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One-Way ANOVA Degrees of Freedom Calculator — result sheet
Calculate total, between-group, and within-group degrees of freedom from sample size and group count.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: dfTotal=n−1; dfBetween=g−1; dfWithin=n−g.
The three degrees-of-freedom components are returned together and the group-count feasibility check is explicit.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Total observations — minimum 2; maximum 1000000
- Number of groups — minimum 2; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Total observations | 40 |
| Number of groups | 4 |
Total df =39, between df =3, within df =36.
Assumptions and limits
- Observations and groups are positive whole numbers with at least one residual degree of freedom.
- The design is a one-way fixed-group ANOVA layout.
- Sums of squares, p-values, balance, diagnostics, and causal interpretation are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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