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Casella G. — Statistical Design
Casella G. — Statistical Design



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Название: Statistical Design

Автор: Casella G.

Аннотация:

Statistical design is one of the fundamentals of our subject, being at the core of the growth of statistics during the previous century. Design played a key role in agricultural statistics and set down principles of good practic, principles that still apply today. Statistical design is all about understanding where the variance comes from, and making sure that is where the replication is. Indeed, it is probably correct to say that these principles are even more important today.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2008

Количество страниц: 312

Добавлена в каталог: 14.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Albert, A.      81 83
Analysis of covariance      62 (see also “Ancova”)
Analysis of variance      8 (see also “Anova”)
Ancova      62
Ancova, adjusted means      69
Ancova, contrast variance      63 68
Ancova, covariate      63
Ancova, interpretation      65
Ancova, least squares      64
Ancova, model      64
Ancova, table      66
Ancova, test      67
Ancova, treatment variance      69
anova      8
Anova-test, block vs.random factor      110
Anova-test, distribution, contrasts      83
Anova-test, EMS      51 (see also “EMS”)
Anova-test, F-test, twoway CRD      83
Anova-test, fourway      62
Anova-test, incomplete blocks      108 (see also “BIBD”)
Anova-test, interaction      54
Anova-test, interaction plot      55
Anova-test, interaction qualitative      54
Anova-test, interaction quantitative      54 55
Anova-test, intraclass correlation      125
Anova-test, main effects      52
Anova-test, Model II      109
Anova-test, oneway CRD      83
Anova-test, raters      125
Anova-test, reliability      125
Anova-test, sum of squares partial      90
Anova-test, sum of squares sequential      90
Anova-test, testing blocks      108
Anova-test, total sum of squares      9
AR(1) errors      216 239
Autoregressive errors      216 239
Bar notation      3
Belko, A.Z.      212
Benjamini, Y.      87
Berger, R.L.      37 77 80 84 235 276
Berkowitz, R.      253 275
Bhattacharya, C.G.      287
Bias, elimination of      17
BIBD      108 247 248
BIBD, anova      248 251
BIBD, contrast distribution      253
BIBD, contrast variance      252
BIBD, defining equations      249
BIBD, generalizations      254
BIBD, interblock estimator      286
BIBD, intuitive estimate      251
BIBD, least squares estimators      250
BIBD, model      250
BIBD, relation to loop design      270
BIBD, relation to reference design      268
BIBD, simple      249
Block design      248 (see also “BIBD”)
Bonferroni inequality      86
Bradley, E.L.      84
Brandt, A.E.      228
Brogan, D.R.      219
Brown, L.D.      287
Casella, G.      17 37 77 80 84 235
Chang, J.J.      275
Churchill, G.A.      41 169 268
Cochran, W.G.      76 81 265 276
Cochran’s theorem, oneway CRD      81
Cochran’s theorem, RCB with replication      137
Cochran’s theorem, RCB, contrast      107
Cochran’s theorem, RCB, fixed blocks      148
Cochran’s theorem, RCB, interaction      138
Cochran’s theorem, RCB, no replication      136
Cochran’s theorem, split plot      235
Cohen, A.      287
Completely randomized design (CRD)      23 (see also “CRD”)
Confounding variables      17
contrast      11
Contrast, distribution      54
Contrast, Helmert      12 13
Contrast, interaction      60
Contrast, Latin square      120
Contrast, orthogonal      11 13 37 46 60
Contrast, polynomial      14
Contrast, sum of squares      13 46
Contrast, sum of squares, RCB      95
Contrast, unbiased      53
Contrast, uncorrelated      12 37
Contrast, variance      53 63
Contrast, variance, ancova      68
Contrast, variance, RCB      95 104 106
Cornell, J.A.      72
Correlation      100 (see also “Model”)
Covariance      7
Covariate      63
Cox, D.R.      142 255 256 280
Cox, G.M.      265 276
CRD      2
CRD, design      23 43 289
CRD, factorial interaction      54
CRD, fourway      62
CRD, oneway, anova      46
CRD, oneway, Cochran’s theorem      81
CRD, oneway, design      43
CRD, oneway, EMS      73
CRD, oneway, F-test      83
CRD, oneway, least squares estimators      50
CRD, oneway, model      2
CRD, oneway, pooled MSE      45
CRD, oneway, randomization test      166
CRD, oneway, two sample t      44
CRD, threeway, identifiability      77
CRD, twoway, contrast      53
CRD, twoway, contrast distribution      83
CRD, twoway, EMS      51
CRD, twoway, F-test      83
CRD, twoway, interaction      52
CRD, twoway, residual error      53
CRD, twoway, sum of squares partition      47
Crossed blocks design      115 (see also “Design”)
Crossed design      18 (see also “Design”)
Crossover, covariance      215
Crossover, data layout      214
Crossover, equicorrelation      215
Crossover, relation to Latin square      215
Crossover, relation to split plot      215
Crossover, simple crossover, anova      212
Crossover, simple crossover, carryover effect      212 213
Crossover, simple crossover, data layout      211 212
Crossover, simple crossover, equicorrelation      215
Crossover, simple crossover, relation to Latin square      213
Crossover, simple crossover, relation to split plot      212
Crossover, simple crossover, test on order      213
Crossover, simple crossover, washout period      212
Crossover, three period      214
Crossover, three period, anova      215
Cui, X.      270
Data, discarding      89
Data, layout      20 (see also “Design”)
Data, missing      89
Data, snooping      86
Data, unbalanced      89
Davis, C.S.      241
Dean, A.      15 72 192 109 254 255 280
Default analysis      6
Desgin, complete      18
Desgin, CRD      43 (see also “CRD”)
Desgin, CRD, oneway      43 (see also “CRD”)
Desgin, crossed      18 20
Desgin, crossed blocks      115
Desgin, data layout      20
Desgin, experiment      22 48
Desgin, factorial      18 20
Desgin, factorial confounded in blocks      292
Desgin, factorial confounded in blocks, field layout      20 92
Desgin, field layout      21
Desgin, incomplete      18 (see also “Incomplete blocks”)
Desgin, Latin square      117
Desgin, lattice      263
Desgin, microarray      40
Desgin, nested      18
Desgin, randomized      93
Desgin, RCB, fixed blocks      93
Desgin, resolvable      262
Desgin, split plot      171 (see also “Split plot”)
Desgin, strip plot      115
Desgin, treatment      18 20 48
Desgin, unbalanced      89
Desgin, Youden square      280
Discarding data      89
Distribution, anova, contrasts      83
Distribution, F, central      57 84
Distribution, F, doubly noncentral      85
Distribution, F, noncentral      57 84
Distribution, F, oneway CRD      83
Distribution, F, twoway CRD      83
Distribution, stochastically, increasing      57 84
Distribution, sum of squares      81
Doerge, R.W.      169
dot notation      3
Downward, J.      41
Edgington, E.      169
Efron, B.      169 281
EM algorithm      89
EMS (expected mean squares)      51
EMS (expected mean squares), attribute      78
EMS (expected mean squares), crossed blocks      117
EMS (expected mean squares), oneway CRD      73
EMS (expected mean squares), RCB, no subsampling      102
EMS (expected mean squares), RCB, replication      111
Epistasis      57
Error rate, Bonferroni      86
Error rate, data snooping      86
Error rate, experimentwise      86
Error rate, false discovery      87
Error rate, familywise      86
Error rate, Scheffe      86
Error, autoregressive      216 239
Error, pure      45
Error, residuals      45
Error, residuals, Latin square      118
Error, residuals, RCB      97
Error, residuals, twoway CRD      53
Error, within      45 48
Estimable      37
Estimator, contrast      53
Estimator, least squares, ancova      64
Estimator, least squares, Latin square      120
Estimator, least squares, RCB      104
Estimator, likelihood      37
Estimator, unbiased      3 7
Estimator, variance components      142 (see also “Variance components”)
Exchangeable      169
Experiment design      22 48
Experiment, factorial      59
Experiment, microarray      14 23 40
Experiment, microarray, BIBD vs.reference design      268
Experiment, microarray, dye bias      267
Experiment, microarray, loop design      268—272
Experiment, microarray, loop design vs.BIBD      270
Experiment, microarray, pooling      270
Experiment, microarray, reference design      267—270
Experiment, microarray, split plot      238
Experiment, microarray, split split plot      222
Experiment, QTL      57
Experiment, replication of      112
Experimental unit      3
F distribution      57 (see also “Distribution”)
Factorial design      18(see also “Design”)
Factorial design, confounding in blocks      292
False discovery rate      87
Federer, W.T.      64 265
Feldt, L.S.      217 238
Field layout      20 (see also “Design”)
Finney, D.J.      69
Fisher, R.A.      1 96 166
Fixed effects      91 98
Fractional factorial      254
Fractional factorial, alias      256
Fractional factorial, alias set      257 258 262
Fractional factorial, anova      258 259
Fractional factorial, complete blocks      258
Fractional factorial, confounding      255
Fractional factorial, confounding structure      266
Fractional factorial, defining contrast      256
Fractional factorial, effect estimates      260
Fractional factorial, intrablock subgroup      257
Fractional factorial, large factorials      261
Fractional factorial, model      260
Fractional factorial, modular arithmetic      256
Fractional factorial, relation to Latin square      265
Fractional factorial, treatment contrasts      255 266
Gail, M.      55
Gates, C.E.      109
Geisser, S.      240
Genovese, C.R.      88
Good, P.      169
Graybill, F.A.      81 84 287
Greenhouse, S.W.      240
Harville, D.A.      140
Hicks, C.R.      221 251
Hinkelmann, K.      166 167 169
Hochberg, Y.      87
Hocking, R.R.      109 140
Hotelling’s $T^2$      217
Hsu, J.C.      86 276
Hultquist, R.A.      81 84
Huynh — Feldt conditions      238
Huynh, H.      217 238
Idempotent      38 (see also “Matrix”)
Identifiability      49 50
Identifiability, constraint      90
Identifiability, threeway      77
Incomplete blocks      243 (see also “also BIBD”)
Incomplete blocks, anova      244 247
Incomplete blocks, balanced      247
Incomplete blocks, balanced anova      248
Incomplete blocks, confounding      243
Incomplete blocks, contrasts      245 247
Incomplete blocks, estimation of treatment effects      245
Incomplete blocks, pooling      246
Inference scope      146
Interaction plot      55 (see also “Anova”)
Interblock estimate      286 (see also “BIBD”)
Intraclass correlation      125 140
Kacker, R.N.      140
Kempthorne, O.      166 167 169
Kerr, M.K.      41 265 268 281 282
Khuri, A.I.      72 81
Kuehl, R.O.      74 262
Kutner, M.H.      219
Latin square      117
Latin square, anova      119
Latin square, balance      119
Latin square, confounding structure      266
Latin square, contrasts      120
Latin square, design      290
Latin square, F-test      119
Latin square, field layout      118
Latin square, least squares estimator      120
Latin square, model      119
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