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Data Integrity and Continuous
Process Verification
In compliance with
Pharmaceutical regulations
Robert Collis
Trainer and Technical Specialist
© 2019 Minitab, Inc.
2
Presentation Objectives
• General statistical approaches for ensuring data
quality
• Defining precision and accuracy
• Long term method validation
• Process Monitoring
• Checking process stability
• Estimating process performance
© 2019 Minitab, Inc.
© 2019 Minitab, Inc.
What Minitab offers
4
Powerful statistical software
everyone can use.
Integrated project tools and reporting
to manage Continuous Improvement.
Online learning solution to master
statistics and Minitab® anytime, anywhere.
Powerful data mining with machine
learning and predictive analytics.
Products
Services
Training
Public courses or onsite training
matched to your requirements.
Statistical Consulting
Personalized help with your
statistical and analysis challenges
from experts.
Support
Assisting your use of the software,
installation and implementation.
© 2019 Minitab, Inc.
« I enjoy drawing on my real-life
experiences of using statistics when
teaching courses in the European
company environment. I try to make
our Minitab training courses practical,
accessible and memorable. My role
as a trainer is made all the more
interesting as I am able to roll out the
same training programme in both
French and English for our customers
with multiple sites across Europe.”
».
Our Presenter Today:
Robert Collis
Trainer and Technical Specialist
Data Integrity and Continuous
Process Verification
In compliance with
Pharmaceutical regulations
Robert Collis
Trainer and Technical Specialist
Watch Now Online >
© 2019 Minitab, Inc.
7
Presentation Objectives
• General statistical approaches for ensuring data
quality
• Defining precision and accuracy
• Long term method validation
• Process Monitoring
• Checking process stability
• Estimating process performance
© 2019 Minitab, Inc.
8
Criticalness of Data Quality - Breaking Trust
Consequences:
• Validation and control of processes
incorrect
• Trust is lost between the authorities and
health care organizations
• Patient safety comprised
© 2019 Minitab, Inc.
9
Criticalness of Data Quality
© 2019 Minitab, Inc.
10
Criticalness of Data Quality
σTotal
2= σPart to Part
2 + σMethod
2 + σTechnician
2
Number of parts in study 10
Number of operators in study 3
Number of replicates 2
Study Information
study.
variation. The process variation is estimated from the parts in the
The measurement system variation equals 33,1% of the process
Yes No
0% 10% 30% 100%
33,1%
The measurement system variation equals 47,7% of the tolerance.
Yes No
0% 10% 30% 100%
47,7%
ReprodRepeatTotal Gage
45
30
15
0
30
10
%Study Var
%Tolerance
total variation in the process.
This equals 84,9% of the measurement variation and is 28,1% of the
variation that occurs when different people measure the same item.
• Operator and Operator by Part components (Reproducibility): The
variation in the process.
equals 52,8% of the measurement variation and is 17,5% of the total
when the same person measures the same item multiple times. This
• Test-Retest component (Repeatability): The variation that occurs
reproducibility to guide improvements:
gage variation is unacceptable, look at repeatability and
Examine the bar chart showing the sources of variation. If the total
>30%: unacceptable
10% - 30%: marginal
<10%: acceptable
General rules used to determine the capability of the system:
Variation by Source
(Replicates: Number of times each operator measured each part)
Comments
Gage R&R Study for Quantity of Active Ingredient
Summary Report
Can you adequately assess process performance?
Can you sort good parts from bad?
© 2019 Minitab, Inc.
11
Criticalness of Data Quality
► This study consists of at least 50 trials where five reference samples are measured at least 10 times
Constant 0,36734 0,03461 0,000
Slope -0,004958 0,004743 0,300
Predictor Coef SE Coef P
Gage Linearity
S 0,114299 R-Sq 1,8%
Average 0,334617 0,000
2,2 0,362667 0,000
4,4 0,326000 0,000
6,6 0,345250 0,000
8,8 0,336083 0,000
11 0,303083 0,000
Reference Bias P
Gage Bias
Gage name:
Date of study:
Reported by:
Tolerance:
Misc:
12108642
0,8
0,6
0,4
0,2
0,0
Reference Value
Bias
0
Regression
95% CI
Data
Avg Bias
Gage Linearity and Bias Report
© 2019 Minitab, Inc.
12
Criticalness of Data Quality
• Often difficult to identify what is
causing imprecision and bias.
• Robustness is a requirement
for method validation and some
organizations run 2 level
factorial experiments to
determine which factors affect
the bias and precision
• Here there are 5 factors where
a half fractional 2 level factorial
design was run – that is 16 runs
out of 32 possible treatment
combinations
40
20
0,1-0,1
10
-10
20
-20
10-10
Column Tempearture
Flow rate
NH3
MeOH
Acetic Acid
Centerpoint
Factorial Point
Cube Plot
Worksheet: Worksheet 5
© 2019 Minitab, Inc.
13
Criticalness of Data Quality
Term
D
BD
BE
E
A
CE
DE
AE
BC
C
AB
AC
CD
AD
B
0,80,70,60,50,40,30,20,10,0
A Acetic Acid
B MeOH
C NH3
D Flow rate
E Column Tempearture
Factor Name
Effect
0,6340
Pareto Chart of the Effects
(response is stddev; α = 0,05)
Worksheet: Worksheet 5
Lenth’s PSE = 0,246639
20-20
0,020
0,018
0,016
0,014
0,012
0,010
MeOH
Meanofstddev
Main Effects Plot for stddev
Fitted Means
Worksheet: Worksheet 5
Term
E
AB
AE
AC
BC
B
DE
BD
C
AD
BE
CD
D
CE
A
0,100,080,060,040,020,00
A Acetic Acid
B MeOH
C NH3
D Flow rate
E Column Tempearture
Factor Name
Effect
0,0161
Pareto Chart of the Effects
(response is means; α = 0,05)
Worksheet: Worksheet 5
Lenth’s PSE = 0,00625
10-10
0,850
0,825
0,800
0,775
0,750
Acetic Acid
Meanofmeans
Main Effects Plot for means
Fitted Means
Worksheet: Worksheet 5
Precision Bias
© 2019 Minitab, Inc.
14
Criticalness of Data Quality
Cur
High
Low
D: 0,3555
Optimal
Predict
d = 1,0000
Targ: 0,80
y = 0,80
means
d = 0,12638
Minimum
y = 0,0087
stddev
D: 0,3555
Desirability
Composite
-20,0
20,0
-10,0
10,0
MeOHAcetic A
[-0,2660] [20,0]
• Method Optimization
© 2019 Minitab, Inc.
15
Criticalness of Data Quality
28252219161310741
9,3
9,2
9,1
9,0
Sample
SampleMean
__
X=9
UCL=9,0530
LCL=8,9470
28252219161310741
0,4
0,2
0,0
Sample
SampleRange
_
R=0,0518
UCL=0,1333
LCL=0
1
11
1
1
1
Worksheet: DensitéFilm.MTW
At least one estimated historical parameter is used in the calculations.
Xbar-R Chart
28252219161310741
9,2
9,1
9,0
Sample
SampleMean
__
X=9,0209
UCL=9,0809
LCL=8,9609
28252219161310741
0,2
0,1
0,0
Sample
SampleRange
_
R=0,0586
UCL=0,1509
LCL=0
11
1
1
Xbar-R Chart of process
Worksheet: DensitéFilm.MTW
Method Process
© 2019 Minitab, Inc.
16
Overall /LT
SD
151413121110987654321
9,10
9,05
9,00
8,95
subgroup
process
Individual Value Plot of process
Worksheet: DensitéFilm.MTWWithin/ST SD
Better understanding
of the two different
types of process
variation
Process Monitoring and Control
© 2019 Minitab, Inc.
17
Process Monitoring and Control
151413121110987654321
9,050
9,025
9,000
SampleMean
__
X=9,02458
UCL=9,06228
LCL=8,98688
151413121110987654321
0,16
0,08
0,00
SampleRange
_
R=0,078
UCL=0,1563
LCL=0
15105
9,12
9,04
8,96
Sample
Values
9,189,129,069,008,948,888,82
LSL 8,8
USL 9,2
Specifications
LSL USL
Overall
Within
9,19,08,9
StDev 0,03173
Cp 2,10
Cpk 1,84
PPM 0,02
Within
StDev 0,03723
Pp 1,79
Ppk 1,57
Cpm *
PPM 1,23
OverallOverall
Within
Specs
Process Capability Sixpack Report for process
Worksheet: DensitéFilm.MTW
Xbar Chart
R Chart
Last 15 Subgroups
Capability Histogram
Normal Prob Plot
AD: 0,762, P: 0,046
Capability Plot
Need to demonstrate that process mean
and variation are stable
Data relatively normal
Moderately poor resolution
© 2019 Minitab, Inc.
18
Fat Pencil Test
• Large sample size drawn from normal
population
• Can lead to low p-value for AD test
• Test is overly sensitive
• Fat pencil test
• Are able to assume the data is normal
5,02,50,0-2,5-5,0
99,99
99
95
80
50
20
5
1
0,01
Mean -0,02108
StDev 1,054
N 5000
AD 1,188
P-Value <0,005
T Distribution
Percent
Probability Plot of T Distribution
Worksheet: SampleSize.MTW
Normal
© 2019 Minitab, Inc.
19
Capability Indices
Cp
• Potential Capability
• (Voice of the
Customer)/(Voice of
the Process)
LSL USL
Voice of the Customer
-3s +3s
Customer Tolerance
Voice of the Process
© 2019 Minitab, Inc.
20
Capability Indices
Customer Tolerance
+3SD-3SD
• FDA requires a Ppk of 1.33 as a minimum (when
the process is not in control)
• Defect rate 0.0032%
USL LSL
Ppk
• Actual Capability
• (Voice of the Customer)/(Voice
of the Process)
© 2019 Minitab, Inc.
21
Capability Indices
USL LSL
Customer Tolerance
+3SD-3SD
Cpk
• Capability if process not
recentered but variation
reduced to within or potential
standard deviation
• (Voice of the Customer)/(Voice
of the Process)
© 2019 Minitab, Inc.
22
Non-normal data
• Use of normal capability incorrectly
• Capability sensitive to non-
normality
• Issues also with control charts
when subgroup size is 1
363024181260-6
300
250
200
150
100
50
0
Mean 4,133
StDev 4,227
N 1500
Process dataFrequency
Normal
Histogram of Process Data
© 2019 Minitab, Inc.
23
Causes of Non-normality
• Data naturally non-normal
• Example: Time
• Outliers
• Example: Unexpected sudden
change
• Measurement Resolution
• Example: tape measure
• Cluster at one value
• Example: Impurities
• Data from different sources
• Example: different reactors
• Shift and Drift
• Example: process parameter
changes or increasing bias in
method used over time
© 2019 Minitab, Inc.
24
Control Charts : Non-normal data
© 2019 Minitab, Inc.
25
EWMA Charts
1361211069176614631161
25
20
15
10
5
0
Sample
EWMA
__
X=5,12
UCL=10,69
LCL=-0,45
EWMA Chart of Process Data
• Robust to Non-Normality
• Adapted to small shifts in the
mean (for example 1
standard deviation)
• Can be adjusted to modify
sensitivity
© 2019 Minitab, Inc.
26
Non-Normal Capability Analysis
2,1002,0251,9501,8751,8001,7251,650
LSL *
Target *
USL 2,1
Sample Mean 1,94735
Sample N 150
Location 1,99433
Scale 0,0822776
Process Data
Pp *
PPL *
PPU 0,64
Ppk 0,64
Overall Capability
% < LSL *
% > USL 3,33
% Total 3,33
Observed Performance
% < LSL *
% > USL 2,70
% Total 2,70
Exp. Overall Performance
USL
Process Capability Report for Process Data
Calculations Based on Smallest Extreme Value Distribution Model
• The Ppk is based on the Z-score
method (default in Minitab)
• The expected defect rate is 2,7%
© 2019 Minitab, Inc.
27
Non-Normal Capability Analysis - Zscore
0,4
0,3
0,2
0,1
0,0
X
Density
1,927
0,0269898
0
Distribution Plot
Normal; Mean=0; StDev=1
Worksheet: newexp2
Mean =0
Standard deviation = 1
• Z-score=(USL – Mean)/(overall standard deviation)
• Ppk=(USL – Mean)/(3 X overall standard deviation)
• Ppk = Z-score/ 3
• Ppk=Z-score/3=1.927/3=0.64
© 2019 Minitab, Inc.
28
Non-Parametric Capability
28
0,900,750,600,450,300,150,00
USL
Empirical Process Capability of C10
Using the Empirical Percentile Method
Worksheet: newexp
Process Data
LSL
USL
Sample Median
Sample Mean
Sample StDev
Sample N
*
0,950000
0,491151
0,491744
0,292804
1200
Capability Indices
Cnp
Cnpl
Cnpu
Cnpk
*
*
0,910859
0,910859
Observed Performance
PPM < LSL
PPM > USL
PPM Total
*
48333,3
48333,3
• (Upper Spec Limit – 50th
Percentile)/(99.5th
Percentile– 50th Percentile)
• The Non-Parametric
Capability Statistic is 0.91
© 2019 Minitab, Inc.
29
Conclusions
• Continuous control of methods required
• Ongoing stability studies
• More application of Design of experiments
• Better education required for Continuous Process Monitoring &
Method Validation
• Improve Statistical Knowledge
• Understand how to treat non-normal data
• Deal with data not following any particular underlying distribution
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 FREE CONSULTATION: Which analysis software is right for you?
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Data Integrity and Continuous Process Verification

  • 1. Data Integrity and Continuous Process Verification In compliance with Pharmaceutical regulations Robert Collis Trainer and Technical Specialist
  • 2. © 2019 Minitab, Inc. 2 Presentation Objectives • General statistical approaches for ensuring data quality • Defining precision and accuracy • Long term method validation • Process Monitoring • Checking process stability • Estimating process performance
  • 4. © 2019 Minitab, Inc. What Minitab offers 4 Powerful statistical software everyone can use. Integrated project tools and reporting to manage Continuous Improvement. Online learning solution to master statistics and Minitab® anytime, anywhere. Powerful data mining with machine learning and predictive analytics. Products Services Training Public courses or onsite training matched to your requirements. Statistical Consulting Personalized help with your statistical and analysis challenges from experts. Support Assisting your use of the software, installation and implementation.
  • 5. © 2019 Minitab, Inc. « I enjoy drawing on my real-life experiences of using statistics when teaching courses in the European company environment. I try to make our Minitab training courses practical, accessible and memorable. My role as a trainer is made all the more interesting as I am able to roll out the same training programme in both French and English for our customers with multiple sites across Europe.” ». Our Presenter Today: Robert Collis Trainer and Technical Specialist
  • 6. Data Integrity and Continuous Process Verification In compliance with Pharmaceutical regulations Robert Collis Trainer and Technical Specialist Watch Now Online >
  • 7. © 2019 Minitab, Inc. 7 Presentation Objectives • General statistical approaches for ensuring data quality • Defining precision and accuracy • Long term method validation • Process Monitoring • Checking process stability • Estimating process performance
  • 8. © 2019 Minitab, Inc. 8 Criticalness of Data Quality - Breaking Trust Consequences: • Validation and control of processes incorrect • Trust is lost between the authorities and health care organizations • Patient safety comprised
  • 9. © 2019 Minitab, Inc. 9 Criticalness of Data Quality
  • 10. © 2019 Minitab, Inc. 10 Criticalness of Data Quality σTotal 2= σPart to Part 2 + σMethod 2 + σTechnician 2 Number of parts in study 10 Number of operators in study 3 Number of replicates 2 Study Information study. variation. The process variation is estimated from the parts in the The measurement system variation equals 33,1% of the process Yes No 0% 10% 30% 100% 33,1% The measurement system variation equals 47,7% of the tolerance. Yes No 0% 10% 30% 100% 47,7% ReprodRepeatTotal Gage 45 30 15 0 30 10 %Study Var %Tolerance total variation in the process. This equals 84,9% of the measurement variation and is 28,1% of the variation that occurs when different people measure the same item. • Operator and Operator by Part components (Reproducibility): The variation in the process. equals 52,8% of the measurement variation and is 17,5% of the total when the same person measures the same item multiple times. This • Test-Retest component (Repeatability): The variation that occurs reproducibility to guide improvements: gage variation is unacceptable, look at repeatability and Examine the bar chart showing the sources of variation. If the total >30%: unacceptable 10% - 30%: marginal <10%: acceptable General rules used to determine the capability of the system: Variation by Source (Replicates: Number of times each operator measured each part) Comments Gage R&R Study for Quantity of Active Ingredient Summary Report Can you adequately assess process performance? Can you sort good parts from bad?
  • 11. © 2019 Minitab, Inc. 11 Criticalness of Data Quality ► This study consists of at least 50 trials where five reference samples are measured at least 10 times Constant 0,36734 0,03461 0,000 Slope -0,004958 0,004743 0,300 Predictor Coef SE Coef P Gage Linearity S 0,114299 R-Sq 1,8% Average 0,334617 0,000 2,2 0,362667 0,000 4,4 0,326000 0,000 6,6 0,345250 0,000 8,8 0,336083 0,000 11 0,303083 0,000 Reference Bias P Gage Bias Gage name: Date of study: Reported by: Tolerance: Misc: 12108642 0,8 0,6 0,4 0,2 0,0 Reference Value Bias 0 Regression 95% CI Data Avg Bias Gage Linearity and Bias Report
  • 12. © 2019 Minitab, Inc. 12 Criticalness of Data Quality • Often difficult to identify what is causing imprecision and bias. • Robustness is a requirement for method validation and some organizations run 2 level factorial experiments to determine which factors affect the bias and precision • Here there are 5 factors where a half fractional 2 level factorial design was run – that is 16 runs out of 32 possible treatment combinations 40 20 0,1-0,1 10 -10 20 -20 10-10 Column Tempearture Flow rate NH3 MeOH Acetic Acid Centerpoint Factorial Point Cube Plot Worksheet: Worksheet 5
  • 13. © 2019 Minitab, Inc. 13 Criticalness of Data Quality Term D BD BE E A CE DE AE BC C AB AC CD AD B 0,80,70,60,50,40,30,20,10,0 A Acetic Acid B MeOH C NH3 D Flow rate E Column Tempearture Factor Name Effect 0,6340 Pareto Chart of the Effects (response is stddev; α = 0,05) Worksheet: Worksheet 5 Lenth’s PSE = 0,246639 20-20 0,020 0,018 0,016 0,014 0,012 0,010 MeOH Meanofstddev Main Effects Plot for stddev Fitted Means Worksheet: Worksheet 5 Term E AB AE AC BC B DE BD C AD BE CD D CE A 0,100,080,060,040,020,00 A Acetic Acid B MeOH C NH3 D Flow rate E Column Tempearture Factor Name Effect 0,0161 Pareto Chart of the Effects (response is means; α = 0,05) Worksheet: Worksheet 5 Lenth’s PSE = 0,00625 10-10 0,850 0,825 0,800 0,775 0,750 Acetic Acid Meanofmeans Main Effects Plot for means Fitted Means Worksheet: Worksheet 5 Precision Bias
  • 14. © 2019 Minitab, Inc. 14 Criticalness of Data Quality Cur High Low D: 0,3555 Optimal Predict d = 1,0000 Targ: 0,80 y = 0,80 means d = 0,12638 Minimum y = 0,0087 stddev D: 0,3555 Desirability Composite -20,0 20,0 -10,0 10,0 MeOHAcetic A [-0,2660] [20,0] • Method Optimization
  • 15. © 2019 Minitab, Inc. 15 Criticalness of Data Quality 28252219161310741 9,3 9,2 9,1 9,0 Sample SampleMean __ X=9 UCL=9,0530 LCL=8,9470 28252219161310741 0,4 0,2 0,0 Sample SampleRange _ R=0,0518 UCL=0,1333 LCL=0 1 11 1 1 1 Worksheet: DensitéFilm.MTW At least one estimated historical parameter is used in the calculations. Xbar-R Chart 28252219161310741 9,2 9,1 9,0 Sample SampleMean __ X=9,0209 UCL=9,0809 LCL=8,9609 28252219161310741 0,2 0,1 0,0 Sample SampleRange _ R=0,0586 UCL=0,1509 LCL=0 11 1 1 Xbar-R Chart of process Worksheet: DensitéFilm.MTW Method Process
  • 16. © 2019 Minitab, Inc. 16 Overall /LT SD 151413121110987654321 9,10 9,05 9,00 8,95 subgroup process Individual Value Plot of process Worksheet: DensitéFilm.MTWWithin/ST SD Better understanding of the two different types of process variation Process Monitoring and Control
  • 17. © 2019 Minitab, Inc. 17 Process Monitoring and Control 151413121110987654321 9,050 9,025 9,000 SampleMean __ X=9,02458 UCL=9,06228 LCL=8,98688 151413121110987654321 0,16 0,08 0,00 SampleRange _ R=0,078 UCL=0,1563 LCL=0 15105 9,12 9,04 8,96 Sample Values 9,189,129,069,008,948,888,82 LSL 8,8 USL 9,2 Specifications LSL USL Overall Within 9,19,08,9 StDev 0,03173 Cp 2,10 Cpk 1,84 PPM 0,02 Within StDev 0,03723 Pp 1,79 Ppk 1,57 Cpm * PPM 1,23 OverallOverall Within Specs Process Capability Sixpack Report for process Worksheet: DensitéFilm.MTW Xbar Chart R Chart Last 15 Subgroups Capability Histogram Normal Prob Plot AD: 0,762, P: 0,046 Capability Plot Need to demonstrate that process mean and variation are stable Data relatively normal Moderately poor resolution
  • 18. © 2019 Minitab, Inc. 18 Fat Pencil Test • Large sample size drawn from normal population • Can lead to low p-value for AD test • Test is overly sensitive • Fat pencil test • Are able to assume the data is normal 5,02,50,0-2,5-5,0 99,99 99 95 80 50 20 5 1 0,01 Mean -0,02108 StDev 1,054 N 5000 AD 1,188 P-Value <0,005 T Distribution Percent Probability Plot of T Distribution Worksheet: SampleSize.MTW Normal
  • 19. © 2019 Minitab, Inc. 19 Capability Indices Cp • Potential Capability • (Voice of the Customer)/(Voice of the Process) LSL USL Voice of the Customer -3s +3s Customer Tolerance Voice of the Process
  • 20. © 2019 Minitab, Inc. 20 Capability Indices Customer Tolerance +3SD-3SD • FDA requires a Ppk of 1.33 as a minimum (when the process is not in control) • Defect rate 0.0032% USL LSL Ppk • Actual Capability • (Voice of the Customer)/(Voice of the Process)
  • 21. © 2019 Minitab, Inc. 21 Capability Indices USL LSL Customer Tolerance +3SD-3SD Cpk • Capability if process not recentered but variation reduced to within or potential standard deviation • (Voice of the Customer)/(Voice of the Process)
  • 22. © 2019 Minitab, Inc. 22 Non-normal data • Use of normal capability incorrectly • Capability sensitive to non- normality • Issues also with control charts when subgroup size is 1 363024181260-6 300 250 200 150 100 50 0 Mean 4,133 StDev 4,227 N 1500 Process dataFrequency Normal Histogram of Process Data
  • 23. © 2019 Minitab, Inc. 23 Causes of Non-normality • Data naturally non-normal • Example: Time • Outliers • Example: Unexpected sudden change • Measurement Resolution • Example: tape measure • Cluster at one value • Example: Impurities • Data from different sources • Example: different reactors • Shift and Drift • Example: process parameter changes or increasing bias in method used over time
  • 24. © 2019 Minitab, Inc. 24 Control Charts : Non-normal data
  • 25. © 2019 Minitab, Inc. 25 EWMA Charts 1361211069176614631161 25 20 15 10 5 0 Sample EWMA __ X=5,12 UCL=10,69 LCL=-0,45 EWMA Chart of Process Data • Robust to Non-Normality • Adapted to small shifts in the mean (for example 1 standard deviation) • Can be adjusted to modify sensitivity
  • 26. © 2019 Minitab, Inc. 26 Non-Normal Capability Analysis 2,1002,0251,9501,8751,8001,7251,650 LSL * Target * USL 2,1 Sample Mean 1,94735 Sample N 150 Location 1,99433 Scale 0,0822776 Process Data Pp * PPL * PPU 0,64 Ppk 0,64 Overall Capability % < LSL * % > USL 3,33 % Total 3,33 Observed Performance % < LSL * % > USL 2,70 % Total 2,70 Exp. Overall Performance USL Process Capability Report for Process Data Calculations Based on Smallest Extreme Value Distribution Model • The Ppk is based on the Z-score method (default in Minitab) • The expected defect rate is 2,7%
  • 27. © 2019 Minitab, Inc. 27 Non-Normal Capability Analysis - Zscore 0,4 0,3 0,2 0,1 0,0 X Density 1,927 0,0269898 0 Distribution Plot Normal; Mean=0; StDev=1 Worksheet: newexp2 Mean =0 Standard deviation = 1 • Z-score=(USL – Mean)/(overall standard deviation) • Ppk=(USL – Mean)/(3 X overall standard deviation) • Ppk = Z-score/ 3 • Ppk=Z-score/3=1.927/3=0.64
  • 28. © 2019 Minitab, Inc. 28 Non-Parametric Capability 28 0,900,750,600,450,300,150,00 USL Empirical Process Capability of C10 Using the Empirical Percentile Method Worksheet: newexp Process Data LSL USL Sample Median Sample Mean Sample StDev Sample N * 0,950000 0,491151 0,491744 0,292804 1200 Capability Indices Cnp Cnpl Cnpu Cnpk * * 0,910859 0,910859 Observed Performance PPM < LSL PPM > USL PPM Total * 48333,3 48333,3 • (Upper Spec Limit – 50th Percentile)/(99.5th Percentile– 50th Percentile) • The Non-Parametric Capability Statistic is 0.91
  • 29. © 2019 Minitab, Inc. 29 Conclusions • Continuous control of methods required • Ongoing stability studies • More application of Design of experiments • Better education required for Continuous Process Monitoring & Method Validation • Improve Statistical Knowledge • Understand how to treat non-normal data • Deal with data not following any particular underlying distribution
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