Laboratory plate randomization calculator

Calculate seeded plate layout [row1-based,column1-based,condition] and unused available wells with your own figures.

Your numbers

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

Use seeded plate layout [row1-based,column1-based,condition] and unused available wells to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Conditions [name,replicate count]
[["Control",3],["Treatment",3]]
Plate rows
3
Plate columns
4
Blocked zero-based well indices; JSON array, [] for none
[0,11]
Randomization seed
42
Seeded plate layout [row1-based,column1-based,condition]
[[2,3,"Control"],[2,1,"Control"],[3,1,"Control"],[2,4,"Treatment"],[3,2,"Treatment"],[3,3,"Treatment"]]
Unused available wells
4

Try another scenario

Conditions [name,replicate count]
[["Control",3],["Treatment",3]]
Plate rows
3
Plate columns
4
Blocked zero-based well indices; JSON array, [] for none
[0,11]
Randomization seed
43
Seeded plate layout [row1-based,column1-based,condition]
[[2,4,"Control"],[3,1,"Control"],[2,3,"Control"],[2,2,"Treatment"],[2,1,"Treatment"],[1,2,"Treatment"]]
Unused available wells
4
Calculation method

Calculation method

Seeded plate layout [row1-based,column1-based,condition]

Fisher–Yates shuffle available wells with LCG; assign declared replicate labels; blocked wells never used.

Unused available wells

Available capacity minus replicate count.

Symbols and units
a
Conditions [name,replicate count]
b
Plate rows
c
Plate columns
d
Blocked zero-based well indices; JSON array, [] for none
e
Randomization seed

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

  • Conditions, replicate counts, blocked wells, seed. Returns Reproducible layout and balance checks. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Plate rows: minimum 1, maximum 32. Plate columns: minimum 1, maximum 48. Blocked zero-based well indices: minimum 0, maximum 1535. Randomization seed: minimum 0, maximum 4294967295.
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