{"id":802,"date":"2024-03-22T12:52:35","date_gmt":"2024-03-22T03:52:35","guid":{"rendered":"https:\/\/y-page.y.kumamoto-nct.ac.jp\/wp\/Math_23\/?p=802"},"modified":"2024-06-03T09:15:53","modified_gmt":"2024-06-03T00:15:53","slug":"top-math2-1q-2h-2","status":"publish","type":"post","link":"https:\/\/y-page.y.kumamoto-nct.ac.jp\/wp\/Math_23\/?p=802","title":{"rendered":"\u6570\u5b66II_1Q2H_2"},"content":{"rendered":"\n\n\n\n\n
\u00a0<\/span><\/td>\n\u00a0<\/span><\/td>\n\u00a0<\/span><\/td>\n\u00a0<\/span><\/td>\nBack<\/span><\/a><\/td>\n<\/tr>\n
\u00a0<\/span><\/td>\n\u00a0<\/span><\/td>\n\u00a0<\/span><\/td>\n\u00a0<\/span><\/td>\n\u518d\u751f\u30ea\u30b9\u30c8<\/span><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n\n\n\n
\u30c6\u30ad\u30b9\u30c8<\/span><\/td>\n\u6f14\u7fd2<\/span><\/td>\n\u6f14\u7fd2\u89e3\u7b54<\/span><\/td>\n\u8ab2\u984c<\/span><\/td>\n\u89e3\u8aac<\/span><\/td>\n<\/tr>\n
1Q2H_4<\/span><\/a><\/td>\n1Q2H_E4<\/span><\/a><\/td>\n1Q2H_ES4<\/span><\/a><\/td>\n1Q2H_K4<\/span><\/a><\/td>\n1Q2H_V4<\/span><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n
<\/span> \u5171\u5206\u6563 \u03c3 $_x$$ _y=?$\u3000\u76f8\u95a2\u4fc2\u6570 $r=?$\u3000\u56de\u5e30\u76f4\u7dda $y=?$ <\/div>
\u5171\u5206\u6563\u3000$\\sigma_{xy}=E(xy)-E(x)E(y)$\u3000(\u516c\u5f0f)
\u76f8\u95a2\u4fc2\u6570 $r=\\dfrac{\\sigma_{xy}}{\\sqrt{\\sigma_x^2}\\sqrt{\\sigma_y^2}}$
\u56de\u5e30\u76f4\u7dda $y=\\dfrac{\\sigma_{xy}}{\\sigma_x^2}(x-\\mu_x)+\\mu_y$<\/div><\/div>
<\/span>Targets<\/div>
1. 2\u6b21\u5143\u30c7\u30fc\u30bf$x, y$\u306b\u3064\u3044\u3066\u3001\u5e73\u5747$\\mu_x, \\mu_y$\u3001(\u5171)\u5206\u6563$\\sigma_x^2, \\sigma_y^2, \\sigma_{xy}$
\u3000\u304a\u3088\u3073\u76f8\u95a2\u4fc2\u6570$r$\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308b
2. \u56de\u5e30\u76f4\u7dda\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308b
3. \u6563\u5e03\u56f3\u3092\u4f5c\u6210\u3057\u56de\u5e30\u76f4\u7dda\u3092\u66f8\u304d\u8fbc\u3080\u3053\u3068\u304c\u3067\u304d\u308b<\/div><\/div> <\/div>\n\n\n\n\n\n
1Q2H_5<\/span><\/a><\/td>\n1Q2H_E5<\/span><\/a><\/td>\n1Q2H_ES5<\/span><\/a><\/td>\n1Q2H_K5<\/span><\/a><\/td>\n1Q2H_V5<\/span><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n
<\/span> (\u72ec\u7acb\u6027\u306e\u4eee\u8aac\u691c\u5b9a)\u7d71\u8a08\u91cf $T=?$ (\u7c21\u6613\u516c\u5f0f)<\/div>
\n\n\n\n\n\n
\u00a0<\/td>\n$P_1$<\/td>\n$P_2$<\/td>\n<\/tr>\n
$A$<\/td>\n$a$<\/td>\n$b$<\/td>\n<\/tr>\n
$B$<\/td>\n$c$<\/td>\n$d$<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u3053\u306e\u6642\u3001$T=\\dfrac{(ad-bc)^2(a+b+c+d)}{(a+b)(c+d)(a+c)(b+d)}$
$T\\geq \\chi_1^2(0.05) \\fallingdotseq 3.84 \\rightarrow H_0=$($P$\u306b\u95a2\u3057\u3066$A$\u3068$B$\u3067\u306f\u5dee\u304c\u306a\u3044)\u00a0\u68c4\u5374<\/span><\/p>\n

$T\\leq \\chi_1^2(0.05) \\fallingdotseq 3.84 \\rightarrow H_0=$($P$\u306b\u95a2\u3057\u3066$A$\u3068$B$\u3067\u306f\u5dee\u304c\u306a\u3044)\u53d7\u5bb9<\/span><\/p>\n

\u00a0<\/div><\/div>

<\/span>Targets<\/div>
1. 2\u00d72\u30af\u30ed\u30b9\u96c6\u8a08\u8868\u306e\u4f8b\u3092\u4f5c\u308a\u3001\u5e30\u7121\u4eee\u8aac$H_0$\u3068\u5bfe\u7acb\u4eee\u8aac$H_1$\u3092\u8a2d\u5b9a\u3067\u304d\u308b
2. 1\u3067\u8a2d\u5b9a\u3057\u305f\u4eee\u8aac\u3092\u691c\u5b9a\u3059\u308b\u70ba\u306e(\u72ec\u7acb\u6027\u306e\u4eee\u8aac\u691c\u5b9a)\u7d71\u8a08\u91cfT\u304c\u8a08\u7b97\u3067\u304d\u308b
3. 1\u3067\u8a2d\u5b9a\u3057\u305f\u4eee\u8aac\u3092\u6709\u610f\u6c34\u6e965%\u3067\u691c\u5b9a\u3067\u304d\u308b<\/div><\/div> <\/div>\n\n\n\n\n\n
1Q2H_6<\/span><\/a><\/td>\n1Q2H_E6<\/span><\/a><\/td>\n1Q2H_ES6<\/span><\/a><\/td>\n1Q2H_K6<\/span><\/a><\/td>\n1Q2H_V6<\/span><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n
<\/span> \uff12\u6b21\u306e\u884c\u5217\u5f0f$=?$\u3001\u30af\u30e9\u30e1\u30eb\u306e\u516c\u5f0f?\u3001\u591a\u91cd\u7dda\u5f62\u30e2\u30c7\u30eb $z=?$<\/div>
\u884c\u5217\u5f0f\u306e\u5b9a\u7fa9<\/span> $\\Delta=\\begin{vmatrix} a &b \\\\c&d\\end{vmatrix}=ad-bc$
\u30af\u30e9\u30e1\u30eb\u306e\u516c\u5f0f<\/span>\u3000 $ \\begin{cases}ax+by = p \\\\cx+dy = q\\end{cases} \\rightarrow x=\\dfrac{\\begin{vmatrix} p &b \\\\q &d\\end{vmatrix}}{\\Delta}, y=\\dfrac{\\begin{vmatrix} a &p \\\\c &q\\end{vmatrix}}{\\Delta}$
$\\mu_x, \\ldots$ \u5e73\u5747\u3001$\\sigma_{xy}, \\ldots$ \u5171\u5206\u6563 \u3068\u3059\u308b\u3068\u304d
\u591a\u91cd\u7dda\u5f62\u30e2\u30c7\u30eb<\/span> $z=ax+by+c$ \u306e\u4fc2\u6570\u306f
$a=\\dfrac{\\Delta_a}{\\Delta}, b=\\dfrac{\\Delta_b}{\\Delta}, c=\\mu_z-a\\mu_x-b\\mu_y$
\u305f\u3060\u3057 $\\Delta=\\begin{vmatrix} \\sigma_x^2 &\\sigma_{xy} \\\\\\sigma_{xy}&\\sigma_y^2 \\end{vmatrix}, \\Delta_a=\\begin{vmatrix} \\sigma_{xz} &\\sigma_{xy} \\\\\\sigma_{yz}&\\sigma_y^2 \\end{vmatrix}, \\Delta_b=\\begin{vmatrix} \\sigma_x^2 &\\sigma_{xz} \\\\\\sigma_{xy}&\\sigma_{yz} \\end{vmatrix}$<\/div><\/div>
<\/span>Targets<\/div>
1. \uff12\u6b21\u306e\u884c\u5217\u5f0f\u304c\u8a08\u7b97\u3067\u304d\u308b
2. \u30af\u30e9\u30e1\u30eb\u306e\u516c\u5f0f\u3092\u7528\u3044\u3066\u9023\u7acb\u65b9\u7a0b\u5f0f\u304c\u89e3\u3051\u308b
3. 3\u6b21\u5143\u30c7\u30fc\u30bf$x,y,z$\u306b\u5bfe\u3059\u308b\u7dda\u5f62\u30e2\u30c7\u30eb$z=ax+by+c$\u306e\u4fc2\u6570\u3092
\u3000\u6c42\u3081\u308b\u516c\u5f0f\u304c\u66f8\u3051\u308b <\/div><\/div> <\/div>","protected":false},"excerpt":{"rendered":"

\u00a0 \u00a0 \u00a0 \u00a0 Back \u00a0 \u00a0 \u00a0 \u00a0 \u518d\u751f\u30ea\u30b9\u30c8 \u30c6\u30ad\u30b9\u30c8 \u6f14\u7fd2 \u6f14\u7fd2\u89e3\u7b54 \u8ab2\u984c \u89e3\u8aac 1Q2H_4 1Q2H_E4 1Q2H_ES4 1Q2H_K4 1Q2H_V4 1Q2H_5 1Q2H_E5 1Q2H_ES5 […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[42,41,40,14,4,7],"tags":[],"class_list":["post-802","post","type-post","status-publish","format-standard","hentry","category-si","category-math2-1q2h-2","category-math2-1q2h","category-top","category-math2","category-math2-1q"],"_links":{"self":[{"href":"https:\/\/y-page.y.kumamoto-nct.ac.jp\/wp\/Math_23\/index.php?rest_route=\/wp\/v2\/posts\/802","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/y-page.y.kumamoto-nct.ac.jp\/wp\/Math_23\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/y-page.y.kumamoto-nct.ac.jp\/wp\/Math_23\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/y-page.y.kumamoto-nct.ac.jp\/wp\/Math_23\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/y-page.y.kumamoto-nct.ac.jp\/wp\/Math_23\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=802"}],"version-history":[{"count":77,"href":"https:\/\/y-page.y.kumamoto-nct.ac.jp\/wp\/Math_23\/index.php?rest_route=\/wp\/v2\/posts\/802\/revisions"}],"predecessor-version":[{"id":1876,"href":"https:\/\/y-page.y.kumamoto-nct.ac.jp\/wp\/Math_23\/index.php?rest_route=\/wp\/v2\/posts\/802\/revisions\/1876"}],"wp:attachment":[{"href":"https:\/\/y-page.y.kumamoto-nct.ac.jp\/wp\/Math_23\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=802"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/y-page.y.kumamoto-nct.ac.jp\/wp\/Math_23\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=802"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/y-page.y.kumamoto-nct.ac.jp\/wp\/Math_23\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=802"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}