CAIE A-Level Further Mathematics 4.4.1 Non-Parametric Tests

Practise explaining why a rank- or sign-based test is preferable when the relevant population distribution, or paired differences, cannot be assumed normal.

Exam points

refer to the population distribution, not merely the sample data, when normality is doubtful
for paired data, identify non-normal or non-symmetric population differences as the failed assumption

[Maximum number: 1]

State briefly the circumstances under which a non-parametric test of significance should be used rather than a parametric test.

The level of pollution in a river was measured at 12 randomly chosen locations. The results, in suitable units, are shown below, where higher values represent greater pollution.

Table for Question 4.4.1—Non-parametric tests question 1 — CAIE A-Level Further Math A2

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4.4.1—Non-parametric tests question 1