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Advanced Statistical Models with MATLAB. Design of Experiments, Neural Networks, and Global Linear Models

Advanced Statistical Models with MATLAB. Design of Experiments, Neural Networks, and Global Linear Models
Author: Parker K.
Publisher: Createspace Independent Publishing Platform
Total Pages: 460
Release: 2016-10-21
Genre:
ISBN: 9781539660064

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This book develops tools for design of experiment, statistical modeling, neural networks, Global Linear Models and non linear models. The Model Browser is a flexible, powerful, intuitive graphical interface for building and evaluating experimental designs and statistical models:* Design of experiment tools can drastically reduce expensive data collection time.* You can create and evaluate optimal, space filling, and classical designs, and constraints can be designed or imported.* Hierarchical statistical models can capture the nature of variability inherent in engine data, accounting for variation both within and between tests.* The Model Browser has powerful, flexible tools for building, comparing, and evaluating statistical models and experimental designs.* There is an extensive library of prebuilt model types and the capability to build user-defined models.* You can export models to CAGE or to MATLAB, or Simulink software.


Statistical Models for Design of Experiments Using Matlab

Statistical Models for Design of Experiments Using Matlab
Author: Perez C.
Publisher: Createspace Independent Publishing Platform
Total Pages: 244
Release: 2017-08-08
Genre:
ISBN: 9781974326297

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Matlab incorporates a wide variety of statistical models for the design of experiments. A one-stage model fits a model to all the data in one process. If your data inputs do not have a hierarchical structure, and all model inputs are global at the same level, then fit a one-stage model. If your data has local and global inputs, where some variables are fixed while varying others, then choose a two-stage or point-by-point model instead. A two-stage model fits a model to data with a hierarchical structure. If your data has local and global inputs, where some variables are fixed while varying others, then choose a two-stage model. For example, data collected in the form of spark sweeps is suited to a two-stage model. Each test sweeps a range of spark angles, with fixed engine speed, load, and air/fuel ratio within each test. If your data inputs do not have a hierarchical structure, and all model inputs are global, at the same level, then fit a one-stage model instead. For two-stage models, only specify a single local variable. If you want more local inputs, use a one-stage or point-by-point model instead. Point-by-point modeling allows you to build a model at each operating point of an engine with the necessary accuracy to produce an optimal calibration. You often need point-bypoint models for multiple injection diesel engines and gasoline direct-injection engines. With point-by-point models, no predictions are available between operating points. If you need predictions between operating points, use a one-stage model instead. Additionally, MATLAB allows you to work with the following topics: -Apps that support the entire workflow: designing experiments, fitting statistical models to engine data, and producing optimal calibrations -Design-of-Experiments methodology for reducing testing time through classical, space-filling, and optimal design techniques -Accurate engine modeling with data fitting techniques including Gaussian process, radial basis function, and linear regression modeling -Boundary modeling to keep optimization results within the engine operating envelope Generation of lookup tables from optimizations over drive cycles, models, or test data -Export of performance-optimized models to Simulink for use in simulation and HIL testing This book develops the following topics: - "Setting Up Models" - "One-Stage Model" - "Two-Stage Model" - "Point-by-Point Model?" - "Polynomials and Polynomial Splines" - "Linear Modls" - "Growth Models" - "User-Defined Models" - "Transient Models" - "Covariance Modeling" - "Correlation Models" - "Local and Bundary Models" - "Global Models" - "Polynomials and Hybrid Splines" - "Gaussian Process Model" - "Radial Basis Function" - "Hybrid and Interpolating RBF" - "Multiple Linear Models" - "Neural Network Models" - "Assess and Explore Models" - "Selecting Data and Models to Fit" - "Projects and Test Plans" - "Desing Editor and Design Constraints" - "Creating a Space-Filling Design" - "Creating an Optimal Design" - "Creating a Classical Design" - "Manipulate Designs" - "Saving, Exporting, and Importing Designs" - "Fit Models to Collected Design Data - "Data Loading Application Programming Interface"


Advanced Statistical Modeling and Design of Experiments Using Matlab

Advanced Statistical Modeling and Design of Experiments Using Matlab
Author: P. Braselton
Publisher: Createspace Independent Publishing Platform
Total Pages: 396
Release: 2017-05-29
Genre:
ISBN: 9781547002313

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The MATLAB software include eficient tools for develop the design of experiments. The Model-Based Calibration Toolbox product contains tools for design of experiment, statistical modeling, and calibration of complex systems. The toolbox has two main apps: Model Browser for design of experiment and statistical modeling and CAGE Browser for analytical calibration. The Model Browser is a flexible, powerful, intuitive graphical interface for building and evaluating experimental designs and statistical models. Design of experiment tools can drastically reduce expensive data collection time. With MATLAB you can create and evaluate optimal, space filling, and classical designs, and constraints can be designed or imported. Hierarchical statistical models can capture the nature of variability inherent in engine data, accounting for variation both within and between tests. The Model Browser has powerful, flexible tools for building, comparing, and evaluating statistical models and experimental designs. There is an extensive library of prebuilt model types and the capability to build userdefined models.


Statistics With Matlab

Statistics With Matlab
Author: L. Marvin
Publisher:
Total Pages: 198
Release: 2017-11-03
Genre:
ISBN: 9781979385602

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You can use Regression Learner to train regression models to predict data. Using this app, you can explore your data, select features, specify validation schemes, train models, and assess results. You can perform automated training to search for the best regression model type, including linear regression models, regression trees, Gaussian process regression models, Support Vector Machines, and ensembles of regression trees. Perform supervised machine learning by supplying a known set of observations of input data (predictors) and known responses. Use the observations to train a model that generates predicted responses for new input data. To use the model with new data, or to learn about programmatic regression, you can export the model to the workspace or generate MATLAB code to recreate the trained model.Regression Learner includes Regression Trees. To predict a response of a regression tree, follow the tree from the root (beginning) node down to a leaf node. The leaf node contains the value of the response. Statistics and Machine Learning Toolbox trees are binary. Each step in a prediction involves checking the value of one predictor variable. For example, here is a simple regression tree. Regression trees are easy to interpret, fast for fitting and prediction, and low on memory usage. Try to grow smaller trees with fewer larger leaves to prevent overfitting. Control the leaf size with the Minimum leaf size setting. You can train ensembles of regression trees in Regression Learner. Ensemble models combine results from many weak learners into one high-quality ensemble model.You can train regression support vector machines (SVMs) in Regression Learner. Linear SVMs are easy to interpret, but can have low predictive accuracy. Nonlinear SVMs are more difficult to interpret, but can be more accurate. Support vector machine (SVM) analysis is a popular machine learning tool for classification and regression, first identified by Vladimir Vapnik and his colleagues. SVM regression is considered a nonparametric technique because it relies on kernel functions.You can train Gaussian process regression (GPR) models in Regression Learner. Neural Network Toolbox provides algorithms, pretrained models, and apps to create,train, visualize, and simulate both shallow and deep neural networks. You can perform classification, regression, clustering, dimensionality reduction, time-series forecasting,and dynamic system modeling and control.This book develops the Regresion Learner techniques (linear regression models, regression trees, Gaussian process regression models, Support Vector Machines, and ensembles of regression trees), Neural Networks Regression and Generalized Linear Models (GLM).The most important content is the following:* Train Regression Models in Regression Learner App* Automated Regression Model Training* Manual Regression Model Training* Parallel Regression Model Training* Compare and Improve Regression Models* Select Data and Validation for Regression Problem* Linear Regression Models* Regression Trees* Support Vector Machines* Gaussian Process Regression Models* Ensembles of Trees* Feature Selection* Feature Transformation* Assess Model Performance* Check Performance in History List* Evaluate Model Using Residuals Plot* Export Regression Model to Predict New Data* Train Regression Trees Using Regression Learner App* Mathematical Formulation of SVM Regression* Solving the SVM Regression Optimization Problem * Fit Regression Models with a Neural Network* Multinomial Models for Nominal Responses* Multinomial Models for Ordinal Responses* Hierarchical Multinomial Models* Generalized Linear Models* Lasso Regularization of Generalized Linear Models* Regularize Poisson Regression* Regularize Logistic Regression* Regularize Wide Data in Parallel* Generalized Linear Mixed-Effects Models* Fit a Generalized Linear Mixed-Effects Model


A First Course in Linear Models and Design of Experiments

A First Course in Linear Models and Design of Experiments
Author: N. R. Mohan Madhyastha
Publisher: Springer Nature
Total Pages: 230
Release: 2020-11-13
Genre: Mathematics
ISBN: 9811586594

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This textbook presents the basic concepts of linear models, design and analysis of experiments. With the rigorous treatment of topics and provision of detailed proofs, this book aims at bridging the gap between basic and advanced topics of the subject. Initial chapters of the book explain linear estimation in linear models and testing of linear hypotheses, and the later chapters apply this theory to the analysis of specific models in designing statistical experiments. The book includes topics on the basic theory of linear models covering estimability, criteria for estimability, Gauss–Markov theorem, confidence interval estimation, linear hypotheses and likelihood ratio tests, the general theory of analysis of general block designs, complete and incomplete block designs, general row column designs with Latin square design and Youden square design as particular cases, symmetric factorial experiments, missing plot technique, analyses of covariance models, split plot and split block designs. Every chapter has examples to illustrate the theoretical results and exercises complementing the topics discussed. R codes are provided at the end of every chapter for at least one illustrative example from the chapter enabling readers to write similar codes for other examples and exercise.


Applied Linear Statistical Models

Applied Linear Statistical Models
Author: John Neter
Publisher: Irwin Professional Publishing
Total Pages: 872
Release: 1974
Genre: Mathematics
ISBN:

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Some basic results in probability and statistics. Basic regression analysis. General regression and correlation analysis. Basic analysis of variance. Multifactor analysis of variance. Experimental designs.


Applied Linear Statistical Models with Student CD

Applied Linear Statistical Models with Student CD
Author: Michael Kutner
Publisher: McGraw-Hill/Irwin
Total Pages: 1396
Release: 2004-08-10
Genre: Business & Economics
ISBN: 9780073108742

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Applied Linear Statistical Models 5e is the long established leading authoritative text and reference on statistical modeling, analysis of variance, and the design of experiments. For students in most any discipline where statistical analysis or interpretation is used, ALSM serves as the standard work. The text proceeds through linear and nonlinear regression and modeling for the first half, and through ANOVA and Experimental Design in the second half. All topics are presented in a precise and clear style supported with solved examples, numbered formulae, graphic illustrations, and "Comments" to provide depth and statistical accuracy and precision. Applications used within the text and the hallmark problems, exercises, projects, and case studies are drawn from virtually all disciplines and fields providing motivation for students in virtually any college. The Fifth edition provides an increased use of computing and graphical analysis throughout, without sacrificing concepts or rigor. In general, the 5e uses larger data sets in examples and exercises, and the use of automated software without loss of understanding.


Applied Linear Statistical Models

Applied Linear Statistical Models
Author: Michael H. Kutner
Publisher: McGraw-Hill Education
Total Pages: 1396
Release: 2005
Genre: Analysis of variance
ISBN: 9780071122214

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Applied Linear Statistical Models 5e is the long established leading authoritative text and reference on statistical modeling. For students in most any discipline where statistical analysis or interpretation is used, ALSM serves as the standard work. The text includes brief introductory and review material, and then proceeds through regression and modeling for the first half, and through ANOVA and Experimental Design in the second half. All topics are presented in a precise and clear style supported with solved examples, numbered formulae, graphic illustrations, and "Notes" to provide depth and statistical accuracy and precision. Applications used within the text and the hallmark problems, exercises, and projects are drawn from virtually all disciplines and fields providing motivation for students in virtually any college. The Fifth edition provides an increased use of computing and graphical analysis throughout, without sacrificing concepts or rigor. In general, the 5e uses larger data sets in examples and exercises, and where methods can be automated within software without loss of understanding, it is so done.


A Survey of Statistical Design and Linear Models

A Survey of Statistical Design and Linear Models
Author: Jagdish Narain Srivastava
Publisher: North-Holland
Total Pages: 716
Release: 1975
Genre: Science
ISBN:

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This book comprises of papers presented at an International Symposium on Statistical Design and Linear Models, held in Colorado, 1973.