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Introduction to linear models and statistical inference [[electronic resource] /] / Steven J. Janke, Frederick Tinsley
| Introduction to linear models and statistical inference [[electronic resource] /] / Steven J. Janke, Frederick Tinsley |
| Autore | Janke Steven J. <1947-> |
| Pubbl/distr/stampa | Hoboken, NJ, : Wiley, c2005 |
| Descrizione fisica | 1 online resource (600 p.) |
| Disciplina |
519.5/4
519.54 |
| Altri autori (Persone) | TinsleyFrederick <1951-> |
| Soggetto topico | Linear models (Statistics) |
| ISBN |
1-280-27754-8
9786610277544 0-470-31534-2 0-471-74011-X 0-471-74010-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Introduction to Linear Models and Statistical Inference; Contents; INTRODUCTION: STATISTICAL QUESTIONS; 1. DATA: PLOTS AND LOCATION; 1.1 Plot the Data; 1.2 Measures of Location: Single Observations; 1.3 Measures of Location: Paired Observations; 1.4 Robust Measures of Location: Paired Observations; 1.5 Linear Algebra for Least Squares (Optional); Exercises; 2. DATA: DISPERSION AND CORRELATION; 2.1 Measures of Dispersion: Single Observations; 2.2 Measures of Dispersion: Paired Observations; 2.3 Robust Measures of Dispersion: Paired Observations; 2.4 Analysis of Variance
2.5 Measures of Linear Relationship2.6 Analysis of Variance using Linear Algebra (Optional); Exercises; 3. RANDOM VARIABLES: PROBABILITY AND DENSITY; 3.1 Random Variables; 3.2 Probability; 3.3 Finding Probabilities; 3.4 Densities: Discrete Random Variables; 3.5 Densities: Continuous Random Variables; 3.6 Binomial Random Variables; 3.7 Normal Random Variables; Exercises; 4. RANDOM VARIABLES: EXPECTATION AND VARIANCE; 4.1 Expectation of a Random Variable; 4.2 Properties of Expectation; 4.3 Independent Random Variables; 4.4 Variance of a Random Variable; 4.5 Correlation Coefficient 4.6 Properties of Normal Random Variables4.7 Linear Algebra for Random Vectors (Optional); Exercises; 5. STATISTICAL INFERENCE; 5.1 Populations and Samples; 5.2 Unbiases Estimators; 5.3 Distribution of X; 5.4 Confidence Intervals; 5.5 Hypothesis Testing; 5.6 General Inference Problem; 5.7 The Runs Test for Randomness; 5.8 Testing for Normality; 5.9 Linear Algebra for Inference (Optional); Exercises; 6. SIMPLE LINEAR MODELS; 6.1 Basics of the Simple Linear Model; 6.2 Estimators for the Simple Linear Model; 6.3 Inference for the Slope; 6.4 Testing the Hypothesis b = 0 6.5 Coefficient of Determination6.6 Inference for the Intercept; 6.7 Inference for the Variance; 6.8 Prediction Intervals; 6.9 Regression Through the Origin; 6.10 Earthquake Example; 6.11 Linear Algebra: The Simple Linear Model (Optional); Exercises; 7. LINEAR MODEL DIAGNOSTICS; 7.1 Residual Plots; 7.2 Standardized Residuals; 7.3 Testing Assumption 1: Is X a Valid Predictor?; 7.4 Testing Assumption 2: Does E(ei) = 0 for all i?; 7.5 Testing Assumption 2: Does Var(ei) = s2 for all i?; 7.6 Testing Assumption 3: Are the Errors Independent?; 7.7 Testing Assumption 4: Are the Errors Normal? 7.8 Distribution of the Residuals7.9 Linear Algebra for Residuals (Optional); Exercises; 8. LINEAR MODELS: TWO INDEPENDENT VARIABLES; 8.1 Calculating Parameters; 8.2 Analysis of Variance; 8.3 The Effects of Independent Variables; 8.4 Inference for the Bivariate Linear Model; 8.5 Diagnostics for the Bivariate Linear Model; 8.6 Linear Algebra: Bivariate Linear Model (Optional); Exercises; 9. LINEAR MODELS: SEVERAL INDEPENDENT VARIABLES; 9.1 A Multivariate Example; 9.2 Analysis of Variance; 9.3 Inference for the Multivariate Linear Model; 9.4 Selecting Predictors 9.5 Diagnostics for the Multivariate Model |
| Record Nr. | UNINA-9910143571903321 |
Janke Steven J. <1947->
|
||
| Hoboken, NJ, : Wiley, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical structures for computer graphics / / Steven J. Janke
| Mathematical structures for computer graphics / / Steven J. Janke |
| Autore | Janke Steven J. <1947-> |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2015 |
| Descrizione fisica | 1 online resource (889 p.) |
| Disciplina | 006.601/51 |
| Soggetto topico |
Computer graphics - Mathematics
Three-dimensional imaging - Mathematics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-118-71198-X
1-118-71212-9 |
| Classificazione | COM012040 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Machine generated contents note: Preface iii 1 Basics 1 1.1 Graphics Pipeline 2 1.2 Mathematical Descriptions 5 1.3 Position 6 1.4 Distance 9 1.5 Complements and Details 13 1.6 Exercises 17 2 Vector Algebra 21 2.1 Basic Vector Characteristics 22 2.2 Two Important Products 31 2.3 Complements and Details 42 2.4 Exercises 46 3 Vector Geometry 49 3.1 Lines & Planes 49 3.2 Distances 55 3.3 Angles 63 3.4 Intersections 65 3.5 Additional Key Applications 73 3.6 Homogeneous Coordinates 86 3.7 Complements and Details 90 3.8 Exercises 94 4 Transformations 99 4.1 Types of Transformations 100 4.2 Linear Transformations 101 4.3 Three dimensions 113 4.4 Affine Transformations 123 4.5 Complements and Details 134 4.6 Exercises 145 5 Orientation 149 5.1 Cartesian Coordinate Systems 151 5.2 Cameras 159 5.3 Other Coordinate Systems 182 5.4 Complements and Details 190 5.5 Exercises 193 6 Polygons & Polyhedra 197 6.1 Triangles 197 6.2 Polygons 213 6.3 Polyhedra 230 6.4 Complements and Details 245 6.5 Exercises 250 7 Curves & Surfaces 255 7.1 Curve Descriptions 256 7.2 Bezier Curves 268 7.3 B-Splines 278 7.4 NURBS 295 7.5 Surfaces 300 7.6 Complements and Details 311 7.7 Exercises 316 8 Visibility 321 8.1 Viewing 321 8.2 Perspective Transformation 323 8.3 Hidden Surfaces 333 8.4 Ray Tracing 344 8.5 Complements and Details 351 8.6 Exercises 356 9 Lighting 359 9.1 Color Coordinates 359 9.2 Elementary Lighting Models 364 9.3 Global Illumination 384 9.4 Textures 391 9.5 Complements and Details 403 9.6 Exercises 408 10 Other Paradigms 411 10.1 Pixels 412 10.2 Noise 421 10.3 L-Systems 435 10.4 Exercises 443 A Geometry & Trigonometry 447 A.1 Triangles 447 A.2 Angles 449 A.3 Trigonometric Functions 450 B Linear Algebra 455 B.1 Systems of Linear Equations 455 B.2 Matrix Properties 458 B.3 Vector Spaces 460 . |
| Record Nr. | UNINA-9910460277003321 |
|
Janke Steven J. <1947->
|
||
| Hoboken, New Jersey : , : Wiley, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical structures for computer graphics / / Steven J. Janke
| Mathematical structures for computer graphics / / Steven J. Janke |
| Autore | Janke Steven J. <1947-> |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2015 |
| Descrizione fisica | 1 online resource (xv, 392 pages) : illustrations |
| Disciplina | 006.601/51 |
| Soggetto topico |
Computer graphics - Mathematics
Three-dimensional imaging - Mathematics |
| ISBN |
1-118-71212-9
1-118-71198-X |
| Classificazione |
007.642
006.601/51 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface iii -- 1 Basics -- 1 1.1 Graphics Pipeline -- 2 1.2 Mathematical Descriptions -- 5 1.3 Position -- 6 1.4 Distance -- 9 1.5 Complements and Detail -- 13 1.6 Exercises -- 17 2 Vector Algebra -- 21 2.1 Basic Vector Characteristics -- 22 2.2 Two Important Products -- 31 2.3 Complements and Details -- 42 2.4 Exercises -- 46 3 Vector Geometry -- 49 3.1 Lines & Planes -- 49 3.2 Distances -- 55 3.3 Angles -- 63 3.4 Intersections -- 65 3.5 Additional Key Applications -- 73 3.6 Homogeneous Coordinates -- 86 3.7 Complements and Details -- 90 3.8 Exercises -- 94 4 Transformations -- 99 4.1 Types of Transformations -- 100 4.2 Linear Transformations -- 101 4.3 Three dimensions -- 113 4.4 Affine Transformations -- 123 4.5 Complements and Details -- 134 4.6 Exercises -- 145 5 Orientation -- 149 5.1 Cartesian Coordinate Systems -- 151 5.2 Cameras -- 159 5.3 Other Coordinate Systems -- 182 5.4 Complements and Details -- 190 5.5 Exercises -- 193 6 Polygons & Polyhedra -- 197 6.1 Triangles -- 197 6.2 Polygons -- 213 6.3 Polyhedra -- 230 6.4 Complements and Details -- 245 6.5 Exercises -- 250 7 Curves & Surfaces -- 255 7.1 Curve Descriptions -- 256 7.2 Bezier Curves -- 268 7.3 B-Splines -- 278 7.4 NURBS -- 295 7.5 Surfaces -- 300 7.6 Complements and Details -- 311 7.7 Exercises -- 316 8 Visibility -- 321 8.1 Viewing -- 321 8.2 Perspective Transformation -- 323 8.3 Hidden Surfaces -- 333 8.4 Ray Tracing -- 344 8.5 Complements and Details -- 351 8.6 Exercises -- 356 9 Lighting -- 359 9.1 Color Coordinates -- 359 9.2 Elementary Lighting Models -- 364 9.3 Global Illumination -- 384 9.4 Textures -- 391 9.5 Complements and Details -- 403 9.6 Exercises -- 408 10 Other Paradigms -- 411 10.1 Pixels -- 412 10.2 Noise -- 421 10.3 L-Systems -- 435 10.4 Exercises -- 443 A Geometry & Trigonometry -- 447 A.1 Triangles -- 447 A.2 Angles -- 449 A.3 Trigonometric Functions -- 450 B Linear Algebra -- 455 B.1 Systems of Linear Equations -- 455 B.2 Matrix Properties -- 458 B.3 Vector Spaces 460. |
| Record Nr. | UNINA-9910796078103321 |
|
Janke Steven J. <1947->
|
||
| Hoboken, New Jersey : , : Wiley, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical structures for computer graphics / / Steven J. Janke
| Mathematical structures for computer graphics / / Steven J. Janke |
| Autore | Janke Steven J. <1947-> |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2015 |
| Descrizione fisica | 1 online resource (xv, 392 pages) : illustrations |
| Disciplina | 006.601/51 |
| Soggetto topico |
Computer graphics - Mathematics
Three-dimensional imaging - Mathematics |
| ISBN |
1-118-71212-9
1-118-71198-X |
| Classificazione |
007.642
006.601/51 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface iii -- 1 Basics -- 1 1.1 Graphics Pipeline -- 2 1.2 Mathematical Descriptions -- 5 1.3 Position -- 6 1.4 Distance -- 9 1.5 Complements and Detail -- 13 1.6 Exercises -- 17 2 Vector Algebra -- 21 2.1 Basic Vector Characteristics -- 22 2.2 Two Important Products -- 31 2.3 Complements and Details -- 42 2.4 Exercises -- 46 3 Vector Geometry -- 49 3.1 Lines & Planes -- 49 3.2 Distances -- 55 3.3 Angles -- 63 3.4 Intersections -- 65 3.5 Additional Key Applications -- 73 3.6 Homogeneous Coordinates -- 86 3.7 Complements and Details -- 90 3.8 Exercises -- 94 4 Transformations -- 99 4.1 Types of Transformations -- 100 4.2 Linear Transformations -- 101 4.3 Three dimensions -- 113 4.4 Affine Transformations -- 123 4.5 Complements and Details -- 134 4.6 Exercises -- 145 5 Orientation -- 149 5.1 Cartesian Coordinate Systems -- 151 5.2 Cameras -- 159 5.3 Other Coordinate Systems -- 182 5.4 Complements and Details -- 190 5.5 Exercises -- 193 6 Polygons & Polyhedra -- 197 6.1 Triangles -- 197 6.2 Polygons -- 213 6.3 Polyhedra -- 230 6.4 Complements and Details -- 245 6.5 Exercises -- 250 7 Curves & Surfaces -- 255 7.1 Curve Descriptions -- 256 7.2 Bezier Curves -- 268 7.3 B-Splines -- 278 7.4 NURBS -- 295 7.5 Surfaces -- 300 7.6 Complements and Details -- 311 7.7 Exercises -- 316 8 Visibility -- 321 8.1 Viewing -- 321 8.2 Perspective Transformation -- 323 8.3 Hidden Surfaces -- 333 8.4 Ray Tracing -- 344 8.5 Complements and Details -- 351 8.6 Exercises -- 356 9 Lighting -- 359 9.1 Color Coordinates -- 359 9.2 Elementary Lighting Models -- 364 9.3 Global Illumination -- 384 9.4 Textures -- 391 9.5 Complements and Details -- 403 9.6 Exercises -- 408 10 Other Paradigms -- 411 10.1 Pixels -- 412 10.2 Noise -- 421 10.3 L-Systems -- 435 10.4 Exercises -- 443 A Geometry & Trigonometry -- 447 A.1 Triangles -- 447 A.2 Angles -- 449 A.3 Trigonometric Functions -- 450 B Linear Algebra -- 455 B.1 Systems of Linear Equations -- 455 B.2 Matrix Properties -- 458 B.3 Vector Spaces 460. |
| Record Nr. | UNINA-9910822457303321 |
|
Janke Steven J. <1947->
|
||
| Hoboken, New Jersey : , : Wiley, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||