【正文】
n 為測(cè)量值的個(gè)數(shù) ? 第三張圖顯示的是將 50 個(gè)數(shù)據(jù)全部合并一起,計(jì)算總的標(biāo)準(zhǔn)偏差為 (長(zhǎng)期標(biāo)準(zhǔn)偏差 ) : Slt = j = 1(ng)SPCDiscussion question: What information is provided by the difference in Zst and Zlt?實(shí)例計(jì)算練習(xí)假定規(guī)范為 —? The sample mean of the 50 observations is y = __________.? The overall sample standard deviation is s lt = _______.? The weighted average of the lot standard deviations (variances) is sst = ______.? The target specification value is assumed to be centered at T =_____.? The capability index (potential) is Cp = _______________.? The short term Zst = 3 Cp = ________________.? The upper capability index is Cpu = _____________________.? The lower capability index is Cpl = ______________________.? The capability index is Cpk = min {Cpu, Cpl}=___________________.? The upper performance index is Ppu = ____________________.? The lower performance index is Ppl = ____________________.? The performance index Ppk = min {Ppu, Ppl}= ________.? The longterm Zlt = 3 Ppk = _____________. SPC? The sample mean of the 50 observations is y=.? The overall sample standard deviation is slt=.? The weighted average of the lot standard deviations (variances) is sst=.? The target specification value is assumed to be centered at T = .? The capability index (potential) is Cp = = .? The short term Zst = 3 x () = .? The upper capability index is Cpu =? The lower capability index is Cpl =? The capability index is Cpk = min{, } = .? The upper performance index is Ppu = ? The lower performance index is Ppl =? The performance index Ppk = min {Ppu, Ppl} = .? The long term Zlt = 3() = . ()6()()3() = .()3() = .()3() = .()3() = .Discussion question: What information is provided by the difference in Zst and Zlt?習(xí)題答案SPC謝謝觀看 /歡迎下載BY FAITH I MEAN A VISION OF GOOD ONE CHERISHES AND THE ENTHUSIASM THAT PUSHES ONE TO SEEK ITS FULFILLMENT REGARDLESS OF OBSTACLES. BY FAITH I BY FAITH。? “第二張圖顯示的是各批的變差情況,其 “ 平均 ”的標(biāo)準(zhǔn)偏差為 . 計(jì)算方法如下Sst = g229。P{X=r}=Crnpr(1p)nr r=1, 2, ….., n當(dāng) n 很大,不合格數(shù) nu很小時(shí),不合格數(shù) C= nu的分布趨向于泊松分布 (Poisson): lc Pc= Cl C!當(dāng) n充分大( n50), nu不小于 5時(shí),二項(xiàng)分布和泊松分布都趨于正態(tài)分布。3? 以?xún)?nèi)% 的數(shù)據(jù)落在 177。1? 以?xún)?nèi)% 的數(shù)據(jù)落在 177。SPC Examples of distributions 不同的分布Negative Skew負(fù)斜P(pán)ositive Skew正斜Symmetric Distribution對(duì)稱(chēng)分布LefttailedRighttailedTwotailedSPCMean: Arithmetic average of a set of values 均值 :算數(shù) 平均 值Reflects the influence of all values反映全部數(shù)據(jù)的影響Strongly Influenced by extreme values受特殊值干擾大Median: Reflects the 50% rank the center number after a set of numbers has been sorted from low to :反映 系列的一半 — 將一組數(shù)據(jù)按大小順序排列,取 中間的 一個(gè)數(shù)據(jù)Does not include all values in calculation 計(jì)算中未包含全部數(shù)據(jù)Is “robust” to extreme outlier scores. 對(duì)特殊值的干擾有抵抗 The mean and median will be affected by the nature of