Learn Index · Data Management and Statistics Grade 11–12

Experimental design

Planning an investigation with control groups, variables and random assignment.

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Observational studies vs experiments

Observational study Experiment
researchers observe and record researchers apply a treatment
can show association can show cause and effect
e.g. compare health of coffee drinkers and non-drinkers e.g. randomly assign people to drink coffee or not

Only well-designed experiments can establish causation.

Key principles of experimental design

Principle Meaning Why
Control compare with a control group to see the treatment’s real effect
Random assignment chance decides groups balances unknown factors
Replication use enough subjects reduces the role of chance
Blinding subjects (and maybe researchers) don’t know who gets what prevents expectations from affecting results

The placebo effect

People often feel better just because they think they’re being treated. A placebo (like a sugar pill) lets researchers separate real effects from expectation.

  • Single-blind: subjects don’t know their group.
  • Double-blind: neither subjects nor those measuring results know.

Confounding variables

A confounding variable is linked to both the treatment and the outcome.

Example: People who carry lighters have higher rates of lung cancer. Lighters don’t cause cancer; smoking (the confounder) is linked to both. Random assignment helps prevent confounding in experiments.

Design example

Question: Does a new fertilizer increase tomato yield?

  1. Get 40 similar tomato plants.
  2. Randomly assign 20 to get the fertilizer (treatment) and 20 to get none (control).
  3. Keep sunlight, water and soil the same.
  4. Measure the yield of each plant.
  5. Compare the mean yields.

Variables

Term In the tomato experiment
Explanatory (independent) fertilizer or not
Response (dependent) yield
Controlled sunlight, water, soil

Other designs

  • Matched pairs: pair similar subjects (or test each subject twice) and compare within pairs.
  • Block design: group similar subjects (e.g., by age), then randomize within each block.

Ethics

Experiments on people need informed consent, minimal risk, and ethics review. Some questions (like whether smoking causes disease) can’t ethically be studied with experiments; observational studies must be used carefully.

Worked examples

Example 1: Researchers survey students’ sleep and grades. Study type? Observational; it can’t prove sleep causes better grades.

Example 2: Why use random assignment? To balance confounding variables between groups.

Example 3: In a drug trial, neither patients nor doctors know who gets the drug. This is double-blind.

Common mistakes

  • Claiming causation from observational studies.
  • No control group.
  • Letting subjects choose their own group.

Try it yourself

  1. Is "comparing test scores of students who chose to attend tutoring and those who didn’t" an experiment?
  2. Name the control group in a test of a new study app.
  3. What does a placebo help measure?
  4. Name a possible confounding variable: "Students who eat breakfast get better grades."

Answers: 1) No; it’s observational (students chose). 2) students who use no app (or the old method) 3) the placebo effect, separate from the real effect 4) e.g. family routines, income, sleep habits

Quick recap

  • An experiment applies a treatment; an observational study only observes.
  • Use a control group, random assignment, replication and blinding (placebo).
  • Watch for confounding variables.