{"id":6458,"date":"2017-08-21T08:18:00","date_gmt":"2017-08-21T00:18:00","guid":{"rendered":"\/\/m.letratesoro.com\/?p=6458"},"modified":"2020-02-20T22:36:11","modified_gmt":"2020-02-20T14:36:11","slug":"grr-k1-k2-k3","status":"publish","type":"post","link":"\/\/m.letratesoro.com\/2017\/08\/grr-k1-k2-k3\/","title":{"rendered":"Gage R&amp;R\u8a08\u7b97\u4e2d\u7684K1\u3001K2\u3001K3\u5982\u4f55\u53d6\u5f97\uff1f\u53c8\u4ee3\u8868\u8457\u4ec0\u9ebc\uff1f"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" title=\"Gage R&amp;R\u8a08\u7b97\u4e2d\u7684K1\u3001K2\u3001K3\u5982\u4f55\u53d6\u5f97\uff1f\u53c8\u4ee3\u8868\u8457\u4ec0\u9ebc\uff1f\" style=\"border-width: 0px; padding-top: 0px; padding-right: 0px; padding-left: 0px; display: inline; background-image: none;\" border=\"0\" alt=\"Gage R&amp;R\u8a08\u7b97\u4e2d\u7684K1\u3001K2\u3001K3\u5982\u4f55\u53d6\u5f97\uff1f\u53c8\u4ee3\u8868\u8457\u4ec0\u9ebc\uff1f\" src=\"\/\/m.letratesoro.com\/wp-content\/uploads\/d2_table.png\" width=\"590\" height=\"438\" \/><\/p>\n<p align=\"justify\"><font size=\"4\">\u5982\u679c\u4f60\u6709\u6a5f\u6703\u81ea\u5df1\u7814\u7a76\u3010<a href=\"\/?p=6451\" target=\"_blank\" rel=\"noopener noreferrer\">Gage R&amp;R<\/a>\u3011\u4e26\u4f7f\u7528\u4eba\u5bb6\u505a\u597d\u7684Excel\u8868\u683c\u8a08\u7b97\u6642\uff0c\u6703\u767c\u73fe\u5176\u516c\u5f0f\u88e1\u6709\u6240\u8b02\u7684K<sub>1<\/sub>\u3001K<sub>2<\/sub>\u3001K<sub>3<\/sub>\u53c3\u6578\uff0c\u5230\u5e95\u9019K<sub>1<\/sub>\u3001K<sub>2<\/sub>\u3001K<sub>3<\/sub><\/font><font size=\"4\">\u662f\u4ec0\u9ebc\uff1f\u53c8\u8a72\u5982\u4f55\u53d6\u5f97\u5462\uff1f<\/font><\/p>\n<p align=\"justify\"><font size=\"4\">\u4e8b\u60c5\u8aaa\u7834\u4e86\u5176\u5be6\u5c31\u4e0d\u503c\u9322\u4e86\uff0c\u57fa\u672c\u4e0aK<sub>1<\/sub>\u3001K<sub>2<\/sub>\u3001K<sub>3<\/sub>\u5c31\u662f\u7d71\u8a08\u4e2d\u5e38\u7528\u5230\u7684d<sub>2<\/sub>\u67e5\u8868\u503c\u7684\u5012\u6578\u7f77\u4e86\uff0c\u4e5f\u5c31\u662f K<sub>x<\/sub>=1\/d<sub>2<\/sub>\u3002<\/font><\/p>\n<p align=\"justify\"><font size=\"4\">\u56e0\u70ba\u5728\u3010Gage R&amp;R\u3011\u7684Excel\u8868\u683c\u4e2d\u70ba\u4e86\u8a08\u7b97\u65b9\u4fbf\uff0c\u4e5f\u70ba\u4e86\u8b93\u8a08\u7b97\u5f0f\u8f03\u5bb9\u6613\u8b93\u5927\u5bb6\u7406\u89e3\uff0c\u800c\u4e14d2\u503c\u4e5f\u6703\u56e0\u70ba\u91cf\u6e2c\u6642\u7684\u91cd\u8907\u8a66\u9a57\u6b21\u6578(Trial)\u3001\u8a55\u50f9\u4eba\u6578(Appraiser)\u8207\u96f6\u4ef6\u6578\u91cf(part)\u7684\u53c3\u6578\u4e0d\u540c\u800c\u51fa\u73fe\u4e0d\u540c\u7684\u6578\u503c\uff0c\u6240\u4ee5\u624d\u6703\u5c07\u4e0d\u540c\u7684d2\u503c\u7528K<sub>1<\/sub>\u3001K<sub>2<\/sub>\u3001K<sub>3<\/sub>\u4f86\u52a0\u4ee5\u8868\u793a\u3002<\/font><\/p>\n<p><!--more--><\/p>\n<p><font color=\"#0000ff\" size=\"5\"><strong>K<sub>1<\/sub>\u53d6\u6c7a\u65bc\u91cf\u6e2c\u7cfb\u7d71\u7814\u7a76\u4e2d\u91cd\u8907\u91cf\u6e2c\u7684\u6b21\u6578(Trail)<\/strong><\/font><\/p>\n<p><font size=\"4\">K<sub>1<\/sub>\u4f7f\u7528\u65bc\u300cGage R&amp;R\u300d\u8a2d\u5099\u7684\u8b8a\u7570\u6578\u8207\u91cd\u8907\u6027(Repeatability)\u8a08\u7b97\u3002<\/font><\/p>\n<p><font size=\"4\">EV = Rbarbar x K<sub>1<\/sub><\/font><\/p>\n<p><font size=\"4\"><font size=\"4\"><img loading=\"lazy\" decoding=\"async\" title=\"Repeability01\" style=\"border-width: 0px; padding-top: 0px; padding-right: 0px; padding-left: 0px; display: inline; background-image: none;\" border=\"0\" alt=\"Repeability01\" src=\"\/\/m.letratesoro.com\/wp-content\/uploads\/Repeability01.png\" width=\"192\" height=\"74\" \/><\/font><\/font><\/p>\n<p><font size=\"4\">K<sub>1<\/sub>\u53d6\u6c7a\u65bc\u91cf\u6e2c\u7cfb\u7d71\u7814\u7a76\u4e2d\u91cd\u8907\u91cf\u6e2c\u7684\u6b21\u6578(Trial)\uff0c\u7b49\u65bcd<sub>2<\/sub>\u7684\u5012\u6578\u3002<\/font><\/p>\n<p align=\"justify\"><font size=\"4\">d<sub>2<\/sub>\u53ef\u4ee5\u5f9e\u4e0a\u8868\u4e2d\u67e5\u8868\u5f97\u5230\u3002d<sub>2<\/sub>\u53d6\u6c7a\u65bc\u3010\u8a66\u9a57\u7684\u6b21\u6578(n)\u3011\u548c\u3010\u96f6\u4ef6\u7684\u6578\u91cf\u4e58\u4ee5\u8a55\u50f9\u4eba\u6578(k)\u3011\uff0c\u5728Excel\u8868\u683c\u4e2d\uff0c\u6211\u5011\u90fd\u662f\u5047\u8a2dK<sub>1<\/sub>\u503c\u7684k\u5927\u65bc15\uff0c\u56e0\u70ba\uff0c\u5982\u679ck\u503c\u5c0f\u65bc15\uff0cK<sub>1<\/sub>\u503c\u5c31\u4e0d\u662f\u5e38\u6578\u4e86\u3002\u6240\u4ee5\u5728GR&amp;R\u7684Excel\u8868\u683c\u4e2d\u901a\u5e38\u6703\u5b89\u639210\u500b\u96f6\u4ef6\u4e26\u91cd\u8907\u91cf\u6e2c\u4e09\u6b21\uff0ck=10&#215;3=30\uff0c\u9019\u6a23k\u5c31\u53ef\u4ee5\u4fdd\u8b49\u5927\u65bc15\u3002<\/font><\/p>\n<ul>\n<li><font size=\"4\">\u7576n=2\uff0ck&gt;15\u6642\uff0cK<sub>1 <\/sub>= 1\/ d<sub>2 <\/sub>= 1\/1.128 = 0.8865<\/font> <\/li>\n<li><font size=\"4\">\u7576n=3\uff0ck&gt;15\u6642\uff0cK<sub>1 <\/sub>= 1\/ d<sub>2 <\/sub>= 1\/1.693 = 0.5906<\/font> \uff08<font size=\"4\"><a href=\"\/2016\/05\/control-charts-factors\/\" target=\"_blank\" rel=\"noopener noreferrer\">d<sub>2<\/sub>\u53caC<sub>4<\/sub>\u67e5\u8868<\/a><\/font>\uff09<\/li>\n<\/ul>\n<p><font color=\"#0000ff\" size=\"5\"><strong>K<sub>2<\/sub>\u53d6\u6c7a\u65bc\u91cf\u6e2c\u7cfb\u7d71\u7814\u7a76\u4e2d\u8a55\u50f9\u4eba(Appraiser)\u7684\u6578\u91cf<\/strong><\/font><\/p>\n<p><font size=\"4\">K<sub>2<\/sub>\u4f7f\u7528\u65bcGage R&amp;R\u7684\u8a55\u50f9\u4eba\u7684\u8b8a\u7570\u6578\u8207\u91cd\u73fe\u6027(Reproducibility)\u8a08\u7b97\u3002<\/font><\/p>\n<p>AV = SQRT{(Xbar diff x K<sub>2<\/sub>)<sup>2 <\/sup>\u2013 EV\/[(#parts)x(#trials)]}<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" title=\"Reproducibility01\" style=\"border-width: 0px; padding-top: 0px; padding-right: 0px; padding-left: 0px; display: inline; background-image: none;\" border=\"0\" alt=\"Reproducibility01\" src=\"\/\/m.letratesoro.com\/wp-content\/uploads\/Reproducibility01.png\" width=\"258\" height=\"96\" \/><\/p>\n<p><font size=\"4\">K<sub>2<\/sub>\u53d6\u6c7a\u65bc\u91cf\u6e2c\u7cfb\u7d71\u7814\u7a76\u4e2d\u8a55\u50f9\u4eba(Appraiser)\u7684\u6578\u91cf\uff0c\u7b49\u65bcd<sub>2<\/sub>\u7684\u5012\u6578\u3002<\/font><\/p>\n<p align=\"justify\"><font size=\"4\">d<sub>2<\/sub>\u53ef\u4ee5\u5f9e\u4e0a\u8868\u4e2d\u67e5\u8868\u5f97\u5230\u3002\u4e0d\u904e\u9019\u88e1\u7684d<sub>2<\/sub>\u53d6\u6c7a\u65bc\u8a55\u50f9\u4eba\u7684\u6578\u91cf(n)\uff0c\u800c\u4e14k\u7e3d\u662f\u70ba1\uff08k=1\uff09\uff0c\u56e0\u70ba\u53ea\u8a08\u7b97\u4e00\u500b\u6975\u5dee\u3002<\/font><\/p>\n<ul>\n<li><font size=\"4\">\u7576n=2\uff0ck=1\u6642\uff0cK<sub>2 <\/sub>= 1\/ d<sub>2 <\/sub>= 1\/1.414 = 0.7072<\/font> <\/li>\n<li><font size=\"4\">\u7576n=3\uff0ck=1\u6642\uff0cK<sub>2 <\/sub>= 1\/ d<sub>2 <\/sub>= 1\/1.912 = 0.5230<\/font> <\/li>\n<li><font size=\"4\">\u7576n=4\uff0ck=1\u6642\uff0cK<sub>2 <\/sub>= 1\/ d<sub>2 <\/sub>= 1\/2.239 = 0.4466<\/font> <font size=\"4\"><\/font>\uff08<font size=\"4\"><a href=\"\/2016\/05\/control-charts-factors\/\" target=\"_blank\" rel=\"noopener noreferrer\">d<sub>2<\/sub>\u53caC<sub>4<\/sub>\u67e5\u8868<\/a><\/font>\uff09<\/li>\n<\/ul>\n<p><font color=\"#0000ff\" size=\"5\"><strong>K<sub>3<\/sub>\u53d6\u6c7a\u65bc\u91cf\u6e2c\u7cfb\u7d71\u7814\u7a76\u4e2d\u96f6\u4ef6(Part)\u7684\u6578\u91cf<\/strong><\/font><\/p>\n<p><font size=\"4\">K<sub>3<\/sub>\u4f7f\u7528\u65bcGage R&amp;R\u96f6\u4ef6\u8b8a\u7570\u6578(Part Variation)\u7684\u8a08\u7b97\u3002<\/font><\/p>\n<p><font size=\"4\">PV (Part Variation) = R<sub>p<\/sub> x K<sub>3<\/sub>\uff0cR<sub>p<\/sub>\u70ba\u96f6\u4ef6\u5e73\u5747\u503c\u5f97\u5168\u8ddd<\/font><\/p>\n<p><font size=\"4\">K<sub>3<\/sub>\u53d6\u6c7a\u65bc\u91cf\u6e2c\u7cfb\u7d71\u7814\u7a76\u4e2d\u96f6\u4ef6(Part)\u7684\u6578\u91cf\uff0c\u7b49\u65bcd<sub>2<\/sub>\u7684\u5012\u6578\u3002<\/font><\/p>\n<p align=\"justify\"><font size=\"4\">d<sub>2<\/sub>\u53ef\u4ee5\u5f9e\u4e0a\u8868\u4e2d\u67e5\u8868\u5f97\u5230\u3002\u4e0d\u904e\u9019\u88e1\u7684d<sub>2<\/sub>\u5247\u662f\u53d6\u6c7a\u65bc\u96f6\u4ef6(Part)\u7684\u6578\u91cf(n)\uff0c\u800c\u4e14k\u7e3d\u662f\u70ba1\uff08k=1\uff09\uff0c\u56e0\u70ba\u53ea\u8a08\u7b97\u4e00\u500b\u6975\u5dee\u3002<\/font><\/p>\n<ul>\n<li><font size=\"4\">\u7576n=2\uff0ck=1\u6642\uff0cK<sub>3<\/sub>=1\/ d<sub>2<\/sub>=1\/1.414 = 0.7072<\/font> <\/li>\n<li><font size=\"4\">\u7576n=3\uff0ck=1\u6642\uff0cK<sub>3<\/sub>=1\/ d<sub>2<\/sub>=1\/1.912 = 0.5230<\/font> <\/li>\n<li><font size=\"4\">\u7576n=4\uff0ck=1\u6642\uff0cK<sub>3<\/sub>=1\/ d<sub>2<\/sub>=1\/2.239 = 0.4466<\/font> <\/li>\n<li><font size=\"4\">\u7576n=5\uff0ck=1\u6642\uff0cK<sub>3<\/sub>=1\/ d<sub>2<\/sub>=1\/2.481 = 0.4030<\/font> <\/li>\n<li><font size=\"4\">\u7576n=6\uff0ck=1\u6642\uff0cK<sub>3<\/sub>=1\/ d<sub>2<\/sub>=1\/2.673 = 0.3741<\/font> <\/li>\n<li><font size=\"4\">\u7576n=7\uff0ck=1\u6642\uff0cK<sub>3<\/sub>=1\/ d<sub>2<\/sub>=1\/2.830 = 3.5335<\/font> <\/li>\n<li><font size=\"4\">\u7576n=8\uff0ck=1\u6642\uff0cK<sub>3<\/sub>=1\/ d<sub>2<\/sub>=1\/2.963 = 0.3374<\/font> <\/li>\n<li><font size=\"4\">\u7576n=9\uff0ck=1\u6642\uff0cK<sub>3<\/sub>=1\/ d<sub>2<\/sub>=1\/3.078 = 0.3248<\/font> <\/li>\n<li><font size=\"4\">\u7576n=10\uff0ck=1\u6642\uff0cK<sub>3<\/sub>=1\/ d<sub>2<\/sub>=1\/3.179 = 0.3145<\/font> <\/li>\n<\/ul>\n<hr \/>\n<p><font size=\"4\">\u56de\u300b<\/font><a href=\"\/2016\/01\/spccpk\/\"><font size=\"4\">SPC\u3001Cpk\u3001\u88fd\u7a0b\u80fd\u529b\u4e4b\u89e3\u8aaa\u8207\u6574\u7406<\/font><\/a><\/p>\n<p><font size=\"4\">\u5ef6\u4f38\u95b1\u8b80\uff1a <\/font>    <br \/><a href=\"\/2010\/10\/spc-introduction-ck-cp-cpk\/\"><font size=\"4\">\u88fd\u7a0b\u80fd\u529b\u4ecb\u7d39\u2500\u88fd\u7a0b\u80fd\u529b\u7684\u4e09\u7a2e\u8868\u793a\u6cd5<\/font><\/a>     <br \/><a href=\"\/2016\/04\/control-chart\/\"><font size=\"4\">\u54c1\u7ba1\u4e03\u5927\u5de5\u5177-\u7ba1\u5236\u5716(control chart)\u4ecb\u7d39<\/font><\/a>     <br \/><a href=\"\/2016\/05\/control-charts-factors\/\"><font size=\"4\">\u7ba1\u5236\u5716\u7ba1\u5236\u754c\u9650\u8207\u4e2d\u5fc3\u7dda\u8a08\u7b97\u56e0\u5b50\u7cfb\u6578\u67e5\u8868(d2,A1,A2,B1-B4,C2,C4,D1-D4)<\/font><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5982\u679c\u4f60\u6709\u6a5f\u6703\u81ea\u5df1\u7814\u7a76\u3010Gage R&amp;R\u3011 &#8230;<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[22,116],"tags":[184],"aioseo_notices":[],"views":22360,"_links":{"self":[{"href":"\/\/m.letratesoro.com\/wp-json\/wp\/v2\/posts\/6458"}],"collection":[{"href":"\/\/m.letratesoro.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"\/\/m.letratesoro.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"\/\/m.letratesoro.com\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"\/\/m.letratesoro.com\/wp-json\/wp\/v2\/comments?post=6458"}],"version-history":[{"count":1,"href":"\/\/m.letratesoro.com\/wp-json\/wp\/v2\/posts\/6458\/revisions"}],"predecessor-version":[{"id":8838,"href":"\/\/m.letratesoro.com\/wp-json\/wp\/v2\/posts\/6458\/revisions\/8838"}],"wp:attachment":[{"href":"\/\/m.letratesoro.com\/wp-json\/wp\/v2\/media?parent=6458"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"\/\/m.letratesoro.com\/wp-json\/wp\/v2\/categories?post=6458"},{"taxonomy":"post_tag","embeddable":true,"href":"\/\/m.letratesoro.com\/wp-json\/wp\/v2\/tags?post=6458"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}