【正文】 20232023 30 Measurement Systems Analysis (MSA) Attribute Statistical Report Copyright 169。 or use a numeric scale such as 15 /順序型數(shù)據(jù)是指 – 分類是 3個(gè)或 3個(gè)以上，例如嚴(yán)重不一致、不一致、不確定、一致、非常一致，或者用數(shù)字表示如 15 ? When the attribute data can be represented by three or more categories that can be arranged in a rank order, Kendall’s Coefficient of Concordance (KCC) can be used to evaluate the Measurement System /屬性數(shù)據(jù)用 3個(gè)或以上分類的順序表示，可用 KCC評價(jià)測量系統(tǒng) ? KCC ranges from 0 to 1 / KCC 范圍從 01 ? Unlike Kappa, KCC does not treat misclassifications equally, ., the difference between a “mild” and “medium” is less than the difference between “mild” and “very hot” / KCC不同于Kappa，它不能處理誤分類，如： “mild” 和“ medium” 的差異小于 “mild” and “very hot” 的差異 KAPPA: Pass/Fail KCC: Mild/Medium/Hot/Very Hot (Hot sauce) Attribute MSA With Ordered Categories – Kendall’s Coefficient Of Concordance 0 1 Strong association No association Let’s walk through an example to see how these are calculated. 16 Measurement Systems Analysis (MSA) Attribute Kendall’s Coefficient Of Concordance Example Three judges score the quality of a proposal. The scale they use is 15, 1 being “poor”, 5 being “excellent.” The results from their scoring are provided in the following table. / 下面是一個(gè)提議好壞的判斷值。如果文件中有 1個(gè)或多個(gè)數(shù)字 (09)，就是不合格品。 20232023 Six Sigma Academy International, LLC All rights reserved。 20232023 35 Measurement Systems Analysis (MSA) Attribute 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 。你的決定取決于你愿意承擔(dān)的風(fēng)險(xiǎn)。 2個(gè)評價(jià)者獨(dú)立評價(jià)隨機(jī)在不同日期抽取的 10張發(fā)票。 assessments agree with each other. Fleiss39。 20232023 32 Measurement Systems Analysis (MSA) Attribute Statistical Report Continued Copyright 169。 20232023 28 Measurement Systems Analysis (MSA) Attribute DATE: 1/4/2023 Attribute Legend 5 (used in putations) NAME: Acme Employee 1 Pass PRODUCT: Widgets 2 Fail BUSINESS: Earth Products Known Population Sample Attribute Try 1 Try 2 Try 1 Try 2 Try 1 Try 2 1 Pass Pass Pass Pass Pass Pass Pass 2 Pass Pass Pass Pass Pass Pass Pass 3 Pass Pass Pass Pass Pass Pass Pass 4 Pass Pass Pass Pass Pass Fail Pass 5 Fail Fail Fail Fail Fail Pass Fail 6 Fail Pass Pass Pass Pass Pass Pass 7 Pass Pass Pass Pass Pass Pass Pass 8 Pass Pass Pass Pass Pass Pass Pass 9 Fail Fail Fail Fail Fail Fail Fail 10 Pass Pass Pass Pass Pass Pass Pass 11 Pass Pass Pass Pass Pass Pass Pass 12 Pass Pass Pass Pass Pass Pass Pass 13 Pass Pass Pass Pass Pass Pass Pass 14 Pass Pass Pass Pass Pass Fail Pass 15 Fail Fail Fail Fail Fail Pass Fail 16 Pass Pass Pass Pass Pass Pass Pass 17 Pass Pass Pass Pass Pass Pass Pass 18 Pass Pass Pass Pass Pass Pass Pass 19 Fail Fail Fail Fail Fail Fail Fail 20 Pass Pass Pass Pass Pass Pass Pass 21 Pass Pass Pass Pass Pass Pass Pass 22 Pass Fail Fail Pass Pass Pass Pass 23 Pass Pass Pass Pass Pass Pass Pass 24 Pass Pass Pass Pass Pass Fail Pass 25 Fail Fail Fail Fail Fail Fail Fail 26 Pass Pass Pass Pass Pass Pass Pass 27 Pass Pass Pass Pass Pass Pass Pass 28 Pass Pass Pass Pass Pass Pass Pass 29 Fail Fail Fail Fail Fail Fail Fail 30 Pass Pass Pass Pass Pass Pass Pass Operator 1 Operator 2 Operator 3 Attribute MSA Example Open file: Copyright 169。 assessments agree with each other. Kappa Statistics Response Kappa SE Kappa Z P(vs. 0) b g MINITAB Output – Session Window Since Kappa for both Appraisers, both agree well with themselves/ 2個(gè)評價(jià)者 Kappa ，一致度較好 ? Adequate repeatability/足夠的重復(fù)性 Since Kappa for the Between Appraisers,/ 評價(jià)者間的 Kappa ? Adequate reproducibility/足夠的再現(xiàn)性 13 Measurement Systems Analysis (MSA) Attribute Guidelines For Kappa Studies ? Planning 策劃 Sample Size樣本大小 ? 100 samples with two trials per Appraiser / 100個(gè)樣品，每個(gè)評價(jià)者重復(fù) 2次 ? If only 50100 samples are available, do three trials per Appraiser/如果只有 50100個(gè)樣品，每個(gè)評價(jià)者重復(fù) 3次 ? 50, understand that you may need very high Kappas to have adequate confidence/50, 需要很高的Kappa值才能有足夠的信賴性 Sample Part Selection 樣品選擇 ? Parts in the study should represent the full range of variation – Practically speaking, if you chose “really good” parts and “really bad” parts, you wouldn’t be testing the Measurement Systems ability to accurately categorize the ones in between/研究的樣品能夠代表變差的整個(gè)范圍 –事實(shí)上，如果選擇 ”很好 ”或”很壞”的部件，就不能檢驗(yàn)測量系統(tǒng)正確分類的能力 ? For maximum confidence in the calculated Kappa, we would like to have 50/50 mix of good/bad parts。 2. In teams of two, appoint one person to be the data collector – The other person is the inspector. The data collection sheet is located on the following page. 2人一組，任命其中一個(gè)為數(shù)據(jù)收集員，另一個(gè)是檢查員，數(shù)據(jù)收集表在后面一頁中 3. The document number is located under each of the 20 documents. The documents will be visible for three seconds before automatically advancing. The e