8221; tab_id=&#8221;1495488104320-deea5a6a-1484&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Model {theta(g)}<br \/>\nSlide 38 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-695\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide38-1-300x190.jpg\" alt=\"\" width=\"673\" height=\"426\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide38-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide38-1.jpg 512w\" sizes=\"auto, (max-width: 673px) 100vw, 673px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Model {theta(t)}&#8221; tab_id=&#8221;1495488104782-04b157e4-2b49&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Model {theta(t)}<br \/>\nSlide 39 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-696\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide39-1-300x190.jpg\" alt=\"\" width=\"505\" height=\"320\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide39-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide39-1.jpg 512w\" sizes=\"auto, (max-width: 505px) 100vw, 505px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Model {theta(g + t)}&#8221; tab_id=&#8221;1495488105249-ab0a2d4b-e43b&#8221;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Model {theta(g + t)}<br \/>\nSlide 40 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-697\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide40-1-300x190.jpg\" alt=\"\" width=\"608\" height=\"385\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide40-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide40-1.jpg 512w\" sizes=\"auto, (max-width: 608px) 100vw, 608px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Model {theta(g*t)}&#8221; tab_id=&#8221;1495488106031-da488316-8c31&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Model {theta(g*t)}<br \/>\nSlide 41 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-698\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide41-1-300x190.jpg\" alt=\"\" width=\"600\" height=\"380\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide41-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide41-1.jpg 512w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Model {theta(T)}&#8221; tab_id=&#8221;1495488107687-406ccbc8-a9ee&#8221;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Model {theta(T)}<br \/>\nSlide 42 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-699\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide42-1-300x190.jpg\" alt=\"\" width=\"639\" height=\"405\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide42-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide42-1.jpg 512w\" sizes=\"auto, (max-width: 639px) 100vw, 639px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Model {theta(g + T)}&#8221; tab_id=&#8221;1495488108745-a4afb577-22ff&#8221;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Model {theta(g + T)}<br \/>\nSlide 43 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-700\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide43-1-300x190.jpg\" alt=\"\" width=\"679\" height=\"430\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide43-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide43-1.jpg 512w\" sizes=\"auto, (max-width: 679px) 100vw, 679px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Model {theta(g*T)}&#8221; tab_id=&#8221;1495488109173-9b664115-8a11&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Model {theta(g*T)}<br \/>\nSlide 44 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-701\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide44-1-300x190.jpg\" alt=\"\" width=\"554\" height=\"351\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide44-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide44-1.jpg 512w\" sizes=\"auto, (max-width: 554px) 100vw, 554px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Model Selection&#8221; tab_id=&#8221;1495488109643-4d2490a6-54e9&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Model Selection<br \/>\nSlide 45 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-702\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide45-1-300x190.jpg\" alt=\"\" width=\"711\" height=\"450\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide45-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide45-1.jpg 512w\" sizes=\"auto, (max-width: 711px) 100vw, 711px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Model Selection&#8221; tab_id=&#8221;1495488110073-508a2be9-315e&#8221;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Model Selection<br \/>\nSlide 46 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-703\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide46-1-300x190.jpg\" alt=\"\" width=\"587\" height=\"372\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide46-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide46-1.jpg 512w\" sizes=\"auto, (max-width: 587px) 100vw, 587px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Selecting \u201cBest\u201d Model&#8221; tab_id=&#8221;1495488111604-9aa4da1a-bdef&#8221;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Selecting \u201cBest\u201d Model<br \/>\nSlide 47 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-704\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide47-1-300x190.jpg\" alt=\"\" width=\"579\" height=\"367\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide47-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide47-1.jpg 512w\" sizes=\"auto, (max-width: 579px) 100vw, 579px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Program MARK Assumption&#8221; tab_id=&#8221;1495488112077-846ce2d4-50c7&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Program MARK Assumption<br \/>\nSlide 48 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-705\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide48-1-300x190.jpg\" alt=\"\" width=\"619\" height=\"392\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide48-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide48-1.jpg 512w\" sizes=\"auto, (max-width: 619px) 100vw, 619px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Variance Components&#8221; tab_id=&#8221;1495488112509-8d31619e-3653&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Variance Components<br \/>\nSlide 49 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-706\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide49-1-300x190.jpg\" alt=\"\" width=\"567\" height=\"359\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide49-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide49-1.jpg 512w\" sizes=\"auto, (max-width: 567px) 100vw, 567px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Process Variance \u20ac2&#8243; tab_id=&#8221;1495488113004-3b4ac427-6549&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Process Variance \u20ac2<br \/>\nSlide 50 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-707\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide50-1-300x190.jpg\" alt=\"\" width=\"660\" height=\"418\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide50-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide50-1.jpg 512w\" sizes=\"auto, (max-width: 660px) 100vw, 660px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Example&#8221; tab_id=&#8221;1495490530611-bb2731cf-92e2&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Example<br \/>\nSlide 51 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-708\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide51-1-300x190.jpg\" alt=\"\" width=\"545\" height=\"345\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide51-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide51-1.jpg 512w\" sizes=\"auto, (max-width: 545px) 100vw, 545px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Example Continued&#8221; tab_id=&#8221;1495490531598-b342dff3-7573&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Example Continued<br \/>\nSlide 52 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-709\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide52-300x190.jpg\" alt=\"\" width=\"567\" height=\"359\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide52-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide52.jpg 512w\" sizes=\"auto, (max-width: 567px) 100vw, 567px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Program Documentation&#8221; tab_id=&#8221;1495490532237-73e5c3aa-006f&#8221;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Program Documentation<br \/>\nSlide 53 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-711\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide53-1-300x190.jpg\" alt=\"\" width=\"649\" height=\"411\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide53-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide53-1.jpg 512w\" sizes=\"auto, (max-width: 649px) 100vw, 649px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Program Availability&#8221; tab_id=&#8221;1495490532755-c9eb43fd-5a81&#8243;][vc_column_text]<\/p>\n<p style=\"text-align: center\">Program Availability<br \/>\nSlide 54 of 54<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-712\" src=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide54-1-300x190.jpg\" alt=\"\" width=\"557\" height=\"353\" srcset=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide54-1-300x190.jpg 300w, https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-content\/uploads\/sites\/73\/2017\/05\/slide54-1.jpg 512w\" sizes=\"auto, (max-width: 557px) 100vw, 557px\" \/><\/p>\n<p>[\/vc_column_text][\/vc_tta_section][\/vc_tta_tour][\/vc_column][\/vc_row]<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>[vc_row][vc_column][vc_tta_tour][vc_tta_section title=&#8221;Program MARK&#8221; tab_id=&#8221;1495486638963-0093a6d7-86a1&#8243;][vc_row_inner][vc_column_inner][vc_column_text] Program MARK Slide 1 of 54 [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][\/vc_tta_section][vc_tta_section title=&#8221;Models in MARK&#8221; tab_id=&#8221;1495486638967-22925903-f4d8&#8243;][vc_column_text] Models in MARK Slide 2 of 54 [\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Additional Features&#8221; tab_id=&#8221;1495487281919-a119fccd-3c22&#8243;][vc_column_text] Additional Features Slide 3 of 54 [\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Knowledge Required of the User&#8221; tab_id=&#8221;1495487283534-4cb0862c-0836&#8243;][vc_column_text] Knowledge &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/introduction-program-mark\/\"> <span class=\"screen-reader-text\">Introduction to Program MARK<\/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-649","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/pages\/649","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=649"}],"version-history":[{"count":8,"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/pages\/649\/revisions"}],"predecessor-version":[{"id":713,"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/pages\/649\/revisions\/713"}],"wp:attachment":[{"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/media?parent=649"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}