資料 5 品質管理分野テキスト
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1 資料 5 品質管理分野テキスト
2 資料 5: 品質管理分野テキスト () 04/0/05 9
3 調査研究報告書 No6 04/0/05 Shinji Yokogawa 0 65 Full 65 percent of toda s grade-school kids ma end up doing work that hasn t been invented et Cath N Davidson, New York Times, Aug 7, 0 Shinji Yokogawa Jan 0, 0 4 9
4 資料 5: 品質管理分野テキスト ) ) ) (ICT) 4),, 0 Shinji Yokogawa Jan 0, 0 5 SQC SCAN report; 6 Shinji Yokogawa Jan 0, 0 9
5 調査研究報告書 No6 PDCA Action Plan Do Shinji Yokogawa Jan 0, 0 Check DMAICDefine, Measure, Analze, Improve, Control 7 Shinji Yokogawa Jan 0, 0 Census At School in New Zealand (008) Data detective Poster / 8 94
6 資料 5: 品質管理分野テキスト 998, 999 IIB , 009 Shinji Yokogawa Jan 0, 0 9 (007) Shinji Yokogawa Jan 0, 0 0,,
7 調査研究報告書 No6 PPDAC Problem Plan Data Analsis Conclusion Shinji Yokogawa Jan 0, 0 QC Shinji Yokogawa Jan 0, 0 96
8 資料 5: 品質管理分野テキスト QC A Mon Tue Wed Thu Fri Sat Sat B C % 50% Shinji Yokogawa Jan 0, 0 D 0 A B C D E F 0% QC LCL X UCL Shinji Yokogawa Jan 0, 0 Y XA XA 4 97
9 調査研究報告書 No6 QC Shinji Yokogawa Jan 0, 0 5 QC 00 Date Action 00% Shinji Yokogawa Jan 0, % 0 A B C D E F A B C D E F 0% 6 98
10 資料 5: 品質管理分野テキスト QC UCL X Shinji Yokogawa Jan 0, 0 LCL Lot 7 QC Shinji Yokogawa Jan 0,
11 調査研究報告書 No6 Shinji Yokogawa Jan 0, 0 9 QC Shinji Yokogawa 04/0/
12 資料 5: 品質管理分野テキスト Shinji Yokogawa 04/0/05 StatisticsState Shinji Yokogawa 04/0/05 0
13 調査研究報告書 No6 Shinji Yokogawa 04/0/05 Shinji Yokogawa 04/0/05 4 0
14 資料 5: 品質管理分野テキスト Shinji Yokogawa 04/0/05 5 Shinji Yokogawa 04/0/05 6 0
15 調査研究報告書 No6 Shinji Yokogawa 04/0/05 7 Shinji Yokogawa 04/0/
16 資料 5: 品質管理分野テキスト 5 Shinji Yokogawa 04/0/05 9 x xe(x)e(x () x E(x) Shinji Yokogawa 04/0/
17 調査研究報告書 No6 () () () Good Good Good Good Good Bad Shinji Yokogawa 04/0/05 (4) Good Bad Good (5) Good Bad Bad () Shinji Yokogawa 04/0/05 06
18 資料 5: 品質管理分野テキスト Shinji Yokogawa 04/0/05 () Shinji Yokogawa 04/0/05 ) ) 4 07
19 調査研究報告書 No6 (4) Shinji Yokogawa 04/0/05 5 Shinji Yokogawa 04/0/05 (5) 6 08
20 資料 5: 品質管理分野テキスト (6) Shinji Yokogawa 04/0/05 7 Shinji Yokogawa 04/0/
21 調査研究報告書 No6 Shinji Yokogawa 04/0/05 9 X V Shinji Yokogawa 04/0/05 N N N i N x xi i i 7 8 x n n i V n x i n xi x i
22 資料 5: 品質管理分野テキスト Shinji Yokogawa 04/0/05 4 x x x x n x i n n x i Shinji Yokogawa 04/0/05 4
23 調査研究報告書 No6 Shinji Yokogawa 04/0/05 [] () 4 Shinji Yokogawa 04/0/05 V S n n 0 x i x n- S n- n- 44
24 資料 5: 品質管理分野テキスト s V 4 5 Shinji Yokogawa 04/0/05 s x CV ~66 f(x) Shinji Yokogawa 04/0/
25 調査研究報告書 No6 : X 04/0/05 Shinji Yokogawa 47 f x f (x x) X ( x ) exp : 7 Shinji Yokogawa 04/0/05 70% 95% 997% 48 4
26 資料 5: 品質管理分野テキスト eg /0/05 Shinji Yokogawa A) B) C) S L SU S L SU S L SU 49 Shinji Yokogawa 04/0/
27 調査研究報告書 No6 Shinji Yokogawa 04/0/05 5 ) ) Shinji Yokogawa 04/0/05 ) 5 6
28 資料 5: 品質管理分野テキスト 00 00,, 0 ) QC ) ) 5 Shinji Yokogawa 04/0/05 S L S U S L S U 8 6 () () () 4 S L 4 S L x x x Shinji Yokogawa 04/0/
29 調査研究報告書 No6 S L S L 4 () () () S L x x x Shinji Yokogawa 04/0/05 55 C p C pk S L S U S L S U 8 4 x 8 6 x Shinji Yokogawa 04/0/05 C pk C pk C p 56 8
30 資料 5: 品質管理分野テキスト,, (0) C p C pk C p > C pk > C pk >00 C pk 00 C p >00 C pk >00 C pk 00 C p C pk > C p 00 C pk 00 Shinji Yokogawa 04/0/05 57 [ppm] C pl C pu C p C pk Shinji Yokogawa 04/0/05 C p or C pk C pk C pl C pu 58 ppm 9
31 調査研究報告書 No6 Shinji Yokogawa 04/0/ Shinji Yokogawa 04/0/
32 資料 5: 品質管理分野テキスト Shinji Yokogawa 04/0/05 6 (7) (8) (9) Shinji Yokogawa 04/0/05 (0) n 6
33 調査研究報告書 No6 (9) n n/n>0 (0)n n *) Shinji Yokogawa 04/0/05 *) n 6 : : () () Shinji Yokogawa 04/0/05 m, n () 64
34 資料 5: 品質管理分野テキスト ) (4) ) (5) n Shinji Yokogawa 04/0/05 (6) 65 (4)5 n n/n>0 (6)n n (4)5 m 5 m/m>0 (6) m 6 m 7 m,n Shinji Yokogawa 04/0/05 66
35 調査研究報告書 No Shinji Yokogawa 04/0/05 (4)5 n n/n>0 (6)n n/n=5/00<0 n= or (4)5 m Shinji Yokogawa 04/0/
36 資料 5: 品質管理分野テキスト 5 m/m>0 (6) m m/m=5/500<0 6 m (m, n)=(, ), (, ), (8, ), (9, ) 7 m,n (m, n) Shinji Yokogawa 04/0/05 (, ) (, ) (8, ) (9, ) ,000 E xi, V xi x Ex, V x 8 n Shinji Yokogawa 04/0/05 /n x 70 5
37 調査研究報告書 No Shinji Yokogawa 04/0/ () a) Pr 04/0/05 Shinji Yokogawa x 7 6
38 資料 5: 品質管理分野テキスト () b) 6 Pr Pr( X X ) Pr( X X ) Pr( X X 4) /0/05 Shinji Yokogawa x x Pr( X X () ) 6 7 c) 6 Pr x x x Pr ( X Pr ( X X X ) 6 X X 4) 6 04/0/05 Shinji Yokogawa 74 7
39 調査研究報告書 No6 Shinji Yokogawa 04/0/ Shinji Yokogawa 04/0/0 76 8
40 資料 5: 品質管理分野テキスト Shinji Yokogawa 04/0/0 77 Shinji Yokogawa 04/0/0 n 78 9
41 調査研究報告書 No6 00,000 00,000, ,000, ,000, , , , ,000,000 Shinji Yokogawa 04/0/
42 資料 5: 品質管理分野テキスト () S T n, r i, j ij S A n, r i, j i a a a i e ij A A A i i S E n, r i, j ij i ST S A
43 調査研究報告書 No6 r A n i ij j r A j r A j r A i i i ij ir A n n n nj nr a a a i e ij A A A i ij a i n a i V S * * * s* V * 0, N 0, ij ij i A n A j r A j r A j r S T A i i i ij ir r A n n n nj nr n, r i, j nr ij T a a a i e ij A A A i S S A E n, r i, j n, r i, j S T n i A nr n nr ij S A i E E T A n r i 4
44 資料 5: 品質管理分野テキスト S V F 0 A S A A =n S A / A V A /V E E S E E = T A S E / E T S T T = nr F 0 > F( A, E, ) % A E H 0 A 5 () 6
45 調査研究報告書 No6 S T S A S B S E S A B 7 AB ij A i a i B j b j a + a + a =0 b + b =0 a i, b j A B A i B j = +a +b +a +(b +b )/ = +a +b,, + (a +a +a )/+b = +a +b +a +(b +b )/ = +a +b,, = +a +b + (a +a +a )/+b +a +(b +b )/ = +a +b 8 4
46 資料 5: 品質管理分野テキスト AB ij A i a i B j b j a + a + a =0 b + b =0 a i, b j A B A i B j = 5 + a +(b +b )/,, + (a +a +a )/+b = = 9 + a +(b +b )/ = 5,, = 7 + a +(b +b )/ + (a +a +a )/+b = A A A B B 0 5
47 L9 =79 a +a +a =b +b +b =c +c +c =0, A B C e = +a +b +c +e = +a +b +c +e = +a +b +c +e 4 4 = +a +b +c +e 5 5 = +a +b +c +e 6 6 = +a +b +c +e 7 7 = +a +b +c +e 8 8 = +a +b +c +e 9 9 = +a +b +c +e A i B j C k e e e c c c b b b a e e e c c c b b b a e e e c c c b b b a ,, b b b,, c c c 調査研究報告書 No6 6
48 資料 5: 品質管理分野テキスト L8 7 =4,748 a +a =b +b +b =c +c +c = =h +h +h =0, A B C D E F G H = +a +b +c +d +e +f +g +h = +a +b +c +d +e +f +g +h = +a +b +c +d +e +f +g +h 4 4 = +a +b +c +d +e +f +g +h 5 5 = +a +b +c +d +e +f +g +h 6 6 = +a +b +c +d +e +f +g +h 7 7 = +a +b +c +d +e +f +g +h 8 8 = +a +b +c +d +e +f +g +h 9 9 = +a +b +c +d +e +f +g +h 0 0 = +a +b +c +d +e +f +g +h = +a +b +c +d +e +f +g +h = +a +b +c +d +e +f +g +h = +a +b +c +d +e +f +g +h 4 4 = +a +b +c +d +e +f +g +h 5 5 = +a +b +c +d +e +f +g +h 6 6 = +a +b +c +d +e +f +g +h 7 7 = +a +b +c +d +e +f +g +h 8 8 = +a +b +c +d +e +f +g +h 4 7
49 調査研究報告書 No6 5 K ((J:J0)) 6 8
50 資料 5: 品質管理分野テキスト 7 8 9
51 調査研究報告書 No6 () 9 / 0 40
52 資料 5: 品質管理分野テキスト 0 N N n, r 0log ij nr i, j N N S n, r 0log ij nr i, j m 0 N N N N Sm Ve nr S 0log 0log V e e nr S m V e 4
53 調査研究報告書 No6 N N e N N = M 0 S e 0log r S 0log S V V N r V e n, r 0log ij nr i, j 0log nr S 0log nr S m V e V e S m V e i = n j r N j r N j r N i i i ij ir j = r N n n n nj nr nr S n r T, i, j ij f nr S e S T S m f nr S m n, r i, j ij nr f V e S e nr 4 4
54 資料 5: 品質管理分野テキスト SN 0log r S 0log r S T L i M n, k, r 0 i, j, h k r r n 0 j r S S ijh 0 h ih V M j V N f e V e M M nkr 0 k r h r 0 0 h i = n ih ikh M M M j M k N r0 r0 jr0 kr0 L N r0 r0 jr0 kr0 L N i ir0 ir0 ijr0 ikr0 L i j = k h=r 0 = N n nr0 nr0 njr0 nkr0 L n nkr 0 S S N n L i r i 0 f n L i i S r r n f n 5 () 6 4
55 調査研究報告書 No6 QC() 7 () 8 44
56 資料 5: 品質管理分野テキスト 9 C C C C4 0 A A A B B B D D ABCD 0 45
57 i j k A B C i a b c 0 x A x A xi xaa x B x B xbb x C x C xcc x A x A xi xaa x B x B xbb x C x C xcc k x Ak x Ak xik xaak x Bk x Bk xbbk x Ck x Ck xcck 04 k x Ak x Ak xik xaak x Bk x Bk xbbk x Ck x Ck xcck 0?? j k x Ajk x Ajk xijk xaajk x Bjk x Bjk xbbjk x Cjk x Cjk xccjk m A m A mi maa m B m B mbb m C m C mcc A A i Aa B B Bb C C Cc j i a b C C Cc x ijk m j j ijk i j k m j k A ijk j j ijk ijk s m x a a V jk Aa jk A jk A Aa A i ijk A jk 調査研究報告書 No6 46
58 i j k A i a 0 A A i Aa V A A A i Aa V A k Ak Ak ik Aak V Ak 04 k Ak Ak ik Aak V Ak 0?? j k Ajk Ajk ijk Aajk V A jk (db) (db) (db) 4 jk A A jk A V V log 0 log 0 0log 0log jk C jk B A jk jk C jk B jk A V V V V V V 資料 5: 品質管理分野テキスト 47
59 調査研究報告書 No6 ()
60 資料 5: 品質管理分野テキスト 7 i x i i x i 8 49
61 調査研究報告書 No6 p-p 9 () 40 50
62 資料 5: 品質管理分野テキスト 4 MO N MN M 0 5 mm M 5 5 mm M 0 5 mm A A N = x x =0 = x x N = x x = x x = x x N = x x =0 = x x N = x x = x x = x x AA A = - (db) (=0log) 0 /0 A 4 5
63 調査研究報告書 No6 A T, S f 6 S V r i, j ij T, M j ij r f i, j S S f f e T T M j j 0log r ˆ, i, j M ˆ M j S ij V V e r e 4 A A A M M M 0 5 mm 5 5 mm 0 5 mm N N N N
64 資料 5: 品質管理分野テキスト () 45 CAE CAE 46 5
65 調査研究報告書 No6 F D C E A B G H 47 A~F G H 48 54
66 資料 5: 品質管理分野テキスト A mm A -5% +5% B mm B -5% - +5% C mm C -5% - +5% D mm D -5% - +5% E mm 8 0 E -5% - +5% F mm F -5% - +5% G Y GPa G -5% - +5% H H -5% - +5% H C B A A B C H N N N N8 8 5% () 50 55
67 調査研究報告書 No6 () 5 56
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(2018 2Q C) [ ] R 2 2 P = (a, b), Q = (c, d) Q P QP = a c b d (a c, b d) P = (a, b) O P a p = b P = (a, b) p = a b R 2 { } R 2 x = x, y R y 2 a p =, c q = b d p + a + c q = b + d q p P q a p = c R c b
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