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September 2006 PQRI Training Course 1
Best Practices for OINDP Pharmaceutical Development Programs Leachables and Extractables
VIII. Quality Control and Specification Setting
PQRI Leachables & Extractables Working Group
PQRI Training CourseSeptember 20-21, 2006
Washington, DC
September 2006 PQRI Training Course 2
Definition ReviewDefinition Review
► A A Leachables StudyLeachables Study is a laboratory investigation is a laboratory investigation into the qualitative and quantitative nature of a into the qualitative and quantitative nature of a particular OINDP leachables profile(s) over the particular OINDP leachables profile(s) over the proposed shelf-life of the product. Supports:proposed shelf-life of the product. Supports: Developing an extractables/leachables correlationDeveloping an extractables/leachables correlation Establishment of drug product leachables acceptance Establishment of drug product leachables acceptance
criteria.criteria.► Routine Extractables Testing Routine Extractables Testing is the testing by which is the testing by which
OINDP container closure system critical OINDP container closure system critical components are qualitatively and quantitatively components are qualitatively and quantitatively profiled for extractables, for:profiled for extractables, for: Establishing extractables acceptance criteriaEstablishing extractables acceptance criteria Release by established acceptance criteria.Release by established acceptance criteria.
September 2006 PQRI Training Course 3
Control of Leachables Through Control of Leachables Through Control of ExtractablesControl of Extractables
► Specifications and acceptance criteria are Specifications and acceptance criteria are required for leachables profiles in OINDP.required for leachables profiles in OINDP.
► Implementation of routine leachables testing Implementation of routine leachables testing and specifications/acceptance criteria is a and specifications/acceptance criteria is a policy matter.policy matter.
► If extractables/leachables correlations can If extractables/leachables correlations can be established, then leachables be established, then leachables specifications/acceptance criteria may be specifications/acceptance criteria may be established as “established as “if tested will comply”if tested will comply”..
► Therefore, in the ideal situation leachables Therefore, in the ideal situation leachables can be controlled through routine testing of can be controlled through routine testing of extractables.extractables.
September 2006 PQRI Training Course 4
Routine Extractables TestingRoutine Extractables TestingPerformed on all critical components of OINDP container Performed on all critical components of OINDP container
closure systems with following general goals:closure systems with following general goals:
► To establish extractables acceptance criteria for OINDP To establish extractables acceptance criteria for OINDP critical container closure system components.critical container closure system components.
► To help ensure that the leachables profile in the drug To help ensure that the leachables profile in the drug product is maintained within appropriate limits.product is maintained within appropriate limits.
► To release OINDP container closure system critical To release OINDP container closure system critical components according to established acceptance components according to established acceptance criteria, which are designed to:criteria, which are designed to: Confirm the identities and levels of known extractables;Confirm the identities and levels of known extractables; Detect “unspecified” extractables which could be present as Detect “unspecified” extractables which could be present as
the result of component ingredient changes, manufacturing the result of component ingredient changes, manufacturing changes, external contamination, or other causes.changes, external contamination, or other causes.
September 2006 PQRI Training Course 5
Recommendations for Routine Recommendations for Routine Extractables TestingExtractables Testing
► Analytical methods for Routine Extractables Analytical methods for Routine Extractables Testing should be based on the analytical Testing should be based on the analytical technique(s)/method(s) used in the technique(s)/method(s) used in the Controlled Extraction Studies. Consider the Controlled Extraction Studies. Consider the following:following:
Simplicity relative to R&D methodsSimplicity relative to R&D methods Ruggedness and robustnessRuggedness and robustness TransferabilityTransferability Cost effectivenessCost effectiveness
September 2006 PQRI Training Course 6
Possibilities for Routine Extractables Possibilities for Routine Extractables Testing Analytical MethodsTesting Analytical Methods
►GravimetricGravimetric Potentially useful in combination with Potentially useful in combination with
other more sophisticated methods.other more sophisticated methods.►Bulk spectroscopic (e.g. UV, FTIR)Bulk spectroscopic (e.g. UV, FTIR)
Potentially useful in certain situations Potentially useful in certain situations (e.g. non-contact critical component)(e.g. non-contact critical component)
►Chromatographic (w/o MS or NMR)Chromatographic (w/o MS or NMR) Gas chromatography (FID, etc)Gas chromatography (FID, etc) Liquid chromatography (UV detection)Liquid chromatography (UV detection)
September 2006 PQRI Training Course 7
GC/MS Extractables Profile of an ElastomerGC/MS Extractables Profile of an Elastomer
5.00 10.00 15.00 20.00 25.00 30.00 35.000
200000
400000
600000
800000
1000000
1200000
1400000
1600000
1800000
2000000
2200000
2400000
2600000
2800000
3000000
3200000
3400000
T im e-->
A bundanc e
T IC : 07300307.D
Internal standard
September 2006 PQRI Training Course 8
Potential Routine Extractables Control Potential Routine Extractables Control Method – GC/FIDMethod – GC/FID
min5 10 15 20 25 30 35
pA
0
50
100
150
200
250
300
350
400
Internal standard
September 2006 PQRI Training Course 9
Potential Routine Extractables Control Potential Routine Extractables Control Method – HPLC/UVMethod – HPLC/UV
min0 2 4 6 8 10 12 14 16 18
mAU
0
25
50
75
100
125
150
175
DAD1 A, Sig=200,4 Ref=550,100 (I:\HPCHEM\1\DATA\022569\022569\JAN31008.D)
2-propanol (Reflux)
September 2006 PQRI Training Course 10
Routine Extractables Testing- Method Routine Extractables Testing- Method Development and Validation-ReferencesDevelopment and Validation-References
1.1. ICH Harominzed Tripartite Guideline, “Text on Validation of ICH Harominzed Tripartite Guideline, “Text on Validation of Analytical Procedures Q2A”, International Conference on Analytical Procedures Q2A”, International Conference on Harmonization of Technical Requirements for Registration of Harmonization of Technical Requirements for Registration of Pharmaceuticals for Human Use.Pharmaceuticals for Human Use.
2.2. ICH Harominzed Tripartite Guideline, “Validation of Analytical ICH Harominzed Tripartite Guideline, “Validation of Analytical Procedures: Methodology Q2B”, International Conference on Procedures: Methodology Q2B”, International Conference on Harmonization of Technical Requirements for Registration of Harmonization of Technical Requirements for Registration of Pharmaceuticals for Human Use.Pharmaceuticals for Human Use.
3.3. ““Reviewer Guidance – Validation of Chromatographic Reviewer Guidance – Validation of Chromatographic Methods”, Center for Drug Evaluation and Research (CDER), Methods”, Center for Drug Evaluation and Research (CDER), United States Food and Drug Administration, November, 1994.United States Food and Drug Administration, November, 1994.
4.4. ““Guidance for Industry – Analytical Procedures and Methods Guidance for Industry – Analytical Procedures and Methods Validation – Chemistry, Manufacturing, and Controls Validation – Chemistry, Manufacturing, and Controls Documentation”, Documentation”, Draft GuidanceDraft Guidance, Center for Drug Evaluation , Center for Drug Evaluation and Research (CDER), United States Food and Drug and Research (CDER), United States Food and Drug Administration, August, 2000.Administration, August, 2000.
5.5. Michael E. Swartz and Ira S. Krull, Michael E. Swartz and Ira S. Krull, Analytical Method Analytical Method Development and ValidationDevelopment and Validation, Marcel Dekker, Inc., New York, , Marcel Dekker, Inc., New York, 1997.1997.
September 2006 PQRI Training Course 11
Routine Extractables Testing- Method Routine Extractables Testing- Method Development and ValidationDevelopment and Validation
► Extraction procedures for critical Extraction procedures for critical components should be based on the components should be based on the optimized procedures from the quantitative optimized procedures from the quantitative Controlled Extraction StudiesControlled Extraction Studies Demonstrate asymptotic levels of extractables.Demonstrate asymptotic levels of extractables.
► The linear dynamic range of the analytical The linear dynamic range of the analytical method should be established based on method should be established based on levels of extractables anticipated from levels of extractables anticipated from quantitative quantitative Controlled Extraction StudiesControlled Extraction Studies
► The Limit-of-Quantitation of the method The Limit-of-Quantitation of the method should be established with consideration of should be established with consideration of the appropriate AET.the appropriate AET.
September 2006 PQRI Training Course 12
Routine Extractables Testing- Method Routine Extractables Testing- Method Development and Validation (cont.)Development and Validation (cont.)
► Method validated according to the ICH validation Method validated according to the ICH validation characteristics of a quantitative impurity test, characteristics of a quantitative impurity test, Include: Accuracy, Precision (Repeatability, Intermediate Include: Accuracy, Precision (Repeatability, Intermediate
Precision), Specificity, Limit-of-Quantitation (LOQ), Linearity, and Precision), Specificity, Limit-of-Quantitation (LOQ), Linearity, and Range. Range.
System Suitability parameters should be established System Suitability parameters should be established Robustness should be evaluatedRobustness should be evaluated Note that in certain cases it may be appropriate to validate Note that in certain cases it may be appropriate to validate
routine extractables methods as “Limit Tests”, in which case routine extractables methods as “Limit Tests”, in which case only Specificity and Limit-of-Detection (LOD) need be considered.only Specificity and Limit-of-Detection (LOD) need be considered.
► Accuracy can be determined through the analysis of Accuracy can be determined through the analysis of spiked samples.spiked samples. Spiking matrix could be an extract taken through the extraction Spiking matrix could be an extract taken through the extraction
procedure minus the component sample.procedure minus the component sample. Spiking levels should be chosen so as to be representative of Spiking levels should be chosen so as to be representative of
anticipated extractables levels based on results from anticipated extractables levels based on results from quantitative Controlled Extraction Studies.quantitative Controlled Extraction Studies.
September 2006 PQRI Training Course 13
Specifications and Acceptance Specifications and Acceptance Criteria for LeachablesCriteria for Leachables
► Leachables specifications should include a Leachables specifications should include a fully validated analytical test method. fully validated analytical test method.
► Acceptance criteria for leachables should Acceptance criteria for leachables should apply over the proposed shelf-life of the apply over the proposed shelf-life of the drug product, and should include:drug product, and should include: Quantitative limits for known drug product Quantitative limits for known drug product
leachables monitored during product registration leachables monitored during product registration stability studies.stability studies.
A quantitative limit for “new” or “unspecified” A quantitative limit for “new” or “unspecified” leachables not detected or monitored during leachables not detected or monitored during product registration stability studies.product registration stability studies.
September 2006 PQRI Training Course 14
Specifications and Acceptance Criteria Specifications and Acceptance Criteria for Leachablesfor Leachables
► Quantitative acceptance criteria should be based on Quantitative acceptance criteria should be based on leachables levels, and trends in leachables levels, leachables levels, and trends in leachables levels, observed over time and across various storage observed over time and across various storage conditions and drug product orientations during conditions and drug product orientations during product registration stability studies.product registration stability studies.
► Established with appropriate statistical analysis.Established with appropriate statistical analysis.► Comprehensive correlation should obviate the need Comprehensive correlation should obviate the need
for routine implementation of drug product for routine implementation of drug product leachables specifications and acceptance criteria, leachables specifications and acceptance criteria, assuming:assuming: Adequate information from critical component suppliersAdequate information from critical component suppliers Understanding and control of critical component fabricationUnderstanding and control of critical component fabrication Controlled Extraction Studies on critical components.Controlled Extraction Studies on critical components. Validated leachables methods and a Leachables Study.Validated leachables methods and a Leachables Study. Validated Routine Extractables Testing methods and Validated Routine Extractables Testing methods and
database of critical component extractables profiles.database of critical component extractables profiles. Appropriate specifications and acceptance criteria for Appropriate specifications and acceptance criteria for
extractablesextractables
September 2006 PQRI Training Course 15
Specifications and Acceptance Criteria Specifications and Acceptance Criteria for Extractablesfor Extractables
► Routine Extractables Testing should be Routine Extractables Testing should be performed on OINDP critical components prior performed on OINDP critical components prior to drug product manufacture. to drug product manufacture.
► Critical components should be released to Critical components should be released to drug product manufacture based on defined drug product manufacture based on defined specifications and acceptance criteria specifications and acceptance criteria established through:established through: Understanding of critical component Understanding of critical component
composition(s), ingredients, and composition(s), ingredients, and compounding/fabrication processes.compounding/fabrication processes.
Comprehensive Controlled Extraction Studies.Comprehensive Controlled Extraction Studies. A significant database of extractables profiles A significant database of extractables profiles
obtained with validated Routine Extractables obtained with validated Routine Extractables Testing methods.Testing methods.
A complete leachables/extractables correlation.A complete leachables/extractables correlation.
September 2006 PQRI Training Course 16
Specifications and Acceptance Specifications and Acceptance Criteria for ExtractablesCriteria for Extractables
►Acceptance criteria for OINDP critical Acceptance criteria for OINDP critical component extractables can include component extractables can include the following:the following: Confirmation of extractables identified in Confirmation of extractables identified in
Controlled Extraction Studies.Controlled Extraction Studies. Quantitative limits for extractables Quantitative limits for extractables
identified in Controlled Extraction Studies.identified in Controlled Extraction Studies. A quantitative limit for ”new” or “ A quantitative limit for ”new” or “
unspecified” extractables not detected unspecified” extractables not detected during Controlled Extraction Studies.during Controlled Extraction Studies.
September 2006 PQRI Training Course 17
Establishing Specifications:Establishing Specifications: Widgets vs. Pills Widgets vs. Pills
► Rest of World Rest of World (Planes, (Planes,
Trains & Automobiles…)Trains & Automobiles…)
Known requirements Known requirements that must be met to that must be met to insure product insure product performanceperformance
Establish that Establish that process is capable of process is capable of meeting meeting requirementsrequirements
► PharmaceuticalsPharmaceuticals
Vaguely known Vaguely known requirements (vs requirements (vs product product performance)performance)
Establish Establish requirements from requirements from vaguely known vaguely known process capabilitiesprocess capabilities
September 2006 PQRI Training Course 18
Statistical Tools Related to Statistical Tools Related to SpecificationsSpecifications
► Process Capability & Performance AnalysisProcess Capability & Performance Analysis Statistical evaluation of process variability with Statistical evaluation of process variability with
respect to limitsrespect to limits Typically includes both process and Typically includes both process and
measurement variabilitymeasurement variability
► Operating Characteristic CurvesOperating Characteristic Curves Statistical evaluation of decision making process Statistical evaluation of decision making process
related to an individual testrelated to an individual test Considers influence of different test structures: Considers influence of different test structures:
numbers of samples, average vs. individuals, numbers of samples, average vs. individuals, tiered testing…tiered testing…
September 2006 PQRI Training Course 19
Types of Quality InspectionsTypes of Quality Inspections► Inspection by AttributesInspection by Attributes
Defect testing (pass/fail by unit)Defect testing (pass/fail by unit)Visual inspection of containers for foreign material or defectsVisual inspection of containers for foreign material or defectsSpray test of MDIsSpray test of MDIs
► Inspection by Variables Inspection by Variables Estimation of Batch Parameters (central Estimation of Batch Parameters (central
tendency, variability)tendency, variability)HPLC Assay of tablets for active ingredientHPLC Assay of tablets for active ingredientDelivered Dose Uniformity of an MDIDelivered Dose Uniformity of an MDIContent Uniformity of a tabletContent Uniformity of a tabletLeachable/extractable testingLeachable/extractable testing
September 2006 PQRI Training Course 20
What we would like to have to What we would like to have to establish/verify acceptance criteria:establish/verify acceptance criteria:
September 2006 PQRI Training Course 21
What we typically have to What we typically have to establish acceptance establish acceptance
criteria:criteria:
Impurity X
0.24
0.07
0.15
ND
September 2006 PQRI Training Course 22
Performance of Limits Established Performance of Limits Established with Small Datasetswith Small Datasets
Fraction of Results Complying with Limits1.00.80.60.40.20.0
100
80
60
40
20
0
Variable
n=7n=8n=9n=10n=20
n=3n=4n=5n=6
Robustness of Establishing Acceptance Criteria with Small Datasets(limits established via +/- 3 standard deviations)
Ris
k of
obt
aini
ng li
mits
wor
se
than
the
ass
ocia
ted
com
plia
nce
rate
September 2006 PQRI Training Course 23
Comparison of Different Comparison of Different Approaches to Setting LimitsApproaches to Setting Limits
Fraction of Results Complying with Limits1.00.90.80.70.60.50.40.30.20.1
100
80
60
40
20
0
Variablep(accept) 3 stdp(accept) min/maxp(accept) 95/95p(accept) 99/99
Comparison of Different Approaches to Establishing Limits
Ris
k of
obt
aini
ng li
mits
wor
se
than
the
ass
ocia
ted
com
plia
nce
rate
n=7
September 2006 PQRI Training Course 24
Process CapabilityProcess Capability
► Several different ‘Capability Indices’ existSeveral different ‘Capability Indices’ exist► Designed to show whether process+measurement Designed to show whether process+measurement
are capable of meeting limitsare capable of meeting limits
Cp=(USL-LSL)/6σCp=(USL-LSL)/6σww
Cpk=Min{[(USL-Avg)/3σCpk=Min{[(USL-Avg)/3σww],[(Avg-LSL)/ 3σ],[(Avg-LSL)/ 3σww]]}}
► Minimum Cpk of 1.33 expected for new processMinimum Cpk of 1.33 expected for new process► Cp ~ Cpk when process is ‘centered’Cp ~ Cpk when process is ‘centered’► Above is for two-sided limit, for a one-sided limit Cp Above is for two-sided limit, for a one-sided limit Cp
is meaningless and Cpk considers only the range to is meaningless and Cpk considers only the range to the specified limitthe specified limit
September 2006 PQRI Training Course 25
Process PerformanceProcess Performance
► Several different ‘Performance Indices’ existSeveral different ‘Performance Indices’ exist► Designed to show process+measurement Designed to show process+measurement
performance relative to limitsperformance relative to limitsPp=(USL-LSL)/6σPp=(USL-LSL)/6σ
Ppk=Min{[(USL-Avg)/3σ],[(Avg-LSL)/ 3σ]Ppk=Min{[(USL-Avg)/3σ],[(Avg-LSL)/ 3σ]}}
► Minimum Ppk of 1.33 expected for new processMinimum Ppk of 1.33 expected for new process► Ppk ~ Cpk when no ‘special cause’ source of errorPpk ~ Cpk when no ‘special cause’ source of error► Above is for two-sided limit, for a one-sided limit Pp Above is for two-sided limit, for a one-sided limit Pp
is meaningless and Ppk considers only the range to is meaningless and Ppk considers only the range to the specified limitthe specified limit
September 2006 PQRI Training Course 26
September 2006 PQRI Training Course 27
Quality Decisions: Possible Outcomes and
Consequences
True Situation
Decision
Batch is of Acceptable Quality
Batch is not of Acceptable Quality
Accept Batch
Correct Decision
Type II error (β) (‘consumer’s risk’)
Reject Batch
Type I error (α) (‘producer’s risk’)
Correct Decision
Designing & Evaluating Test Designing & Evaluating Test Structures: Operating Characteristic Structures: Operating Characteristic
CurvesCurves
September 2006 PQRI Training Course 28
Quality Standards vs. Quality Standards vs. Acceptance CriteriaAcceptance Criteria
Quality Standard:Quality Standard:► All units must have an All units must have an
assay greater than 95%assay greater than 95%
Test Acceptance Criteria:Test Acceptance Criteria:► Assay of 2 of 2 Samples Assay of 2 of 2 Samples
must be between 98-must be between 98-102%102%
Quality standard should Quality standard should drive acceptance drive acceptance criteria and test criteria and test structurestructure
OCCs used in this contextOCCs used in this context
September 2006 PQRI Training Course 29
Operating Characteristic Operating Characteristic CurvesCurves
► Used to characterize the statistical qualities of Used to characterize the statistical qualities of the decision making process associated with a the decision making process associated with a particular test’s structure/formparticular test’s structure/form Test structure/form includes: numbers of samples, Test structure/form includes: numbers of samples,
limits, tiers, decision process flow, quaniti(es) limits, tiers, decision process flow, quaniti(es) compared to limit compared to limit
► Comment on the ability of the test structure to Comment on the ability of the test structure to discriminate between acceptable and discriminate between acceptable and unacceptable ‘batches’unacceptable ‘batches’
► Allows estimation of type I & II error ratesAllows estimation of type I & II error rates risk of failing an acceptable batch risk of failing an acceptable batch risk of passing an unacceptable batchrisk of passing an unacceptable batch
September 2006 PQRI Training Course 30
Operating Characteristic Operating Characteristic CurvesCurves
►Plot of the probability of acceptance Plot of the probability of acceptance (or rejection) vs. the quality variable(or rejection) vs. the quality variable P(accept) vs. true batch meanP(accept) vs. true batch mean P(accept) vs. true batch standard P(accept) vs. true batch standard
deviationdeviation P(accept) vs. true % defectsP(accept) vs. true % defects
►Constructed using the appropriate Constructed using the appropriate cumulative density probability cumulative density probability distributiondistribution
September 2006 PQRI Training Course 31
Ideal OC CurvesIdeal OC Curves
True Mean (of Batch)
Pro
bability
of A
ccepta
nce
1501251007550
1.0
0.8
0.6
0.4
0.2
0.0
Ideal Operating Characteristic CurveTwo-Sided Limit (85-115)
0.0
0.2
0.4
0.6
0.8
1.0
Pro
bability
of R
eje
ction
True Mean (of Batch)
Pro
bability
of A
ccepta
nce
11010090807060
1.0
0.8
0.6
0.4
0.2
0.0
Ideal Operating Characteristic CurveOne-Sided Limit (>85)
Pro
bability
of R
eje
ction
0.0
0.2
0.4
0.6
0.8
1.0
True Std. Dev. (of Batch)
Pro
bability
of A
ccepta
nce
543210
1.0
0.8
0.6
0.4
0.2
0.0
Ideal Operating Characteristic Curve
Pro
bability
of R
eje
ction
Variability Limit (std. dev. <2.5)
0.0
0.2
0.4
0.6
0.8
1.0
September 2006 PQRI Training Course 32
Typical OC CurvesTypical OC Curves
True Mean (of Batch)
Pro
bability
of A
ccepta
nce
1.0
0.8
0.6
0.4
0.2
0.0
Real Operating Characteristic Curve
0.0
0.2
0.4
0.6
0.8
1.0
Pro
bability
of R
eje
ction
True Std. Dev. (of Batch)
Pro
bability
of A
ccepta
nce
1.0
0.8
0.6
0.4
0.2
0.0
Real Operating Characteristic Curve
Pro
bability
of R
eje
ction
Variability Limit
0.0
0.2
0.4
0.6
0.8
1.0
True Mean (of Batch)
Pro
bability
of A
ccepta
nce
1.0
0.8
0.6
0.4
0.2
0.0
Real Operating Characteristic Curve
Pro
bability
of R
eje
ction
0.0
0.2
0.4
0.6
0.8
1.0
September 2006 PQRI Training Course 33
0
0.2
0.4
0.6
0.8
1 0
0.2
0.4
0.6
0.8
1
70 80 90 100 110 120 130
True Mean
p(a
ccep
t) P(reject)
Lim iting Q ua lity
Risk o f a c c e p tinguna c c e p ta b le lo t
Risk o f re je c tinga c c e p ta b le lo t
Risks Assoc ia te d with Te stingin Re la tion to O p era ting C ha ra c te ristic C urve
September 2006 PQRI Training Course 34
Process for Constructing OC Curves: Process for Constructing OC Curves:
p(accept) vs. Meanp(accept) vs. Mean ► Need model probability distribution for individual Need model probability distribution for individual
measurementsmeasurements► Need estimate of standard deviationNeed estimate of standard deviation
Curve is for an assumed standard deviation of the Curve is for an assumed standard deviation of the individual measurementsindividual measurements
► Calculate probability to accept for a given value of Calculate probability to accept for a given value of the mean from the appropriate cumulative density the mean from the appropriate cumulative density probability distribution based on the test constructprobability distribution based on the test construct
► Alternatively can estimate through numeric Alternatively can estimate through numeric approachapproach
► Repeat over range of means of interestRepeat over range of means of interest
September 2006 PQRI Training Course 35
Influence of Different Test Influence of Different Test Designs on the OC CurveDesigns on the OC Curve
►Tests Designed to Control MeanTests Designed to Control Mean Vary n, set requirement on sample meanVary n, set requirement on sample mean Vary n, set requirement on individual Vary n, set requirement on individual
valuesvalues Influence of acceptance criteriaInfluence of acceptance criteria
September 2006 PQRI Training Course 36
Control on Batch MeanControl on Batch MeanImprovement in OC Curve as Sample Size IncreasesImprovement in OC Curve as Sample Size Increases
Acceptance Criteria: Sample Mean > 100Acceptance Criteria: Sample Mean > 100
80 90 100 110 120
0.0
0.5
1.0
true mean
p(a
ccep
t) n=1
n=9
n=3
n=5
n=71.0
0.0
p(reject)
September 2006 PQRI Training Course 37
Control on Batch MeanControl on Batch MeanEffect on OC Curve as Sample Size IncreasesEffect on OC Curve as Sample Size Increases
for n of n Requirement for n of n RequirementAcceptance Criteria: n of n > 100Acceptance Criteria: n of n > 100
80 90 100 110 120
0.0
0.5
1.0
true mean
p(a
ccep
t) p(reject)
n=1
n=3
n=5
n=7
n=9
0.0
1.0
September 2006 PQRI Training Course 38
Relationship of OC Curve to Relationship of OC Curve to Specification Limits (one sided)Specification Limits (one sided)
September 2006 PQRI Training Course 39
Relationship of OC Curve to Relationship of OC Curve to Specification Limits (two sided)Specification Limits (two sided)
0
0.2
0.4
0.6
0.8
1 0
0.2
0.4
0.6
0.8
1
60 70 80 90 100 110 120 130 140
true mean
P(ac
cept
)
80-120
85-115
90-110
95-105
P(reject)
September 2006 PQRI Training Course 40
Conclusions & Final ThoughtsConclusions & Final Thoughts
►Appropriate L&E testing schemes Appropriate L&E testing schemes should reflect:should reflect: In-depth understanding of component In-depth understanding of component
composition and the L&E characteristics composition and the L&E characteristics of the product/componentof the product/component
Thoughtful selection of critical testsThoughtful selection of critical tests Robust validated methodsRobust validated methods Statistical design and evaluation of tests Statistical design and evaluation of tests
and acceptance criteriaand acceptance criteria