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Control Charts for CPV – A Pharma Perspective
Maneesha Altekar, Principal Statistician, AstraZeneca MBSW Conference, May 22-24, 2017, Muncie, IN
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Overview Why use Control Charts? Type of Data vs Type of Control Chart
Calculating Limits Responding to Signals - Western Electric Rules Challenges
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Overview Why use Control Charts? Type of Data vs Type of Control Chart
Calculating Limits Responding to Signals - Western Electric Rules Challenges
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Background 2011 FDA Guidance on Process Validation, EU Annex 15
Demonstrate that the validated process continues to remain in a validated state – Continued Process verification (CPV) Emphasis on the use of statistical methods
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Control Charts Statistical analysis methodology, used for CPV
Visually monitor process over time against established limits Ensure that it is stable and in statistical control Exhibits only common cause variability React to real changes in the process Not over-react to minor changes that are part of routine variation
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Control Charts Control Chart displaying only Common Cause Variation
Control Chart displaying Special Cause Variation
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Requires adjustments to how we implement control charts
CPV Implementation Put control of monitoring process in the hands of process owners, not statisticians – this is key! Make it simple to execute and interpret Facilitate decision making Requires adjustments to how we implement control charts So in the context of CPV implementation, Our goal is to . . .
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Control Charts – assumptions
Process stable Data are normally distributed (for X, X-bar, etc) Data are identically and independently distributed Monitored in real time Not often met in pharmaceutical data! And hence, the need to look at control charts with a different lens. Let’s look at various aspects of control charts and how we might treat them differently
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Overview Why use Control Charts? Type of Data vs Type of Control Chart
Calculating Limits Responding to Signals - Western Electric Rules Challenges
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Data Type vs Control Charts
Data can be continuous or discrete Continuous – assay, dissolution, tablet weight Discrete – number of defects, proportion defective Not all control charts apply to all types of data But sometimes, we may be able to get away with an “incorrect” chart What kind of data do we see in the pharmaceutical industry?
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Control Charts – Continuous Data
X-Bar and R charts (Normal dist) Multiple measurements (reported values) per batch Batch means, range, Example, tablet weights, dissolution, CU X and MR chart (Normal dist) Single measurement (reported value) per batch Example, water content, pH, assay
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Control Charts – Discrete Data
P chart Proportion of defective units (Binomial dist) NP chart Number of defective units (Binomial dist) C chart Number of defects (Poisson dist) U chart Number of defects per unit (Poisson dist)
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Control Charts Month Defects Jan 12 1 May 13 2 Feb 12 June 13 Mar 12
Mar 12 Jul 13 Apr 12 Aug 13 May 12 Sep 13 Jun 12 Oct 13 Jul 12 Nov 13 Aug 12 Dec 13 Sep 12 Jan 14 Oct 12 Feb 14 Nov 12 Mar 14 Dec 12 Apr 14 Jan 13 May 14 Feb 13 Jun 14 Mar 13 Jul 14 Apr 13 Aug 14
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Control Charts Correct chart Common mistake
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Normality can sometimes be approximated
I Chart Good Enough
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Overview Why use Control Charts? Type of Data vs Type of Control Chart
Calculating Limits Responding to Signals - Western Electric Rules Challenges
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Creating Control Charts Calculating Limits
Legacy products Process history, historical data Use most recent data – batches Capture short term and long term variability Trend data Is it stable? If not, is there a root cause? Should any data be excluded? Some special cause variation is expected Are there outliers? Should we exclude them? We know there is nothing magical about 30, it could be 29 or even 25. But handing off this process to practitioners, it is helpful to provide a number, with the understanding that there can be some flexibility
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Creating Control Charts Calculating Limits
Look at histogram Are data normally distributed? Are data approximately normally distributed? Calculate limits based on historical mean and SD Let’s look at some examples
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Control Charts
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Control Charts
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Control Charts
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Control Charts Let’s now look at how we would view the process differently for a new product
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Control Chart – Assumption of Normality
X-bar, Individual charts – assume normality Can test for normality but . . . Test is sensitive to number of samples Too small => everything will pass normality test Too large => even known normal data will fail normality if there is an outlier or two Practical approach – assume normality for tests that are known to be normal, e.g., assay, CU, tablet weight Look at histograms to check for extreme/unusual values How about normality?
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Control Chart – Assumption of Normality
If data truly non-normal Consider transformation Interpretation can be difficult Use chart appropriate for underlying distribution, if known Simply trend and track visually For example, degradant products Keep specification in mind
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Creating Control Charts Calculating Limits
New products No process history, limited data Trend and track only – no limits Monitor data visually Calculate limits once 30 batches are available Preliminary limits Similar considerations as before but less rigorous Update when additional data available
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Control Charts – Calculating Limits
New products Common mistake - monitoring current data with limits calculated based on current data!
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Overview Why use Control Charts? Type of Data vs Type of Control Chart
Calculating Limits Responding to Signals - Western Electric Rules Challenges
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Interpreting Control Charts Responding to Signals
Western Electric rules - Decision rules for detecting an out-of-control process Look for patterns in data A few key ones A single result outside the +/- 3σ limits 2 out of 3 consecutive results outside the 2σ limits, on the same side of the mean 8 consecutive points on the same side of the mean 6 consecutive results increasing (or decreasing) Use only 2 or 3 that are most meaningful to the process; using too many increases the risk of false positive signals.
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Processes are rarely truly stable
Batch results are rarely independently and identically distributed Many charts assume underlying normal distribution; data are not always normal
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Limited ability to react in real time!
Batches are often not tested for days after manufacture Many more batches produced in the interim Batches tested in order different from manufacturing Signals often observed only during periodic review Limited ability to react in real time! So we need to be smart about how we interpret signals. Let’s look at some examples.
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React to this signal? Is this rule useful? React to this signal?
Typically include 1or 2 previous review periods during the current review. The answer is “it depends”.
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Control Chart – Assumption of Independence
Batches often manufactured in campaigns Example, based on lots of raw material Testing often done in groups Example, multiple batches may be simultaneously tested for assay in the HPLC May see patterns in data related to above rather than true lack-of control
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Control Chart – Assumption of Independence
By manufacturing date By testing date
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Control Chart – Assumption of Normality
X-bar, Individual charts – assume normality Can test for normality but . . . Test is sensitive to number of samples Too small => everything will pass normality test Too large => even known normal data will fail normality if there is an outlier or two Practical approach – assume normality for tests that are known to be normal, e.g., assay, CU, tablet weight Look at histograms to check for extreme/unusual values We have already talked about normality
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Control Charts – Response to Signals
Risk based approach Signals should trigger a response But, response should be commensurate with risk – to patient, process So, now that we have established control charts with limits, have selected the rules we want to follow, how do we now respond to signals?
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Control Charts
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Control Charts – Response to Signals
All signals need not be classified as “deviations” All signals should not lead to full scale investigations Mindset change for QA organizations
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Overview Why use Control Charts? Type of Data vs Type of Control Chart
Calculating Limits Responding to Signals - Western Electric Rules Challenges There are challenges to implementing control charts in the pharma industry. But there are also challenges on a “people” level
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Challenges Training provided to staff implementing CPV
Difficult to proceduralize a trained statistician’s thought process and insights “Number of batches needed” taken too literally Failure to appreciate limitation of reported (rounded) test results for analysis Continued coaching / mentoring needed until proficient
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Summary Control charts are an important tool for CPV and help us
monitor processes understand variability demonstrate that process remains stable and in statistical control Control chart may need to be looked at differently for pharmaceutical manufacturing Risk based assessment Easing of assumptions Flexibility in implementation
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