The Education University of Hong Kong · FACULTY OF STATISTICS

PES6251 Chap.4 Cohort Designs and Risk Measures

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Chapter 4 of 10 · PES6251

Cohort Designs and Risk Measures

Follow exposure toward outcome

Cohort studies group people by exposure and compare later outcomes. Prospective cohorts define exposure and follow-up before outcomes occur; retrospective cohorts reconstruct the same time order from existing records. Incidence requires an initially at-risk denominator, and relative risk divides exposed risk by unexposed risk.

Hazard ratios incorporate event timing and should not be treated as simple risk ratios without checking model assumptions.

Define entry and follow-up consistently

Participants should be outcome-free at the point risk begins and observed over comparable periods.

If one exposure group enters later, is monitored more intensively or already includes prevalent outcomes, the apparent incidence contrast can be distorted. Prospective work can standardise these decisions in advance, while retrospective work must recover them from records created for another purpose.

State the index date, eligibility window and outcome-detection process for each group.

Read the ratio with its direction attached

Compute risk separately for exposed and unexposed participants before dividing. A ratio above one indicates greater observed risk in the numerator group, a ratio below one indicates lower observed risk and one indicates equality.

Reversing exposure labels produces the reciprocal and answers a different question. The interpretation must name the exposure, outcome and period; it must not silently become a causal conclusion when exposure was selected rather than assigned.

Account for uncertainty and disappearance

Confidence intervals show precision and whether the data remain compatible with materially different effects.

Attrition deserves equal attention because missing outcomes may depend on exposure and prognosis. Compare loss and reasons by group, inspect whether remaining participants differ at baseline and test how plausible missing values would change the result. A perfectly computed relative risk can still describe a biased cohort if the people who remain observable are selected by the outcome process.

In this chapter

What this chapter covers

  • 01

    Prospective cohort design

  • 02

    Retrospective cohort reconstruction

  • 03

    Incidence and at-risk denominators

  • 04

    Relative risk calculation

  • 05

    Hazard ratios and event time

  • 06

    Loss to follow-up and confounding

Worked example · free

Calculate and qualify relative risk

Q [8 marks]. AskSia-authored practice. Twenty-four of eighty travelling athletes and eighteen of one hundred twenty local athletes develop an overuse injury. Calculate relative risk and state its boundary. The marks shown are an AskSia study allocation, not the University's marking scheme.
The two rows differ in when researchers enter the story.The two rows differ in when researchers enter the story. Both classify people by exposure before comparing outcomes, which preserves the direction needed for risk measures.Both cohort designs start by exposure and compare later outcomesProspectiveRetrospectiveExposure nowOutcome laterPast recordsKnown outcometime direction differs; grouping logic does not
The two rows differ in when researchers enter the story. Both classify people by exposure before comparing outcomes, which preserves the direction needed for risk measures.
  • 3Calculate each group risk.
  • 2Divide exposed by unexposed risk.
  • 3Interpret without claiming causation.
The exposed risk is 24 divided by 80, or 0.30. The unexposed risk is 18 divided by 120, or 0.15. Relative risk is 2.00, so the travelling group had twice the observed injury risk during follow-up. Baseline and recovery differences may confound that association.
Sia tip — Write the two group risks before forming the ratio so the exposure direction cannot silently reverse.
Glossary

Key terms

Cohort
A group defined by exposure or another shared characteristic and observed for later outcomes.
Incidence
The occurrence of new outcomes among people initially at risk during a stated period.
Relative Risk
Risk in the exposed group divided by risk in the unexposed group.
Hazard Ratio
A comparison of instantaneous event rates across follow-up under a specified time-to-event model.
Attrition Bias
Distortion arising when loss to follow-up differs by exposure and outcome risk.
FAQ

Cohort Designs and Risk Measures FAQ

What is the main difference between prospective and retrospective cohorts?

Prospective cohorts record exposure and follow participants forward under procedures planned by the researchers. Retrospective cohorts use existing records to reconstruct exposure and later outcomes. Both start with exposure groups, but prospective collection offers more measurement control while retrospective work is faster and inherits record limitations.

What does a relative risk of two mean?

It means observed risk in the exposed group is twice the risk in the unexposed group over the stated follow-up. The interpretation must name the exposure, outcome and period. It does not by itself show that exposure caused the outcome because confounding, selection and measurement error may remain.

Why should loss to follow-up be reported by exposure group?

Different attrition can break comparability. If high-risk exposed participants leave more often, the remaining exposed group may appear healthier and the risk ratio can be biased downward. Report numbers and reasons for leaving, compare baseline characteristics and consider sensitivity analyses rather than treating missing outcomes as neutral.

Study strategy

Assessment move

Practise with labelled two-by-two tables and compute exposed and unexposed risks on separate lines. After every ratio, add an uncertainty sentence naming confounding or attrition. Compare prospective and retrospective examples by measurement control, follow-up length, record completeness and feasibility rather than treating one label as automatically stronger.

For each example, state the index date, confirm that participants were initially at risk, and draw the route from exposure classification to outcome detection. Recalculate the ratio after reversing the exposure labels so you can see why direction must accompany the number. Then compare losses between groups and write a short sensitivity argument about how missing outcomes could exaggerate or dilute the observed association.

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