Gibrat Growth Law Checker

Test Gibrat's law of proportional growth by comparing average growth rates of large and small units against a tolerance.

Description

Test Gibrat's law of proportional growth by comparing average growth rates of large and small units against a tolerance.

Gibrat Growth Law Checker is a focused tool for the following task. Test Gibrat's law of proportional growth by comparing average growth rates of large and small units against a tolerance. It reports Growth gap, Proportional growth from the values you provide rather than inventing measurements, coefficients, or professional judgment that are not part of the input.

When to use Gibrat Growth Law Checker

Use this sociology calculation to reproduce a named demographic, inequality, mobility, urban, or survey measure when the population, period, categories, and coding rules are explicit.

Large group growth (%)
Required number in %. Mean growth rate of the large-unit group.
Small group growth (%)
Required number in %. Mean growth rate of the small-unit group.
Tolerance (%)
Optional number in %. Largest percentage-point gap still counted as proportionate growth.

The cited overview of Sociology supplies background for the terminology and domain context used by this tool.1

How Gibrat Growth Law Checker works

Test Gibrat's law of proportional growth by comparing average growth rates of large and small units against a tolerance. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

Growth gap (%)
Returned number in %. Absolute difference between the two growth rates.
Proportional growth
Returned boolean. Whether the rates match within the tolerance.

Limitations and assumptions

  • Definitions, sampling error, missing data, historical context, geographic boundaries, weighting, and classification choices can materially change social indicators and their interpretation.
  • Tolerance must be at least 0.
  • Use finite inputs in the displayed units, preserve source measurements and assumptions, and independently verify consequential decisions.

Alternative or Complementary approaches

Report the source population and uncertainty, inspect disaggregated data, and compare multiple accepted indicators rather than treating one summary statistic as a complete social explanation.

References

  1. Sociology — Wikipedia contributors

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