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7.1.4 Populations and Sampling

Target populations and samples

Definition

Target population

The whole group of people a study is about and wants its findings to apply to; the sample is drawn from it.

  1. The target population is the whole group a piece of research is about, such as all Year 11 pupils in the UK.
  2. Testing all of them is almost never possible, so the researcher selects a sample, the smaller group who actually take part.
  3. The way that sample is picked is the sampling method, and three of them are random, opportunity and self-selected.
  4. The population is named precisely, because "teenagers" and "Year 11 pupils at one school in Cardiff" are very different claims.
  5. The sample is what gets studied, and the conclusion drawn from it is about the whole population.
Key Idea
  • A conclusion is only as wide as the sample it came from, so 20 pupils in one canteen supports a claim about that canteen rather than about Year 11 across the UK.
  • Representativeness is about the mix of people in the sample, which is why a sample of 200 drawn from one top set is still biased.
  • Every sampling method trades effort against bias, and random sampling buys the least biased sample by demanding a full list of the population.

Representativeness and generalisability

Definition

Representative sample

A sample whose mix of people closely reflects the features of the target population, so findings can be generalised back to it.

  1. A representative sample holds the same mix of people as the target population, with age, gender, background and ability in roughly the right proportions.
  2. Generalisability is how far a finding from the sample can be applied to the whole target population.
  3. A sample that leaves out a whole group is unrepresentative however large it is.
  4. When a sample is unrepresentative, the study loses population validity, because the result may not hold for the groups it missed.
  5. Gender bias, cultural bias and age bias all start at the sampling stage, and can be built in without anyone intending it.
Example
  • A year group has 300 pupils, 150 girls and 150 boys, spread across every ability set.
  • A sample of 30 boys from the top set leaves out all 150 girls and every other set.
  • A sample matching the year group would be 15 girls and 15 boys, since the population splits one to one.
  • A sample of 30 that contained 18 girls is 18 out of 30, which cancels to 3/5, or 60%, so girls are over-represented.

Random sampling

Definition

Random sampling

A method in which every member of the target population has an equal chance of being selected, for example by drawing names from a hat.

  1. Random sampling gives everyone in the target population an equal chance of being picked.
  2. It starts from a full list of the population, with every name numbered, and numbers are then drawn from a hat or produced by a random number generator until the sample is full.
  3. Strength: it is the least biased of the three methods, so it usually gives the most representative sample and the safest generalisation.
  4. Strength: the researcher has no say in which names come out, which rules out their own preferences shaping the sample.
  5. Weakness: a complete list of everyone in the population is needed, and for something like all UK teenagers no such list exists.
  6. Weakness: the people drawn can still refuse, and those who refuse may share a feature that then goes missing from the sample.
  7. Weakness: chance alone can produce an odd mix, such as 18 girls in a sample of 20 drawn from a mixed school.
Note
  • In a school study the population is often taken to be one year group, because that is the only list the researcher can actually get hold of.
  • Narrowing the population that way makes random sampling possible, and at the same time narrows the group the finding can be applied to.

Opportunity sampling

  1. Opportunity sampling uses whoever is available and willing at the time.
  2. In practice the researcher goes to one place at one time and asks the people there, such as the pupils in the canteen at lunch.
  3. Strength: it is the quickest and cheapest method and needs no list of the population.
  4. Strength: it fits a small study that has to be finished inside a single lesson.
  5. Weakness: it reaches only whoever happens to be in that place at that time, so the sample is tied to one setting and one moment.
  6. Weakness: the researcher chooses who to approach, so their own preferences can shape the sample.
  7. Weakness: a narrow sample lowers population validity, so a finding from 20 pupils in one canteen says little about Year 11 nationally.

Self-selected sampling

  1. Self-selected sampling means participants put themselves forward, which is why it is also called volunteer sampling.
  2. The researcher advertises, perhaps with a poster on the form room door or a message in a tutor group chat, and uses whoever replies.
  3. Strength: it takes little effort from the researcher, since the participants come forward on their own.
  4. Strength: volunteers are willing, so fewer of them drop out part way through a long study.
  5. Strength: it can reach people who would be hard to find any other way, such as anyone who has trouble getting to sleep.
  6. Weakness: volunteers tend to be one type of person, often more confident, more interested or keener to please the researcher.
  7. Weakness: that shared feature lowers representativeness, so the finding applies to keen volunteers more than to the population named.
  8. Weakness: a keen volunteer wants the study to work, which makes demand characteristics more likely.
Common Mistake
  • An opportunity sample is whoever was available at the time, which is not the same as a random sample, where everyone in the population had an equal chance of selection.
  • Self-selected participants reply to an advert and an opportunity sample is approached by the researcher, so the two methods are told apart by who made the first move.

Sample size

  1. A larger sample is more likely to be representative, because one unusual participant shifts the mean less.
  2. With 5 participants one very high score drags the mean upwards, and with 50 the same score barely moves it.
  3. A big sample costs more time, more money and more materials, so the size chosen is the largest one the study can actually run.
  4. A large sample drawn from one narrow group is still biased, so size is judged separately from representativeness.
  5. Sample size can be given as a fraction of the population, so 20 pupils out of a year group of 300 is 20 over 300, which cancels to 1/15, or about 6.7%.
Note
  • No fixed number makes a sample large enough, so the size is judged against the population it has to stand for.
  • A sample of 20 out of a year group of 300 is 1 in 15 of that year group, while the same 20 would be a tiny fraction of Year 11 nationally.

Principles of sampling in science

  1. The sample is chosen so that the results stand for the population rather than only for the people tested.
  2. The sampling method is written down in enough detail for another researcher to copy it exactly.
  3. Running the study again with a fresh sample from the same population is how psychologists check that a finding is reliable rather than a one-off.
  4. Sampling sets how far a finding can be generalised, and the measure used sets whether the study captured the right behaviour.

Describing a sampling method

  1. Name the target population first, as in "Year 10 pupils at one school".
  2. Give the method and the number, such as an opportunity sample of 20 pupils from that year group.
  3. Set out the actual steps, such as standing by the canteen door at lunch and asking the first 20 pupils who agree.
  4. Choose a method that can be carried out with the time, the space and the people available.
  5. Give one weakness of the method chosen and say what it costs the generalisation.
  6. When judging a sample that is already described, use its own numbers to show how far it matches the population.

Turning this into marks

  1. When a method and a weakness are both asked for, keep them as two separate points, one naming the method and one naming what it costs the generalisation.
  2. Name the population, such as Year 11 pupils at one school in Cardiff, because "teenagers" does not secure the knowledge mark.
  3. Describe the steps, such as numbering all 300 names and drawing 20 of them from a hat, rather than giving the label on its own.
  4. The mark most often lost is calling an opportunity sample random, when nobody outside the canteen had any chance of being picked.
Self review
  • What is a target population?
  • Describe the steps needed to obtain a random sample.
  • How does opportunity sampling differ from self-selected sampling?
  • Give one strength and one weakness of self-selected sampling.
  • Why can a large sample still be unrepresentative?
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Diagram showing random, opportunity, and self-selected sampling from a school pupil population

The target population is the whole group that a study is about and wants its findings to apply to. A sample is the smaller group of people who actually take part.

The target population must be named precisely. For example, “all Year 11 pupils in the UK” is much wider than “Year 11 pupils at one school in Cardiff.” A conclusion is only as wide as the sample supports.

Studying 20 pupils in one school can support a claim about those pupils, but not automatically about all Year 11 pupils in the UK.

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Why must a researcher name the target population precisely?

7.1.4 Populations and Sampling Revision Guide

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Revision notes for OCR GCSE Psychology 7.1.4 Populations and Sampling: explanations and worked examples.

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