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1. |
Record Nr. |
UNINA9910969792603321 |
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Autore |
Verbeke Geert |
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Titolo |
Linear Mixed Models in Practice : A SAS-Oriented Approach / / edited by Geert Verbeke, Geert Molenberghs |
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Pubbl/distr/stampa |
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New York, NY : , : Springer New York : , : Imprint : Springer, , 1997 |
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Edizione |
[1st ed. 1997.] |
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Descrizione fisica |
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1 online resource (319 pages) |
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Collana |
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Lecture Notes in Statistics, , 2197-7186 ; ; 126 |
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Classificazione |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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1 Introduction -- 2 An Example-Based Tour in Linear Mixed Models -- 2.1 Fixed Effects and Random Effects in Mixed Models -- 2.2 General Linear Mixed Models -- 2.3 Variance Components Estimation and Best Linear Unbiased Prediction -- 2.4 Fixed Effects: Estimation and Hypotheses Testing -- 2.5 Case Studies -- 3 Linear Mixed Models for Longitudinal Data -- 3.1 Introduction -- 3.2 The Study of Natural History of Prostate Disease -- 3.3 A Two-Stage Analysis -- 3.4 The General Linear Mixed-Effects Model -- 3.5 Example -- 3.6 The RANDOM and REPEATED Statements -- 3.7 Testing and Estimating Contrasts of Fixed Effects -- 3.8 PROC MIXED versus PROC GLM -- 3.9 Tests for the Need of Random Effects -- 3.10 Comparing Non-Nested Covariance Structures -- 3.11 Estimating the Random Effects -- 3.12 General Guidelines for Model Construction -- 3.13 Model Checks and Diagnostic Tools ? -- 4 Case Studies -- 4.1 Example 1: Variceal Pressures -- 4.2 Example 2: Growth Curves -- 4.3 Example 3: Blood Pressures -- 4.4 Example 4: Growth Data -- 5 Linear Mixed Models and Missing Data -- 5.1 Introduction -- 5.2 Missing Data -- 5.3 Approaches to Incomplete Data -- 5.4 Complete Case Analysis -- 5.5 Simple Forms of Imputation -- 5.6 Available Case Methods -- 5.7 Likelihood-Based Ignorable Analysis and PROC MIXED -- 5.8 How Ignorable Is Missing At Random ? ? -- 5.9 The Expectation-Maximization Algorithm ? -- 5.10 Multiple Imputation ? -- 5.11 Exploring the Missing Data Process -- A Inference for Fixed Effects -- |
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A.1 Estimation -- A.2 Hypothesis Testing -- A.3 Determination of Degrees of Freedom -- A.4 Satterthwaite’s Procedure -- B Variance Components and Standard Errors -- C Details on Table 2.10: Expected Mean Squares -- D Example 2.8: Cell Proliferation -- References. |
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Sommario/riassunto |
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The dissemination of the MIXED procedure in SAS has provided a whole class of statistical models for routine use. We believe that both the ideas be hind the techniques and their implementation in SAS are not at all straight forward and users from various applied backgrounds, including the phar maceutical industry, have experienced difficulties in using the procedure effectively. Courses and consultancy on PROC MIXED have been in great demand in recent years, illustrating the clear need for resource material to aid the user. This book is intended as a contribution to bridging this gap. We hope the book will be of value to a wide audience, including applied statisticians and many biomedical researchers, particularly in the pharma ceutical industry, medical and public health research organizations, con tract research organizations, and academic departments. This implies that our book is explanatory rather than research oriented and that it empha sizes practice rather than mathematical rigor. In this respect, clear guidance and advice on practical issues are the main focus of the text. Nevertheless, this does not imply that more advanced topics have been avoided. Sections containing material of a deeper level have been sign posted by means of an asterisk. |
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2. |
Record Nr. |
UNINA9910899894503321 |
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Titolo |
State of the Art and Future Trends in Materials Modelling 2 / / edited by Holm Altenbach, Andreas Öchsner |
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Pubbl/distr/stampa |
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Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 |
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ISBN |
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Edizione |
[1st ed. 2024.] |
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Descrizione fisica |
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1 online resource (665 pages) |
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Collana |
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Advanced Structured Materials, , 1869-8441 ; ; 200 |
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Disciplina |
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Soggetti |
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Continuum mechanics |
Numerical analysis |
Materials science - Data processing |
Continuum Mechanics |
Numerical Analysis |
Computational Materials Science |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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Preface -- 1 Damage Behavior in Additive Manufacturing based on Infill Pattern and Density with Carbon Particle Filled PolyLactic Acid (CF-PLA) Polymer Filaments -- 2 Advanced Mathematical Modeling of Moisture Transport in Polymer Composite Materials: State-of-the-Art and Numerical Computation -- 3 Natural Vibration and Stability of Prestressed Cylindrical Shells Containing Fluid -- 4 Creep and Fretting Wear Modelling for Rod-Cylinder Periodical Contacts -- 5 Influence of UV Irradiation on the Tensile Properties of Titanium Dioxide Composites for the Selective Laser Sintering Process -- 6 Ellipticity and Hyperbolicity Within Nonlinear Strain Gradient Elasticity: 1D Case -- 7 Dispersive and Dissipative Effects During the Propagation of Plane Shear Waves in Plates which Interact with Linear Elastic and Nonlinear Elastic Foundations -- 8 Effective Properties of Micropolar Laminated Media Under the Influence of Constitutive Property Rotation -- 9 Torsion of Non-Circular Functionally Graded Material Shafts -- 10 Biaxial Specimens for the Analysis of Ductile Damage and Fracture in Sheet Metals -- 11 Drying Mathematical Modeling of Clay Materials: State-of-the-Art Review and Engineering Applications -- 12 Contact |
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Problem for a Piecewise Homogeneous Plane with a Finite Crack Under the Static Friction -- 13 Prediction of Static Macroscopic Material Behaviour of Additively Manufactured Metals through Crystal Plasticity Modelling -- 14 Phase Field Approach for Damage in Quasi-Brittle Polycrystalline Microstructures -- 15 Optimization of Welding Parameters on Friction Stir Welding of AA5052 Thin Plate by Using Taguchi Method -- 16 Hierarchical Models for the Thermoelastic Deformation of Chiral Porous Prismatic Shells -- 17 Energy Equivalence Based Estimation of Composite Materials Mechanical Properties -- 18 Advanced Materials Modelling in Joining by Plastic Deformation -- 19 Modeling the Accumulation of Damage in the Alloy IN738LC -- 20 Rotationally Symmetric Limit Surface for Hard Isotropic Foams -- 21 Considerations About Classical and Weak Solutions in a Thermoelastic Cosserat Body with Voids -- 22 Localized Modes of Anti-Plane Shear Vibrations of an Elastic Ultrathin Layer with a Free Upper Face Having Imperfections -- 23 Modelling the Elasto-Plastic Material Behavior of Textured Hexagonal Close-Packed Metals -- 24 Analysis on Fatigue Life of Mixing Tee Weldments Subjected to Dynamic Loadings in Piping Systems -- 25 Attraction Basins and Longitudinal Resonances in the Generalized Kapitsa Problem for the Inflexible Longitudinally Deformable Rod -- 26 Generation of Bending Waves in a Mass-in-Mass Metamaterial -- 27 Thermoelasto-Plastic Modeling of Structural Steel: A Parameter Study on Residual Stress Concentrations in Ribbed Reinforcing Bars -- 28 Contact of the Stamp with an Elastic Half-Plane. Comparative Analysis of Models Accounting for Friction Between Them -- 29 Thermomechanical Properties of 3D-Printed Structures -- 30 A Direct and High-Efficiency Approach to Accurately Simulating Overall Bending Responses of Ultra-High Performance Fiber-Reinforced Concrete Beams up to Failure. |
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Sommario/riassunto |
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This volume illuminates exciting new developments and approaches of classical mechanical problems. The ongoing necessity for research in this field stems from the need for new engineering solutions that save our resources and supplies sustainability standards as well as further considerations such as recyclability and environmental compatibility. These demands stimulate the special design of materials, e.g. composites. The interaction between materials and structures is related to different length scales and the combination of micro-, meso- or macroscale approaches results in new application possibilities. In addition, materials and structures are increasingly being analyzed under the influence of various physical fields. |
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