Non-parametric statistics

• Nominal data: Nominal data is data that can be categorized, but the categories are not ranked. For example, the gender of a respondent would be nominal data. Non-parametric statistics can be used to compare the proportion of participants in each category between different groups.

Here are some other examples of where non-parametric statistics might be used:

• Comparing the time it takes two groups of people to complete a task
• Comparing the number of defects in two products
• Comparing the survival rates of two groups of patients
• Comparing the preferences of two groups of people for different products or services

Non-parametric statistics are a powerful tool for analyzing data that does not meet the assumptions of parametric statistics. By using non-parametric statistics, researchers can be confident that their results are reliable, even if their data is not normally distributed or has a small sample size.

It is important to note that non-parametric statistics are not always as powerful as parametric statistics. This means that they may be less likely to detect a statistically significant difference between two groups, even if there is a true difference. However, non-parametric statistics are a good option when parametric statistics cannot be used.

Non-parametric statistics are used when determining the statistical measure of some types of completed research because they do not make any assumptions about the distribution of the data. This is important when the data is not normally distributed, or when the sample size is small.

Two examples of where non-parametric stats would be used are:

• Ordinal data: Ordinal data is data that can be ranked, but the difference between each rank is not necessarily equal. For example, a satisfaction survey with the answer choices "Very Satisfied," "Satisfied," "Neutral," "Dissatisfied," and "Very Dissatisfied" would be ordinal data. Non-parametric statistics can be used to compare the median satisfaction scores of different groups of respondents.