McNemar Test Calculator
Tests marginal symmetry in paired binary data from the two discordant cell counts. This page keeps exact binomial test of discordant pairs visible, calculates the worked values immediately, and explains how changed from yes to no and changed from no to yes shape the reported mcnemar test.
Prepare the values needed for mcnemar test
Data-based mcnemar test
Testing the statistical question for McNemar Test
Recalculate mcnemar test from the same premise: The page directly tests marginal symmetry in paired binary data from the two discordant cell counts.
The requested output is McNemar test, not a general verdict about a population or decision; keep that fact with the mcnemar test record. Its numerical meaning comes from exact binomial test of discordant pairs, and its substantive meaning comes from how the source quantities were measured; a clear statement of it makes mcnemar test reproducible.
Analysts commonly use this calculation when quantifying how compatible observed data are with a precisely stated null model, a distinction that matters when relying on mcnemar test. The page therefore separates the input labels from the answer and leaves the defining relationship available for review; a second reading of mcnemar test should consider the same point.
Understanding the source values for McNemar Test
The default condition is Changed from yes to no = 7 pairs; Changed from no to yes = 19 pairs; use the same condition when comparing mcnemar test values. These entries must describe one coherent dataset, study, model, or planning scenario; combining unrelated populations or periods can yield correct arithmetic for an invalid comparison, keeping the mcnemar test workflow transparent.
- Changed from yes to no: The worked entry is 7 pairs; it defines the observed condition behind mcnemar test through exact binomial test of discordant pairs. For this mcnemar test field, do not silently replace a missing observation with zero; the interface accepts values at least 0 while following exact binomial test of discordant pairs.
- Changed from no to yes: The worked entry is 19 pairs; it determines the source value used in mcnemar test through exact binomial test of discordant pairs. For this mcnemar test field, confirm that its population and time boundary match the other entries; the interface accepts values at least 0 while following exact binomial test of discordant pairs.
Keep the unrounded result from exact binomial test of discordant pairs until every dependent calculation has been completed; this preserves the intended interpretation of mcnemar test under exact binomial test of discordant pairs.
Tracing the printed relationship for McNemar Test
exact binomial test of discordant pairs
Read the symbols as a map from the labeled inputs to mcnemar test; this context belongs beside any decision based on mcnemar test. For mcnemar test, preserve parentheses, powers, roots, logarithms, denominators, tail rules, or ordering exactly as printed because changing any of them defines another statistic.
Label each intermediate quantity for mcnemar test by its statistical role instead of relying on its position in the form; the result should remain consistent with the structure of exact binomial test of discordant pairs.
Reviewing the worked case for McNemar Test
The displayed defaults are Changed from yes to no = 7 pairs; Changed from no to yes = 19 pairs; this context belongs beside any decision based on mcnemar test.
Seven versus 19 discordant pairs give an exact two-sided p-value of about 0.029.
The live default result is Discordant pairs 26 · Exact two-sided p-value 0.02895927 · Absolute discordance difference 12 pairs; make that point explicit in the source record for mcnemar test. In this mcnemar test calculation, that fixed case is useful for checking a copied formula, spreadsheet, code revision, or unit convention without inventing a second dataset.
A good manual reconstruction does not need to duplicate every interface step, which is the rule applied here for mcnemar test. When reporting mcnemar test, recalculate the most informative intermediate quantity in exact binomial test of discordant pairs, then confirm that its direction, sign, and approximate size agree with the displayed mcnemar test.
Evaluating the result in context for McNemar Test
Concordant pairs do not enter the test statistic, although they remain part of the study description; include that condition when boundary-testing mcnemar test.
A p-value is conditional on the null model and analysis plan; it is neither the probability that the null is true nor an effect magnitude; a clear statement of it makes mcnemar test reproducible.
Interpret mcnemar test together with the sample construction, measurement scale, exclusions, and analysis date; a second reading of mcnemar test should consider the same point. One safeguard for mcnemar test is straightforward: Another decimal place cannot repair selection bias, incompatible definitions, an inappropriate distribution, or a reversed comparison.
Recording the next analysis step for McNemar Test
For a related check, open fisher exact test if the reporting goal shifts beyond this page's result.
Another stage of the workflow may require one way anova while preserving the original population and measurement definitions.
Reporting an independent check for McNemar Test
Confirm the test statistic, reference distribution, degrees of freedom, and one-sided or two-sided rule as separate steps, keeping the mcnemar test workflow transparent.
Restore the worked inputs after experimentation so the reference mcnemar test case remains reproducible; this preserves the intended interpretation of mcnemar test under exact binomial test of discordant pairs.
For mcnemar test, vary changed from yes to no while holding the other entries fixed and predict the change before recalculating. An audit of mcnemar test turns on a specific detail: Then restore the example and vary changed from no to yes; disagreement between the prediction and exact binomial test of discordant pairs often reveals a transposed field, wrong scale, or mistaken direction.
Setting up the method boundary for McNemar Test
In this mcnemar test calculation, the calculator evaluates the quantities supplied to exact binomial test of discordant pairs; it does not verify how observations were collected, whether assumptions were met, or whether mcnemar test is the right endpoint for the decision at hand.
When reporting mcnemar test, boundary behavior deserves explicit attention. Recalculate mcnemar test from the same premise: Check zero denominators, proportions outside their stated scale, impossible counts, insufficient observations, unsupported distribution parameters, and rounded inputs before treating the output as stable.
Confirm that changed from yes to no and changed from no to yes refer to the same analysis condition throughout exact binomial test of discordant pairs; the result should remain consistent with the structure of exact binomial test of discordant pairs.
Working through a reporting record for McNemar Test
To reconstruct mcnemar test, save the entered values (Changed from yes to no = 7 pairs; Changed from no to yes = 19 pairs), the relationship exact binomial test of discordant pairs, the unrounded calculator output, and the date of analysis. Also retain any exclusions, missing-data treatment, tail choice, confidence level, allocation rule, lag, or parameter convention that affects this particular method; keep that fact with the mcnemar test record.
A practical mcnemar test check begins with this point: Report mcnemar test with units or scale where applicable and with enough significant digits for the next calculation. Round the published value only after dependent arithmetic is complete, and label a revised input scenario as a new result rather than overwriting the original record, a distinction that matters when relying on mcnemar test.
Carry enough precision through exact binomial test of discordant pairs to prevent early rounding from moving the reported result; record the outcome from exact binomial test of discordant pairs before changing another input.
Making sense of scale, direction, and edge cases for McNemar Test
One safeguard for mcnemar test is straightforward: A magnitude check for mcnemar test starts with the input scale. Counts, proportions, percentages, rates, standardized values, and transformed parameters are not interchangeable even when their bare numbers look similar; use the same condition when comparing mcnemar test values.
The evidence behind mcnemar test should support this statement: Use exact binomial test of discordant pairs to predict whether increasing changed from yes to no should raise, lower, or leave the answer unchanged. A sign reversal or implausible order of magnitude deserves investigation before any narrative interpretation is written; this context belongs beside any decision based on mcnemar test.
An audit of mcnemar test turns on a specific detail: Edge cases for mcnemar test should be chosen from the method rather than at random: examine an allowable boundary, a central case, and a value near a denominator, tail, rank, or support limit when one exists.
Validating the evidence needed for a decision for McNemar Test
Interpret mcnemar test with this condition in view: Before using mcnemar test in a decision, identify the action it is meant to inform and the consequence of error. The calculator supplies a statistical quantity, while thresholds, costs, benefits, and acceptable uncertainty belong to the surrounding decision process, which is the rule applied here for mcnemar test.
Recalculate mcnemar test from the same premise: Pair the displayed value with the evidence most capable of revealing its weaknesses: raw observations for a summary, counts for a rate, residuals for a fitted model, interval width for an estimate, or alternative assumptions for a design calculation.
If changed from yes to no or changed from no to yes comes from an estimate rather than a direct measurement, explain that additional uncertainty instead of presenting mcnemar test as though every input were known exactly; keep that fact with the mcnemar test record.
Method questions concerning mcnemar test
When should mcnemar test be recalculated?
Recalculate whenever a source value, exclusion, grouping rule, observation window, confidence setting, or model convention changes; a revised assumption creates a new scenario even if the rounded mcnemar test happens to match; make that point explicit in the source record for mcnemar test.
How many digits should be reported for mcnemar test?
Carry the unrounded output through later arithmetic, then report precision supported by the measurements and purpose; extra digits do not remove sampling, model, or measurement uncertainty from mcnemar test, which is the rule applied here for mcnemar test.
What should accompany mcnemar test in a report?
Include entered values, units, the dataset or population boundary, date, exclusions, method convention, and exact binomial test of discordant pairs so a reader can reproduce mcnemar test and understand what it does not establish; include that condition when boundary-testing mcnemar test.
What exactly does mcnemar test describe here?
It is the output of exact binomial test of discordant pairs for the displayed changed from yes to no and changed from no to yes; the entered condition does not by itself establish a broader population or causal claim, a distinction that matters when relying on mcnemar test.
How can the default mcnemar test example be checked?
Start from Changed from yes to no = 7 pairs; Changed from no to yes = 19 pairs, reproduce one intermediate term in exact binomial test of discordant pairs, and compare with Discordant pairs 26 · Exact two-sided p-value 0.02895927 · Absolute discordance difference 12 pairs; restore the defaults before testing a second scenario so the records remain distinguishable; use the same condition when comparing mcnemar test values.
Why might software produce another mcnemar test value?
Programs may differ in rounding, missing-value handling, ties, tails, interpolation, parameterization, or finite-sample corrections; compare their implementation of exact binomial test of discordant pairs and each input definition before treating either output as erroneous; this context belongs beside any decision based on mcnemar test.