Usage Note 40133: Interpreting the three tests reported by the CMH option in PROC FREQ
The CMH option in the TABLES statement of PROC FREQ produces three different versions of the Cochran-Mantel-Haenszel statistic. All three test the null hypothesis of no association, but the tests have different assumptions regarding the scale of the row and column variables, and they test for different alternative hypotheses. The table below lists the assumptions underlying each test and the corresponding alternative hypothesis.
| Test |
Assumption |
Alternative Hypothesis |
| General Association |
Does not require an ordinal scale for either the row or column variable |
For at least one stratum, there is some kind of association between X and Y |
| Row Mean Scores Differ |
The column variable lies on an ordinal (or interval) scale |
For at least one stratum, the mean scores of the R rows are unequal |
| Correlation Statistic |
Both variables lie on an ordinal scale |
There is a linear association between rows and columns in at least one stratum. |
Operating System and Release Information
| SAS System | SAS/STAT | z/OS | | |
| OpenVMS VAX | | |
| Microsoft® Windows® for 64-Bit Itanium-based Systems | | |
| Microsoft Windows Server 2003 Datacenter 64-bit Edition | | |
| Microsoft Windows Server 2003 Enterprise 64-bit Edition | | |
| Microsoft Windows XP 64-bit Edition | | |
| Microsoft® Windows® for x64 | | |
| OS/2 | | |
| Microsoft Windows 95/98 | | |
| Microsoft Windows 2000 Advanced Server | | |
| Microsoft Windows 2000 Datacenter Server | | |
| Microsoft Windows 2000 Server | | |
| Microsoft Windows 2000 Professional | | |
| Microsoft Windows NT Workstation | | |
| Microsoft Windows Server 2003 Datacenter Edition | | |
| Microsoft Windows Server 2003 Enterprise Edition | | |
| Microsoft Windows Server 2003 Standard Edition | | |
| Microsoft Windows Server 2003 for x64 | | |
| Microsoft Windows Server 2008 | | |
| Microsoft Windows Server 2008 for x64 | | |
| Microsoft Windows XP Professional | | |
| Windows 7 Enterprise 32 bit | | |
| Windows 7 Enterprise x64 | | |
| Windows 7 Home Premium 32 bit | | |
| Windows 7 Home Premium x64 | | |
| Windows 7 Professional 32 bit | | |
| Windows 7 Professional x64 | | |
| Windows 7 Ultimate 32 bit | | |
| Windows 7 Ultimate x64 | | |
| Windows Millennium Edition (Me) | | |
| Windows Vista | | |
| Windows Vista for x64 | | |
| 64-bit Enabled AIX | | |
| 64-bit Enabled HP-UX | | |
| 64-bit Enabled Solaris | | |
| ABI+ for Intel Architecture | | |
| AIX | | |
| HP-UX | | |
| HP-UX IPF | | |
| IRIX | | |
| Linux | | |
| Linux for x64 | | |
| Linux on Itanium | | |
| OpenVMS Alpha | | |
| OpenVMS on HP Integrity | | |
| Solaris | | |
| Solaris for x64 | | |
| Tru64 UNIX | | |
*
For software releases that are not yet generally available, the Fixed
Release is the software release in which the problem is planned to be
fixed.
When the CMH option is specified, PROC FREQ reports three chi-square tests which have different assumptions and alternative hypotheses.
| Type: | Usage Note |
| Priority: | |
| Topic: | Analytics ==> Categorical Data Analysis
SAS Reference ==> Procedures ==> FREQ
|
| Date Modified: | 2010-08-18 16:21:34 |
| Date Created: | 2010-06-28 13:43:49 |
