Study Planning Tool

Counterbalancing & Randomization Planner

Create reproducible participant schedules, inspect positional balance, and export an assignment plan before data collection begins.

Choose a design

Select the structure that matches how participants experience conditions.

Balanced Latin squareWithin-subject. Balances position and immediate carryover.RecommendedCyclic Latin squareWithin-subject. Balances position with fewer sequence constraints.Balanced assignmentBetween-subject. Assigns one condition using randomized blocks.

Define the study

Enter one condition per line and choose the planned sample size.

Input Type:

Conditions

Between 2 and 12 unique conditions (one per line).

Participants

Participant prefix

Randomization seed

Reuse the same seed to reproduce an identical plan.

Assignment plan

Balanced within-subject condition orders.

Participants: 24
Conditions: 4
Base sequences: 4
Balance: Complete cycles

Balance diagnostics

Position balanced

Each condition appears equally often in every position.

Participant schedule

24 assignments

Participant	Sequence	Condition Order / Assignment

Counterbalancing & Experimental Design References(2 papers)

View References

Foundational literature on Williams Latin Squares and balanced design strategies:

[1]

Williams, E. J. (1949). Experimental designs balanced for the estimation of residual effects of treatments. Australian Journal of Scientific Research, Series A, 2, 149-168.

DOI

[2]

Bradley, J. V. (1958). Complete counterbalancing of immediate sequential effects in a Latin square design. Journal of the American Statistical Association, 53(282), 525-528.

DOI

All planning and randomization happen in this browser. Nothing is uploaded; CSV export creates a file on this device.