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IndexA2DISPLAY procedure 117A2WAY procedure 116Additive model 55ADISPLAY directive 115AGRAPH procedure 115AKEEP directive 18, 115Alpha design 98Analysis of covariance 114Analysis of variancemenu 12, 60one-way 11, 15, 114skeleton 74Analysis of variance by ANOVA, regression orREML menu 112, 119Analysis of Variance menu 16, 29, 37, 47, 66, 102Analysis-of-variance table 11, 49, 66Angular transformation 56Anova Contrasts menu 16, 37, 39ANOVA directive 114ANOVA Further Output menu 13, 17ANOVA Means Plots menu 14ANOVA options menu 38AOVANYHOW procedure 119APLOT procedure 115Assumptions 52Asteriskas crossing operator 43AUDISPLAY procedure 118AUNBALANCED procedure 117Balancefirst-order 87Balanced design 107, 114Bias 28Binomial data 56Block structure 43Blocking 23, 27in two directions 28Blocking structure 22BLOCKSTRUCTURE directive 68, 114Calculate menu 46Combined effects 110Combined means 110COMPARISON function 45Completely randomized design 20, 23Conditional test 93Confounded interaction 82Confounded treatment effect 82Contrast 37, 45comparison 37function 37polynomial 16, 39Control treatment 45, 78Correlation model 101Count data 56cov. ef. 49Covariance efficiency factor 49Covariate 48, 114COVARIATE directive 114Crossing operator 43Cyclic design 98degrees of freedom 4effective 110Design of experiments 74Designs analysable by ANOVA 87Deviations from fitted contrasts 17, 41Display Data in Output Window menu 59Dot characteras operator 43Effective degrees of freedom 110Effective standard errorsfor contrasts 39Effects 9, 10Efficiency 108Efficiency factor 83, 85, 87, 108Error (as residual)in analysis of variance 114Exact test 64Experimental unit 22Extracting resultsfrom analysis of variance 115Factorial model 35Factorial plus added control 45, 80Field experiment 98, 104First-order balance 87Fitted values 34, 35from analysis of variance 115Fixed effect 99Functionfor contrast 45General Analysis of Variance menu 43Generally balanced design 114Generally-balanced design 86Generate a Standard Design menu 74Generate a Standard Design Options menu 75Generating a standard design 74Grand mean 9Graphicsfitted analysis of variance model 115model checking 115Half-Normal plot 54, 55Higher-order term 43, 44Histogram of residuals 55Homogeneous variance 52, 53Information summary 83, 108
Index 121Interaction 34, 35between contrasts 41, 42in analysis of variance 43, 44Keeping resultsfrom analysis of variance 115Latin squarewith split plots 70Latin square design 29, 30Lattice square 107Least significant difference 12, 115Level 32Linear contrast 45Linear mixed model 99, 104, 112Linear Mixed Model Options menu 100Linear Mixed Models Further Output menu 102Linear Mixed Models menu 99, 105Linear model 8, 34additive 52, 55factorial 35with covariate 48Logarithmic transformation 56Logit transformation 56Main effect 34Marginal test 93Mean square 10Missing value 71Mixed Model 98Modelfor analysis of variance 114Model checking 115Model formula 43, 45Model term 43Multiple-comparison tests 19enabling 19Nested structure 45Nesting operator 44Non-additivity 55Non-orthogonal 83Normal distribution 3, 54, 55Normal plot 54, 55Normality of residuals 52, 54Nuisance term 93One- and two-way Analysis of variance menu 12,25, 26, 33, 90, 97One-way analysis of variance 114Orthogonal 83, 89Orthogonal polynomial 17, 18Outlier 52, 55Partially balanced design 114Percentage data 56Permutation test 63POL function 45Polynomial contrast 16, 45Powerin analysis of variance 78Power for Design menu 78Predicted mean 90Predicted valuefrom analysis of variance 115Probabilityfor F-statistic 115Proportions 56Pseudo-factor 88Quadratic contrast 45Quantile 54Random effect 99Randomization 27, 74Randomized-block design 23, 30, 33, 55, 75generating 27REG function 45REML 98compared to ANOVA 111REML directive 118Replication 4required in a design 75Replications Required menu 76Residual 8from analysis of variance 115Residual plot 53, 55half-Normal 54Normal plot 54RSCREEN procedure 117Savinganalysis of variance results 115Screening test 93Skeleton analysis of variance 74Slash symbol 44Spline 100Split-plot design 45, 66, 99, 115Split-split-plot design 69Stabilize the variance 56Standard errorof difference of means 4, 12, 48, 68, 115of mean 115Standard errors 85for contrasts 39Standard errors of differences between means 85Stats menu 74, 80Storageof results from analysis of variance 115Stratum 26, 66, 69, 108, 115Stratum variance 110Sum of squares 9corrected for the grand mean 11due to the treatments 10Summarize Contents of Variates menu 6t-testby hand 4two-sample 3T-Tests menu 6Table of means 102back-transformed 59in ANOVA 85
Page 1 and 2:
Anova and Design
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ContentsIntroduction 11 From t-test
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1 From t-test to one-way anovaIn th
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4 1 From t-test to one-way anovaIf
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6 1 From t-test to one-way anovaWe
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8 1 From t-test to one-way anova1.2
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10 1 From t-test to one-way anovawi
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12 1 From t-test to one-way anovaAl
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14 1 From t-test to one-way anovaYo
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16 1 From t-test to one-way anovaFi
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18 1 From t-test to one-way anovaTa
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20 1 From t-test to one-way anovaTh
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2 Blocking structuresThe blocking s
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24 2 Blocking structuresBlock 1D4.6
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26 2 Blocking structuresNow we repe
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28 2 Blocking structureswould give
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30 2 Blocking structuresAnalysis of
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3 Treatment structureSo far we have
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34 3 Treatment structureTables of m
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36 3 Treatment structureFigure 3.3
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38 3 Treatment structureThere is a
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40 3 Treatment structureblock.*Unit
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42 3 Treatment structureTables of c
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44 3 Treatment structureN * Swas us
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46 3 Treatment structureFumigant Am
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48 3 Treatment structureFumigated S
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50 3 Treatment structureCovariate 1
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4 Checking the assumptionsIn this c
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54 4 Checking the assumptions4.2 No
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56 4 Checking the assumptions4.5 Tr
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58 4 Checking the assumptionsFigure
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60 4 Checking the assumptionsThe pr
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62 4 Checking the assumptionsTotal
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64 4 Checking the assumptionsMessag
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66 5 Designs with several error ter
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68 5 Designs with several error ter
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Page 78 and 79: 74 6 Design and sample size6.1 Desi
Page 80 and 81: 76 6 Design and sample sizeClicking
Page 82 and 83: 78 6 Design and sample sizeFigure 6
Page 84 and 85: 80 6 Design and sample sizeFigure 6
Page 86 and 87: 82 7 Balance and non-orthogonality7
Page 88 and 89: 84 7 Balance and non-orthogonalityA
Page 90 and 91: 86 7 Balance and non-orthogonalityT
Page 92 and 93: 88 7 Balance and non-orthogonalityF
Page 94 and 95: 90 7 Balance and non-orthogonalityf
Page 96 and 97: 92 7 Balance and non-orthogonality7
Page 98 and 99: 94 7 Balance and non-orthogonalityM
Page 100 and 101: 96 7 Balance and non-orthogonalityM
Page 102 and 103: 8 REML analysis of unbalanced desig
Page 104 and 105: 100 8 REML analysis of unbalanced d
Page 118 and 119: 9 Commands for analysis of variance
Page 120 and 121: 116 9 Commands for analysis of vari
Page 122 and 123: 118 9 Commands for analysis of vari
Page 126: 122 IndexTransformation 56logarithm
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