Binomial Effect Size Display Calculator
BinomialEffectSizeDisplaybalanced50percent base-rate illustration .5±r/2, not actual participant probability or causal group difference.
Description
A binomial effect-size display illustrates a correlation on a balanced 50% base-rate convention.
A binomial effect-size display illustrates a correlation on a balanced 50% base-rate convention.1
The illustrative fractions are not individual predictions. The calculation and input requirements are explained below.
When to use Binomial Effect Size Display Calculator
Enter a finite compatible correlation from -1 to 1.
How to use Binomial Effect Size Display Calculator and how it works
- Prepare the measurements or independently established model inputs described below, with matching units and observation scope.
- Enter the required fields and run Binomial Effect Size Display Calculator.
- Read the result fields using the formula, output units, signs and ordering explained below.
- Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualCompatibleCorrelation | Actual Compatible Correlation. Use the units and matching context stated in the calculation below. | number | Required; finite; other constraints below |
Enter a finite compatible correlation from -1 to 1. Return illustrative fractions 0.5+r/2 and 0.5-r/2. These are balanced-base-rate display values, not measured outcome probabilities.
illustrativeFractions=[0.5+r/2,0.5-r/2] Apply the input ordering, units and branch conditions stated above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the calculated or selected fields below. | object |
| result.illustrativeFirstGroupSuccessFraction | Illustrative First Group Success Fraction. Interpret its unit, sign, order or availability flag as explained above. | number |
| result.illustrativeSecondGroupSuccessFraction | Illustrative Second Group Success Fraction. Interpret its unit, sign, order or availability flag as explained above. | number |
{
"input": {
"actualCompatibleCorrelation": 0.4
},
"output": {
"result": {
"illustrativeFirstGroupSuccessFraction": 0.7,
"illustrativeSecondGroupSuccessFraction": 0.3
}
}
}Limitations and assumptions
The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.
All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.
Alternative or Complementary methods
Use Cliff Delta Nonoverlap Calculator for a complementary operation: Cliff's delta compares all cross-group observation pairs.
Use Common Language Effect Size Calculator for a complementary operation: Common-language effect size summarizes cross-group pairwise superiority.
References
-
Binomial Effect Size Display Calculator — tool.io
Similar or alternative tools
- Cliff Delta Nonoverlap Calculator
Cliff's delta compares all cross-group observation pairs.
- Common Language Effect Size Calculator
Common-language effect size summarizes cross-group pairwise superiority.