Foreword |
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vii | |
Preface |
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ix | |
Authors |
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xi | |
Conversion Factors for SI and Non-SI Units |
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xiii | |
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1 | (6) |
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1 | (1) |
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1.2 Generalized Linear Mixed Models |
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2 | (1) |
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1.3 Historical Development |
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3 | (2) |
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1.4 Objectives of this Book |
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5 | (2) |
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7 | (28) |
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7 | (1) |
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2.2 Distributions used in Generalized Linear Modeling |
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7 | (3) |
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2.3 Descriptions of the Distributions |
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10 | (5) |
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2.4 Likelihood Based Approach to Estimation |
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15 | (3) |
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2.5 Variations on Maximum Likelihood Estimation |
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18 | (1) |
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2.6 Likelihood Based Approach to Hypothesis Testing |
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19 | (3) |
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22 | (2) |
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2.8 Fixed, Random, and Mixed Models |
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24 | (1) |
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2.9 The Design-Analysis of Variance-Generalized Linear Mixed Model Connection |
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25 | (5) |
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2.10 Conditional versus Marginal Models |
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30 | (1) |
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30 | (5) |
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Chapter 3 Generalized Linear Models |
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35 | (24) |
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35 | (2) |
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3.2 Inference in Generalized Linear Models |
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37 | (9) |
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3.3 Diognostics and Model Fit |
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46 | (6) |
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3.4 Generalized Linear Modeling versus Transformations |
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52 | (7) |
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Chapter 4 Linear Mixed Models |
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59 | (50) |
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59 | (1) |
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4.2 Estimation and Inference in Linear Mixed Models |
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60 | (1) |
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4.3 Conditional and Marginal Models |
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61 | (6) |
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4.4 Split Plot Experiments |
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67 | (10) |
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4.5 Experiments Involving Repeated Measures |
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77 | (1) |
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4.6 Selection of a Covariance Model |
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78 | (2) |
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4.7 A Repeated Measures Example |
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80 | (8) |
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4.8 Analysis of Covariance |
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88 | (11) |
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4.9 Best Linear Unbiased Prediction |
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99 | (10) |
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Chapter 5 Generalized Linear Mixed Models |
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109 | (90) |
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109 | (1) |
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5.2 Estimation and Inference in Generalized Linear Mixed Models |
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110 | (1) |
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5.3 Conditional and Marginal Models |
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111 | (14) |
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5.4 Three Simple Examples |
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125 | (24) |
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5.5 Over-Dispersion in Generalized Linear Mixed Models |
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149 | (2) |
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5.6 Over-Dispersion from an Incorrectly Specified Distribution |
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151 | (9) |
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5.7 Over-Dispersion from an Incorrect Linear Predictor |
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160 | (7) |
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5.8 Experiments Involving Repeated Measures |
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167 | (14) |
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5.9 Inference Issues for Repeated Measures Generalized Linear Mixed Models |
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181 | (3) |
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184 | (15) |
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Chapter 6 More Complex Examples |
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199 | (38) |
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199 | (1) |
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6.2 Repeated Measures in Time and Space |
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199 | (11) |
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6.3 Analysis of a Precision Agriculture Experiment |
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210 | (27) |
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Chapter 7 Designing Experiments |
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237 | (34) |
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237 | (1) |
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238 | (1) |
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7.3 Power and Precision Analyses for Generalized Linear Mixed Models |
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239 | (2) |
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7.4 Methods of Determining Power and Precision |
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241 | (2) |
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7.5 Implementation of the Probability Distribution Method |
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243 | (7) |
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7.6 A Factorial Experiment with Different Design Options |
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250 | (5) |
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7.7 A Multi-location Experiment with a Binomial Response Variable |
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255 | (7) |
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7.8 A Split Plot Revisited with a Count as the Response Variable |
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262 | (6) |
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7.9 Summary and Conclusions |
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268 | (3) |
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Chapter 8 Parting Thoughts and Future Directions |
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271 | (6) |
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8.1 The Old Standard Statistical Practice |
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271 | (1) |
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272 | (2) |
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8.3 The Challenge to Adapt |
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274 | (3) |
Index |
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277 | |