You should not execute chi-square test but Fisher exact probability test when gland total of cross tabulation was smaller than 20 or one or greater than one cells had smaller than 5 expected value. In this article, I would like to describe how to solve expected value. Expected value is calculated with marginal total. <\/p>\n

We have cross tabulation below;<\/p>\n\n\n\n\n\n\n
\u00a0<\/td>\n TRUE<\/span><\/strong><\/td>\n FALSE<\/span><\/strong><\/td>\n Marginal total<\/span><\/td>\n<\/tr>\n
POSITIVE<\/span><\/strong><\/td>\n a<\/span><\/td>\n b<\/span><\/span><\/td>\n a + b<\/span><\/td>\n<\/tr>\n
NEGATIVE<\/span><\/strong><\/td>\n c<\/span><\/td>\n d<\/span><\/td>\n c + d<\/span><\/td>\n<\/tr>\n
Marginal total<\/span><\/td>\n a + c<\/span><\/td>\n b + d<\/span><\/td>\n N<\/span>\u00a0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
Expected value of each cells is below;<\/p>\n\n\n\n\n\n\n
\u00a0<\/td>\n TRUE<\/span><\/strong><\/td>\n FALSE<\/span><\/strong><\/td>\n Marginal total<\/span><\/td>\n<\/tr>\n
POSITIVE<\/span><\/strong><\/td>\n (a + b)*(a + c)\/N<\/span><\/span><\/td>\n (a + b)*(b + d)\/N<\/span><\/td>\n a + b<\/span><\/td>\n<\/tr>\n
NEGATIVE<\/span><\/strong><\/td>\n (c + d)*(a + c)\/N<\/span><\/td>\n (c + d)*(b + d)\/N<\/span><\/td>\n c + d<\/span><\/td>\n<\/tr>\n
Marginal total<\/span><\/td>\n a + c<\/span><\/td>\n b + d<\/span><\/td>\n N<\/span>\u00a0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
How to calculate Fisher\u2019s exact test with logarithm?<\/a><\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"
You should not execute chi-square test but Fisher exact probability test when gland total of cross tabulation … “When should you execute Fisher exact test, not chi-square test?” \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":[32,23,56,26],"class_list":["post-978","post","type-post","status-publish","format-standard","hentry","category-statistics","tag-chi-square-test","tag-cross-tabulation","tag-fisher-exact-probability-test","tag-marginal-total"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/978","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=978"}],"version-history":[{"count":10,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/978\/revisions"}],"predecessor-version":[{"id":7715,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/978\/revisions\/7715"}],"wp:attachment":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=978"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=978"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=978"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}