CFA Level I · CFA Level I Exam · Estimation and Hypothesis Testing
Which of the following is the most likely reason an analyst would choose a nonparametric test rather than a parametric test?
Data given as ranks rather than measured values most likely call for a nonparametric test. Ranks are ordinal and do not support means and variances, so parametric tests do not apply. Large samples and known variances generally support parametric tests instead.
- AThe sample size is very large
- BThe data are given as ranks rather than as measured valuesCorrect
- CThe population variance is known
Explanation
Ranked or ordinal data do not support parameters such as the mean and variance, so rank-based nonparametric tests such as the Spearman rank correlation are used. A large sample or known variance typically favors parametric methods, which are valid under those conditions.
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