The Hong Kong Polytechnic University · FACULTY OF STATISTICS

BB2025 Chap.2 Sampling and Experimental Study Design

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Chapter 2 of 10 · BB2025

Sampling and Experimental Study Design

Classify studies from investigator control

An experiment assigns an intervention or condition. A quasi-experiment introduces a change without random individual allocation. An observational study records exposures that already exist.

Timing and comparison then refine the design: cohorts move from exposure toward outcomes, case-control studies begin with outcome status and reconstruct exposure, and cross-sectional studies observe variables within one period.

These labels describe how evidence is formed rather than ranking quality automatically.

Find the counterfactual

The comparison group or comparison period represents what would have happened without the exposure. Random allocation strengthens that representation by balancing baseline causes in expectation.

Controlled time-series and natural experiments can provide useful alternatives when randomisation is infeasible, but they require a clear intervention point, stable measurement and evidence that concurrent changes do not explain the result.

Sampling controls the reach of the claim

The target population, accessible population and recruited sample are different groups.

Probability sampling gives known selection chances when a usable frame exists. Stratified, cluster and multistage methods trade field efficiency against variance and design complexity. Non-response and volunteer entry can still change the analysed sample, so response processes and population boundaries belong in the interpretation.

In this chapter

What this chapter covers

  • 01

    Experimental and observational assignment

  • 02

    Randomised and quasi-experimental designs

  • 03

    Cohort, case-control and cross-sectional timing

  • 04

    Counterfactual comparisons

  • 05

    Allocation and analysis units

  • 06

    Probability sampling frames

  • 07

    Stratified and cluster sampling

  • 08

    Non-response and population coverage

Worked example · free

Classify a controlled service change

Q [8 marks]. AskSia-authored practice. One clinic introduces a screening checklist and compares admissions before and after, while a neighbouring clinic does not introduce it. Classify the design and explain what the neighbouring clinic contributes. The marks are an AskSia study weighting, not a university marking scheme.
The first branch is investigator control.The first branch is investigator control. Later branches refine allocation and timing, but they cannot turn an observed exposure into an experiment. Choose the design from what the investigator controls Assign exposure? Experimental Observational yesno random or quasicohort, case-controlcross-sectional
The first branch is investigator control. Later branches refine allocation and timing, but they cannot turn an observed exposure into an experiment.
  • 2Identify whether exposure was assigned randomly.
  • 2Name the design from assignment and time.
  • 4Explain the contemporaneous comparison and remaining threat.
This is a controlled before-and-after quasi-experiment because the clinic introduced the programme without random individual allocation. The neighbouring clinic represents concurrent change: a fall in admissions at both sites would suggest season, policy or regional care changes rather than the checklist. Important threats remain if clinics differ in patients, staffing or prior trends, so several pre-intervention observations and comparable measurement are needed.
Sia tip — Underline the verb that determines exposure: assigned, offered, chose, already had or was identified after the outcome.
Glossary

Key terms

Random Allocation
Assignment by chance so baseline causes are balanced between intervention groups in expectation.
Quasi-experiment
An intervention study that constructs a comparison without random individual allocation.
Cohort Study
An observational design that begins with exposure groups and follows them toward outcomes.
Case-control Study
An observational design that selects by outcome status and reconstructs earlier exposure.
Sampling Frame
The operational list or structure from which eligible population units can be selected.
Cluster Sampling
Selection of natural groups before individuals, reducing field cost while increasing within-group dependence.
FAQ

Sampling and Experimental Study Design FAQ

What is the first question when identifying a study design?

Ask who determined exposure or intervention. Investigator assignment points toward an experiment, while naturally occurring or chosen exposure points toward observation. Then inspect whether allocation was random, how the comparison was formed and whether observations move forward, backward or occupy one period. This reconstruction is safer than matching a familiar label.

Does random allocation make a sample representative?

No. Allocation supports comparison between study groups after recruitment. Sampling supports inference from the recruited sample to a target population. A trial can balance its groups well while enrolling a narrow volunteer population, and a representative survey can describe prevalence accurately without supporting a causal treatment conclusion.

Why does the analysis unit matter?

The unit receiving allocation or exposure may be a clinic, class or community even when outcomes are recorded for individuals. People within the same unit share procedures and context, so treating every record as independent exaggerates information. Record the allocation, observation and analysis units when planning sample size and modelling dependence.

Study strategy

Exam move

Practise design identification from plain descriptions with the formal label hidden. Write four answers for each: who assigned exposure, what represents the comparison, which direction time runs and what the independent unit is. Draw one timeline for cohort, case-control, cross-sectional and interrupted designs.

For sampling, map the target population to the frame, invitation, response and analysed sample, then identify where coverage or self-selection changes the population to which the result can travel. Add one realistic threat beside every design and one control that must operate before analysis. For cluster and repeated designs, write the allocation, observation and analysis units on separate lines.

End each exercise with a transport sentence naming the target group and the feature most likely to modify the effect outside the study setting. Reclassify the same scenario after changing one verb from assigned to chose; noticing how that single word changes design strength is excellent final-test practice. For every randomised example, identify concealment before assignment and masking after assignment as separate safeguards.

Then explain which bias each safeguard addresses. Treating them as interchangeable hides exactly where knowledge can alter entry or measurement.

Working through Sampling and Experimental Study Design in BB2025? Sia is AskSia’s AI Statistics tutor — ask any BB2025 Sampling and Experimental Study Design question and get a clear, step-by-step explanation grounded in how BB2025 is taught and assessed. Read this chapter free, then take your hardest questions to Sia.

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