Study design & analysis,� part II
Carl
MMED 2024
Earlier versions by Jim Scott, Travis Porco, & Reshma Kassanjee
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Should people be convinced to buy the treatment? � Why or why not?�
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Study 1
Study 1
Was the lower mortality observed because
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Study 1
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… yet people were not convinced to buy the treatment. � Why?�
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Study 2
Study 2
Was the reduction in symptoms due to the treatment?
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Study design and analysis,�part II:�Randomised controlled trials
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Goals
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Goals
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Confounding
Study 1:
Was the lower mortality observed because
Confounding
the relationship or association between the exposure and outcome ≠ the causal effect
Confounding
Exposure:�Treatment
Age
Outcome:
Mortality
Confounding
Exposure:�Treatment
Age
Outcome:
Mortality
Confounding
Exposure:�Treatment
Age
Outcome:
Mortality
Attitude -�wellbeing
Exercise
Wealth
Free time
Access to healthcare
Confounding
Exposure:�Treatment
Age
Outcome:
Mortality
Questions?
Confounding
Exposure:�Treatment
Confounder:�Age
Outcome:
Mortality
Exposure:�Treatment
Age
Outcome:
Mortality
Attitude -�wellbeing
Exercise
Wealth
Free time
Access to healthcare
Exposure:�Treatment
Age
Outcome:
Mortality
Attitude -�wellbeing
Exercise
Wealth
Free time
Access to healthcare
Unknown
confounder
Exposure:�Treatment
Age
Outcome:
Mortality
Attitude -�wellbeing
Exercise
Wealth
Free time
Access to healthcare
Exposure:�Treatment
Age
Outcome:
Mortality
Attitude -�wellbeing
Exercise
Wealth
Free time
Access to healthcare
Unknown
confounder
Goals
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Randomised controlled trials
Randomisation
Randomly assign participants to one of the treatment groups. I.e. what treatment a person receives depends only on chance.
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Randomisation
Exposure:�Treatment
Age
Outcome:
Mortality
Randomisation
Exposure:�Treatment
Age
Outcome:
Mortality
Randomisation
Exposure:�Treatment
Age
Outcome:
Mortality
Exposure:�Treatment
Age
Outcome:
Mortality
Attitude -�wellbeing
Exercise
Wealth
Free time
Access to healthcare
Unknown
confounder
Exposure:�Treatment
Age
Outcome:
Mortality
Attitude -�wellbeing
Exercise
Wealth
Free time
Access to healthcare
Unknown
confounder
Randomisation
Exposure:�Treatment
Age
Outcome:
Mortality
Questions?
Study designs
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Observational
Ethics
Randomised controlled trials
Randomisation
Randomised controlled trials
?
Study 2:
Was the reduction in symptoms due to the treatment?
What can we include in our study design to help us answer this?
Randomised controlled trials
Suitable ‘control’ group (or arm) for comparisons
Ethical considerations
Masking and placebos
Masking/blinding: Participants (and evaluators) do not know to which treatment group each participant has been assigned�
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Masking and placebos
Placebo: a ‘treatment’ that has no therapeutic effect, that resembles and is administered in the same way as the treatment being tested
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Let’s talk through a simple randomized controlled trial….
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Population of interest
Study participants
Randomizer
Treatment
A
Treatment
B
Compare
outcomes
Ethics
Ethics is central to the purpose and design of �clinical trials
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Ethics
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Ethics
Study participants must provide informed consent
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Goals
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Interpretation limited to study population
Participants are often not representative of the population
Why?
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Population
of interest
Study sample
Interpretation limited to study population
Participants are often not representative of the population
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Population
of interest
Study sample
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estimate =
truth
bias
random error
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Various other sources of bias
�RCTs are still prone to many of the biases that occur in other study designs
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Compare outcomes
Estimate an effect and its uncertainty
E.g. Time to treatment failure is 1.4 (95% CI: 1.2, 1.6) times larger when using Drug A rather than Drug B
Perform hypothesis testing
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0
1
There is evidence that the treatment may impact the outcome
We think we have made� a discovery (“significant”)
There is a lack of evidence that the treatment impacts the average outcome
We still do not know
p-value
Analogy for errors: Looking for planets
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Analogy for errors: Looking for planets
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(↓ variability, ↑ power)
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Analogy for errors: Looking for planets
(↓ variability, ↑ power)
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Analogy for errors: Looking for planets
Statistical analysis plan
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What about mathematical modeling?
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Summary
RCTs
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This presentation is made available through a Creative Commons Attribution-Noncommercial license. Details of the license and permitted uses are available at� http://creativecommons.org/licenses/by-nc/3.0/
Study Design and Analysis in Epidemiology II: Clinical Trials. DOI: 10.6084/m9.figshare.5044669.v3
�Attribution: R. Kassanjee, J. Scott, T. Porco
Clinic on the Meaningful Modeling of Epidemiological Data
Source URL: �https://figshare.com/collections/International_Clinics_on_Infectious_Disease_Dynamics_and_Data/3788224
For further information please contact figshare@ici3d.org.
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© 2014-2023 International Clinics on Infectious Disease Dynamics and Data
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Tutorial
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Tutorial
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Extra slides from previous years
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Goals
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Observational Designs
CONFOUNDING
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Example
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Example
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Confounding
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Exp
Dis
Variable Z
Variable Z is a confounding
variable
Solution: Randomization
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Confounding
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Treatment
Disease
Potential
Confounder
No Confounding!!!
Randomization
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Non-inferiority Design
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Population of interest
Study participants
Randomizer
Tx
No TX
TX: Outcome
No Tx: Outcome
Compare
Compare Outcomes
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Making Mistakes
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Power
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Compare Outcomes
We never know the truth!
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| Different treatments�🡪 different average outcomes (Null is not “true”) | Different treatments�🡪 ‘same’ average outcomes (Null is “true”) |
Find evidence of differences in outcomes�(Reject null) | | |
Fail to find evidence of differences in outcomes �(Fail to reject null) | | |
In reality
In study
Errors
Compare Outcomes
We never know the truth!
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| Different treatments�🡪 different average outcomes (Null is not “true”) | Different treatments�🡪 ‘same’ average outcomes (Null is “true”) |
Find evidence of differences in outcomes�(Reject null) | | |
Fail to find evidence of differences in outcomes �(Fail to reject null) | | |
In reality
In study
Errors
Compare Outcomes
We never know the truth!
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| Different treatments�🡪 different average outcomes (Null is not “true”) | Different treatments�🡪 ‘same’ average outcomes (Null is “true”) |
Find evidence of differences in outcomes�(Reject null) | | |
Fail to find evidence of differences in outcomes �(Fail to reject null) | | |
In reality
In study
Errors
Compare Outcomes
We never know the truth!
75
| Different treatments�🡪 different average outcomes (Null is not “true”) |
Find evidence of differences in outcomes�(Reject null) | |
Fail to find evidence of differences in outcomes �(Fail to reject null) | |
In reality
Errors
Compare Outcomes
We never know the truth!
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| Different treatments�🡪 different average outcomes (Null is not “true”) |
Find evidence of differences in outcomes�(Reject null) | |
Fail to find evidence of differences in outcomes �(Fail to reject null) | |
In reality
Errors
Analogy for errors: Looking for planets
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Analogy for errors: Looking for planets
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Goals
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Goals
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Goals
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Ethics
Central to the purpose and design of clinical trials
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Declaration of Helsinki
“In medical research involving human subjects, the well-being of the individual research subject must take precedence over all other interests.”
“Medical research involving a disadvantaged or vulnerable population or community is only justified if the research is responsive to the health needs and priorities of this community and if there is a reasonable likelihood that this population or community stands to benefit from the results of the research.”
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The Belmont Report
Three fundamental principles
Basis of US guidance (45 CFR 46)
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Informed Consent
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Ethics
Central to the purpose and design of clinical trials
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You need to know about ethical considerations and ensure ethical studies
Confounding
A confounder is
Drug iron hair growth
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Exposure
Outcome
Confounder
Confounding
A confounder is
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Exposure
Outcome
Potential�Confounder
Randomized Controlled Trials
Implement randomization of treatment assignments�
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Exposure
Outcome
Masking / blinding
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Observational Designs
Observational studies are prone to suffer from
Bias
Confounding
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Statistical analysis plan
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Accurate measurements