{"id":619,"date":"2020-03-22T09:00:27","date_gmt":"2020-03-22T09:00:27","guid":{"rendered":"https:\/\/climmob.net\/blog\/wiki\/?p=619"},"modified":"2022-06-21T14:11:57","modified_gmt":"2022-06-21T14:11:57","slug":"plackett-luce-model","status":"publish","type":"post","link":"https:\/\/climmob.net\/blog\/wiki\/plackett-luce-model\/","title":{"rendered":"Plackett-Luce model"},"content":{"rendered":"<p>In a tricot project, <a href=\"https:\/\/climmob.net\/blog\/wiki\/ranking\/\">ranking<\/a> data is collected on all participants (either farmers or consumers) with each one of them contributing one \u2018partial ranking\u2019. The <a href=\"https:\/\/climmob.net\/blog\/wiki\/about-climmob\/\">ClimMob software<\/a> uses the statistical Plackett-Luce model to combine all these partial rankings into a full picture.<\/p>\n<p>The image below visualizes an example. Here, three growers each rank their individual set of three technology options (for example, crop varieties). Participant 1, for example, reported that var 1 was the best technology option, while var4 was the worst, and var3 took a middle position.<\/p>\n<p>The partial rankings from all participants are then combined, giving the overall ranking. When there are disagreements (for example, some farmers find that var3 &gt; var4, but others report that var4 &gt; var3), the Plackett-Luce model determines the most likely overall ranking.<\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"alignnone wp-image-580 size-large\" src=\"https:\/\/climmob.net\/blog\/wiki\/wp-content\/uploads\/sites\/2\/2020\/03\/image015-1-1024x285.png\" alt=\"\" width=\"980\" height=\"273\" srcset=\"https:\/\/climmob.net\/blog\/wiki\/wp-content\/uploads\/sites\/2\/2020\/03\/image015-1-1024x285.png 1024w, https:\/\/climmob.net\/blog\/wiki\/wp-content\/uploads\/sites\/2\/2020\/03\/image015-1-300x84.png 300w, https:\/\/climmob.net\/blog\/wiki\/wp-content\/uploads\/sites\/2\/2020\/03\/image015-1-768x214.png 768w, https:\/\/climmob.net\/blog\/wiki\/wp-content\/uploads\/sites\/2\/2020\/03\/image015-1-60x17.png 60w, https:\/\/climmob.net\/blog\/wiki\/wp-content\/uploads\/sites\/2\/2020\/03\/image015-1-150x42.png 150w, https:\/\/climmob.net\/blog\/wiki\/wp-content\/uploads\/sites\/2\/2020\/03\/image015-1.png 1134w\" sizes=\"(max-width: 980px) 100vw, 980px\" \/><\/p>\n<p><em>Further reading<\/em><\/p>\n<ul>\n<li>Plackett, R. L. 1975. <a href=\"https:\/\/doi.org\/10.2307\/2346567\">The analysis of permutations.<\/a> Applied Statistics\u00a024: 193\u2013202.<\/li>\n<li>Luce, R. Duncan. 1959.\u00a0Individual choice behavior: A theoretical analysis. New York: Wiley.<\/li>\n<li>Turner, H., van Etten, J., Firth, D., Kosmidis, I., 2019. <a href=\"https:\/\/arxiv.org\/abs\/1810.12068\">Modelling rankings in R: the PlackettLuce package.<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>In a tricot project, ranking data is collected on all participants (either farmers or consumers) with each one of them contributing one \u2018partial ranking\u2019. The ClimMob software uses the statistical Plackett-Luce model to combine all these partial rankings into a full picture. The image below visualizes an example. Here, three growers each rank their individual [&hellip;]<\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[164],"tags":[],"class_list":["post-619","post","type-post","status-publish","format-standard","hentry","category-glossary"],"_links":{"self":[{"href":"https:\/\/climmob.net\/blog\/wiki\/wp-json\/wp\/v2\/posts\/619","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/climmob.net\/blog\/wiki\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/climmob.net\/blog\/wiki\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/climmob.net\/blog\/wiki\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/climmob.net\/blog\/wiki\/wp-json\/wp\/v2\/comments?post=619"}],"version-history":[{"count":5,"href":"https:\/\/climmob.net\/blog\/wiki\/wp-json\/wp\/v2\/posts\/619\/revisions"}],"predecessor-version":[{"id":1528,"href":"https:\/\/climmob.net\/blog\/wiki\/wp-json\/wp\/v2\/posts\/619\/revisions\/1528"}],"wp:attachment":[{"href":"https:\/\/climmob.net\/blog\/wiki\/wp-json\/wp\/v2\/media?parent=619"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/climmob.net\/blog\/wiki\/wp-json\/wp\/v2\/categories?post=619"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/climmob.net\/blog\/wiki\/wp-json\/wp\/v2\/tags?post=619"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}