Perform the Mcnemar exact test with a = , b = , c = , and d = , with level of significance
determine the null and alternative hypothesis, critical value, test statistic
The table setup below
| Column 1 | Column 2 | Row Total | |
| Row 1 | a | b | a + b |
| Row 2 | c | d | c + d |
| Column Total | a + c | b + d | n = (a + b + c + d) |
Plugging in our a, b, c, and d values, we get:
| Column 1 | Column 2 | Row Total | |
| Row 1 | + | ||
| Row 2 | + | ||
| Column Total | + | + | n = ( + + + ) |
Evaluating, we get:
| Column 1 | Column 2 | Row Total | |
| Row 1 | 0 | ||
| Row 2 | 0 | ||
| Column Total | 0 | 0 | 0 |
Display null and alternative hypothesis:
H0: pb = pc
H1: pb ≠ pc
Calculate the Mcnemar test statistic:
| Χ2 = | (b - c)2 |
| b + c |
| Χ2 = | ( - )2 |
| + |
| Χ2 = | 02 |
| 0 |
| Χ2 = | 0 |
| 0 |
Χ2 = NAN
Calculate the critical value:
χ2 = <--- Value can be found on Excel using =CHIINV(,1)
Draw our conclusion:
Since our test statistic of NAN > χ2 value of ,
it is in the rejection region, so we reject H0
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What is the Answer?
Since our test statistic of NAN > χ2 value of ,
it is in the rejection region, so we reject H0
How does the Mcnemar Test Calculator work?
Free Mcnemar Test Calculator - Given a 2 x 2 contingency table and a significance level, this will determine the test statistic, critical value, and hypothesis conclusion using a Mcnemar test.
This calculator has 5 inputs.
What 1 formula is used for the Mcnemar Test Calculator?
Χ2 = (b - c)2/(b + c)For more math formulas, check out our Formula Dossier
What 5 concepts are covered in the Mcnemar Test Calculator?
- alternative hypothesis
- opposite of null hypothesis. One of the proposed proposition in the hypothesis test.
H1 - hypothesis
- statistical test using a statement of a possible explanation for some conclusions
- mcnemar test
- used to determine if there are differences on a dichotomous dependent variable between two related groups.
- null hypothesis
- in a statistical test, the hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling or experimental error.
H0 - test statistic
- a number calculated by a statistical test
