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Usage Note 54993: Producing a biplot

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A biplot can be loosely defined as a plot that displays both the observations (rows) and variables (columns) of multivariate data in a single plot. Consider a data set in which the observations are car models and the variables are ratings on measures such as miles per gallon, reliability, and so on. For such data a biplot like the following plots the cars as points and the measures as vectors showing how the cars are associated with the measures.

biplot of cars and ratings

Biplots can be produced for the following analyses:

  • Principal components analysis as performed in SAS/IML® Studio. See the example titled "Reduce Dimensionality through Principal Component Analysis" in the Multivariate Analysis: Principal Component Analysis chapter of the SAS/IML Studio User's Guide.
  • Multidimensional preference analysis. Use the MDPREF or PLOTS=MDPREF option in PROC PRINQUAL. See the example in the Getting Started section of the PRINQUAL documentation.
  • Correspondence analysis. PROC CORRESP produces a biplot by default. See the Getting Started section of the CORRESP documentation.
  • Preference mapping. PROC TRANSREG can be used to show additional variables in the space produced by a procedure like PRINQUAL. See the example titled "Preference Mapping of Automobile Data" in the TRANSREG documentation.


Operating System and Release Information

Product FamilyProductSystemSAS Release
ReportedFixed*
SAS SystemSAS/STATz/OS
Z64
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 8 Enterprise 32-bit
Microsoft Windows 8 Enterprise x64
Microsoft Windows 8 Pro 32-bit
Microsoft Windows 8 Pro x64
Microsoft Windows 8.1 Enterprise 32-bit
Microsoft Windows 8.1 Enterprise x64
Microsoft Windows 8.1 Pro
Microsoft Windows 8.1 Pro 32-bit
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 R2
Microsoft Windows Server 2008 for x64
Microsoft Windows Server 2012 Datacenter
Microsoft Windows Server 2012 R2 Datacenter
Microsoft Windows Server 2012 R2 Std
Microsoft Windows Server 2012 Std
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
SAS SystemSAS/IML StudioMicrosoft® 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
Microsoft Windows 8 Enterprise 32-bit
Microsoft Windows 8 Enterprise x64
Microsoft Windows 8 Pro 32-bit
Microsoft Windows 8 Pro x64
Microsoft Windows 8.1 Enterprise 32-bit
Microsoft Windows 8.1 Enterprise x64
Microsoft Windows 8.1 Pro
Microsoft Windows 8.1 Pro 32-bit
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 R2
Microsoft Windows Server 2008 for x64
Microsoft Windows Server 2012 Datacenter
Microsoft Windows Server 2012 R2 Datacenter
Microsoft Windows Server 2012 R2 Std
Microsoft Windows Server 2012 Std
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
* 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.