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McNemar Paired Proportion Statistic Calculator — result sheet
Calculate the continuity-corrected McNemar chi-square statistic from discordant paired counts.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Continuity-corrected chi-square=(|b−c|−1)²/(b+c) when b+c>0.
The page returns the paired-discordance statistic and leaves p-value thresholds to a chosen reference distribution and degrees-of-freedom convention.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Discordant count b — minimum 0; maximum 1000000000000
- Discordant count c — minimum 0; maximum 1000000000000
Worked example
| Input | Value |
|---|---|
| Discordant count b | 20 |
| Discordant count c | 10 |
Continuity-corrected chi-square ≈2.7.
Assumptions and limits
- Counts are nonnegative whole numbers from paired binary outcomes.
- The continuity-corrected statistic is selected.
- Exact p-values, study design, dependence beyond pairs, 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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