In logistic regression analysis, probability is converted to odds, p\/(1-p), and odds is converted to logarithm. Binomial distribution, either event of interest happens or doesn’t happen, is analysed by multiple regression analysis. <\/p>\n

Probability is between 0 and 1. Logarithm of odds (logit) diverges from minus infinity to plus infinity. See charts to understand. <\/p>\n

Probability is real between 0 and 1. Take probability horizontal axis and odds vertical axis, respectively. Vertical axis ranges from 0 to infinity, as following chart. <\/p>\n

\"Fig1. — Fig1. probability and odds<\/figcaption><\/figure>\n
Next, take odds horizontal axis and logarithm of odds vertical axis, respectively. Vertical axis ranges from minus infinity to plus infinity as following chart. <\/p>\n
$\"Fig2.$ <\/a>
Fig2. odds and logarithm of odds (logit)<\/figcaption><\/figure>\n
At last, take probability horizontal axis and logit vertical axis, respectively. Although probability ranges only from 0 to 1, logit diverges all real number as following chart. <\/p>\n
$\"Fig3.$ <\/a>
Fig3. probability and logit<\/figcaption><\/figure>\n<\/div>","protected":false},"excerpt":{"rendered":"
In logistic regression analysis, probability is converted to odds, p\/(1-p), and odds is converted to logarithm … “Why probability should be converted to logarithm of odds (logit) in logistic regression analysis?” \u306e<\/span>\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[7],"tags":[333,331,33,328,329,332,330,327],"class_list":["post-2035","post","type-post","status-publish","format-standard","hentry","category-statistics","tag-all-real-number","tag-binomial-distribution","tag-logarithm","tag-logistic-regression-analysis","tag-logit","tag-multiple-regression-analysis","tag-odds","tag-probability"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/2035","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2035"}],"version-history":[{"count":7,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/2035\/revisions"}],"predecessor-version":[{"id":6023,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/2035\/revisions\/6023"}],"wp:attachment":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2035"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2035"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2035"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}