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Non-parametric test

As explained in Effective Data Analysis

A non-parametric statistical test evaluates evidence without requiring a specified parametric distributional form for the data.

A non-parametric test evaluates evidence without assuming a specific underlying distribution for the data. It provides an alternative when parametric assumptions are unknown or cannot be met. section 5.2

Use non-parametric tests to make inferences about a broader population when a t-test, ANOVA, or another parametric method may produce unreliable results. section 5.0 section 5.2

Choose and communicate the method responsibly:

  • Start with the question and study design rather than forcing the analysis into a familiar statistical model. section 2.1.3
  • Consider non-parametric alternatives for group differences, correlations, and predictive or causal relationships. section 5.1.2
  • Use the flexibility of these methods for categorical or ordinal data when the relevant parametric assumptions are not satisfied. section 5.2
  • Check sample characteristics and test assumptions carefully; choosing an unsuitable method can create false group differences and costly organizational decisions. section 4.2 section 5.1.2

Before-and-after product comparison

An analyst compares daily Help Center visits and chat requests before and after a search-functionality change with an independent-samples t-test, then adds a non-parametric test for the final comparison when supported by the analysis plan. section 2.1.3

How Effective Data Analysis covers it

How deep it goes
Defines the method class and selection rationale, but does not detail individual tests, equations, or calculation procedures.
Examples
Uses a before-and-after product-change analysis involving Help Center visits, chat requests, and an added non-parametric comparison.
What it assumes
Assumes familiarity with inferential statistics and parametric tests while emphasizing assumptions, limitations, and responsible method choice.
What you can do after
Apply it via Python, R, SPSS, SAS, or STATA to evaluate data when parametric assumptions are unsuitable.
How it connects
Connects group differences, correlations, predictive relationships, t-tests, ANOVA, Pearson correlation, and chi-square testing.

Related concepts

This explainer was generated by Manning's knowledge graph from the text of Effective Data Analysis. The section links point to the parts of the book it draws on.