Chapter 12 Estimating Risk: Is there an Association?
Define, explain and recognize the following in examples:
Key Definitions
Risk
The chance that something (like a disease) will happen.
Example: If 3 out of 10 people get sick, the risk is 3/10 or 30%.
Absolute Risk (AR)
Also called incidence.
Just tells you how common the disease is in a group.
Example: If 20 out of 100 exposed people get sick → AR = 20%.
Relative Risk (RR)
Tells you how much more likely the exposed group is to get sick compared to the unexposed group.
Formula: Risk in exposed ÷ Risk in unexposed
Example: If exposed group has 20% risk and unexposed has 10% → RR = 2 (means 2x the risk).
Excess Risk
The extra risk caused by the exposure.
Formula: Risk in exposed - Risk in unexposed
Example: If exposed = 20%, unexposed = 10%, then excess risk = 10%.
Odds
A way of saying how likely something is compared to it not happening.
Example: If 2 people are sick and 8 are not → odds = 2/8 = 0.25.
Odds Ratio (OR)
Compares the odds in exposed vs. unexposed.
Example: Odds of disease in smokers vs. nonsmokers.
Attack Rate
A special kind of risk used during outbreaks.
Formula: # of new cases ÷ total people at risk
Example: 10 people get food poisoning out of 50 who ate at a buffet → Attack rate = 20%.
Study Designs
1. Randomized Controlled Trial (RCT)
Design: Randomly assign people to treatment or control group.
Use it when: You want to test a new drug or treatment.
Advantages: Best for proving cause-and-effect (causation), no bias.
Disadvantages: Expensive, sometimes not ethical.
Calculates: AR, RR, OR.
2. Cohort Study
Design: Group people by exposure, follow over time to see who gets disease.
Use it when: You want to study how an exposure affects risk.
Advantages: Can find incidence (new cases), can calculate RR.
Disadvantages: Takes time, not good for rare diseases.
Calculates: AR, RR, OR.
3. Case-Control Study
Design: Start with people who already have the disease (cases), and compare them to people without it (controls). Look back to see exposure.
Use it when: The disease is rare or takes a long time to develop.
Advantages: Quick, cheap, good for rare diseases.
Disadvantages: Can’t get incidence or RR. Subject to recall bias.
Calculates: Only OR.
Association vs. Causation
Association: Two things happen together (like smoking and lung cancer).
Causation: One thing actually causes the other.
Association is always determined first. Causation takes stronger evidence (like from RCTs).
Q&A Summary
Another name for absolute risk: Incidence.
Excess risk = Risk in exposed - Risk in unexposed.
Relative Risk = Risk in exposed ÷ Risk in unexposed.
Interpret RR:
RR = 1 → No difference
RR > 1 → Exposure increases risk
RR < 1 → Exposure lowers risk
Why can’t you calculate RR in case-control?
You don’t know how many total people were at risk — you start with people who already have the disease.
Can you calculate OR in both cohort and case-control studies?
Yes!
RR vs. OR?
RR uses risk, OR uses odds. RR is easier to understand. OR can exaggerate risk when disease is common.
When is OR a good estimate of RR?
When the disease is rare.
Why is absolute risk important?
It shows how likely someone is to get the disease — very helpful for doctors and patients.
What does RR measure?
How much the exposure increases or decreases the risk.
What does OR measure?
How much more likely the exposure is in cases vs. controls