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Milk Standardisation (Pearson Square) Calculator

Work out milk standardisation (pearson square) instantly with clear inputs, formula shown and shareable results.

About Milk Standardisation (Pearson Square) Calculator

The Pearson square solves a two-stream blend: parts of the higher-fat stream equal the target minus the lower fat, and parts of the lower-fat stream equal the higher fat minus the target. Scaling those parts to the batch volume gives the quantity of each. The target must lie between the two stream values.

Formulas

Pearson square

Parts of high stream = target - low fat; parts of low stream = high fat - target

Volumes

Volume = batch x parts / total parts

Worked example

With the default values below, Milk Standardisation (Pearson Square) Calculator returns Higher-Fat Stream Required of 710.84. Change any input above and every figure here is recalculated in your browser.

Inputs used

Fat In Higher-Fat Streamaccepts 0–60 %
4.2 %
Fat In Lower-Fat Streamaccepts 0–60 %
0.05 %
Target Fataccepts 0–60 %
3 %
Batch Volume Requiredminimum 0 L
1,000 L

Results

Higher-Fat Stream Required
710.84
Lower-Fat Stream Required
289.16
Parts Of Higher-Fat Stream
2.9500
Blend Feasibility
Target achievable by blending

Step by step

  1. 1Values used
  2. 2Pearson square
  3. 3Volumes
  4. 4Higher-Fat Stream Required= 710.84
  5. 5Lower-Fat Stream Required= 289.16
  6. 6Parts Of Higher-Fat Stream= 2.9500
  7. 7Blend Feasibility= Target achievable by blending

Assumptions and limits

  • The result is derived only from the 4 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Does the same method work for protein or solids?

Yes, for any single component blended from two streams. It is simply a linear mass balance and works for fat, protein, total solids or added ingredient percentage.

What about a three-stream blend?

The Pearson square cannot handle it. Use simultaneous mass balance equations, or fix one stream's quantity and apply the square to the remaining two.

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