What is Simpson's Paradox?

A trend appears in several groups but reverses when the groups are combined. Famous examples include UC Berkeley admissions gender bias and COVID-19 mortality rates by country.

How do you avoid Simpson's Paradox errors?

Always disaggregate data by relevant confounding variables before drawing conclusions from aggregated statistics. Ask what lurking variable might flip the trend.

Simpson's Paradox Aggregation Reversal Detector

Formula Definitions

The Simpson's Paradox Aggregation Reversal Detector works by applying a well-defined formula to the values you enter. Understanding the formula behind the calculation helps you interpret the result and check that your inputs are correct. Below we break down the key components that drive the Simpson's Paradox.

The core formula used by this calculator is:

Result = f(inputs, settings)

Each variable in the formula has a specific meaning:

inputs — Values entered into the Simpson's Paradox.
settings — Options, units, or parameters that adjust how the calculation is performed.
Result — Computed output for the chosen inputs and settings.

How to Use This Calculator

Enter the required values. Enter the required values into the Simpson's Paradox Aggregation Reversal Detector input fields.
Adjust settings. Adjust any settings, select applicable options, or choose units as needed.
Calculate the result. Press Calculate to compute the result using the underlying formula.
Interpret the output. Review and interpret your result using the provided context, reference ranges, or explanatory notes.

Glossary and Definitions

Input: A value entered into the calculator to be processed.
Output: The computed result returned by the calculator for the given inputs.
Setting: An option that adjusts how the calculation is performed, such as unit selection or mode.
Simpson's paradox: A key concept referenced by the Simpson's Paradox: Detect and analyze Simpson's Paradox in datasets where aggregated trends reverse when data is disaggregated by subgroups. Calculate confounding variable strength and identify misleading aggregate statistics.
Aggregation reversal: A key concept referenced by the Simpson's Paradox: Detect and analyze Simpson's Paradox in datasets where aggregated trends reverse when data is disaggregated by subgroups. Calculate confounding variable strength and identify misleading aggregate statistics.
Confounding variable: A key concept referenced by the Simpson's Paradox: Detect and analyze Simpson's Paradox in datasets where aggregated trends reverse when data is disaggregated by subgroups. Calculate confounding variable strength and identify misleading aggregate statistics.
Statistical paradox: A key concept referenced by the Simpson's Paradox: Detect and analyze Simpson's Paradox in datasets where aggregated trends reverse when data is disaggregated by subgroups. Calculate confounding variable strength and identify misleading aggregate statistics.

Related Calculators

Berkson's Paradox

Miscellaneous Niche

Survivorship Bias