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Full-model R squared — Incremental Regression Effect Size Calculator

Incremental Regression Effect Size: Calculate full-model r squared from Incremental f squared, Reduced-model R squared. Check the formula, input units and worked result on this page.

Enter your values

Formula symbol: f. Enter a numeric value. Use a non-negative value.
%
Formula symbol: reduced. Enter the percentage as a number: for 15%, enter 15. Use a non-negative value. Allowed range: 0–99.999999.

Use a decimal point, without thousands separators.

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.
Example result
Full-model R squared
60 %

The initial result uses the example values. Enter your own values and calculate again.

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How it works

The full-minus-reduced R squared difference is divided by the full model’s unexplained share. This form solves for full-model r squared; enter the known quantities in Incremental f squared, Reduced-model R squared.

Inputs and units
Full-model R squared — Incremental Regression Effect Size Calculator · Inputs and units
InputExample valueWhat to enter
Incremental f squared0.5Formula symbol: f. Enter a numeric value. Use a non-negative value.
Reduced-model R squared40 %Formula symbol: reduced. Enter the percentage as a number: for 15%, enter 15. Use a non-negative value. Allowed range: 0–99.999999.
full = (((100 * f) + reduced) / (1 + f))

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
Reduced-model R squared
40 %

Complete example results

Full-model R squared
60 %

Reading the result

The result solves for full-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 full-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

Methods & accuracy

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