{"id":25025,"date":"2023-07-20T11:51:14","date_gmt":"2023-07-20T11:51:14","guid":{"rendered":"https:\/\/ungdung.hotronghiencuu.com\/open\/?p=25025"},"modified":"2023-07-20T18:51:14","modified_gmt":"2023-07-20T11:51:14","slug":"kiem-dinh-f-la-gi","status":"publish","type":"post","link":"https:\/\/ungdung.hotronghiencuu.com\/open\/kiem-dinh-f-la-gi","title":{"rendered":"Ki\u1ec3m \u0111\u1ecbnh F l\u00e0 g\u00ec? \u1ee8ng d\u1ee5ng trong ki\u1ec3m \u0111\u1ecbnh s\u1ef1 ph\u00f9 h\u1ee3p c\u1ee7a m\u00f4 h\u00ecnh h\u1ed3i quy tuy\u1ebfn t\u00ednh"},"content":{"rendered":"<div class=\"flex flex-grow flex-col gap-3\">\n<div class=\"min-h-[20px] flex flex-col items-start gap-4 whitespace-pre-wrap break-words\">\n<div class=\"markdown prose w-full break-words dark:prose-invert light\">\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_40 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" area-label=\"ez-toc-toggle-icon-1\"><label for=\"item-6ace44ed91a39\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input  type=\"checkbox\" id=\"item-6ace44ed91a39\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/ungdung.hotronghiencuu.com\/open\/kiem-dinh-f-la-gi\/#Khai_quat_ve_kiem_dinh_F\" title=\"Kh\u00e1i qu\u00e1t v\u1ec1 ki\u1ec3m \u0111\u1ecbnh F\">Kh\u00e1i qu\u00e1t v\u1ec1 ki\u1ec3m \u0111\u1ecbnh F<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/ungdung.hotronghiencuu.com\/open\/kiem-dinh-f-la-gi\/#Kiem_dinh_su_phu_hop_cua_mo_hinh_hoi_quy_tuyen_tinh_bang_kiem_dinh_F\" title=\"Ki\u1ec3m \u0111\u1ecbnh s\u1ef1 ph\u00f9 h\u1ee3p c\u1ee7a m\u00f4 h\u00ecnh h\u1ed3i quy tuy\u1ebfn t\u00ednh b\u1eb1ng ki\u1ec3m \u0111\u1ecbnh F\">Ki\u1ec3m \u0111\u1ecbnh s\u1ef1 ph\u00f9 h\u1ee3p c\u1ee7a m\u00f4 h\u00ecnh h\u1ed3i quy tuy\u1ebfn t\u00ednh b\u1eb1ng ki\u1ec3m \u0111\u1ecbnh F<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/ungdung.hotronghiencuu.com\/open\/kiem-dinh-f-la-gi\/#Vi_du_ve_Kiem_dinh_F_toan_bo_Overall_F-test\" title=\"V\u00ed d\u1ee5 v\u1ec1 Ki\u1ec3m \u0111\u1ecbnh F to\u00e0n b\u1ed9 (Overall F-test)\">V\u00ed d\u1ee5 v\u1ec1 Ki\u1ec3m \u0111\u1ecbnh F to\u00e0n b\u1ed9 (Overall F-test)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/ungdung.hotronghiencuu.com\/open\/kiem-dinh-f-la-gi\/#Vi_du_ve_Kiem_dinh_F_cho_tung_he_so_Individual_F-tests\" title=\"V\u00ed d\u1ee5 v\u1ec1 Ki\u1ec3m \u0111\u1ecbnh F cho t\u1eebng h\u1ec7 s\u1ed1 (Individual F-tests)\">V\u00ed d\u1ee5 v\u1ec1 Ki\u1ec3m \u0111\u1ecbnh F cho t\u1eebng h\u1ec7 s\u1ed1 (Individual F-tests)<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Khai_quat_ve_kiem_dinh_F\"><\/span>Kh\u00e1i qu\u00e1t v\u1ec1 ki\u1ec3m \u0111\u1ecbnh F<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Ki\u1ec3m \u0111\u1ecbnh F<\/strong>, c\u00f2n \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 ki\u1ec3m \u0111\u1ecbnh ph\u00e2n t\u00edch ph\u01b0\u01a1ng sai (ANOVA) l\u00e0 m\u1ed9t ph\u01b0\u01a1ng ph\u00e1p th\u1ed1ng k\u00ea \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 so s\u00e1nh s\u1ef1 kh\u00e1c bi\u1ec7t gi\u1eefa c\u00e1c gi\u00e1 tr\u1ecb trung b\u00ecnh c\u1ee7a ba ho\u1eb7c nhi\u1ec1u nh\u00f3m d\u1eef li\u1ec7u. N\u00f3 x\u00e1c \u0111\u1ecbnh xem c\u00f3 s\u1ef1 kh\u00e1c bi\u1ec7t \u0111\u00e1ng k\u1ec3 gi\u1eefa c\u00e1c gi\u00e1 tr\u1ecb trung b\u00ecnh c\u1ee7a c\u00e1c nh\u00f3m hay kh\u00f4ng.<\/p>\n<p><strong>Ki\u1ec3m \u0111\u1ecbnh F<\/strong> ho\u1ea1t \u0111\u1ed9ng d\u1ef1a tr\u00ean vi\u1ec7c so s\u00e1nh hai ph\u01b0\u01a1ng sai: ph\u01b0\u01a1ng sai gi\u1eefa c\u00e1c nh\u00f3m (between-group variance) v\u00e0 ph\u01b0\u01a1ng sai trong c\u00e1c nh\u00f3m (within-group variance). N\u1ebfu s\u1ef1 kh\u00e1c bi\u1ec7t gi\u1eefa c\u00e1c gi\u00e1 tr\u1ecb trung b\u00ecnh c\u1ee7a c\u00e1c nh\u00f3m l\u1edbn h\u01a1n s\u1ef1 kh\u00e1c bi\u1ec7t trong c\u00e1c gi\u00e1 tr\u1ecb trong c\u00e1c nh\u00f3m, th\u00ec k\u1ebft qu\u1ea3 c\u1ee7a ki\u1ec3m \u0111\u1ecbnh F s\u1ebd cho th\u1ea5y c\u00f3 s\u1ef1 kh\u00e1c bi\u1ec7t \u0111\u00e1ng k\u1ec3 gi\u1eefa c\u00e1c nh\u00f3m.<\/p>\n<p>Trong ki\u1ec3m \u0111\u1ecbnh F, gi\u1ea3 thuy\u1ebft kh\u00f4ng (null hypothesis) l\u00e0 kh\u00f4ng c\u00f3 s\u1ef1 kh\u00e1c bi\u1ec7t \u0111\u00e1ng k\u1ec3 gi\u1eefa c\u00e1c nh\u00f3m, trong khi gi\u1ea3 thuy\u1ebft thay th\u1ebf (alternative hypothesis) l\u00e0 c\u00f3 s\u1ef1 kh\u00e1c bi\u1ec7t \u0111\u00e1ng k\u1ec3 gi\u1eefa c\u00e1c nh\u00f3m. K\u1ebft qu\u1ea3 c\u1ee7a ki\u1ec3m \u0111\u1ecbnh F s\u1ebd cho ph\u00e9p ch\u00fang ta \u0111\u01b0a ra k\u1ebft lu\u1eadn v\u1ec1 vi\u1ec7c ch\u1ea5p nh\u1eadn hay t\u1eeb ch\u1ed1i gi\u1ea3 thuy\u1ebft kh\u00f4ng.<\/p>\n<p>K\u1ebft qu\u1ea3 c\u1ee7a ki\u1ec3m \u0111\u1ecbnh F \u0111\u01b0\u1ee3c bi\u1ec3u th\u1ecb b\u1eb1ng gi\u00e1 tr\u1ecb p-value, \u0111\u1ea1i di\u1ec7n cho x\u00e1c su\u1ea5t \u0111\u1ec3 nh\u1eadn \u0111\u01b0\u1ee3c m\u1ed9t k\u1ebft qu\u1ea3 kh\u00e1c bi\u1ec7t ho\u1eb7c t\u01b0\u01a1ng t\u1ef1 nh\u01b0 \u0111\u00e3 quan s\u00e1t, n\u1ebfu gi\u1ea3 thuy\u1ebft kh\u00f4ng \u0111\u00fang. N\u1ebfu gi\u00e1 tr\u1ecb p-value nh\u1ecf h\u01a1n m\u1ed9t ng\u01b0\u1ee1ng x\u00e1c \u0111\u1ecbnh tr\u01b0\u1edbc (th\u01b0\u1eddng l\u00e0 0.05), ch\u00fang ta c\u00f3 th\u1ec3 t\u1eeb ch\u1ed1i gi\u1ea3 thuy\u1ebft kh\u00f4ng v\u00e0 k\u1ebft lu\u1eadn r\u1eb1ng c\u00f3 s\u1ef1 kh\u00e1c bi\u1ec7t \u0111\u00e1ng k\u1ec3 gi\u1eefa c\u00e1c nh\u00f3m.<\/p>\n<p>Ki\u1ec3m \u0111\u1ecbnh F \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng r\u1ed9ng r\u00e3i trong nhi\u1ec1u l\u0129nh v\u1ef1c, \u0111\u1eb7c bi\u1ec7t l\u00e0 trong ph\u00e2n t\u00edch d\u1eef li\u1ec7u v\u00e0 nghi\u00ean c\u1ee9u th\u1ed1ng k\u00ea \u0111\u1ec3 ki\u1ec3m tra s\u1ef1 \u1ea3nh h\u01b0\u1edfng c\u1ee7a c\u00e1c nh\u00e2n t\u1ed1 \u0111\u1ed1i v\u1edbi m\u1ed9t bi\u1ebfn ph\u1ee5 thu\u1ed9c.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Kiem_dinh_su_phu_hop_cua_mo_hinh_hoi_quy_tuyen_tinh_bang_kiem_dinh_F\"><\/span>Ki\u1ec3m \u0111\u1ecbnh s\u1ef1 ph\u00f9 h\u1ee3p c\u1ee7a m\u00f4 h\u00ecnh h\u1ed3i quy tuy\u1ebfn t\u00ednh b\u1eb1ng ki\u1ec3m \u0111\u1ecbnh F<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"flex flex-grow flex-col gap-3\">\n<div class=\"min-h-[20px] flex flex-col items-start gap-4 whitespace-pre-wrap break-words\">\n<div class=\"markdown prose w-full break-words dark:prose-invert light\">\n<p>\u0110\u1ec3 ki\u1ec3m \u0111\u1ecbnh s\u1ef1 ph\u00f9 h\u1ee3p c\u1ee7a m\u1ed9t m\u00f4 h\u00ecnh h\u1ed3i quy tuy\u1ebfn t\u00ednh b\u1eb1ng ki\u1ec3m \u0111\u1ecbnh F, ta s\u1eed d\u1ee5ng ki\u1ec3m \u0111\u1ecbnh F to\u00e0n b\u1ed9 (overall F-test) ho\u1eb7c ki\u1ec3m \u0111\u1ecbnh F cho t\u1eebng h\u1ec7 s\u1ed1 (individual F-tests) trong m\u00f4 h\u00ecnh h\u1ed3i quy. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 c\u00e1ch th\u1ef1c hi\u1ec7n c\u1ea3 hai lo\u1ea1i ki\u1ec3m \u0111\u1ecbnh F:<\/p>\n<ol>\n<li>Ki\u1ec3m \u0111\u1ecbnh F to\u00e0n b\u1ed9 (Overall F-test):\n<ul>\n<li>Gi\u1ea3 thuy\u1ebft kh\u00f4ng (null hypothesis): Kh\u00f4ng c\u00f3 m\u1ed1i quan h\u1ec7 tuy\u1ebfn t\u00ednh \u0111\u00e1ng k\u1ec3 gi\u1eefa bi\u1ebfn ph\u1ee5 thu\u1ed9c v\u00e0 b\u1ea5t k\u1ef3 bi\u1ebfn \u0111\u1ed9c l\u1eadp n\u00e0o.<\/li>\n<li>Gi\u1ea3 thuy\u1ebft thay th\u1ebf (alternative hypothesis): C\u00f3 \u00edt nh\u1ea5t m\u1ed9t bi\u1ebfn \u0111\u1ed9c l\u1eadp \u1ea3nh h\u01b0\u1edfng tuy\u1ebfn t\u00ednh \u0111\u00e1ng k\u1ec3 \u0111\u1ebfn bi\u1ebfn ph\u1ee5 thu\u1ed9c.<\/li>\n<li>C\u00e1c b\u01b0\u1edbc th\u1ef1c hi\u1ec7n: a. X\u00e2y d\u1ef1ng m\u00f4 h\u00ecnh h\u1ed3i quy tuy\u1ebfn t\u00ednh. b. S\u1eed d\u1ee5ng ph\u00e2n t\u00edch bi\u1ebfn ph\u00e2n t\u1eed (ANOVA) \u0111\u1ec3 t\u00ednh to\u00e1n gi\u00e1 tr\u1ecb F v\u00e0 gi\u00e1 tr\u1ecb p-value. c. So s\u00e1nh gi\u00e1 tr\u1ecb p-value v\u1edbi ng\u01b0\u1ee1ng \u00fd ngh\u0129a th\u1ed1ng k\u00ea (th\u01b0\u1eddng l\u00e0 0.05).<\/li>\n<li>K\u1ebft lu\u1eadn:\n<ul>\n<li>N\u1ebfu gi\u00e1 tr\u1ecb p-value nh\u1ecf h\u01a1n ng\u01b0\u1ee1ng \u00fd ngh\u0129a, ta b\u00e1c b\u1ecf gi\u1ea3 thuy\u1ebft kh\u00f4ng v\u00e0 k\u1ebft lu\u1eadn r\u1eb1ng c\u00f3 s\u1ef1 kh\u00e1c bi\u1ec7t tuy\u1ebfn t\u00ednh \u0111\u00e1ng k\u1ec3 gi\u1eefa \u00edt nh\u1ea5t m\u1ed9t bi\u1ebfn \u0111\u1ed9c l\u1eadp v\u00e0 bi\u1ebfn ph\u1ee5 thu\u1ed9c.<\/li>\n<li>N\u1ebfu gi\u00e1 tr\u1ecb p-value l\u1edbn h\u01a1n ng\u01b0\u1ee1ng \u00fd ngh\u0129a, ta kh\u00f4ng c\u00f3 b\u1eb1ng ch\u1ee9ng \u0111\u1ec3 b\u00e1c b\u1ecf gi\u1ea3 thuy\u1ebft kh\u00f4ng v\u00e0 k\u1ebft lu\u1eadn r\u1eb1ng kh\u00f4ng c\u00f3 s\u1ef1 kh\u00e1c bi\u1ec7t tuy\u1ebfn t\u00ednh \u0111\u00e1ng k\u1ec3 gi\u1eefa c\u00e1c bi\u1ebfn.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li>Ki\u1ec3m \u0111\u1ecbnh F cho t\u1eebng h\u1ec7 s\u1ed1 (Individual F-tests):\n<ul>\n<li>Gi\u1ea3 thuy\u1ebft kh\u00f4ng (null hypothesis): H\u1ec7 s\u1ed1 c\u1ee7a bi\u1ebfn \u0111\u1ed9c l\u1eadp t\u01b0\u01a1ng \u1ee9ng kh\u00f4ng \u1ea3nh h\u01b0\u1edfng tuy\u1ebfn t\u00ednh \u0111\u00e1ng k\u1ec3 \u0111\u1ebfn bi\u1ebfn ph\u1ee5 thu\u1ed9c.<\/li>\n<li>Gi\u1ea3 thuy\u1ebft thay th\u1ebf (alternative hypothesis): H\u1ec7 s\u1ed1 c\u1ee7a bi\u1ebfn \u0111\u1ed9c l\u1eadp t\u01b0\u01a1ng \u1ee9ng \u1ea3nh h\u01b0\u1edfng tuy\u1ebfn t\u00ednh \u0111\u00e1ng k\u1ec3 \u0111\u1ebfn bi\u1ebfn ph\u1ee5 thu\u1ed9c.<\/li>\n<li>C\u00e1c b\u01b0\u1edbc th\u1ef1c hi\u1ec7n: a. X\u00e2y d\u1ef1ng m\u00f4 h\u00ecnh h\u1ed3i quy tuy\u1ebfn t\u00ednh. b. S\u1eed d\u1ee5ng ki\u1ec3m \u0111\u1ecbnh t c\u1ee7a h\u1ec7 s\u1ed1 t\u01b0\u01a1ng \u1ee9ng \u0111\u1ec3 t\u00ednh to\u00e1n gi\u00e1 tr\u1ecb F v\u00e0 gi\u00e1 tr\u1ecb p-value. c. So s\u00e1nh gi\u00e1 tr\u1ecb p-value v\u1edbi ng\u01b0\u1ee1ng \u00fd ngh\u0129a th\u1ed1ng k\u00ea (th\u01b0\u1eddng l\u00e0 0.05).<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<div class=\"flex flex-grow flex-col gap-3\">\n<div class=\"min-h-[20px] flex flex-col items-start gap-4 whitespace-pre-wrap break-words\">\n<div class=\"markdown prose w-full break-words dark:prose-invert light\">\n<ul>\n<li>K\u1ebft lu\u1eadn:\n<ul>\n<li>N\u1ebfu gi\u00e1 tr\u1ecb p-value nh\u1ecf h\u01a1n ng\u01b0\u1ee1ng \u00fd ngh\u0129a, ta b\u00e1c b\u1ecf gi\u1ea3 thuy\u1ebft kh\u00f4ng v\u00e0 k\u1ebft lu\u1eadn r\u1eb1ng h\u1ec7 s\u1ed1 c\u1ee7a bi\u1ebfn \u0111\u1ed9c l\u1eadp t\u01b0\u01a1ng \u1ee9ng \u1ea3nh h\u01b0\u1edfng tuy\u1ebfn t\u00ednh \u0111\u00e1ng k\u1ec3 \u0111\u1ebfn bi\u1ebfn ph\u1ee5 thu\u1ed9c.<\/li>\n<li>N\u1ebfu gi\u00e1 tr\u1ecb p-value l\u1edbn h\u01a1n ng\u01b0\u1ee1ng \u00fd ngh\u0129a, ta kh\u00f4ng c\u00f3 b\u1eb1ng ch\u1ee9ng \u0111\u1ec3 b\u00e1c b\u1ecf gi\u1ea3 thuy\u1ebft kh\u00f4ng v\u00e0 k\u1ebft lu\u1eadn r\u1eb1ng h\u1ec7 s\u1ed1 c\u1ee7a bi\u1ebfn \u0111\u1ed9c l\u1eadp t\u01b0\u01a1ng \u1ee9ng kh\u00f4ng \u1ea3nh h\u01b0\u1edfng tuy\u1ebfn t\u00ednh \u0111\u00e1ng k\u1ec3 \u0111\u1ebfn bi\u1ebfn ph\u1ee5 thu\u1ed9c.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>C\u1ea3 ki\u1ec3m \u0111\u1ecbnh F to\u00e0n b\u1ed9 v\u00e0 ki\u1ec3m \u0111\u1ecbnh F cho t\u1eebng h\u1ec7 s\u1ed1 \u0111\u1ec1u gi\u00fap \u0111\u00e1nh gi\u00e1 s\u1ef1 ph\u00f9 h\u1ee3p c\u1ee7a m\u00f4 h\u00ecnh h\u1ed3i quy tuy\u1ebfn t\u00ednh. Ki\u1ec3m \u0111\u1ecbnh F to\u00e0n b\u1ed9 x\u00e1c \u0111\u1ecbnh xem m\u00f4 h\u00ecnh t\u1ed5ng th\u1ec3 c\u00f3 \u00fd ngh\u0129a hay kh\u00f4ng, trong khi ki\u1ec3m \u0111\u1ecbnh F cho t\u1eebng h\u1ec7 s\u1ed1 cho ph\u00e9p x\u00e1c \u0111\u1ecbnh \u1ea3nh h\u01b0\u1edfng c\u1ee7a t\u1eebng bi\u1ebfn \u0111\u1ed9c l\u1eadp l\u00ean bi\u1ebfn ph\u1ee5 thu\u1ed9c. K\u1ebft qu\u1ea3 c\u1ee7a ki\u1ec3m \u0111\u1ecbnh F gi\u00fap ch\u00fang ta \u0111\u01b0a ra quy\u1ebft \u0111\u1ecbnh v\u1ec1 vi\u1ec7c gi\u1eef l\u1ea1i ho\u1eb7c lo\u1ea1i b\u1ecf c\u00e1c bi\u1ebfn \u0111\u1ed9c l\u1eadp trong m\u00f4 h\u00ecnh v\u00e0 \u0111\u00e1nh gi\u00e1 s\u1ef1 ph\u00f9 h\u1ee3p c\u1ee7a m\u00f4 h\u00ecnh v\u1edbi d\u1eef li\u1ec7u.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Vi_du_ve_Kiem_dinh_F_toan_bo_Overall_F-test\"><\/span>V\u00ed d\u1ee5 v\u1ec1 Ki\u1ec3m \u0111\u1ecbnh F to\u00e0n b\u1ed9 (Overall F-test)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"flex flex-grow flex-col gap-3\">\n<div class=\"min-h-[20px] flex flex-col items-start gap-4 whitespace-pre-wrap break-words\">\n<div class=\"markdown prose w-full break-words dark:prose-invert light\">\n<p>Ch\u00fang ta s\u1ebd s\u1eed d\u1ee5ng m\u1ed9t v\u00ed d\u1ee5 \u0111\u1ec3 minh h\u1ecda c\u00e1ch th\u1ef1c hi\u1ec7n ki\u1ec3m \u0111\u1ecbnh F to\u00e0n b\u1ed9 (Overall F-test) trong m\u00f4 h\u00ecnh h\u1ed3i quy tuy\u1ebfn t\u00ednh. Gi\u1ea3 s\u1eed ch\u00fang ta quan t\u00e2m \u0111\u1ebfn m\u1ed1i quan h\u1ec7 gi\u1eefa l\u1ee3i t\u1ee9c \u0111\u1ea7u t\u01b0 (bi\u1ebfn ph\u1ee5 thu\u1ed9c) v\u00e0 hai bi\u1ebfn \u0111\u1ed9c l\u1eadp l\u00e0 thu nh\u1eadp v\u00e0 s\u1ed1 n\u0103m kinh nghi\u1ec7m. D\u1eef li\u1ec7u c\u1ee7a ch\u00fang ta bao g\u1ed3m m\u1ed9t t\u1eadp h\u1ee3p c\u00e1c quan s\u00e1t v\u1ec1 l\u1ee3i t\u1ee9c \u0111\u1ea7u t\u01b0, thu nh\u1eadp v\u00e0 s\u1ed1 n\u0103m kinh nghi\u1ec7m cho m\u1ed9t nh\u00f3m c\u00e1c nh\u00e0 \u0111\u1ea7u t\u01b0.<\/p>\n<p>B\u01b0\u1edbc 1: X\u00e2y d\u1ef1ng m\u00f4 h\u00ecnh h\u1ed3i quy tuy\u1ebfn t\u00ednh: Ch\u00fang ta s\u1eed d\u1ee5ng d\u1eef li\u1ec7u \u0111\u1ec3 x\u00e2y d\u1ef1ng m\u00f4 h\u00ecnh h\u1ed3i quy tuy\u1ebfn t\u00ednh v\u1edbi l\u1ee3i t\u1ee9c \u0111\u1ea7u t\u01b0 l\u00e0 bi\u1ebfn ph\u1ee5 thu\u1ed9c v\u00e0 thu nh\u1eadp v\u00e0 s\u1ed1 n\u0103m kinh nghi\u1ec7m l\u00e0 hai bi\u1ebfn \u0111\u1ed9c l\u1eadp.<\/p>\n<p>B\u01b0\u1edbc 2: T\u00ednh to\u00e1n gi\u00e1 tr\u1ecb F v\u00e0 gi\u00e1 tr\u1ecb p-value: Sau khi x\u00e2y d\u1ef1ng m\u00f4 h\u00ecnh h\u1ed3i quy, ch\u00fang ta s\u1eed d\u1ee5ng ph\u00e2n t\u00edch bi\u1ebfn ph\u00e2n t\u1eed (ANOVA) \u0111\u1ec3 t\u00ednh to\u00e1n gi\u00e1 tr\u1ecb F v\u00e0 gi\u00e1 tr\u1ecb p-value.<\/p>\n<p>B\u01b0\u1edbc 3: So s\u00e1nh gi\u00e1 tr\u1ecb p-value v\u1edbi ng\u01b0\u1ee1ng \u00fd ngh\u0129a: Ch\u00fang ta so s\u00e1nh gi\u00e1 tr\u1ecb p-value thu \u0111\u01b0\u1ee3c t\u1eeb ki\u1ec3m \u0111\u1ecbnh F v\u1edbi ng\u01b0\u1ee1ng \u00fd ngh\u0129a th\u1ed1ng k\u00ea (th\u01b0\u1eddng l\u00e0 0.05).<\/p>\n<p>B\u01b0\u1edbc 4: K\u1ebft lu\u1eadn:<\/p>\n<ul>\n<li>N\u1ebfu gi\u00e1 tr\u1ecb p-value nh\u1ecf h\u01a1n ng\u01b0\u1ee1ng \u00fd ngh\u0129a, v\u00ed d\u1ee5 p-value &lt; 0.05, ta b\u00e1c b\u1ecf gi\u1ea3 thuy\u1ebft kh\u00f4ng v\u00e0 k\u1ebft lu\u1eadn r\u1eb1ng c\u00f3 \u00edt nh\u1ea5t m\u1ed9t bi\u1ebfn \u0111\u1ed9c l\u1eadp (trong v\u00ed d\u1ee5 n\u00e0y l\u00e0 thu nh\u1eadp v\u00e0 s\u1ed1 n\u0103m kinh nghi\u1ec7m) \u1ea3nh h\u01b0\u1edfng tuy\u1ebfn t\u00ednh \u0111\u00e1ng k\u1ec3 \u0111\u1ebfn l\u1ee3i t\u1ee9c \u0111\u1ea7u t\u01b0.<\/li>\n<li>N\u1ebfu gi\u00e1 tr\u1ecb p-value l\u1edbn h\u01a1n ng\u01b0\u1ee1ng \u00fd ngh\u0129a, v\u00ed d\u1ee5 p-value &gt; 0.05, ta kh\u00f4ng c\u00f3 b\u1eb1ng ch\u1ee9ng \u0111\u1ec3 b\u00e1c b\u1ecf gi\u1ea3 thuy\u1ebft kh\u00f4ng v\u00e0 k\u1ebft lu\u1eadn r\u1eb1ng kh\u00f4ng c\u00f3 m\u1ed1i quan h\u1ec7 tuy\u1ebfn t\u00ednh \u0111\u00e1ng k\u1ec3 gi\u1eefa c\u00e1c bi\u1ebfn \u0111\u1ed9c l\u1eadp v\u00e0 l\u1ee3i t\u1ee9c \u0111\u1ea7u t\u01b0.<\/li>\n<\/ul>\n<p>L\u01b0u \u00fd r\u1eb1ng v\u00ed d\u1ee5 tr\u00ean ch\u1ec9 mang t\u00ednh ch\u1ea5t minh h\u1ecda. K\u1ebft qu\u1ea3 th\u1ef1c t\u1ebf c\u1ee7a ki\u1ec3m \u0111\u1ecbnh F to\u00e0n b\u1ed9 s\u1ebd ph\u1ee5 thu\u1ed9c v\u00e0o d\u1eef li\u1ec7u v\u00e0 m\u00f4 h\u00ecnh c\u1ee5 th\u1ec3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Vi_du_ve_Kiem_dinh_F_cho_tung_he_so_Individual_F-tests\"><\/span>V\u00ed d\u1ee5 v\u1ec1 Ki\u1ec3m \u0111\u1ecbnh F cho t\u1eebng h\u1ec7 s\u1ed1 (Individual F-tests)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"flex flex-grow flex-col gap-3\">\n<div class=\"min-h-[20px] flex flex-col items-start gap-4 whitespace-pre-wrap break-words\">\n<div class=\"markdown prose w-full break-words dark:prose-invert light\">\n<p>\u0110\u1ec3 minh h\u1ecda ki\u1ec3m \u0111\u1ecbnh F cho t\u1eebng h\u1ec7 s\u1ed1 (Individual F-tests), ch\u00fang ta s\u1ebd s\u1eed d\u1ee5ng v\u00ed d\u1ee5 v\u1ec1 m\u00f4 h\u00ecnh h\u1ed3i quy tuy\u1ebfn t\u00ednh v\u1edbi ba bi\u1ebfn \u0111\u1ed9c l\u1eadp: tu\u1ed5i, gi\u1edbi t\u00ednh v\u00e0 s\u1ed1 n\u0103m kinh nghi\u1ec7m \u0111\u1ec3 d\u1ef1 \u0111o\u00e1n m\u1ee9c l\u01b0\u01a1ng (bi\u1ebfn ph\u1ee5 thu\u1ed9c).<\/p>\n<p>B\u01b0\u1edbc 1: X\u00e2y d\u1ef1ng m\u00f4 h\u00ecnh h\u1ed3i quy tuy\u1ebfn t\u00ednh: Ch\u00fang ta s\u1eed d\u1ee5ng d\u1eef li\u1ec7u \u0111\u1ec3 x\u00e2y d\u1ef1ng m\u00f4 h\u00ecnh h\u1ed3i quy tuy\u1ebfn t\u00ednh v\u1edbi m\u1ee9c l\u01b0\u01a1ng l\u00e0 bi\u1ebfn ph\u1ee5 thu\u1ed9c v\u00e0 tu\u1ed5i, gi\u1edbi t\u00ednh v\u00e0 s\u1ed1 n\u0103m kinh nghi\u1ec7m l\u00e0 c\u00e1c bi\u1ebfn \u0111\u1ed9c l\u1eadp.<\/p>\n<p>B\u01b0\u1edbc 2: Th\u1ef1c hi\u1ec7n ki\u1ec3m \u0111\u1ecbnh F cho t\u1eebng h\u1ec7 s\u1ed1: Ch\u00fang ta s\u1ebd th\u1ef1c hi\u1ec7n ki\u1ec3m \u0111\u1ecbnh F ri\u00eang l\u1ebb cho t\u1eebng bi\u1ebfn \u0111\u1ed9c l\u1eadp \u0111\u1ec3 ki\u1ec3m tra xem bi\u1ebfn \u0111\u00f3 c\u00f3 \u1ea3nh h\u01b0\u1edfng tuy\u1ebfn t\u00ednh \u0111\u00e1ng k\u1ec3 \u0111\u1ebfn m\u1ee9c l\u01b0\u01a1ng hay kh\u00f4ng.<\/p>\n<ul>\n<li>Ki\u1ec3m \u0111\u1ecbnh F cho tu\u1ed5i (Age):\n<ul>\n<li>Gi\u1ea3 thuy\u1ebft kh\u00f4ng (null hypothesis): H\u1ec7 s\u1ed1 c\u1ee7a tu\u1ed5i kh\u00f4ng \u1ea3nh h\u01b0\u1edfng tuy\u1ebfn t\u00ednh \u0111\u00e1ng k\u1ec3 \u0111\u1ebfn m\u1ee9c l\u01b0\u01a1ng.<\/li>\n<li>Gi\u1ea3 thuy\u1ebft thay th\u1ebf (alternative hypothesis): H\u1ec7 s\u1ed1 c\u1ee7a tu\u1ed5i \u1ea3nh h\u01b0\u1edfng tuy\u1ebfn t\u00ednh \u0111\u00e1ng k\u1ec3 \u0111\u1ebfn m\u1ee9c l\u01b0\u01a1ng.<\/li>\n<li>Ch\u00fang ta t\u00ednh to\u00e1n gi\u00e1 tr\u1ecb F v\u00e0 gi\u00e1 tr\u1ecb p-value t\u1eeb ki\u1ec3m \u0111\u1ecbnh t c\u1ee7a h\u1ec7 s\u1ed1 tu\u1ed5i trong m\u00f4 h\u00ecnh h\u1ed3i quy.<\/li>\n<li>So s\u00e1nh gi\u00e1 tr\u1ecb p-value thu \u0111\u01b0\u1ee3c v\u1edbi ng\u01b0\u1ee1ng \u00fd ngh\u0129a th\u1ed1ng k\u00ea (th\u01b0\u1eddng l\u00e0 0.05).<\/li>\n<li>K\u1ebft lu\u1eadn: N\u1ebfu gi\u00e1 tr\u1ecb p-value nh\u1ecf h\u01a1n ng\u01b0\u1ee1ng \u00fd ngh\u0129a, ch\u1eb3ng h\u1ea1n p-value &lt; 0.05, ta b\u00e1c b\u1ecf gi\u1ea3 thuy\u1ebft kh\u00f4ng v\u00e0 k\u1ebft lu\u1eadn r\u1eb1ng tu\u1ed5i \u1ea3nh h\u01b0\u1edfng tuy\u1ebfn t\u00ednh \u0111\u00e1ng k\u1ec3 \u0111\u1ebfn m\u1ee9c l\u01b0\u01a1ng. Ng\u01b0\u1ee3c l\u1ea1i, n\u1ebfu gi\u00e1 tr\u1ecb p-value l\u1edbn h\u01a1n ng\u01b0\u1ee1ng \u00fd ngh\u0129a, ta kh\u00f4ng c\u00f3 b\u1eb1ng ch\u1ee9ng \u0111\u1ec3 b\u00e1c b\u1ecf gi\u1ea3 thuy\u1ebft kh\u00f4ng v\u00e0 k\u1ebft lu\u1eadn r\u1eb1ng tu\u1ed5i kh\u00f4ng \u1ea3nh h\u01b0\u1edfng tuy\u1ebfn t\u00ednh \u0111\u00e1ng k\u1ec3 \u0111\u1ebfn m\u1ee9c l\u01b0\u01a1ng.<\/li>\n<\/ul>\n<\/li>\n<li>T\u01b0\u01a1ng t\u1ef1, ch\u00fang ta th\u1ef1c hi\u1ec7n c\u00e1c b\u01b0\u1edbc tr\u00ean \u0111\u1ec3 ki\u1ec3m \u0111\u1ecbnh F cho h\u1ec7 s\u1ed1 c\u1ee7a bi\u1ebfn gi\u1edbi t\u00ednh v\u00e0 s\u1ed1 n\u0103m kinh nghi\u1ec7m.<\/li>\n<\/ul>\n<p>V\u00ed d\u1ee5: Gi\u1ea3 s\u1eed k\u1ebft qu\u1ea3 ki\u1ec3m \u0111\u1ecbnh F cho tu\u1ed5i (Age) cho th\u1ea5y gi\u00e1 tr\u1ecb p-value = 0.032 (&lt; 0.05), trong khi ki\u1ec3m \u0111\u1ecbnh F cho bi\u1ebfn gi\u1edbi t\u00ednh (Gender) cho th\u1ea5y gi\u00e1 tr\u1ecb p-value = 0.221 (&gt; 0.05), v\u00e0 ki\u1ec3m \u0111\u1ecbnh F cho s\u1ed1 n\u0103m kinh nghi\u1ec7m (Years of Experience) cho th\u1ea5y gi\u00e1 tr\u1ecb p-value = 0.014 (&lt; 0.05).<\/p>\n<div class=\"flex flex-grow flex-col gap-3\">\n<div class=\"min-h-[20px] flex flex-col items-start gap-4 whitespace-pre-wrap break-words\">\n<div class=\"markdown prose w-full break-words dark:prose-invert light\">\n<p>K\u1ebft lu\u1eadn:<\/p>\n<ul>\n<li>V\u1edbi ki\u1ec3m \u0111\u1ecbnh F cho tu\u1ed5i (Age), gi\u00e1 tr\u1ecb p-value nh\u1ecf h\u01a1n ng\u01b0\u1ee1ng \u00fd ngh\u0129a (0.05), cho th\u1ea5y tu\u1ed5i \u1ea3nh h\u01b0\u1edfng tuy\u1ebfn t\u00ednh \u0111\u00e1ng k\u1ec3 \u0111\u1ebfn m\u1ee9c l\u01b0\u01a1ng.<\/li>\n<li>Tuy nhi\u00ean, v\u1edbi ki\u1ec3m \u0111\u1ecbnh F cho bi\u1ebfn gi\u1edbi t\u00ednh (Gender), gi\u00e1 tr\u1ecb p-value l\u1edbn h\u01a1n ng\u01b0\u1ee1ng \u00fd ngh\u0129a (0.05), cho th\u1ea5y kh\u00f4ng c\u00f3 b\u1eb1ng ch\u1ee9ng \u0111\u1ec3 b\u00e1c b\u1ecf gi\u1ea3 thuy\u1ebft kh\u00f4ng, v\u00e0 k\u1ebft lu\u1eadn r\u1eb1ng gi\u1edbi t\u00ednh kh\u00f4ng \u1ea3nh h\u01b0\u1edfng tuy\u1ebfn t\u00ednh \u0111\u00e1ng k\u1ec3 \u0111\u1ebfn m\u1ee9c l\u01b0\u01a1ng.<\/li>\n<li>Cu\u1ed1i c\u00f9ng, v\u1edbi ki\u1ec3m \u0111\u1ecbnh F cho s\u1ed1 n\u0103m kinh nghi\u1ec7m (Years of Experience), gi\u00e1 tr\u1ecb p-value nh\u1ecf h\u01a1n ng\u01b0\u1ee1ng \u00fd ngh\u0129a (0.05), cho th\u1ea5y s\u1ed1 n\u0103m kinh nghi\u1ec7m \u1ea3nh h\u01b0\u1edfng tuy\u1ebfn t\u00ednh \u0111\u00e1ng k\u1ec3 \u0111\u1ebfn m\u1ee9c l\u01b0\u01a1ng.<\/li>\n<\/ul>\n<p>T\u1eeb k\u1ebft qu\u1ea3 tr\u00ean, ch\u00fang ta c\u00f3 th\u1ec3 k\u1ebft lu\u1eadn r\u1eb1ng trong m\u00f4 h\u00ecnh h\u1ed3i quy tuy\u1ebfn t\u00ednh n\u00e0y, tu\u1ed5i v\u00e0 s\u1ed1 n\u0103m kinh nghi\u1ec7m \u1ea3nh h\u01b0\u1edfng tuy\u1ebfn t\u00ednh \u0111\u00e1ng k\u1ec3 \u0111\u1ebfn m\u1ee9c l\u01b0\u01a1ng, trong khi gi\u1edbi t\u00ednh kh\u00f4ng c\u00f3 \u1ea3nh h\u01b0\u1edfng tuy\u1ebfn t\u00ednh \u0111\u00e1ng k\u1ec3.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Kh\u00e1i qu\u00e1t v\u1ec1 ki\u1ec3m \u0111\u1ecbnh F Ki\u1ec3m \u0111\u1ecbnh F, c\u00f2n \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 ki\u1ec3m \u0111\u1ecbnh ph\u00e2n t\u00edch ph\u01b0\u01a1ng sai (ANOVA) l\u00e0 m\u1ed9t ph\u01b0\u01a1ng ph\u00e1p th\u1ed1ng k\u00ea \u0111\u01b0\u1ee3c&#8230; <\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4,2],"tags":[],"class_list":["post-25025","post","type-post","status-publish","format-standard","hentry","category-kham-pha","category-khai-niem"],"_links":{"self":[{"href":"https:\/\/ungdung.hotronghiencuu.com\/open\/wp-json\/wp\/v2\/posts\/25025","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ungdung.hotronghiencuu.com\/open\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ungdung.hotronghiencuu.com\/open\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ungdung.hotronghiencuu.com\/open\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ungdung.hotronghiencuu.com\/open\/wp-json\/wp\/v2\/comments?post=25025"}],"version-history":[{"count":3,"href":"https:\/\/ungdung.hotronghiencuu.com\/open\/wp-json\/wp\/v2\/posts\/25025\/revisions"}],"predecessor-version":[{"id":25028,"href":"https:\/\/ungdung.hotronghiencuu.com\/open\/wp-json\/wp\/v2\/posts\/25025\/revisions\/25028"}],"wp:attachment":[{"href":"https:\/\/ungdung.hotronghiencuu.com\/open\/wp-json\/wp\/v2\/media?parent=25025"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ungdung.hotronghiencuu.com\/open\/wp-json\/wp\/v2\/categories?post=25025"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ungdung.hotronghiencuu.com\/open\/wp-json\/wp\/v2\/tags?post=25025"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}