Index

  • Analysis of variance (ANOVA). See also Univariate analysis of variance (ANOVA)
    • Balaam’s cross-over design
    • balanced residual effects designs
    • cross-over designs with residual effects
    • cross-over design without residual effects:
      • Latin square designs
      • Youden square designs
    • k-sample RMD
    • one-sample repeated measurement design
    • split-plot CODWR designs
    • split-plot designs
    • two-way designs
    • Williams’ BREDS extra-period designs, residual effects proportional to direct effects
  • Antagonism, joint action growth curve models
  • Association matrices, partially balanced incomplete block design
  • Asymptotic distribution:
    • k-sample RMD, equality of dispersion/sphericity condition matrix testing
    • sphericity condition testing, one-sample repeated measurement design
  • Balaam’s cross-over design, t treatments
  • Balanced arrays, BRED design construction
  • Balanced block designs (BBD), basic principles
  • Balanced circular arrangements, BRED construction
  • Balanced incomplete block designs (BIBD):
    • balanced residual effects designs and
    • basic principles
    • construction principles
    • OSI series design
  • Balanced lattice squares
  • Balanced residual effects designs (BRED). See also Williams’ balanced residual effects design
    • analysis
    • characteristics and examples
    • construction principles
      • balanced circular arrangements
      • treatment balanced residual effects designs
    • nested designs
    • numerical example
    • partially balanced incomplete block design
    • Patterson’s BRED:
      • construction principles
      • examples
    • PBCOD(m) designs
    • recent trends in
  • Best linear unbiased estimate (BLUE):
    • cross-over design without residual effects, fixed-effects analysis
    • extra-period designs
  • Binary response, one-sample repeated measurement design
  • Block matrices, k-sample RMD, unequal dispersion matrices
  • Carryover effects:
    • cross-over designs
    • two-period cross-over designs with residual effects
  • Chain rule of differentiation, Williams’ BREDS extra-period designs, residual effects proportional to direct effects
  • Change-over designs. See Cross-over designs
  • Chi-squared (χ2) distribution, k-sample RMD, equality of dispersion/sphericity condition matrix testing
  • Circular residual effects:
    • balanced circular arrangements
    • cross-over design with residual effects
    • one-sample repeated measurement design
  • CODWOR. See Cross-over designs without residual effects
  • Combinatorially overall balanced residual effects designs (COBREDs)
    • construction principles
  • Completely randomized design (CRD):
    • characteristics and examples
    • two-period cross-over designs with residual effects, cost analysis
  • Concordance correlation coefficient (CCC), one-sample repeated measurement design
    • multiresponse CCC
  • Confidence intervals, cross-over design without residual effects:
    • Latin square designs
    • Youden square designs
  • Connectedness property, cross-over design without residual effects:
    • fixed-effects analysis
    • multifactor experiments
  • Construction guidelines:
    • balanced circular arrangements
    • balanced incomplete blocks designs
    • balanced residual effects designs
    • B-arrays
    • combinatorially overall balanced residual effects design
    • cross-over designs
      • Galois fields
    • generalized Youden square design
    • MOLS and Patterson’s BRED designs
    • partially balanced cross-over designs with m associate classes
    • treatment balanced residual effects designs
    • Williams’ balanced residual effects design
  • Cost analysis, two-period cross-over designs with residual effects
  • Cross-over designs:
    • characteristics and examples
    • construction principles
      • future research issues
    • modifications
    • two-period designs
  • Cross-over designs without residual effects (CODWOR):
    • basic principles
    • characteristics and examples
    • connectedness in
    • fixed-effects analysis
    • F-squares
    • Latin square designs
    • lattice square designs
    • numerical example
    • orthogonality
      • Latin squares
    • random unit effects
    • Youden squared design
  • Cross-over designs with residual effects (CODWR). See also Balanced residual effects designs (BRED); Generalized residual effects designs (GRED); Two-period cross-over designs with residual effects
    • analysis and applications
    • balanced residual effects
    • basic principles
    • characteristics and examples
    • circular arrangement
    • extra-period designs
    • five-period designs
    • general linear model
    • nested design
    • numerical examples
    • parametric function estimation
    • PBCOD(m) procedures
    • proportionality to direct effects
    • random unit effects
    • recent developments in
    • split-plot type design
    • treatment balanced residual designs
    • undiminished designs
  • Cumulative logit analysis, k-sample RMD, ordered categorical response
  • Cyclic cross-over designs (CODs), cyclic matrices
  • Cyclic matrices, Cyclic cross-over designs
  • D0 class designs, cross-over design without residual effects
  • Direct effects:
    • Balaam’s cross-over design
    • cross-over designs
    • cross-over designs with residual effects
      • numerical example
    • Williams’ BREDS extra-period designs
      • residual effects proportional to
  • Dispersion matrices. See also Equal dispersion matrices; Unequal dispersion matrices
    • sigmoidal curves
  • D-optimal designs, sigmoidal curves
  • Doubly connected designs, cross-over design without residual effects
  • Equal dispersion matrices. See also Unequal dispersion matrices
    • k-sample RMD:
      • p-value test
      • testing for
  • Equality of variances, cross-over designs with residual effects, numerical example
  • Experimental units, characteristics of
  • Extra-period CODWR designs
  • Factorial treatment combinations, split-plot cross-over designs with residual effects
  • Five-period CODWR, development of
  • Fixed effects analysis, cross-over designs without residual effects
  • Four-parameter models, sigmoidal curves
  • F-square design, basic principles
  • F values:
    • cross-over design without residual effects:
      • Latin square designs
      • Youden square designs
    • cross-over design with residual effects
    • k-sample RMD, univariate ANOVA
    • one-sample repeated measurement design:
      • multivariate methods
      • PROC GLM procedure
  • Galois fields (GF):
    • balanced residual effects design
    • cross-over design construction
  • Generalized residual effects designs (GRED):
    • characteristics and examples
    • classification of
    • GRED-I analysis,
    • GRED-II analysis,
  • Generalized Youden square design (GYD):
    • basic principles
    • construction principles
  • Gompertz model, sigmoidal curves
  • Greenhouse-Geisser epsilon:
    • k-sample RMD
    • one-sample repeated measurement design, PROC GLM procedure
  • Growth curves:
    • characteristics and examples
    • joint action models
    • mixed models
    • nonlinear models
    • numerical examples
    • overview of models
    • sigmoidal curves
    • simple linear models
  • Heterogeneity:
    • cross-over design without residual effects, doubly connected designs
    • two-way elimination, heterogeneity designs
  • Hotelling’s T2 distribution, one-sample repeated measurement design
  • Huynh-Feldt epsilon:
    • k-sample RMD
    • one-sample repeated measurement design
  • Huynh-Feldt-Lecoutre epsilon, k-sample RMD
  • Incidence matrices:
    • cross-over designs with residual effects
    • partially balanced incomplete block design
  • Independent joint, joint action growth curve models
  • Joint action growth curve models
  • k2 treatments, lattice square designs
  • Kronecker delta:
    • one-sample repeated measurement design, univariate analysis of variance
    • partially balanced cross-over design with m associate classes
      • construction guidelines
  • k-sample RMD
    • basic properties
    • equality of dispersion/sphericity condition, testing for
    • multivariate methods
      • unequal dispersion matrices
    • numerical example
    • ordered categorical response analysis
    • univariate analysis of variance
  • Latin square designs:
    • balanced residual effects designs
    • characteristics and examples
    • combinatorially overall balanced residual effects design
    • cross-over design without residual effects
    • mutually orthogonal Latin squares
    • orthogonality
    • Williams’ BREDS extra-period designs
      • construction principles
      • nested designs
  • Lattice square designs, basic principles
  • Least squares estimation:
    • balanced residual effects designs
    • cross-over design without residual effects, random unit effects
    • two-period cross-over designs with residual effects
  • Likelihood function:
    • k-sample RMD, equality of dispersion/sphericity condition matrix testing
    • sphericity condition testing, one-sample repeated measurement design
  • Likelihood ratio criterion:
    • k-sample RMD, equality of dispersion/sphericity condition matrix testing
    • sphericity condition testing, one-sample repeated measurement design
  • Linear estimation theory, cross-over design without residual effects, fixed-effects analysis
  • Linear models:
    • cross-over designs without residual effects
    • cross-over designs with residual effects
    • generalized residual effects designs
    • sigmoidal curves
    • simple linear growth curve model
  • Linear unbiased estimators, mixed growth curve model analysis
  • Logistic models:
    • joint action growth curve models
    • nonlinear growth curve model
    • sigmoidal curves
  • Mann-Whitney test, two-period cross-over designs with residual effects
  • Marginal probabilities, k-sample RMD, ordered categorical response
  • McNemar’s test, one-sample repeated measurement design, binary response
  • Mixed effects growth curve models:
    • cross-over design without residual effects
    • simple linear models
  • Mixed growth curve models, analysis of
  • Multiresponse concordance correlation coefficient (CCC), one-sample repeated measurement design
  • Multivariate methods:
    • k-sample RMD
      • unequal dispersion matrices
    • one-sample repeated measurement design
  • Mutually orthogonal Latin squares (MOLS):
    • construction guidelines
    • defined
  • Nested designs, analysis of
  • Nonadditive response, joint action growth curve models
  • Nonadditivity parameter, joint action growth curve models
  • Noncentrality parameters, k-sample RMD, univariate ANOVA
  • Nonlinear models:
    • growth curves
    • sigmoidal curves
  • Nonparametric analysis, two-period cross-over designs with residual effects
  • Non-parametric methods, cross-over designs
  • Nonsphericity condition, one-sample repeated measurement design, univariate analysis of variance
  • Null hypotheses:
    • cross-over design without residual effects:
      • fixed-effects analysis
      • Youden square designs
    • k-sample RMD
      • classification of
      • multivariate methods
      • unequal dispersion matrices
    • one-sample repeated measurement design
      • binary response
      • multivariate methods
      • univariate analysis of variance
    • two-period cross-over designs with residual effects
  • Off-diagonal elements, cross-over designs with residual effects
  • One-sample repeated measurement design:
    • basic conditions
    • binary response
    • concordance correlation coefficient
    • multiresponse concordance correlation coefficient
    • multivariate methods
    • properties and examples
    • sphericity condition testing
    • univariate analysis of variance
      • nonsphericity condition
  • Optimality:
    • balanced residual effects design
    • two-period cross-over designs with residual effects
  • Ordered categorical response, k-sample RMD
  • Orthogonality:
    • cross-over design without residual effects, multifactor experiments
    • F-square designs
    • Latin square designs
  • OSI series design
  • Parallelism hypothesis, k-sample RMD
  • Parametric function estimation:
    • balanced residual effects design, construction principles
    • cross-over design with residual effects
    • two-period, two-treatment cross-over designs with residual effects
      • best linear unbiased estimate
      • cost analysis
      • direct effects contrast estimation
      • intra- and interunit components
      • modified design
  • Partially balanced cross-over designs with m associate classes (PBCOD(m)):
    • analysis
    • characterization of
    • construction principles
    • nested designs
    • recent trends in
    • research on expansion of
  • Partially balanced incomplete block design (PBIBD), analysis
  • Patch work construction:
    • balanced residual effects design
    • generalized Youden square design
  • Penalized least squares, mixed growth curve model analysis
  • Poisson distribution, non-parametric methods, cross-over designs
  • Probit model, sigmoidal curves
  • PROC GLM procedure (SAS):
    • cross-over designs without residual effects
    • k-sample RMD
    • one-sample repeated measurement design
    • split-plot CODWR designs
  • PROC LOGISTIC (SAS), k-sample RMD, ordered categorical response
  • PROC MIXED procedure (SAS):
    • cross-over designs without residual effects
    • cross-over design without residual effects
    • mixed growth curve model analysis
  • Proportional odds model, k-sample RMD, ordered categorical response
  • Pseudo-Youden designs, basic principles
  • p-value:
    • balanced residual effects designs
    • cross-over designs with residual effects, equality of variances
    • k-sample RMD:
      • ordered categorical response
      • sphericity condition
    • one-sample repeated measurement design, PROC GLM procedure
  • Random effects parameters:
    • cross-over design without residual effects, unit effects
    • cross-over design with residual effects, unit or subject effects
    • mixed growth curve model analysis
    • two-period cross-over designs with residual effects
  • Randomized block design (RBD), characteristics and examples
  • Rectangular association schemes, PBCOD(m) design
    • construction guidelines
  • Repeated measurement designs (RMD):
    • classification
    • cross-over designs
    • growth curves
    • k-sample RMD
    • modified cross-over designs
    • nonparametric methods
    • one-sample RMD
    • split-plot designs
    • two-period cross-over designs
  • Residual effects. See also Cross-over designs with/without residual effects (CODWR/CODWOR); specific residual effects designs, e.g., Treatment balanced residual effects designs
    • circular CODWR
    • cross-over designs
    • strongly balanced residual effects, BRED designs
    • Williams’ BREDS extra-period designs
      • direct effects proportional to
  • Restricted maximum likelihood (REML) estimation, mixed growth curve model analysis
  • Row-columns designs, fixed effects analysis
  • SAS program:
    • cross-over design with residual effects
    • k-sample RMD, examples
    • mixed growth curve model analysis
    • one-sample repeated measurement design, PROC GLM procedure
    • sigmoidal curve modeling
    • split-plot CODWR designs
    • split-plot designs
  • Scheffe’s method:
    • cross-over design without residual effects:
      • fixed-effects analysis
      • Latin square designs
      • multiple comparisons
      • Youden square designs
    • univariate analysis of variance:
      • k-sample RMD
      • one-sample repeated measurement design
  • Semibalanced lattice squares
  • Sigmoidal curves (S-curves), properties and applications
  • Similar joint action, joint action growth curve models
  • Simple linear growth curve model, analysis of
  • Skeleton ANOVA, split-plot CODWR designs
  • Sphericity condition:
    • k-sample RMD
      • matrix testing
      • p-values
    • one-sample repeated measurement design
      • definition
      • PROC GLM procedure
      • testing
  • Split-plot designs:
    • carryover designs
    • characteristics and examples
    • cross-over designs with residual effects
  • Strongly balanced residual effects, balanced residual effects designs
  • Student-Neuman-Keuls procedure, split-plot designs
  • Subject effects, cross-over design with residual effects
  • Sums of squares:
    • cross-over design without residual effects, fixed-effects analysis
    • k-sample RMD, univariate ANOVA
    • one-sample repeated measurement design, univariate analysis of variance
    • Youden square design, random unit effects
  • Switch-over designs. See Cross-over designs
  • Symmetric balanced incomplete block designs (BIBD), basic principles
  • Synergism, joint action growth curve models
  • Test of significance, one-sample repeated measurement design
  • Treatment-balanced residual effects designs (TRED):
    • analysis
    • characteristics and examples
    • construction principles
    • future research issues
  • Triangular association schemes, PBCOD(m) design
    • construction guidelines
  • t-statistic, cross-over design without residual effects, Latin square designs
  • t treatments, two-period cross-over designs with residual effects
  • Two-period cross-over designs with residual effects:
    • basic principles
    • numerical examples
    • t treatment design
    • two-treatment analysis:
      • nonparametric methods
      • parametric methods
        • best linear unbiased estimate
        • cost analysis
        • direct effects contrast estimation
        • intra- and interunit components
        • modified design
      • recent trends in
  • Two-period two-treatment cross-over designs, characteristics and examples
  • Two-way elimination, heterogeneity designs
  • Undiminished residual effects designs
  • Unequal dispersion matrices, k-sample RMD
  • Uniform designs across periods
  • Uniform designs across units
  • Unit effects:
    • cross-over design without residual effects
    • cross-over design with residual effects
  • Univariate analysis of variance (ANOVA):
    • k-sample RMD
    • one-sample repeated measurement design
      • nonsphericity condition
    • split-plot designs
  • Universal optimality, balanced residual effects design
  • Washout periods, cross-over designs without residual effects
  • Weighted least squares estimation, cross-over design without residual effects, random unit effects
  • Wilcoxon two-sample rank sum, two-period cross-over designs with residual effects
    • numerical examples
  • Wilks’ Lambda, one-sample repeated measurement design, PROC GLM procedure
  • Williams’ balanced residual effects design:
    • construction principles
      • balanced circular arrangements
      • COBRED design
    • extra-period designs
    • Latin square construction
    • nested designs
    • residual effects proportional to direct effects
    • split-plot designs
  • Wishart density function, k-sample RMD, equality of dispersion/sphericity condition matrix testing
  • Wishart distribution:
    • k-sample RMD, equality of dispersion/sphericity condition matrix testing
    • sphericity condition testing, one-sample repeated measurement design
  • Youden square design:
    • basic principles
    • numerical example
    • random unit effects
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