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MATLAB Statistics Toolbox

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Statistics Toolbo
x™
User’s Guide
R2012b

How to Contact MathWorks
www.mathworks.
com
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comp.soft-sys.matlab Newsgroup
www.mathworks.com/contact_TS.html Technical Support
suggest@mathworks.com Product enhancement suggestions
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rks.com
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rks.com
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ng, and general information
508-647-7000 (Phone)
508-647-7001 (Fax)
The MathWorks, Inc.
3 Apple Hill Drive
Natick, MA 01760-2098
For contact information about worldwide offices, see the MathWorks Web site.
Statistics Toolbox™ User’s Guide
© COPYRIGHT 1993–2012 by The MathWorks, Inc.
The software described in this document is furnished under a license agreement. The software may be used
or cop ied only un der the terms of the license agreement. No part of this manual may b e photocopied or
reproduced in any form wi thout prior writt en consent from The MathWorks, Inc.
FEDERAL ACQUISITION: This provision applies to all acquisitions of the Program and Documentation
by, for, or through the federal government of the United States. By accepting delivery of the Program
or Documentation, the government hereby a grees that this software or documentation q u alifies as
commercial computer software or commercial computer software documentation as such terms are used
or defined in FAR 12.212, DFARS Part 227.72, and DFARS 252.227-7014. Accordingly, th e terms and
conditions of this Agreement and on ly those rights specified in thi s Agr eement, shall pertain to and govern
theuse,modification,reproduction,release,performance,display,anddisclosureoftheProgramand
Documentation by the federal governm ent (or other entity ac quiring fo r or t hrough the federal government)
and shall supersede any conflicting contractual terms or conditions. If this License fails to meet the
government’s needs or is inconsistent in any respect w ith federal procurement law, the government agrees
to return the Program and Documen tation, unused, to The MathWorks, Inc.
Trademarks
MATLAB and Simulink are registered trademarks of The MathWorks, Inc. See
www.mathworks.com/trademarks for a list of additional trademarks. O ther product or brand
names may be trademarks or registered trademarks of their respective holders.
Patents
MathWorks products are protected by one or more U.S. patents. Please see
www.mathworks.com/patents for more information.

Revision History
September 1993 First printing Version 1.0
March 1996 Second printing Version 2.0
January 1997 Third printing Version 2.11
November 2000 Fourth printing Revised for Version 3.0 (Release 12)
May 2001 Fifth printing Minor revisions
July 2002 Sixth printing Revised for Version 4.0 (Release 13)
February 2003 Online only Revised for Version 4.1 (Release 13.0.1)
June 2004 Seventh printing Revised for Version 5.0 (Release 14)
October 2004 Online only Revised for Version 5.0.1 (Release 14SP1)
March 2005 Online only Revised for Version 5.0.2 (Release 14SP2)
September 2005 Online only Revised for Version 5.1 (Release 14SP3)
March 2006 Online only Revised for Version 5.2 (Release 2006a)
September 2006 Online only Revised for Version 5.3 (Release 2006b)
March 2007 Eighth printing Revised for Version 6.0 (Release 2007a)
September 2007 Ninth printing Revised for Version 6.1 (Release 2007b)
March 2008 Online only Revised for Version 6.2 (Release 2008a)
October 2008 Online only Revised for Version 7.0 (Release 2008b)
March 2009 Online only Revised for Version 7.1 (Release 2009a)
September 2009 Online only Revised for Version 7.2 (Release 2009b)
March 2010 Online only Revised for Version 7.3 (Release 2010a)
September 2010 Online only Revised for Version 7.4 (Release 2010b)
April 2011 Online only Revised for Version 7.5 (Release 2011a)
September 2011 Online only Revised for Version 7.6 (Release 2011b)
March 2012 Online only Revised for Version 8.0 (Release 2012a)
September 2012 Online only Revised for Version 8.1 (Release 2012b)


Contents
Getting Started
1
Product Description ............................... 1-2
Key Features
..................................... 1-2
Organizing Data
2
Introduction to Data Types ......................... 2-3
MATLAB Arrays
................................... 2-4
Numerical Data
................................... 2-4
Heterogeneous Data
............................... 2-7
Statistical Functions
............................... 2-9
Statistical Array s
.................................. 2-11
Introduction to Statistical Arrays
.................... 2-11
Categorical D ata
.................................. 2-13
Categorical A rrays
................................ 2-14
Nominal and Ordinal Variables
...................... 2-14
Using Categorical Arrays
........................... 2-15
Statistical Data
................................... 2-21
Dataset Arrays
................................... 2-22
Create Dataset Arrays
............................. 2-22
Create Categorical Arrays
.......................... 2-24
Create Nominal Arrays
............................. 2-24
Create Ordinal Arrays
............................. 2-26
Change Category Labels
........................... 2-29
Reorder Category Levels
........................... 2-31
v
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