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THE FEUTEX TOOLKIT

Cluster Sampling Design Effect

Estimate sample inflation from average cluster size and within-cluster correlation.

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FormulaDesign Effect = 1+(m-1)*rho; Effective Sample = n/(1+(m-1)*rho)
Sources and model references

Made for real tasks

  • Estimate sample inflation from average cluster size and within-cluster correlation.
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Worked example

Inputs

Average cluster size
20 number
Intraclass correlation
0.05 correlation
Nominal sample size
400 count

Expected results

Design Effect
1.95 number
Effective Sample
205.1282051 observations

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter average cluster size, intraclass correlation, nominal sample size.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "m": 20,
  "rho": 0.05,
  "n": 400
}

Accuracy and scope

Equal cluster size approximation; unequal sizes, weighting, stratification and finite population corrections are excluded.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.