[管理學(xué)]09capability制程能力(編輯修改稿)
2024-11-12 21:40 本頁面
【文章內(nèi)容簡介】 ian TrMean StDev SEMean Output 32 Now run Descriptive Statistics using the ?By Variable? function : Stat Basic Statistics Descriptive Statistics ( Variables : Output , By variable : Shift ) Descriptive Statistics Variable Shift N Mean Median TrMean StDev SEMean Output 1 8 2 8 3 8 4 8 Results of Descriptive Statistics What implication does this have in studying process capability? What sigma represents the real process capability? What sigma represents the potential process capability? Six Sigma Training 15 Components of Variation and Rational Subgroups 765432102 32 22 12 01 91 81 71 61 51 41 31 21 11 098765432103 . 52 . 51 . 5H o u rOutputD e m o n s t a t i o n o f R a t i o n a l S u b g r o u p sS h i f t i s t h e G r o u p i n g V a r i a b l eTotal Sum of Squares = Between Grp SS + Within Grp SS Total Variability Mean Shift Variability Pooled Within Grps Variability 2g1jn1=ijijg1j=2j2g1j=n1=iij )X(X)XX(n)XX( ? ??? ??????Six Sigma Training 16 2g1jn1=ijijg1j=2j2g1j=n1=iij )X(X)XX(n)XX( ? ??? ??????Components of Variation and Rational Subgroups 765432102 32 22 12 01 91 81 71 61 51 41 31 21 11 098765432103 . 52 . 51 . 5H o u rOutputD e m o n s t a t i o n o f R a t i o n a l S u b g r o u p sS h i f t i s t h e G r o u p i n g V a r i a b l eCapability Precision Accuracy Total Sum of Squares = Between Grp SS + Within Grp SS Six Sigma Training 17 Visualizing the Process Dynamics Over time, a “typical” process will shift and drift by approx. ? “ Short Term Capability” Nomi nalLSL USLLSL USL T Time 1 Time 2 Time 3 Time 4 Pooled std. dev. Overall std. dev. WITHIN GROUP BETWEEN GROUP Inherent Capability of the Process Sustained Capability of the Process “ Long Term Capability” Six Sigma Training 18 Visualizing the Components of Variability USL LSL The effect of process shift over time is sigma 1 j= 2 j ) X X ( n ? g 2 g 1 j n 1 = i j ij ) X (X ? ? ? ? 2 g 1 j= n 1 = i ij ) X X ( ? ? ? Six Sigma Training 19 3 Sigma Process No Mean Shift 9 08 07 06 05 0U S LL S L3 S i g m a P r o c e s sP P M T o t a lP P M U S LP P M L S LP P M T o t a lP P M U S LP P M L S LP P M T o t a lP P M U S LP P M L S LP p kP P LP P UP pC p mC p kC P LC P UC pS t D e v ( L T )S t D e v ( S T )S a m p l e NM e a nL S LT a r g e tU S L2 8 3 5 . 1 01 4 4 3 . 5 31 3 9 1 . 5 73 3 1 5 . 8 21 6 8 7 . 4 01 6 2 8 . 4 24 0 0 0 . 0 02 0 0 0 . 0 02 0 0 0 . 0 00 . 9 91 . 0 00 . 9 91 . 0 01 . 0 00 . 9 80 . 9 80 . 9 80 . 9 85 . 0 2 4 9 25 . 1 0 7 4 65 0 07 0 . 0 2 8 25 5 . 0 0 0 07 0 . 0 0 0 08 5 . 0 0 0 0E x p e c t e d L T P e r f o r m a n c eE x p e c t e d S T P e r f o r m a n c eO b s e r v e d P e r f o r m a n c eO v e r a l l ( L T ) C a p a b i l i t yP o t e n t i a l ( S T ) C a p a
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