\u7570\u306a\u308b\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03\u304b\u3089\u5f97\u3089\u308c\u305f2\u3064\u306e\u6a19\u672c\u5e73\u5747\u306b, \u7d71\u8a08\u7684\u306b\u5dee\u304c\u3042\u308b\u3068\u8a00\u3048\u308b\u304b\u3069\u3046\u304b. <\/p>\n
\u5224\u65ad\u57fa\u6e96\u3092\u300c\u305d\u308c\u305e\u308c\u306e\u6a19\u672c\u5e73\u5747\u306e\u6a19\u6e96\u504f\u5dee \\(\\sigma\\) \u3092\u6c42\u3081, \u305d\u308c\u305e\u308c\u306e\u6a19\u672c\u5e73\u5747\u304b\u3089 \\(\\pm\\alpha\\sigma\\,~(\\alpha > 0)\\) \u306e\u7bc4\u56f2\u3092\u3068\u3063\u305f\u6642, \u4e92\u3044\u306e\u7bc4\u56f2\u304c\u91cd\u306a\u308b\u304b\u3069\u3046\u304b\u300d\u3068\u3057\u305f\u6642, \u3061\u3087\u3046\u3069\u5224\u65ad\u304c\u3067\u304d\u308b\u6642\u70b9\u3092\u8003\u3048\u308b.<\/p>\n
<\/p>\n
\u76ee\u7684<\/p>\n
\\[
\n\\left|\\mu_{1}-\\mu_{2}\\right| = \\alpha\\sqrt{\\frac{\\mu_{1}(1-\\mu_{1})}{n}} + \\alpha\\sqrt{\\frac{\\mu_{2}(1-\\mu_{2})}{m}} \\tag{1}
\n\\]<\/p>\n
\u4e0a\u5f0f\u3092 \\(\\mu_{2}\\) \u306b\u3064\u3044\u3066\u89e3\u304f.<\/p>\n
\u524d\u63d0<\/p>\n
\u5f0f(1)\u306e\u6027\u8cea\u3092\u8abf\u3079\u305f\u3044. \u3053\u3053\u3067\u306f, \u4e92\u3044\u306e\u7bc4\u56f2\u304c\u3061\u3087\u3046\u3069\u91cd\u306a\u308b\u5834\u5408\u306e, \u305d\u308c\u305e\u308c\u306e\u6a19\u672c\u5e73\u5747\u306e\u5024\u306e\u95a2\u4fc2\u3092\u8abf\u3079\u308b.<\/p>\n
\u305d\u308c\u305e\u308c\u306e\u6a19\u672c\u30b5\u30a4\u30ba\u3092 \\(n,~ m\\), \u6a19\u672c\u5e73\u5747\u3092 \\(\\mu_{1},~ \\mu_{2}\\) \u3068\u304a\u304f\u3068, \u6a19\u6e96\u504f\u5dee\u306f \\(\\sqrt{\\frac{\\mu_{1}(1-\\mu_{1})}{n}},~ \\sqrt{\\frac{\\mu_{2}(1-\\mu_{2})}{m}}\\) \u3068\u66f8\u3051\u308b.<\/p>\n
\u4e92\u3044\u306e\u7bc4\u56f2\u306e\u7aef\u304c\u3061\u3087\u3046\u3069\u4e00\u81f4\u3059\u308b\u5834\u5408, (1)\u5f0f\u304c\u6210\u308a\u7acb\u3064.<\/p>\n
\u30fb \\(\\mu_{1} > \\mu_{2}\\) \u306e\u5834\u5408<\/p>\n
\\[
\n\\begin{eqnarray}
\n\\mu_{1}-\\mu_{2} & = & \\alpha\\sqrt{\\frac{\\mu_{1}(1-\\mu_{1})}{n}} + \\alpha\\sqrt{\\frac{\\mu_{2}(1-\\mu_{2})}{m}} \\\\
\n-\\mu_{2} + \\left(\\mu_{1} – \\alpha\\sqrt{\\frac{\\mu_{1}(1-\\mu_{1})}{n}}\\right) & = & \\alpha\\sqrt{\\frac{\\mu_{2}(1-\\mu_{2})}{m}}
\n\\end{eqnarray}
\n\\]<\/p>\n
\u4e21\u8fba\u30922\u4e57\u3057\u3066\u6574\u7406\u3059\u308b.<\/p>\n
\\[
\n\\left(-\\mu_{2}\\right)^{2} – 2\\mu_{2}\\left( \\mu_{1} – \\alpha\\sqrt{\\frac{\\mu_{1}(1-\\mu_{1})}{n}} \\right) + \\left( \\mu_{1} – \\alpha\\sqrt{\\frac{\\mu_{1}(1-\\mu_{1})}{n}} \\right)^{2} = \\alpha^{2}\\frac{\\mu_{2}(1-\\mu_{2})}{m}
\n\\]<\/p>\n
\\[
\n\\left( 1+\\frac{\\alpha^{2}}{m} \\right)\\mu_{2}^{2} – \\left\\{ 2\\left( \\mu_{1} – \\alpha\\sqrt{\\frac{\\mu_{1}(1-\\mu_{1})}{n}} \\right) + \\frac{\\alpha^{2}}{m} \\right\\} \\mu_{2} + \\left( \\mu_{1} – \\alpha\\sqrt{\\frac{\\mu_{1}(1-\\mu_{1})}{n}} \\right)^{2} = 0
\n\\]<\/p>\n
\\( \\mu_{2} \\) \u306b\u3064\u3044\u3066\u306e2\u6b21\u65b9\u7a0b\u5f0f\u304c\u5f97\u3089\u308c\u305f\u306e\u3067, \u3042\u3068\u306f\u4e0a\u5f0f\u3092\u89e3\u3051\u3070\u3088\u3044.<\/p>\n
\u30fb \\(\\mu_{1} < \\mu_{2}\\) \u306e\u5834\u5408<\/p>\n
\\[
\n\\mu_{2}-\\mu_{1} = \\alpha\\sqrt{\\frac{\\mu_{1}(1-\\mu_{1})}{n}} + \\alpha\\sqrt{\\frac{\\mu_{2}(1-\\mu_{2})}{m}}
\n\\]<\/p>\n
\u540c\u69d8\u306b\u3057\u3066\u8a08\u7b97\u3059\u308b\u3068,<\/p>\n
\\[
\n\\left( 1+\\frac{\\alpha^{2}}{m} \\right)\\mu_{2}^{2} – \\left\\{ 2\\left( \\mu_{1} + \\alpha\\sqrt{\\frac{\\mu_{1}(1-\\mu_{1})}{n}} \\right) + \\frac{\\alpha^{2}}{m} \\right\\} \\mu_{2} + \\left( \\mu_{1} + \\alpha\\sqrt{\\frac{\\mu_{1}(1-\\mu_{1})}{n}} \\right)^{2} = 0
\n\\]<\/p>\n
\u3092\u5f97\u308b.<\/p>\n","protected":false},"excerpt":{"rendered":"
\u7570\u306a\u308b\u30d9\u30eb\u30cc\u30fc\u30a4\u5206\u5e03\u304b\u3089\u5f97\u3089\u308c\u305f2\u3064\u306e\u6a19\u672c\u5e73\u5747\u306b, \u7d71\u8a08\u7684\u306b\u5dee\u304c\u3042\u308b\u3068\u8a00\u3048\u308b\u304b\u3069\u3046\u304b. \u5224\u65ad\u57fa\u6e96\u3092\u300c\u305d\u308c\u305e\u308c\u306e\u6a19\u672c\u5e73\u5747\u306e\u6a19\u6e96\u504f\u5dee \\(\\sigma\\) \u3092\u6c42\u3081, \u305d\u308c\u305e\u308c\u306e\u6a19\u672c\u5e73\u5747\u304b\u3089 \\(\\pm\\alpha\\sigma […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[4],"tags":[],"_links":{"self":[{"href":"https:\/\/naru.jpn.com\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/153"}],"collection":[{"href":"https:\/\/naru.jpn.com\/wordpress\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/naru.jpn.com\/wordpress\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/naru.jpn.com\/wordpress\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/naru.jpn.com\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=153"}],"version-history":[{"count":57,"href":"https:\/\/naru.jpn.com\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/153\/revisions"}],"predecessor-version":[{"id":472,"href":"https:\/\/naru.jpn.com\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/153\/revisions\/472"}],"wp:attachment":[{"href":"https:\/\/naru.jpn.com\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=153"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/naru.jpn.com\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=153"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/naru.jpn.com\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=153"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}