skip to content
Statistical methods : the geometric approach Preview this item
ClosePreview this item
Checking...

Statistical methods : the geometric approach

Author: David J Saville; Graham R Wood
Publisher: New York : Springer, 1997.
Series: Springer texts in statistics.
Edition/Format:   Print book : English : Corr. 3rd printView all editions and formats
Summary:

A novel exposition of the analysis of variance and regression. The key feature here is that these tools are viewed in their natural mathematical setting - the geometry of finite dimensions. This is  Read more...

Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: David J Saville; Graham R Wood
ISBN: 0387975179 9780387975177 3540975179 9783540975175
OCLC Number: 37011564
Description: xv, 560 pages : illustrations ; 25 cm.
Contents: I Basic Ideas.- 1 Introduction.- 1.1 Why Use Geometry?.- 1.2 A Simple Illustration.- 1.3 Tradition and Practice.- 1.4 How to Read This Book.- Exercise.- 2 The Geometric Tool Kit.- 2.1 Introducing Vectors.- 2.2 Putting Vectors Together.- 2.3 Angles Between Vectors.- 2.4 Projections.- 2.5 Sums of Squares.- Exercises.- Solutions to the Reader Exercises.- 3 The Statistical Tool Kit.- 3.1 Basic Ideas.- 3.2 Combining Variables.- 3.3 Estimation.- 3.4 Reference Distributions.- Solutions to the Reader Exercises.- 4 Tool Kits At Work.- 4.1 The Scientific Method.- 4.2 Statistical Analysis.- Exercises.- II Introduction to Analysis of Variance.- 5 Single Population Questions.- 5.1 An Illustrative Example.- 5.2 General Case.- 5.3 Virtues of Our Estimates.- 5.4 Summary.- Class Exercise.- Exercises.- Solutions to the Reader Exercises.- 6 Questions About Two Populations.- 6.1 A Case Study.- 6.2 General Case.- 6.3 Computing.- 6.4 Summary.- Class Exercise.- Exercises.- Solution to the Reader Exercise.- 7 Questions About Several Populations.- 7.1 A Simple Example.- 7.2 Types of Contrast.- 7.3 The Overview.- 7.4 Summary.- Solutions to the Reader Exercises.- III Orthogonal Contrasts.- 8 Class Comparisons.- 8.1 Analyzing Example A.- 8.2 General Case.- 8.3 Summary.- Class Exercise.- Exercises.- 9 Factorial Contrasts.- 9.1 Introduction.- 9.2 Analyzing Example B.- 9.3 Analyzing Example C.- 9.4 Generating Factorial Contrasts.- 9.5 Summary.- Exercises.- 10 Polynomial Contrasts.- 10.1 Analyzing Example D.- 10.2 Consolidating the Ideas.- 10.3 A Case Study.- 10.4 Summary.- Exercises.- Solutions to the Reader Exercises.- 11 Pairwise Comparisons.- 11.1 Analyzing Example E.- 11.2 Least Significant Difference.- 11.3 Multiple Comparison Procedures.- 11.4 Summary.- Class Exercise.- Exercises.- IV Introducing Blocking.- 12 Randomized Block Design.- 12.1 Illustrative Example.- 12.2 General Discussion.- 12.3 A Realistic Case Study.- 12.4 Why and How to Block.- 12.5 Summary.- Class Exercise.- Exercises.- 13 Latin Square Design.- 13.1 Illustrative Example.- 13.2 General Discussion.- 13.3 Summary.- Exercise.- 14 Split Plot Design.- 14.1 Introduction.- 14.2 Analysis.- 14.3 Discussion.- 14.4 Summary.- Exercises.- Solutions to the Reader Exercises.- V Fundamentals of Regression.- 15 Simple Regression.- 15.1 Illustrative Example.- 15.2 General Case.- 15.3 Confidence Intervals.- 15.4 Correlation Coefficient.- 15.5 Pitfalls for the Unwary.- 15.6 Summary.- Class Exercise.- Exercises.- Solutions to the Reader Exercises.- 16 Polynomial Regression.- 16.1 No Pure Error Term.- 16.2 Pure Error Term.- 16.3 Summary.- Exercises.- 17 Analysis of Covariance.- 17.1 Illustrative Example.- 17.2 Independent Lines.- 17.3 Use of ANCOVA.- 17.4 Summary.- Exercises.- Solutions to the Reader Exercises.- 18 General Summary.- 18.1 Review.- 18.2 Where to from Here?.- 18.3 Summary.- Appendices.- A Unequal Replications: Two Populations.- A.1 Illustrative Example.- A.2 General Case.- Exercises.- B Unequal Replications: Several Populations.- B.1 Class Comparisons.- B.2 Factorial Contrasts.- B.3 Other Cases.- B.4 Summary.- Exercises.- C Alternative Factorial Notation.- Solution to the Reader Exercise.- D Regression Through the Origin.- E Confidence Intervals.- E.1 General Theory.- T Statistical Tables.- References.
Series Title: Springer texts in statistics.
Responsibility: David J. Saville, Graham R. Wood.
More information:

Reviews

Editorial reviews

Publisher Synopsis

"This is an interesting attempt to present analysis of variance and related topics in an informative way."(Biometrics)

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/37011564> # Statistical methods : the geometric approach
    a schema:Book, schema:CreativeWork ;
   library:oclcnum "37011564" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   schema:about <http://id.worldcat.org/fast/1432090> ; # Regression analysis
   schema:about <http://experiment.worldcat.org/entity/work/data/795605507#Topic/geometria> ; # Geometría
   schema:about <http://id.worldcat.org/fast/808330> ; # Analysis of variance
   schema:about <http://id.worldcat.org/fast/940864> ; # Geometry
   schema:about <http://experiment.worldcat.org/entity/work/data/795605507#Topic/analisis_de_varianza> ; # Análisis de varianza
   schema:about <http://experiment.worldcat.org/entity/work/data/795605507#Topic/varianzanalyse> ; # Varianzanalyse
   schema:about <http://dewey.info/class/519.535/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/795605507#Topic/vektorgeometrie> ; # Vektorgeometrie
   schema:about <http://experiment.worldcat.org/entity/work/data/795605507#Topic/analisis_de_regresion> ; # Análisis de regresión
   schema:about <http://experiment.worldcat.org/entity/work/data/795605507#Topic/regressionsanalyse> ; # Regressionsanalyse
   schema:bookEdition "Corr. 3rd print." ;
   schema:bookFormat bgn:PrintBook ;
   schema:contributor <http://viaf.org/viaf/66532201> ; # Graham R. Wood
   schema:creator <http://viaf.org/viaf/64671850> ; # David J. Saville
   schema:datePublished "1997" ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/795605507> ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/795605507#Series/springer_texts_in_statistics> ; # Springer texts in statistics.
   schema:name "Statistical methods : the geometric approach"@en ;
   schema:productID "37011564" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/37011564#PublicationEvent/new_york_springer_1997> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/795605507#Agent/springer> ; # Springer
   schema:url <http://catdir.loc.gov/catdir/enhancements/fy0815/97151041-t.html> ;
   schema:workExample <http://worldcat.org/isbn/9780387975177> ;
   schema:workExample <http://worldcat.org/isbn/9783540975175> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/37011564> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
   schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/795605507#Series/springer_texts_in_statistics> # Springer texts in statistics.
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/37011564> ; # Statistical methods : the geometric approach
   schema:name "Springer texts in statistics." ;
   schema:name "Springer texts in statistics" ;
    .

<http://experiment.worldcat.org/entity/work/data/795605507#Topic/analisis_de_regresion> # Análisis de regresión
    a schema:Intangible ;
   schema:name "Análisis de regresión"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/795605507#Topic/analisis_de_varianza> # Análisis de varianza
    a schema:Intangible ;
   schema:name "Análisis de varianza"@en ;
    .

<http://id.worldcat.org/fast/1432090> # Regression analysis
    a schema:Intangible ;
   schema:name "Regression analysis"@en ;
    .

<http://id.worldcat.org/fast/808330> # Analysis of variance
    a schema:Intangible ;
   schema:name "Analysis of variance"@en ;
    .

<http://id.worldcat.org/fast/940864> # Geometry
    a schema:Intangible ;
   schema:name "Geometry"@en ;
    .

<http://viaf.org/viaf/64671850> # David J. Saville
    a schema:Person ;
   schema:familyName "Saville" ;
   schema:givenName "David J." ;
   schema:name "David J. Saville" ;
    .

<http://viaf.org/viaf/66532201> # Graham R. Wood
    a schema:Person ;
   schema:familyName "Wood" ;
   schema:givenName "Graham R." ;
   schema:name "Graham R. Wood" ;
    .

<http://worldcat.org/isbn/9780387975177>
    a schema:ProductModel ;
   schema:isbn "0387975179" ;
   schema:isbn "9780387975177" ;
    .

<http://worldcat.org/isbn/9783540975175>
    a schema:ProductModel ;
   schema:isbn "3540975179" ;
   schema:isbn "9783540975175" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.