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JenniferMarcello,
SeniorBiostatistician
• Jennifer has experience in statistical planning, analysis, and reporting
for Phase 1, 2 and 3 clinical trials. Her research experience includes
over 5 years of experience working on clinical trials in oncology
including brain, skin, lung, breast, head and neck, and colorectal
cancers. In addition to oncology, she has experience in clinical trials for
palliative care, hepatitis, HIV, Alzheimer’s disease, anti-infectives, and
pain. Jennifer is trained in writing detailed statistical analysis plans,
performing sample size computation, preparing statistical analysis
specifications of analysis databases, developing summary displays
including summary tables for integrated safety and efficacy data,
utilizing SAS® software for programming and analysis of clinical data,
and providing ongoing safety evaluations for data monitoring
committees. She also has experience in analyzing quality of life data,
nutrition data and other patient reported outcomes.
Agenda
 Clinical Trial Study Flow
 Planning Your Trial
 Sample Size and Power
 Data Capture
 Randomization
 Statistical Analysis Plan
 Interim Analyses
 Database Lock
 Final Analyses
 CSR
When do I
need a
statistician?
Clinical Trial Study Flow
CSR
Displays
Analysis Datasets
SAP
CRF
Randomization Scheme
Protocol
Study Planning
Planning Your Trial
What is
our goal?
What data
do we
collect?
How do
we test
them?
Planning Your Trial - Example
• OA of the kneeIndication:
• Show our product is better
than placeboGoal:
• Pain by VAS on 50 foot walk
test, multiple collection times
Data to
collect:
Statistical Review- Example
• OA of the knee unilateral, bilateral, age?Population:
• ContinuousType of data:
• Repeated Measures
Number of time
points:
• LS Means Difference based on Repeated
Measures Population Average ModelTest:
• Unilateral vs. Bilateral, Missing DataSensitivity:
Planning Your Trial –
Blinding/Masking
Single
Blinding
• The participant doesn’t know to which intervention
they have been assigned.
Double
Blinding
• The participant and the investigator don’t know to
which intervention the participant has been
assigned.
Triple
Blinding
• The participant, investigator, and monitoring
committee do not know to which intervention the
participant is assigned.
Planning Your Trial –
Blinding/Masking
Advantages
• Decrease bias
• Participant response
not influenced by
knowledge of
treatment
• [DB] Investigator
preconception does
not matter
Disadvantages
• Patient consent
• Another layer of
complexity
• [TB]Patient safety
• Can the study really
be blinded?
Study Populations
Who do you want in your study?
• Inclusion & Exclusion criteria
Ensure that statistical inference can be made
to targeted market population
• Safety Analysis Set
• Full analysis sets (ITT Population)
• Per Protocol
• Depending on draft guidance, Clinically evaluable
Sample Size and Power
• TOO SMALL
• NOT ADEQUATE TO ADDRESS QUESTIONS
• TOO LARGE
• WASTED TIME, RESOURCES, AND MONEY
• POTENTIALLY EXPOSE PTS TO INEFFECTIVE TRT
 2 Basic Approaches
• Power of a hypothesis test (most common)
• Precision
Sample Size and Power
• Sample size calculation depends on:
• Planned analysis method/ hypothesis
• Clinically significant difference/ effect size
• α:Type I error
• β:Type II error
• σ: standard deviation
• Other considerations
• Cost
• Expected dropout rate
Sample Size and Power
Standard
Deviation
Power Desired
Acceptable Error
Clinically Significant Difference
Power Desired
Cost
Hypothesis Testing
Study comparing Drug X to placebo in lowering pain due
to osteoarthritis of the knee.
• The null hypothesis, H0, is the hypothesis to be tested.
H0: μdrug = μplacebo
• The alternative hypothesis, Ha, is the hypothesis which contradicts
the null hypothesis.
Ha: μdrug ≠ μplacebo
Possible Outcomes
of Hypothesis Tests
Correct
decision
Type II error
(β)
Type I error (α)
Correct
decision
True State of Nature
H0 true H0 false
Decision
RejectH0FailtorejectH0
False
negative
False
positive (H0 = null hypothesis)
SMOKE ALARM SYSTEM
Correct decision Type II error (β)
Type I error (α) Correct decision
No Fire Fire
AlarmNoAlarm
False
negative
False
positive
Sample Size and Power
The lower the
allowable error,
the bigger the
sample size
REMEMBER:
Sample Size and Power
The higher
the power,
the bigger the
sample size
REMEMBER:
Sample Size and Power
The bigger the
standard
deviation, the
bigger the
sample size
REMEMBER:
Sample Size and Power
The bigger the
clinically significant
difference, the
smaller the sample
size
REMEMBER:
Sample Size and Power
All differences can be
“statistically
significant” if you have
enough subjects,
power only for your
clinically significant
difference!
REMEMBER:
Statistical Significance
• Informally, a p-value is the probability under a
specified statistical model that a statistical summary
of the data (for example, the sample mean difference
between two compared groups) would be equal to or
more extreme than its observed value.
Ronald L. Wasserstein & Nicole A. Lazar (2016): The ASA's statement on p-values: context,
process, and purpose, The American Statistician, DOI: 10.1080/00031305.2016.1154108
Statistical Significance
• If p-value > α, we fail to reject the null
hypothesis, and the result is considered
statistically insignificant
• If p-value ≤ α, we reject the null hypothesis,
and the result is considered statistically
significant
Type I Error Rate Control
• Multiple looks (Unmasked/Unblinded
interim analyses)
• Multiple comparisons (More than one
primary hypothesis/endpoint)
Data Capture
CRF design is integral to capturing the data you
need for a successful analysis.
Statisticians need to participate in CRF design
to make sure assessments align with analyses!
It’s VERY difficult to go back and obtain data
after the fact!
Will this study be part of a submission?
• CDASH
(CRF=Case Report Form)
Data Capture – Missing Data
• Potential source of bias
• Minimize through protocol design
• Consult guidance, literature, and your
statistician for candidate methods for analysis
• Define and justify the proposed method
• Communicate with client and the internal team
See:
O’Neill, R and Temple, R. “The Prevention and Treatment
of Missing Data in Clinical Trials: An FDA Perspective on
the Importance of Dealing With It.” Clin Pharmacol Ther.
2012 Mar, 91(3); 550-4.
Clinical Data Standards
• Clinical Data Interchange Standards
Consortium (CDISC)
– Clinical Data Acquisitions Standard Harmonization
(CDASH) -> data collection
– Study Data Tabulation Model (SDTM) -> ‘raw’ data
– Analysis Dataset Model (ADaM) -> analysis ready
data
www.cdisc.org
Randomization
Reasons
• Reduction of bias
• Sound statistical basis for evaluation
• Produces treatment groups in which
the distributions of prognostic factors,
known and unknown, are similar
Randomization - Types
Simple Randomization
Like flipping a coin
Pro: Easy!
Con: You could randomize everyone to the same
group
Randomization - Types
Permuted Block Randomization
Randomized by block
Pro: Balance across intervention arms
Con: If you know the block size (and it’s small),
you may be able to guess the next treatment
Block 1 2 3 4 5 6 7 8 9
Treatments ABC CBA CAB BCA ACB ACB ABC CAB BCA
Randomization - Types
Stratified Randomization
If a key factor may affect how an intervention works in
a particular group, stratify by that factor.
Can combine this method with permuted block for
balance:
Permuted block stratified by baseline pain:
Moderate pain: AABB ABAB BBAA
Severe pain: ABAB BBAA BABA
3 blocks
of size 4
3 blocks
of size 4
Statistical Analysis Plan
• What data will we use?
• Which participants will be included?
• Exactly how will we analyze?
• Factors affecting analysis?
Gets down to the nuts and
bolts of the statistical
analyses
Statistical Analysis Plans
• Descriptive Statistics
• T – test and Non-
parametric Test (Wilcoxon
Test)
• ANOVA and ANCOVA
• Linear Regression
• Linear Mixed Models
Continuous
Outcomes
• Descriptive Statistics
• χ2 / Fisher’s Exact Test
• CMH test, Odds Ratio,
Relative Risk
• McNemar’s, Agreement
(Kappa)
• Logistic Regression
• Poisson Models
Categorical
Outcomes
Statistical Analysis Plans
• Kaplan Meier
• Log Rank Test
• Survival Rates
• Poisson Models
• Cox Proportional
Hazard Models
Survival
Analysis
• Pattern Mixture
Models
• Missing Data
Imputation Methods
• LOCF
• BOCF
• Multiple Imputation
Sensitivity
Analyses
Interim Analyses
• Is an interim analysis planned?
• What is the purpose of the interim analysis?
• Interim analysis timing and frequency
• Is an unblinded interim team needed?
• What is the data cleaning process for the
interim analysis?
• How does this affect α?
Interim Analyses - IDMC/DSMB
• SafetyPurpose
• Based on outcome and safety concerns
Timing and
Frequency
• Possible, not always necessaryUnmasked Team
• Interim database locks, snapshotsData Cleaning
• No efficacy dataAffected α?
Interim Analyses – Sample Size
Recalculation
• Ensure necessary sample size based on
SD assumptionsPurpose
• Usually just once
Timing and
Frequency
• Not necessaryUnmasked Team
• Interim database locksData Cleaning
• Not if performed in a pooled SD
adjustmentAffected α?
Interim Analyses – Stopping Rules
• EfficacyPurpose
• Based on primary outcomeTiming and
Frequency
• RequiredUnmasked Team
• Interim database locksData Cleaning
• Yes, if study continuesAffected α?
Interim Analyses – Adaptive
Designs
• EfficacyPurpose
• Based on primary outcome
Timing and
Frequency
• Usually, based on arms involvedUnmasked Team
• Interim database locksData Cleaning
• Yes, but not usually well controlled studies
(Phase I or II)Affected α?
Example: Pruning
Database Lock and Unmasking
• All analysis plans
should be complete
• Per-Protocol
population selection
• Statistician sign off
• Data quality
• Missing data?
• Unmasking
Final Analyses
• Hypothesis Testing
• Primary/Secondary Outcomes
• Safety Reporting
• Missing Data?
Clinical Study Report
• Statistical Reporting
• Primary Endpoint Discussion
• What does it all mean??
Summary
• Determining trial objectives and corresponding
endpoints, primary and secondary, is important initial
step.
• The type of trial should be aligned with sponsor’s
clinical plan.
• Determining the sample size early is very important to
the projected cost for running the trial.
• Statistical parts of the protocol serve as starting point
for all remaining activities.
• Emphasis on design and statistical principles protects
the study from bias by specifying the analysis methods
a priori.
References
• ICH-E3: Structure and Content of CSRs
• ICH-E6:Good Clinical Practice: Consolidated Guidance
• ICH-E9: Statistical Principles for Clinical Trials
• ICH-E10: Choice of Control Group and Related Issues in Clinical
Trials
• FDA Guidance for Industry: Various Indications
• National Academy of Science Missing Data Guidance
• “Statistical Reasoning in Medicine: The Intuitive P-Value Primer” –
Lemuel A. Moyé
• “Fundamentals of Clinical Trials” - Lawrence M. Friedman and Curt
D. Furberg
Contact Us
www.rhoworld.com
info@rhoworld.com
919-408-8000

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Clinical Research Statistics for Non-Statisticians

  • 1.
  • 2. JenniferMarcello, SeniorBiostatistician • Jennifer has experience in statistical planning, analysis, and reporting for Phase 1, 2 and 3 clinical trials. Her research experience includes over 5 years of experience working on clinical trials in oncology including brain, skin, lung, breast, head and neck, and colorectal cancers. In addition to oncology, she has experience in clinical trials for palliative care, hepatitis, HIV, Alzheimer’s disease, anti-infectives, and pain. Jennifer is trained in writing detailed statistical analysis plans, performing sample size computation, preparing statistical analysis specifications of analysis databases, developing summary displays including summary tables for integrated safety and efficacy data, utilizing SAS® software for programming and analysis of clinical data, and providing ongoing safety evaluations for data monitoring committees. She also has experience in analyzing quality of life data, nutrition data and other patient reported outcomes.
  • 3. Agenda  Clinical Trial Study Flow  Planning Your Trial  Sample Size and Power  Data Capture  Randomization  Statistical Analysis Plan  Interim Analyses  Database Lock  Final Analyses  CSR When do I need a statistician?
  • 4. Clinical Trial Study Flow CSR Displays Analysis Datasets SAP CRF Randomization Scheme Protocol Study Planning
  • 5. Planning Your Trial What is our goal? What data do we collect? How do we test them?
  • 6. Planning Your Trial - Example • OA of the kneeIndication: • Show our product is better than placeboGoal: • Pain by VAS on 50 foot walk test, multiple collection times Data to collect:
  • 7. Statistical Review- Example • OA of the knee unilateral, bilateral, age?Population: • ContinuousType of data: • Repeated Measures Number of time points: • LS Means Difference based on Repeated Measures Population Average ModelTest: • Unilateral vs. Bilateral, Missing DataSensitivity:
  • 8. Planning Your Trial – Blinding/Masking Single Blinding • The participant doesn’t know to which intervention they have been assigned. Double Blinding • The participant and the investigator don’t know to which intervention the participant has been assigned. Triple Blinding • The participant, investigator, and monitoring committee do not know to which intervention the participant is assigned.
  • 9. Planning Your Trial – Blinding/Masking Advantages • Decrease bias • Participant response not influenced by knowledge of treatment • [DB] Investigator preconception does not matter Disadvantages • Patient consent • Another layer of complexity • [TB]Patient safety • Can the study really be blinded?
  • 10. Study Populations Who do you want in your study? • Inclusion & Exclusion criteria Ensure that statistical inference can be made to targeted market population • Safety Analysis Set • Full analysis sets (ITT Population) • Per Protocol • Depending on draft guidance, Clinically evaluable
  • 11. Sample Size and Power • TOO SMALL • NOT ADEQUATE TO ADDRESS QUESTIONS • TOO LARGE • WASTED TIME, RESOURCES, AND MONEY • POTENTIALLY EXPOSE PTS TO INEFFECTIVE TRT  2 Basic Approaches • Power of a hypothesis test (most common) • Precision
  • 12. Sample Size and Power • Sample size calculation depends on: • Planned analysis method/ hypothesis • Clinically significant difference/ effect size • α:Type I error • β:Type II error • σ: standard deviation • Other considerations • Cost • Expected dropout rate
  • 13. Sample Size and Power Standard Deviation Power Desired Acceptable Error Clinically Significant Difference Power Desired Cost
  • 14. Hypothesis Testing Study comparing Drug X to placebo in lowering pain due to osteoarthritis of the knee. • The null hypothesis, H0, is the hypothesis to be tested. H0: μdrug = μplacebo • The alternative hypothesis, Ha, is the hypothesis which contradicts the null hypothesis. Ha: μdrug ≠ μplacebo
  • 15. Possible Outcomes of Hypothesis Tests Correct decision Type II error (β) Type I error (α) Correct decision True State of Nature H0 true H0 false Decision RejectH0FailtorejectH0 False negative False positive (H0 = null hypothesis)
  • 16. SMOKE ALARM SYSTEM Correct decision Type II error (β) Type I error (α) Correct decision No Fire Fire AlarmNoAlarm False negative False positive
  • 17. Sample Size and Power The lower the allowable error, the bigger the sample size REMEMBER:
  • 18. Sample Size and Power The higher the power, the bigger the sample size REMEMBER:
  • 19. Sample Size and Power The bigger the standard deviation, the bigger the sample size REMEMBER:
  • 20. Sample Size and Power The bigger the clinically significant difference, the smaller the sample size REMEMBER:
  • 21. Sample Size and Power All differences can be “statistically significant” if you have enough subjects, power only for your clinically significant difference! REMEMBER:
  • 22. Statistical Significance • Informally, a p-value is the probability under a specified statistical model that a statistical summary of the data (for example, the sample mean difference between two compared groups) would be equal to or more extreme than its observed value. Ronald L. Wasserstein & Nicole A. Lazar (2016): The ASA's statement on p-values: context, process, and purpose, The American Statistician, DOI: 10.1080/00031305.2016.1154108
  • 23. Statistical Significance • If p-value > α, we fail to reject the null hypothesis, and the result is considered statistically insignificant • If p-value ≤ α, we reject the null hypothesis, and the result is considered statistically significant
  • 24. Type I Error Rate Control • Multiple looks (Unmasked/Unblinded interim analyses) • Multiple comparisons (More than one primary hypothesis/endpoint)
  • 25. Data Capture CRF design is integral to capturing the data you need for a successful analysis. Statisticians need to participate in CRF design to make sure assessments align with analyses! It’s VERY difficult to go back and obtain data after the fact! Will this study be part of a submission? • CDASH (CRF=Case Report Form)
  • 26. Data Capture – Missing Data • Potential source of bias • Minimize through protocol design • Consult guidance, literature, and your statistician for candidate methods for analysis • Define and justify the proposed method • Communicate with client and the internal team See: O’Neill, R and Temple, R. “The Prevention and Treatment of Missing Data in Clinical Trials: An FDA Perspective on the Importance of Dealing With It.” Clin Pharmacol Ther. 2012 Mar, 91(3); 550-4.
  • 27. Clinical Data Standards • Clinical Data Interchange Standards Consortium (CDISC) – Clinical Data Acquisitions Standard Harmonization (CDASH) -> data collection – Study Data Tabulation Model (SDTM) -> ‘raw’ data – Analysis Dataset Model (ADaM) -> analysis ready data www.cdisc.org
  • 28. Randomization Reasons • Reduction of bias • Sound statistical basis for evaluation • Produces treatment groups in which the distributions of prognostic factors, known and unknown, are similar
  • 29. Randomization - Types Simple Randomization Like flipping a coin Pro: Easy! Con: You could randomize everyone to the same group
  • 30. Randomization - Types Permuted Block Randomization Randomized by block Pro: Balance across intervention arms Con: If you know the block size (and it’s small), you may be able to guess the next treatment Block 1 2 3 4 5 6 7 8 9 Treatments ABC CBA CAB BCA ACB ACB ABC CAB BCA
  • 31. Randomization - Types Stratified Randomization If a key factor may affect how an intervention works in a particular group, stratify by that factor. Can combine this method with permuted block for balance: Permuted block stratified by baseline pain: Moderate pain: AABB ABAB BBAA Severe pain: ABAB BBAA BABA 3 blocks of size 4 3 blocks of size 4
  • 32. Statistical Analysis Plan • What data will we use? • Which participants will be included? • Exactly how will we analyze? • Factors affecting analysis? Gets down to the nuts and bolts of the statistical analyses
  • 33. Statistical Analysis Plans • Descriptive Statistics • T – test and Non- parametric Test (Wilcoxon Test) • ANOVA and ANCOVA • Linear Regression • Linear Mixed Models Continuous Outcomes • Descriptive Statistics • χ2 / Fisher’s Exact Test • CMH test, Odds Ratio, Relative Risk • McNemar’s, Agreement (Kappa) • Logistic Regression • Poisson Models Categorical Outcomes
  • 34. Statistical Analysis Plans • Kaplan Meier • Log Rank Test • Survival Rates • Poisson Models • Cox Proportional Hazard Models Survival Analysis • Pattern Mixture Models • Missing Data Imputation Methods • LOCF • BOCF • Multiple Imputation Sensitivity Analyses
  • 35. Interim Analyses • Is an interim analysis planned? • What is the purpose of the interim analysis? • Interim analysis timing and frequency • Is an unblinded interim team needed? • What is the data cleaning process for the interim analysis? • How does this affect α?
  • 36. Interim Analyses - IDMC/DSMB • SafetyPurpose • Based on outcome and safety concerns Timing and Frequency • Possible, not always necessaryUnmasked Team • Interim database locks, snapshotsData Cleaning • No efficacy dataAffected α?
  • 37. Interim Analyses – Sample Size Recalculation • Ensure necessary sample size based on SD assumptionsPurpose • Usually just once Timing and Frequency • Not necessaryUnmasked Team • Interim database locksData Cleaning • Not if performed in a pooled SD adjustmentAffected α?
  • 38. Interim Analyses – Stopping Rules • EfficacyPurpose • Based on primary outcomeTiming and Frequency • RequiredUnmasked Team • Interim database locksData Cleaning • Yes, if study continuesAffected α?
  • 39. Interim Analyses – Adaptive Designs • EfficacyPurpose • Based on primary outcome Timing and Frequency • Usually, based on arms involvedUnmasked Team • Interim database locksData Cleaning • Yes, but not usually well controlled studies (Phase I or II)Affected α? Example: Pruning
  • 40. Database Lock and Unmasking • All analysis plans should be complete • Per-Protocol population selection • Statistician sign off • Data quality • Missing data? • Unmasking
  • 41. Final Analyses • Hypothesis Testing • Primary/Secondary Outcomes • Safety Reporting • Missing Data?
  • 42. Clinical Study Report • Statistical Reporting • Primary Endpoint Discussion • What does it all mean??
  • 43. Summary • Determining trial objectives and corresponding endpoints, primary and secondary, is important initial step. • The type of trial should be aligned with sponsor’s clinical plan. • Determining the sample size early is very important to the projected cost for running the trial. • Statistical parts of the protocol serve as starting point for all remaining activities. • Emphasis on design and statistical principles protects the study from bias by specifying the analysis methods a priori.
  • 44. References • ICH-E3: Structure and Content of CSRs • ICH-E6:Good Clinical Practice: Consolidated Guidance • ICH-E9: Statistical Principles for Clinical Trials • ICH-E10: Choice of Control Group and Related Issues in Clinical Trials • FDA Guidance for Industry: Various Indications • National Academy of Science Missing Data Guidance • “Statistical Reasoning in Medicine: The Intuitive P-Value Primer” – Lemuel A. Moyé • “Fundamentals of Clinical Trials” - Lawrence M. Friedman and Curt D. Furberg