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在諸如汽車(chē)業(yè)的一些產(chǎn)業(yè)中,人們將對(duì)CPK的計(jì)算稱(chēng)作PPK.至于人們?yōu)槭裁从?2或者的數(shù)據(jù)來(lái)計(jì)算CPK,我對(duì)此做了一些研究。人們?cè)谶\(yùn)算中視cp1.33為普通理解與當(dāng)前能力與4sigma的離差保持一致。如果你用這個(gè)數(shù)據(jù)做一些計(jì)算然后對(duì)照美國(guó)質(zhì)量出版社出版的表格。(我曾嘗試著郵寄那張表,但都沒(méi)有成行。這簡(jiǎn)直太糟了,我猜想管理部門(mén)遺失了該郵件)。你可以取值接近32,但即使32有時(shí)候也不足以得到一個(gè)沒(méi)有誤差的加工能力比率
What I wanna stress again is that capability ratio is not everything, there are too many misuses in the industry, don‘t count all on it.
我想再一次強(qiáng)調(diào)的是加工能力比率并不是萬(wàn)能的,在工業(yè)上有很多的誤用,不要全部依靠它來(lái)計(jì)算。
Here is my answer to the question of 32 sample size:
這里是我對(duì)樣本尺寸為32的問(wèn)題的回答。
A practice that is increasingly common in industry is to require a supplier to demonstrate process capability as part of the contractual agreement. Thus, it is frequently necessary to prove that the process capability ratio Cp meets or exceeds some particular target valuesay, Cp0. This problem may be formulated as a hypothesis testing problem:
一個(gè)要在工業(yè)中日漸成熟的練習(xí)是需要一個(gè)供應(yīng)者示范如契約的協(xié)議部份般的程序能力。 因此,有必要經(jīng)常證明加工能力比率CP等于或者超過(guò)如CP0的一些特殊目標(biāo)價(jià)值。這個(gè)問(wèn)題可能被制定為一個(gè)假設(shè)的測(cè)試問(wèn)題:H0:Cp= Cp0 (or the process is not capable)
H1: Cp≥ Cp0 (or the process is capable)
We would like to reject H0 (recall that in statistical hypothesis testing rejection of Null hypothesis is always a strong conclusion),thereby demonstrating that the process is capable. We can formulate the statistical test in terms of Cp‘,so that we will reject H0 if Cp’ exceeds a critical value C.
我們想要否定H0( 取消對(duì)統(tǒng)計(jì)的假設(shè)中無(wú)效力假設(shè)的測(cè)試否定一直是一個(gè)強(qiáng)大的結(jié)論)。因此,示范加工是有能力的。我們可以根據(jù) Cp‘ 制定統(tǒng)計(jì)的測(cè)試, 所以如果 Cp’超過(guò)一個(gè)關(guān)鍵的價(jià)值 C,那么我們會(huì)否定H0 .
Kane(1986) has investigated this test, and provide a table of sample sizes and critical values for C to assist in testing process capability. We may define Cp(High) as a process capability that we would like to accept with probability (1-α) and Cp(low) as a process capability that we‘d like to reject with probability (1-β)。 Please refer to the table created by Kane and used by American Society for Quality Control.
凱恩 (1986) 已經(jīng)調(diào)查這上述測(cè)試, 而且向C提供一張有樣品大小和關(guān)鍵值的表給來(lái)協(xié)助測(cè)試的加工能力。就如我們喜歡接受(1-α)的可能性和CP(低)作為程序能力和否定(1-β)的可能性一樣,我們可以將CP(高)定義為一個(gè)加工能力。請(qǐng)查閱凱恩所創(chuàng)建的并為美國(guó)社會(huì)質(zhì)量控制所用的表格.
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