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XLeratorDB/statistics Documentation

SQL Server McNemar's chi-squared test


MCNEMAR_TV

Updated: 24 May 2013


Use the table-valued function MCNEMAR_TV to perform McNemar’s chi-squared test for symmetry of rows and columns in a two-dimensional contingency table.
Syntax
SELECT * FROM [wctStatistics].[wct].[MCNEMAR_TV](
  <@InputData_RangeQuery, nvarchar(max),>
 ,<@Correct, bit,>)
Arguments
@InputData_RangeQuery
a T-SQL statement, as a string, that specifies the test 1- and test 2-values.
@Correct
a bit value identifying whether or not to apply continuity correction when computing the test statistic.
Return Type
RETURNS TABLE (
      [X] [float] NULL,
      [P] [float] NULL
)

Column
Column Description
X
the test statistic
P
the p-value
Remarks
·         The function is insensitive to order; it does not matter what order the test 1- and test 2-values are passed in.
·         Test 1 and test 2 values are passed in as pairs.
·         MCNEMAR_TV only works with 2 test results.
·         For more than 2 test results, consider using KAPPA_COHEN_TV or KAPPA_FLEISS_TV.
Examples
SELECT *
INTO #m
FROM (
      SELECT 1,'B','A' UNION ALL
      SELECT 2,'B','B' UNION ALL
      SELECT 3,'A','A' UNION ALL
      SELECT 4,'B','A' UNION ALL
      SELECT 5,'A','A' UNION ALL
      SELECT 6,'A','A' UNION ALL
      SELECT 7,'B','A' UNION ALL
      SELECT 8,'B','A' UNION ALL
      SELECT 9,'A','B' UNION ALL
      SELECT 10,'B','A' UNION ALL
      SELECT 11,'B','B' UNION ALL
      SELECT 12,'A','A' UNION ALL
      SELECT 13,'A','B' UNION ALL
      SELECT 14,'A','A' UNION ALL
      SELECT 15,'B','B' UNION ALL
      SELECT 16,'A','A' UNION ALL
      SELECT 17,'A','A' UNION ALL
      SELECT 18,'B','B' UNION ALL
      SELECT 19,'B','A' UNION ALL
      SELECT 20,'B','A' UNION ALL
      SELECT 21,'B','A' UNION ALL
      SELECT 22,'B','A' UNION ALL
      SELECT 23,'A','A' UNION ALL
      SELECT 24,'B','A' UNION ALL
      SELECT 25,'A','A' UNION ALL
      SELECT 26,'A','A' UNION ALL
      SELECT 27,'B','A' UNION ALL
      SELECT 28,'B','B' UNION ALL
      SELECT 29,'A','B' UNION ALL
      SELECT 30,'B','B' UNION ALL
      SELECT 31,'B','B' UNION ALL
      SELECT 32,'B','A' UNION ALL
      SELECT 33,'A','B' UNION ALL
      SELECT 34,'A','B' UNION ALL
      SELECT 35,'B','A' UNION ALL
      SELECT 36,'B','A' UNION ALL
      SELECT 37,'A','A' UNION ALL
      SELECT 38,'A','A' UNION ALL
      SELECT 39,'B','B' UNION ALL
      SELECT 40,'A','A' UNION ALL
      SELECT 41,'B','A' UNION ALL
      SELECT 42,'A','B' UNION ALL
      SELECT 43,'B','B' UNION ALL
      SELECT 44,'B','A' UNION ALL
      SELECT 45,'B','B' UNION ALL
      SELECT 46,'A','B' UNION ALL
      SELECT 47,'A','A' UNION ALL
      SELECT 48,'A','A' UNION ALL
      SELECT 49,'B','B' UNION ALL
      SELECT 50,'B','B' UNION ALL
      SELECT 51,'B','A' UNION ALL
      SELECT 52,'A','B' UNION ALL
      SELECT 53,'A','A' UNION ALL
      SELECT 54,'A','B' UNION ALL
      SELECT 55,'A','B' UNION ALL
      SELECT 56,'B','A' UNION ALL
      SELECT 57,'B','B' UNION ALL
      SELECT 58,'A','A' UNION ALL
      SELECT 59,'B','B' UNION ALL
      SELECT 60,'B','A' UNION ALL
      SELECT 61,'B','A' UNION ALL
      SELECT 62,'A','B' UNION ALL
      SELECT 63,'B','B' UNION ALL
      SELECT 64,'B','A' UNION ALL
      SELECT 65,'B','B' UNION ALL
      SELECT 66,'B','A' UNION ALL
      SELECT 67,'B','A' UNION ALL
      SELECT 68,'B','A' UNION ALL
      SELECT 69,'B','A' UNION ALL
      SELECT 70,'B','A' UNION ALL
      SELECT 71,'B','A' UNION ALL
      SELECT 72,'B','A' UNION ALL
      SELECT 73,'B','B' UNION ALL
      SELECT 74,'A','A' UNION ALL
      SELECT 75,'B','A' UNION ALL
      SELECT 76,'B','B' UNION ALL
      SELECT 77,'A','A' UNION ALL
      SELECT 78,'A','B' UNION ALL
      SELECT 79,'B','A' UNION ALL
      SELECT 80,'A','A' UNION ALL
      SELECT 81,'B','A' UNION ALL
      SELECT 82,'B','A' UNION ALL
      SELECT 83,'A','B' UNION ALL
      SELECT 84,'B','B' UNION ALL
      SELECT 85,'A','B' UNION ALL
      SELECT 86,'A','A' UNION ALL
      SELECT 87,'A','B' UNION ALL
      SELECT 88,'B','A' UNION ALL
      SELECT 89,'B','B' UNION ALL
      SELECT 90,'A','B' UNION ALL
      SELECT 91,'A','A' UNION ALL
      SELECT 92,'B','B' UNION ALL
      SELECT 93,'A','B' UNION ALL
      SELECT 94,'A','A' UNION ALL
      SELECT 95,'B','A' UNION ALL
      SELECT 96,'A','A' UNION ALL
      SELECT 97,'B','B' UNION ALL
      SELECT 98,'B','B' UNION ALL
      SELECT 99,'B','A' UNION ALL
      SELECT 100,'A','B'
      )n(rn,x,y)
     
SELECT k.*
FROM wct.MCNEMAR_TV('SELECT x,y FROM #m', 'True') k
 
DROP TABLE #m
 
This produces the following result.



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