Design of experiments : a no-name approach / edited by Thomas Lorenzen and Virgil Anderson.

Format
Book
Language
English
Εdition
First edition.
Published/​Created
Boca Raton, FL : CRC Press, an imprint of Taylor and Francis, 1993.
Description
1 online resource (xi, 414 pages) : illustrations.

Details

Subject(s)
Experimental design [Browse]
Editor
Series
Statistics, textbooks and monographs ; 138. [More in this series]
Summary note
Presents a novel approach to the statistical design of experiments, offering a simple way to specify and evaluate all possible designs without restrictions to classes of named designs. The work also presents a scientific design method from the recognition stage to implementation and summarization.
Notes
Bibliographic Level Mode of Issuance: Monograph
Bibliographic references
Includes bibliographical references and index.
Source of description
Description based on print version record.
Language note
English
Contents
chapter 1 A SCIENTIFIC APPROACH TO THE DESIGN OF EXPERIMENTS -- Design -- chapter THE INFERENCE FOR THE PROBLEM -- chapter 2 One Factor Designs -- chapter + Ei!t -- tically distributed; in particular, that the variances of the error terms are = E E E;!(y; -- - E;!Ej'!::l /[1( J - -- chapter THE ANOVA TABLE FOR ONE FACTOR -- E(Yi·- SS(A}/(I- E(Yij- -- chapter 2 3.3 -- of fit -- chapter TABLE 2.5.2 -- chapter sANOVA --.i:_ ln -- chapter = = = -- chapter 3 Factorial Designs -- chapter ~ If Bj -- j', or both i iand j j' -- Such interactions will be called random random) -- chapter = {!-= [(!- -- = The first equality is a result of the linear = E(ABij ABi'j) = = 0, (Ai random, B; fixed) -- E(E;;t ABi]J = l)uis, = -- chapter FOR FACTORIAL DESIGNS -- = Li;l (I Ei;l - Li;l - /(I - j, and for the second mean -- As in Chapter 2, the sum I Li;l -- chapter = I K -- EJ;l the corresponding df would be df{B) Bj are subtracted from the difference -- Carefully following (I-l)(J- y ) - -- chapter Bj RANDOM-STEP 6 -- chapter OF MEANS -- Ei!t Ai = 0, Ei!t AB,; = 0, Ct = 0, Ei!l ACit j::; j' -- =I'+ = E(yi - = E[ -- chapter d fMi Mii ; -- chapter ·, Ij -- +uhF+2uh+4aJF, F' Ij = -4.15 with df for the -- chapter =,5 for the five acres tested for each -- that the proper inferences could be made -- Thus, the experiment was run + Su}, + + Su}, -- chapter If you do not specify the denominator using E=, SAS will test with -- ! -- chapter j.;.(m = y•z -- I:z= 10 -0.5 -2 -1.0 -2.0 -5.6 -1.9 -1.9 -- chapter 0 (1955) -- + AB,; + Ct + AC,t + BC;t + ABCi;t + Dt +ADa+ -- chapter 4 Nested Designs -- chapter j -- But since j depends on i, k au- -- I -- However, if we include the factor -- chapter = I -- THE ANOVA TABLE, TESTS, AND ESTIMATES -- chapter = = = -- chapter 4 CHAPTER 4 -- chapter TO SELECTED PROBLEMS -- + AE- BD+E-BE C+BD-CD B, B+AD-BD -- chapter Tat Tat mean-A at -- chapter 5 Restrictions on Randomization -- chapter E= E -- V probabilities to Du and compute the expected values of the mean squares, •• -- chapter = (m- -- 1/I for i i', m m', 1/[I(I- i', m m' -- _[IJ 2(J- -- chapter FOR CHAPTER 5 -- chapter 6 Play It Again, Sam -- chapter I =J=4, K=2, =l, EF -- + + + +Sa} + airF + + + + + qtiF -- chapter = J = 4, K = 2, L = 1, RESTRICTION EF -- chapter TO SELECTED PROBLEMS -- chapter 7 Two Level Fractional Designs -- chapter THE CONFOUNDING PATTERN -- if the number If the number is even, the result 0 -- If the number is -- chapter If you recall the rules for pooling given in Chapter 3, you will remem- -- chapter If any generator contained only 4 factors, a two factor interaction -- Hand the four interactions AB, BE, CF, and EF and = 2there are four basic factors, -- chapter • • • -- chapter roa Loss 2 -- chapter = 32} was written down and all main effects and -- chapter ABCDEFG -- chapter = = = = = = = -- =DE= = = = = + + -- chapter 8 Other Fractional Designs -- chapter AB interaction would then be -- chapter 1 ss -- chapter = ABCDFGH -- = ··· = = · · · = CDEJtFGH = · · · = CDEJtFHJl -- chapter ~ TABLE 8.6.1 -- chapter 3Ji} Latin Square design generated by l -- 02TD, say the 3ji} 02T D -- chapter 9 Response Surface Designs -- part Appendices -- chapter -- >, --, -- chapter theW Test of Normality -- chapter Test- -- chapter a= I -- chapter x 2Orthogonal Main Effect Design -- chapter x 26 x 3x 2and 4 x 3Orthogonal Main Effect Designs -- chapter x 2Orthogonal Main Effect Design -- chapter Index -- chapter.JB-.
ISBN
  • 1-351-99050-0
  • 1-315-27405-1
  • 1-4822-7752-2
  • 0-585-15738-3
OCLC
1035518346
Doi
  • 10.1201/9781482277524
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage. Read more...
Other views
Staff view

Supplementary Information