Gauge repeatability study calculator

Calculate pooled repeatability standard deviation and residual degrees of freedom with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use pooled repeatability standard deviation and residual degrees of freedom to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Fixed item repeat groups JSON [[readings in one measurement unit],...]
[[9,10,11],[19,20,21]]
Pooled repeatability standard deviation (measurement units)
1
Residual degrees of freedom
4
Item means (measurement units)
[10,20]

Try another scenario

Fixed item repeat groups JSON [[readings in one measurement unit],...]
[[8,10,12],[18,20,22]]
Pooled repeatability standard deviation (measurement units)
2
Residual degrees of freedom
4
Item means (measurement units)
[10,20]
Calculation method

Calculation method

Pooled repeatability standard deviation (measurement units)

sqrt(sum_i sum_j (xij-mean_i)^2 / sum_i(ni-1)).

Residual degrees of freedom

sum_i(ni-1).

Item means (measurement units)

Mean within each fixed-item group.

Symbols and units
a
Fixed item repeat groups JSON [[readings in one measurement unit],...]

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Same instrument/operator repeatability for stable fixed items. Pooling presumes common within-item variance; excludes operator reproducibility and part variance. Supported limits: 1..100 groups; each 2..100 replicates; finite numbers.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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