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Cochran Q from Study Summaries

Calculate meta-analysis heterogeneity metrics from Q, study count, and inverse-variance weight sums.

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01 Your input
02 Your result
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FormulaI Squared = max(0,(q-(k-1))/q)*100; Tau Squared = max(0,(q-(k-1))/(sumw-sumw2/sumw)); Df = k-1
Sources and model references

Made for real tasks

  • Calculate meta-analysis heterogeneity metrics from Q, study count, and inverse-variance weight sums.
Explore step-by-step workflows →

Worked example

Inputs

Cochran Q
18 number
Number of studies
6 count
Sum of weights
20 number
Sum of squared weights
80 number

Expected results

I Squared
72.22222222 percent
Tau Squared
0.8125 number
Df
5 degrees of freedom

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 cochran q, number of studies, sum of weights, sum of squared weights.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "q": 18,
  "k": 6,
  "sumw": 20,
  "sumw2": 80
}

Accuracy and scope

DerSimonian–Laird moment estimate with inverse-variance weights; summaries must come from the same fixed-effect analysis.

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.