Minitab 常用操作说明

Process Capability of Mea
Using Box-Cox Transformation With Lambda = -5
USL* Process Data LSL 1.84 Target * USL 1.9 Sample Mean 1.87603 Sample N 32 StDev(Within) 0.00591975 StDev(Overall) 0.00591975 After Transformation LSL* Target* USL* Sample Mean* StDev(Within)* StDev(Overall)* 0.0474145 * 0.0403861 0.0430389 0.0006708 0.0006708 LSL*
Exp. Overall Performance PPM > LSL* 0.00 PPM < USL* 38.33 PPM Total 38.33
• 若數據為短期：CPK=1.32 sigma lever=Z.Bench=3.95 • 若數據為長期：CPK=1.32 sigma lever=Z.Bench+1.5=5.45
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分別填入Cpk & Sigma Level (Overall Capability Z Bench + 1.5)
最後將mini tab 分析結果做綜合判斷
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2. CAR 報告中操作說明.
2.1 1-sample的數據 1-sample的數據分析同item 1 Boxplot 離散性確認
Exp. Overall Performance PPM < LSL 0.47 PPM > USL 27.87 PPM Total 28.35
• 若數據為短期：CPK=1.34 sigma lever=Z.Bench=4.93 • 若數據為長期：CPK=1.34 sigma lever=Z.Bench+1.5=6.43
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1.4.2. 當量測值為非常態分配 • StatControl ChartsBox-Cox Transformtic
填入組內量測值數量
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Box-Cox Plot of C1
3.2 准確性及線結評估
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3.3 重復性及再現性評估
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0.0408
Observed Performance PPM < LSL 0.00 PPM > USL 0.00 PPM Total 0.00
0.0420
0.0432
0.0444
0.0456
0.0468
Exp. Within Performance PPM > LSL* 0.00 PPM < USL* 38.33 PPM Total 38.33
Percent
60 50 40 30 20 10 5
60 50 40 30 20 10 5
1
1
4.200
4.205
4.210
4.215 m easure
4.220
4.225
4.230
P-value > 0.05, 量測值呈 “常態分配”
P-value < 0.05, 量測值非 “常態分配”
通過P-value是否大於0.05來判定是否為常態分布.
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1.4. 以Capability Analysis 來確認Cpk & Sigma Level 首先需先確認其是否為常態分配(同1.2量測值是否 呈常態分配確認）
Probability Plot of measure
Nwenku.baidu.comrmal
99 Mean 4.217 StDev 0.005622 N 32 AD 1.572 P-Value <0.005
4.230
4.225
4.220
m easure
4.215
4.210
4.205
有離散值
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2.2.2 Normal Test(同item 1.2) • StatBasic Statistic Normality test
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1.3. 以1-sample T 檢定量測值是否與目標值相符 • StatBasic Statistics1-Sample t
此部分填入目標值(Nominal value)
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確認P-value 是否>0.05, 若其>0.05 即表示其接受虛無假設Ho, 也就是量測 值等於目標值; 若P-value < 0.05 即表示拒絕虛無假設而接受對立假設, 也 就是量測值不等於目標值.
可分別得到Cpk & Z Bench
0.648
Observed Performance PPM < LSL 0.00 PPM > USL 0.00 PPM Total 0.00
0.660
0.672
0.684
0.696
0.708
0.720
Exp. Within Performance PPM < LSL 0.47 PPM > USL 27.87 PPM Total 28.35
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1. 產品尺寸評估方式說明
1. 以Boxplot 確認量 測值內是否有離散 值
2. 以Normality Test 確認量測值是否呈 常態分配 3. 以1-sample T 檢定 量測值是否與目標 值相符
4. 以Capability Analysis 來確認Cpk & Sigma Level
Revision : A
Minitab 常用操作說明
Prepared by : 蔡培奪
Date : 12/1 ‘ 2006
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內容： 1. 產品尺寸評估方式說明 2. 客訴報告中常用操作(2-sample t） 3. Gauge R&R評估說明
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LSL
Process Data LSL 0.64 Target * USL 0.72 Sample Mean 0.683906 Sample N 32 StDev(Within) 0.00895598 StDev(Overall) 0.00895598
USL Within Overall
Potential (Within) Capability Z.Bench 4.03 Z.LSL 4.90 Z.USL 4.03 Cpk 1.34 Overall Capability Z.Bench Z.LSL Z.USL Ppk Cpm 4.03 4.90 4.03 1.34 *
1.2. 量測值是否呈常態分配確認 • StatBasic Statistic Normality test
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Probability Plot of Measure
Normal
99 Mean 3.156 StDev 0.002893 N 32 AD 0.574 P-Value 0.125
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由於我們為一個lot 收集32 個量測值而 非不同lot 進行收集, 因此於Subgroup size 部分填入32.
分別填入既定的尺寸上下限值
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Process Capability of C1
Probability Plot of measure
Normal
99 Mean 4.217 StDev 0.005622 N 32 AD 1.572 P-Value <0.005
95 90 80 70
95 90 80 70
Percent
3.150 3.152 3.154 3.156 3.158 Measure 3.160 3.162 3.164
99 Mean 3.156 StDev 0.002893 N 32 AD 0.574 P-Value 0.125
Probability Plot of Measure
Normal
95 90 80 70
95 90 80 70
Percent
Percent
60 50 40 30 20 10 5
60 50 40 30 20 10 5
4.230
4.225
4.220
m easure
4.215
4.210
4.205
有離散值
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1.1. Boxplot 離散值確認
從Boxplot 確認是否有Outlier, 若有的話需再確認其是否已out spec (有無異常).
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transformed data
Within Overall Potential (Within) Capability Z.Bench 3.95 Z.LSL 6.52 Z.USL 3.95 Cpk 1.32 Overall Capability Z.Bench Z.LSL Z.USL Ppk Cpm 3.95 6.52 3.95 1.32 *
正態轉換係數Lambda = -5.00
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• StatQuality ToolsCapability Analysis NormalBox Cox
將之前得到的正態轉換係數填入即可, 其他步驟則 與量測值為常態分配時一樣
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2.2.2 Boxplot 離散性確認 • GraghBoxplotOne Y/with group
Measure
Boxplot of Measure
3.162
3.160
3.158
3.156
3.154
3.152
3.150
無離散值
Boxplot of measure
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1.1. Boxplot 離散值確認 • GraghBoxplotOne Y/Simple
Measure
Boxplot of Measure
3.162
3.160
3.158
3.156
3.154
3.152
3.150
無離散值
Boxplot of measure
1
1
4.200
4.205
4.210
4.215 m easure
4.220
4.225
4.230
3.150
3.152
3.154
3.156 3.158 Measure
3.160
3.162
3.164
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1.4.1. 當量測值為常態分配 • StatQuality ToolsCapability Analysis Normal
2.2.3標准差檢定
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2.2.4平均值檢定
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3 Gauge R&R-計數型
3.1基本概念
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0.005975
Lambda (using 95.0% confidence) Estimate -5.00 * * -5.00
0.005950
Lower CL Upper CL Rounded Value
0.005925
StDev
0.005900
0.005875
0.005850 -5.0 -2.5 0.0 Lam bda 2.5 5.0
Normal test
CPK確認
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2.2 2-sample的數據
2-sample的數據分析如下
Boxplot 離散性確認
Normal test
差 異 分 析
標准差檢定
標准差檢定
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2.2.1 sample size確定