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THE FEUTEX TOOLKIT

Nested Regression F Comparison

Compare reduced and full least-squares models using residual sums of squares.

Statistics workspace● Runs in your browser
01 Your input
02 Your result
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FormulaF = ((reduced-full)/(pf-pr))/(full/(n-pf)); Df Numerator = pf-pr; Df Denominator = n-pf
Sources and model references

Made for real tasks

  • Compare reduced and full least-squares models using residual sums of squares.
Explore step-by-step workflows →

Worked example

Inputs

Reduced residual sum of squares
150 number
Full residual sum of squares
100 number
Reduced parameter count
2 count
Full parameter count
4 count
Observation count
50 count

Expected results

F
11.5 number
Df Numerator
2 number
Df Denominator
46 number

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter reduced residual sum of squares, full residual sum of squares, reduced parameter count, full parameter count, observation count.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "reduced": 150,
  "full": 100,
  "pr": 2,
  "pf": 4,
  "n": 50
}

Accuracy and scope

Nested linear models on the same observations with homoscedastic independent normal errors. Counts include the intercept; no p-value.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.