Bas B.L. Penning de Vries
Dept. Data Science & Biostatistics
Julius Center, UMC Utrecht
Question 1
Which of the following options best describes the meaning of a potential outcome according to the counterfactual (or potential) outcomes framework?
Question 2
True or false? The backdoor criterion is fulfilled by a set of variables if (conditioning on) it closes all backdoor paths from treatment to outcome.
Question 3
True or false? The backdoor criterion is satisfied (by the empty set) for treatment/exposure Z and outcome Y.
Question 4
True or false? If the backdoor criterion is satisfied for Z and Y, then the exposure groups (defined by Z) are (marginally) exchangeable with respect to the outcome Y.
Question 5
True or false? The backdoor criterion is satisfied for treatment/exposure A and Y.
Question 6
True or false? The backdoor criterion is satisfied by (conditioning on) Selection for Obesity1 (current obesity) and Mortality.
Question 7
True or false? Recent methodological developments allow epidemiologists to falsify the presence of confounding using a statistical test that does not rely on causal assumptions.
By the end of today, you’ll be able to
“Causal inference from observational data can be viewed as
an attempt to emulate a hypothetical randomized trial”
Causal inference is about speculating what would happen if …
A causal effect is a contrast between the answers to what-if questions.
Fundamental obstacle: impossible to observe the consequences of ≥ 2 mutually exclusive actions (interventions, treatments, etc.)
Solution? Instead of comparing the same individuals between different counterfactual (“what-if”) situations, …
… compare different individuals who are actually treated differently.
Randomisation
Why trials? Short answer: although the fundamental obstacle of causal inference means that causal effects cannot be observed directly — even in trials — they allow causal effects to be readily identified under assumptions that are partly guaranteed by design.
Example: identification average treatment effect (ATE) in a typical trial
“Causation = correlation”!
Why not do trials?
Target trial
A hypothetical trial that — if implemented — would readily allow us to answer our what-if question
Target trial emulation (TTE)
Explicit attempt to address deviations from a target trial, given the (observational) study data at hand
| Target trial | |
|---|---|
| Eligibility criteria | … |
| Treatment strategies | … |
| Outcome | … |
| Time zero and follow-up | … |
| Causal contrasts | … |
| Data analysis | … |
Eligibility criteria (Population)
Treatment strategies (Intervention & Comparator)
Outcome
Time zero and follow-up
Failing to align these can be problematic!
Causal contrasts and data analysis
Step 2: emulate
Compare and address departures from target trial (analytically)
| Target trial | Emulation study | |
|---|---|---|
| Eligibility criteria | … | … |
| Treatment strategies | … | … |
| Outcome | … | … |
| Time zero and follow-up | … | … |
| Causal contrasts | … | … |
| Data analysis | … | … |
Formulating a target trial helps to communicate the causal estimand and helps to avoid asking vague or “silly” questions (about ill-defined or irrelevant interventions).
Treatment-variation (ir)relevance and well-definedness
🔑 Having to write a trial protocol forces you to be explicit and precise!
Example: do statins prevent cancer?
🧩 Are groups defined by A0 exchangeable relative to outcome Y2 conditional on S = 1? (Hint: use the backdoor criterion!)
Example: ‘wait-time + surgery’ vs ‘no surgery’ (Hernán, 2025)
Misalignment of eligibility, treatment assignment, and the start of follow-up can result in time-related bias such as immortal time and selection of prevalent users.
Too few incident users at any given time?
Statin-cancer example revisited
Target trial emulation (TTE)
Explicit attempt to address deviations from a target trial, given the (observational) study data at hand
The target trial framework provides an organizing principle for the design of observational studies that leads to clinically interpretable results and analytic approaches that can prevent common biases.