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Balanced Incomplete Block Design - Purdue University

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Balanced Incomplete Block Design - Purdue University

Balanced Incomplete Block Design Design of Experiments - Montgomery ... data example; input trt block resp @@; cards; 117312741471227523672472 317332753368417543724475; proc glm; ... † Partially Balanced Incomplete Block Design

http://www.stat.purdue.edu/~bacraig/notes1/topic13.pdf

Date added: November 23, 2011 - Views: 137

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Partially Balanced Incomplete Block Designs

Partially Balanced Incomplete Block Designs . 3.1.2 Rectangular Designs. A PBIB design with three associate classes having a rectangular association scheme, as

http://www.iasri.res.in/seminar/AS-299/ebooks%5C2006-2007%5CMsc%5Ctrim2%5C1.%20Partially%20Balanced%20Incomplete%20Block%20Designs-%20Lokesh.pdf

Date added: August 18, 2013 - Views: 8

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PARTIALLY BALANCED INCOMPLETE BLOCK DESIGNS

Partially Balanced Incomplete Block Designs PBIB Design Given an association scheme with m classes (m ≥2) we have a PBIB design with m associate

http://www.iasri.res.in/design/Electronic-Book/Module%202/3PBIBD.pdf

Date added: December 26, 2013 - Views: 4

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1 Incomplete Block Designs

The book has a good example where the treatment levels are ... 1.3 Partially Balanced Incomplete Block Designs ... it may be possible to construct a slightly more complicated design called a partially bal-anced incomplete block design. In this design, ...

http://www.webpages.uidaho.edu/~chrisw/stat507/bibd1.pdf

Date added: January 28, 2012 - Views: 18

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Partially Balanced Incomplete Block Designs

Partially Balanced Incomplete Block Designs Sushmita Ruj Indian Statistical Institute, ... -design has one value -balanced Partially balanced: ... Association schemes-example X = f1;2;3;4;5;6g Associates Element First Second Third

http://faculty.ms.u-tokyo.ac.jp/users/aas2013/SushmitaRuj.pdf

Date added: December 6, 2013 - Views: 1

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NEW CONSTRUCTION METHOD OF RECTANGULAR PARTIALLY BALANCED ...

we obtain a partially balanced incomplete block design of size k = 2s. Theorem 1: ... Example 1: Example of rectangular design. Let v = 12 = 3.4, (n = 3 and l = 4) treatments arranged in the following array: 1 2 3 4 5 6 7 8 9 10 11 12 ...

http://thescipub.com/pdf/10.3844/jmssp.2014.45.48

Date added: January 25, 2014 - Views: 1

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Chapter 7 Partially Balanced Incomplete Block Design (PBIBD)

1 Chapter 7 Partially Balanced Incomplete Block Design (PBIBD) The balanced incomplete block designs have several advantages. They are connected designs as well

http://home.iitk.ac.in/~shalab/chapter7-pbibd.pdf

Date added: December 6, 2013 - Views: 3

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Montgomery Section 4.4 Lecture 8: Balanced Incomplete Block ...

Statistics 514: Balanced Incomplete Block Design Lecture 8: Balanced Incomplete Block Design Montgomery Section 4.4 Spring, 2006 Page 1

http://www.stat.purdue.edu/~yuzhu/stat514s2006/Lecnot/bibds2006plain.pdf

Date added: May 4, 2012 - Views: 6

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Analysis of Data from Incomplete Block Designs - JSTOR

... including partially balanced incomplete block designs, ... classes can be accommodated as easily as the classical balanced incomplete block design ... computations are illustrated with an example of a partially balanced incomplete block (PBIB) ...

http://www.jstor.org/stable/2531064

Date added: June 18, 2013 - Views: 4

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Analysis of Partially Balanced Incomplete Block Designs ...

ANALYSIS OF PARTIALLY BALANCED INCOMPLETE BLOCK DESIGNS ILLUSTRATED ON THE SIMPLE SQUARE AND RECTANGULAR LATTICES* K. R. NAIR Forest Research Institute, Dehra Dun, India

http://www.jstor.org/stable/3001929

Date added: September 18, 2013 - Views: 5

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Balanced Incomplete Block (BIB) & Partially Balanced (PBIB)

Balanced Incomplete Block (BIB) & Partially Balanced (PBIB) ... Design Points Observation Column Number Number Y 1 2 3 4 5 6 7 8 9 1 20 1 1 0 0 0 1 0 ... Use: lots of treatments, small block size. ñ Construction (example)

http://www.stat.ncsu.edu/people/dickey/courses/st711/notes/Notes_pdf/notes4.pdf

Date added: July 10, 2013 - Views: 3

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Incomplete Block Designs - PBGworks

Partially Balanced Incomplete Block Designs Different treatment pairs occur in the same blocks an unequal number of times or some treatment pairs

http://pbgworks.org/sites/pbgworks.org/files/user/4/Lattice_seminar.pdf

Date added: April 2, 2014 - Views: 1

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Lesson 19 Incomplete Block Designs - Web Hosting at UMass ...

Balanced Incomplete Block Designs This is a design with νtreatments each occurring r times. ... Example of a partially balanced incomplete block design. This example comes from Das and Kulkarni (Biometrics, 1966). The study concerned the potency of

http://people.umass.edu/~bioep741/Class%20Notes/Lesson%2019%20Incomplete%20Block%20Designs.pdf

Date added: April 21, 2013 - Views: 8

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Incomplete Block Designs - Little Dumb doctor

These designs are partially confounded ... some balance is the balanced incomplete block design (BIB). In general, an incomplete block ... We’ll now go through the example of a BIB design presented in “SAS for Linear Models”.

http://www.littledumbdoctor.com/index_files/Mixed_model_notes_25_Other%20Applications%20of%20Mixed%20Models%20Part%20II.pdf

Date added: August 27, 2013 - Views: 3

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3.2 Partially balanced incomplete-block designs

For example, a BIBD is partially balanced with respect to every association scheme on Θ. We usually give the as-sociation scheme with the smallest number of associate classes among those with ... Lemma 3.2 In a partially balanced incomplete-block design, s ...

http://www.maths.qmul.ac.uk/~rab/MAS417/week8a.pdf

Date added: January 28, 2012 - Views: 9

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Incomplete Blocks Small blocks are more homogeneous than ...

In an incomplete block design, not all treatments are tested in each block, ... (balanced lattice in the example above) ... Setting up a partially balanced lattice using first r/p reps of a balanced lattice repeated p

http://www2.hawaii.edu/~halina/603/IncBlock.pdf

Date added: February 3, 2012 - Views: 5

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Partially balanced block designs with nested rows and columns

Partially balanced block designs with nested rows and columns Agnieszka Lac ka and Maria Koz lowska Agricultural University of Poznan´, Poland

http://linstat08.au.poznan.pl/Abstracts/Lacka.pdf

Date added: August 18, 2013 - Views: 1

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SUGI 27: Generating Randomization Schedules Using SAS(r ...

(balanced design) and x:1 (x>1, unbalanced design). ... ♦ certain balanced and partially balanced incomplete block designs ... we can see, the treatment assignments are balanced within each block. In this example, each block contains

http://www2.sas.com/proceedings/sugi27/p267-27.pdf

Date added: January 27, 2012 - Views: 15

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A New Family of Partially Balanced Incomplete Block Designs ...

A NEW FAMILY OF PARTIALLY BALANCED INCOMPLETE BLOCK DESIGNS WITH SOME LATIN SQUARE DESIGN PROPERTIES' Purdue Vniuersity and University of North Carolina

http://digitalcommons.unl.edu/cgi/viewcontent.cgi?article=1004&context=mathfacpub

Date added: July 18, 2013 - Views: 4

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Incomplete Block Designs With Blocks of Two Plots

The balanced incomplete block design requires ... partially balanced incomplete block designs, which is in turn a subclass of thc class of all incomplete block designs. ... For example, the design for scven treatments with

http://lib.dr.iastate.edu/cgi/viewcontent.cgi?filename=6&article=1032&context=ag_researchbulletins&type=additional

Date added: November 5, 2013 - Views: 1

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Chapter 3 Partially Balanced Incomplete-Block Designs

Partially Balanced Incomplete-Block Designs 3.1 Block designs Let Ωbe a set of experimental units, called ‘plots’, to which we can apply treat- ... BLOCK DESIGNS 53 Example 3.1 A small design on 12 experimental units is shown below.

http://www.maths.qmul.ac.uk/~rab/MAS417/week7b.pdf

Date added: May 4, 2012 - Views: 5

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BASICS OF EXPERIMENTAL DESIGN - Mississippi State University

including the randomized complete block design, balanced or partially balanced incomplete block designs, and the Latin square design. With all of these designs, the gain ... For example, an experiment ...

http://www.lar.msstate.edu/pdf/Basics%20of%20Experimental%20Design.pdf

Date added: March 1, 2012 - Views: 7

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1 Incomplete Block Designs - University of Idaho

1 Incomplete Block Designs ... book has a good example where the treatment levels are temperatures for tomato seed germination. ... slightly more complicated design called a partially balanced incomplete block design (PBIBD). In

http://www.webpages.uidaho.edu/~chrisw/stat507/KChap9BIBD1.pdf

Date added: October 16, 2013 - Views: 1

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XIII. Incomplete Block Designs

situations an incomplete block design might be appropriate. For example, ... Definition XIII.4: A block design with m > 1 associate classes is called a partially balanced incomplete block design with m associate classes — PBIB(m).

http://www.lce.esalq.usp.br/arquivos/aulas/2012/LCE5705/notas%20de%20aula/IBD.pdf

Date added: December 26, 2013 - Views: 1

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AN APPLICATION OF INCOMPLETE BLOCK DESIGNS TO THE ...

2 2. Incomplete Block Designs 2.1 Balanced Incomplete Block Designs A balanced incomplete block (BIB) design is an arrangement of v objects, usually referred to as treatments, into b sets, called blocks, such that the

http://www.stat.ncsu.edu/information/library/mimeo.archive/ISMS_1968_587.pdf

Date added: February 1, 2013 - Views: 3

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Estimation of Population Parameters in Survey Sampling and ...

For example, in agricultural surveys, to estimate the production of food, ... Special case of partially balanced incomplete block design is used for preparing the sampling frame which gives quite high probability of selection of preferred

http://shodhganga.inflibnet.ac.in/jspui/bitstream/10603/10009/6/06_abstract.pdf

Date added: December 31, 2013 - Views: 1

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ADVANCED DESIGN AND ANALYSIS OF EXPERIMENTS IV. Incomplete ...

situations an incomplete block design might be appropriate. For example, ... Type of study – Partially balanced incomplete block design (with two associate classes) The experimental structure is: Structure Formula unrandomized 2 Reps/5 Blocks/5 Plots

http://www.lce.esalq.usp.br/arquivos/aulas/2012/LCE5872/AD04.pdf

Date added: June 17, 2013 - Views: 4

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Estimation of Population Parameters in Survey Sampling and ...

For example, in agricultural surveys, to estimate the production of food, the data are collected on some portion of land under ... Balanced incomplete block design which is a special case of partially balanced incomplete block design, ...

http://shodhganga.inflibnet.ac.in/bitstream/10603/10009/7/07_chapter%201.pdf

Date added: November 17, 2013 - Views: 2

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Some families of partially balanced incomplete block designs

Some families of partially balanced incomplete block designs Jennifer Seberry University of Wollongong, ... Then W is a genepaZized Bhaskap Rao design oP GBRD if ww+ ::: m ! (c.G)B. i=l 1 l ... Example. (10,2 0,4 2),

http://ro.uow.edu.au/cgi/viewcontent.cgi?article=2024&context=infopapers

Date added: July 28, 2013 - Views: 1

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Stat 591: Advanced Design of Experiments Rutgers University ...

Balanced Incomplete Block Designs 114 6. Partially Balanced Incomplete Block (PBIB) ... To analyze a partially confounded data, run the Yates algorithm separately on ... forms a rotatable design. For example, if we place six points on a circle

http://stat.rutgers.edu/~buyske/591/lect_all.pdf

Date added: June 20, 2014 - Views: 1

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Designs on the Web - Design Theory

For example, given a block design D, each of whose blocks has size k, ... Partially balanced incomplete block designs, Sankhy a 4 (1939), 337{372. [6] F. Buekenhout, Diagrams for geometries and groups, J. Combinatorial Theory (A) 27 (1979), 121{151.

http://designtheory.org/library/preprints/dotw.pdf

Date added: July 11, 2013 - Views: 1

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The ANOVA Procedure - Worcester Polytechnic Institute

a balanced design, it is faster and uses less storage than ... one-way analysis of variance, Latin square designs, certain partially balanced incomplete block designs, completely nested ... Randomized Complete Block with One Factor This example illustrates the use of PROC ANOVA in ...

http://www.math.wpi.edu/saspdf/stat/chap17.pdf

Date added: March 9, 2012 - Views: 28

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H. Designs with Two or More Blocking Factors

a Balanced Incomplete Block Design (BIBD) is the design of choice. For instance, ... and bto get a BIBD, or if not possible, use a partially balanced incomplete block design (PBIBD). 3.1 Tire Wear Experiment ... design. The following is an example in which a = 7 treatment levels (Ato G) ...

http://www.stat.wmich.edu/wang/664/notes/H2.pdf

Date added: April 7, 2014 - Views: 1

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SUGI 25: Mixed Models Analysis Using JMPr Software 4

INCOMPLETE BLOCK DESIGN EXAMPLE Incomplete block designs are very ... incomplete block designs from balanced incomplete blocks where each pair of treatments occur together within a block the same number of times, partially balanced incomplete block designs and just unbalanced incomplete ...

http://www2.sas.com/proceedings/sugi25/25/st/25p276.pdf

Date added: February 10, 2012 - Views: 30

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www.isas.org.in

CONSTRUCTION OF PARTIALLY BALANCED INCOMPLETE BLOCK DESIGNS Table 5.1. Selected PBIB designs for v* 12 to 84 with r* 5 ; developed from BIB design (v, b, r, k, )

http://www.isas.org.in/jsp/volume/vol61/vijayraghavscan0002.pdf

Date added: April 2, 2014 - Views: 1

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Chapter 4 Supplemental Text Material - John Wiley & Sons

A partially balanced incomplete block design with two associate classes is described by the following parameters: 1 . ... For example, the cubic lattice design can be used for k3 treatments in k2 blocks of k runs. A lattice design for k(k + 1) ...

http://higheredbcs.wiley.com/legacy/college/montgomery/0470128666/supp_txt_mat/ch04.pdf

Date added: January 27, 2012 - Views: 9

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Chapter 6 Balanced Incomplete Block Design (BIBD)

... and the partially balanced incomplete block design (PBIBD) which are the incomplete block designs. A balanced incomplete block design (BIBD) ... Example of BIBD In the design ( , ; , ; ): consider 10 ( , ,..., ), 6 ( , ,..., ), ...

http://home.iitk.ac.in/~shalab/chapter6-bibd.pdf

Date added: November 29, 2013 - Views: 3

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General Incomplete Block Design

52 GENERAL INCOMPLETE BLOCK DESIGN to use. For example, we know that a balanced incomplete block design (Chapter 2) is optimal. However, we cannot use the design and need to use a partially balanced incomplete block design (Chapter 4). We may then choose, if possible,

http://media.johnwiley.com.au/product_data/excerpt/75/04715517/0471551775.pdf

Date added: December 16, 2013 - Views: 1

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Mixed Models Lecture Notes By Dr. Hanford page 206 More ...

Lucas (1962), presented a number of partially balanced incomplete block designs that are ... We’ll run through an example of this design with the following SAS program. data davhall; input block subj period treat $ carry $ resp @@;

http://www.littledumbdoctor.com/index_files/Mixed_model_notes_21_Cross-over%20experiments%20Part%20IV.pdf

Date added: August 18, 2013 - Views: 1

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Six families of e cient resolvable designs in three replicates

square block design ij with qblocks and treatments and block size k. In the ... For example, Table 1 shows two designs with r= 3, v= 6 and k ... Cheng CS, Bailey RA (1991) Optimality of some two-associate-class partially balanced incomplete-block designs. Annals of Statistics 19: 1667{1671. 14 R ...

http://designtheory.org/library/preprints/metrika3.pdf

Date added: June 17, 2013 - Views: 1

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Chapter 4 Supplemental Text Material - University of Tennessee

A partially balanced incomplete block design with two associate classes is described by the following parameters: 1 . ... For example, the cubic lattice design can be used for k3 treatments in k2 blocks of k runs. A lattice design for k(k + 1) ...

http://iiesl.utk.edu/Courses/IE340%20S07/supplements/ch04.pdf

Date added: May 30, 2013 - Views: 4

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9. Balanced incomplete block designs 9.1. The BIBD and its ...

Balanced incomplete block designs (BIBD) §9.1. The BIBD and its applicable situ-ations in clinical trials The Design The BIBD is a block design where the block size k is less than the number of treatments g.The ... measures partially the treatment effect.

http://www.stat.nus.edu.sg/~stachenz/ST4241Notes9.pdf

Date added: December 10, 2012 - Views: 4

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PBIBD and its applications in Cryptology - Mathematics ...

Balanced Incomplete Block Design BIBD(v;b;r;k; ) is a design which satisfy ... PBIBD: Partially Balanced Incomplete Block Design PB [k; 1; 2;:::; ... Example: Number of users = 4, and Key pool = f000;001;010;011;100;101g.

http://math.nist.gov/mcsd/Seminars/2012/2012-03-06-Roy-presentation.pdf

Date added: September 18, 2013 - Views: 1

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Construction of PBIBD (2) Designs Using MOLS

... a construction methodology of Partially Balanced Incomplete Block Design with two associate classes using Mutually ... The application of this method is explained through an example. ... An incomplete block design having balanced is known as Balanced Incomplete Block ...

http://www.researchmathsci.org/IJFMAart/ijfma-v3-7.pdf

Date added: January 20, 2014 - Views: 1

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FAMILY BLOCK DESIGNS IN FOREST - United States Forest Service

1st adopt a balanced design when a partially lanced one fits his needs. Schutz and Cockes- m (1962 ... for example, in the estimation of genetic gains, combining abilities, ... incomplete block design is worth a trial.

http://www.nrs.fs.fed.us/pubs/rp/rp_nc006/rp_nc006_012.pdf

Date added: March 27, 2013 - Views: 5

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Evaluating Grant Applications with Generalized Chain Block ...

Partially balanced incomplete blocks (PBIB) Chain block designs Lattice Jack ... (des) TRUE if a generalized block design. gcbrandom(des) randomizes rows,cols of GCG gcborder (des ... Simple chain block design analysis & example

http://www.r-project.org/conferences/useR-2010.old/slides/Crane+Collins+Mille.pdf

Date added: January 20, 2014 - Views: 1

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The PLAN Procedure - Worcester Polytechnic Institute

certain balanced and partially balanced incomplete block designs generalized cyclic incomplete block designs ... Example 50.3. An Incomplete Block Design Jarrett and Hall (1978) give an example of a generalized cyclic design with good

http://www.math.wpi.edu/saspdf/stat/chap50.pdf

Date added: September 20, 2012 - Views: 2

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A Note on Triple Rectangular Lattice Design Yashbir Singh ...

Partially Balanced Incomplete Block (PBIB) Design. 1. Introduction: Harshbarger(1946, 1947, ... blocks is called triple rectangular lattice design. For example if n=4, ... (1952): Analysis of partially balanced incomplete block designs illustrated on the simple square and rectangular lattices.

http://interstat.statjournals.net/YEAR/2011/articles/1110002.pdf

Date added: May 20, 2013 - Views: 1

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Experimental Designs and Combinatorial Systems Associated with

for example the existence of an O(n,n-3), ... Definition 2.1. A balanced incomplete block design with parameters v, b, r, ... A partially balanced incomplete block design (with two associate classes) with parameters v, b, r, ...

http://dspace.library.cornell.edu/bitstream/1813/32419/1/BU-326-M.pdf

Date added: November 26, 2013 - Views: 1

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Modern Experimental Design - Dandelon.com

2.2.1 ANOM for a Completely Randomized Design 43 2.2.1.1 Example 44 2.2.2 ANOM with Unequal Variances 45 2.2.2.1 Applications 47 2.2.3 Nonparametric ANOM 47 ... 3.2.2 Partially Balanced Incomplete Block Designs 69 3.2.2.1 Lattice Design 70

http://www.dandelon.com/servlet/download/attachments/dandelon/ids/AT001504FEC21B652EE9EC12573990045B57E.pdf

Date added: April 8, 2014 - Views: 1