How it works
The full-minus-reduced R squared difference is divided by the full model’s unexplained share. This form solves for reduced-model r squared; enter the known quantities in Incremental f squared, Full-model R squared.
Inputs and units
| Input | Example value | What to enter |
|---|---|---|
| Incremental f squared | 0.5 | Formula symbol: f. Enter a numeric value. Use a non-negative value. |
| Full-model R squared | 60 % | Formula symbol: full. Enter the percentage as a number: for 15%, enter 15. Use a non-negative value. Allowed range: 0–99.999999. |
Worked example
Show example inputs and results
This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.
- Incremental f squared
- 0.5
- Full-model R squared
- 60 %
Complete example results
- Reduced-model R squared
- 40 %
Reading the result
The result solves for reduced-model r squared from the entered quantities. Check the result unit and the formula conditions before using it.
Questions and answers
Can I use the example values for my own calculation?
The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.
When can I use the reduced-model r squared result?
Models need the same outcome and data; full-model R squared cannot be lower than reduced-model R squared. This f squared ratio is not a p-value or causal effect.
Why are some results rounded?
Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.
Are my inputs sent to a server?
The calculator processes inputs in your browser. Its code does not send your values to a server.
Method sources: frontiersin.org