Question: The article Understanding Nonparametric Tests explains what a nonparametric test is and provides a real-world example: A nonparametric test is a hypothesis test that does
The article "Understanding Nonparametric Tests" explains what a nonparametric test is and provides a real-world example:
A nonparametric test is a hypothesis test that does not require the population's distribution to be characterized by certain parameters. For example, many hypothesis tests rely on the assumption that the population follows a normal distribution with parametersand
. Nonparametric tests do not have this assumption, so they are useful when your data are strongly nonnormal and resistant to transformation. However, nonparametric tests are not completely free of assumptions about your data. For instance, nonparametric tests require the data to be an independent random sample. For example, salary data are heavily skewed to the right, with many people earning modest salaries and fewer people earning larger salaries.
- Identify which types of nonparametric test(s) you would apply to the data mentioned in each of the following questions:
- Is the self-reported height on dating website profiles equal to the median height of the general population?
- Is the median self-reported salary on paid online dating sites greater than the median self-reported salary on free online dating sites?
- Is the median age of dating-service users different for personal matchmaking services, paid online dating sites, and free online dating sites?
- How does education level affect the number of profile likes on paid online dating sites and free online dating sites?
- Describe why you selected the specific nonparametric test for each question. Fully explain your answers.
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