Design and analysis of experiments with R. (2015)

• Record Type: Book
• Further Information: Note: John Lawson.
• Authors: Lawson, John, 1947-
• Contents: Introduction; Statistics and Data Collection; Beginnings of Statistically Planned Experiments; Definitions and Preliminaries; Purposes of Experimental Design; Types of Experimental Designs; Planning Experiments; Performing the Experiments; Use of R Software Completely Randomized Designs with One Factor; Introduction; Replication and Randomization; A Historical Example; Linear Model for Completely Randomized Design (CRD); Verifying Assumptions of the Linear Model; Analysis Strategies When Assumptions Are Violated; Determining the Number of Replicates; Comparison of Treatments after the F -Test Factorial Designs; Introduction; Classical One at a Time versus Factorial Plans; Interpreting Interactions; Creating a Two-Factor Factorial Plan in R; Analysis of a Two-Factor Factorial in R; Factorial Designs with Multiple Factors—Completely Randomized Factorial Design (CRFD); Two-Level Factorials; Verifying Assumptions of the Model Randomized Block Designs ; Introduction; Creating a Randomized Complete Block (RCB) Design in R; Model for RCB; An Example of a RCB; Determining the Number of Blocks; Factorial Designs in Blocks; Generalized Complete Block Design; Two Block Factors Latin Square Design (LSD) Designs to Study Variances; Introduction; Random Sampling Experiments (RSE); One-Factor Sampling Designs; Estimating Variance Components; Two-Factor Sampling Designs—Factorial RSE; Nested SE; Staggered Nested SE; Designs with Fixed and Random Factors; Graphical Methods to Check Model Assumptions Fractional Factorial Designs; Introduction to Completely Randomized Fractional Factorial (CRFF); Half Fractions of 2k Designs; Quarter and Higher Fractions of 2k Designs; Criteria for Choosing Generators for 2k-p Designs; Augmenting Fractional Factorials; Plackett–Burman (PB) Screening Designs; Mixed-Level Fractional Factorials Orthogonal Array (OA); Definitive Screening Designs Incomplete and Confounded Block Designs ; Introduction; Balanced Incomplete Block (BIB) Designs; Analysis of Incomplete Block Designs; Partially Balanced Incomplete Block (PBIB) Designs—Balanced Treatment Incomplete Block (BTIB); Row Column Designs; Confounded 2k and 2k-p Designs; Confounding 3 Level and p Level Factorial Designs; Blocking Mixed-Level Factorials and OAs; Partially CBF Split-Plot Designs; Introduction; Split-Plot Experiments with CRD in Whole Plots (CRSP); RCB in Whole Plots (RBSP); Analysis Unreplicated 2k Split-Plot Designs ; 2k-p Fractional Factorials in Split Plots (FFSP); Sample Size and Power Issues for Split-Plot Designs Crossover and Repeated Measures Designs ; Introduction; Crossover Designs (COD); Simple AB, BA Crossover Designs for Two Treatments; Crossover Designs for Multiple Treatments; Repeated Measures Designs; Univariate Analysis of Repeated Measures Design Response Surface Designs; Introduction; Fundamentals of Response Surface Methodology; Standard Designs for Second-Order Models; Creating Standard Response Surface Designs in R; Non-Standard Response Surface Designs; Fitting the Response Surface Model with R; Determining Optimum Operating Conditions; Blocked Response Surface (BRS) Designs Response Surface Split-Plot (RSSP) Designs Mixture Experiments; Introduction; Models and Designs for Mixture Experiments; Creating Mixture Designs in R; Analysis of Mixture Experiment; Constrained Mixture Experiments; Blocking Mixture Experiments; Mixture Experiments with Process Variables; Mixture Experiments in Split-Plot Arrangements Robust Parameter Design Experiments; Introduction; Noise Sources of Functional Variation; Product Array Parameter Design Experiments; Analysis of Product Array Experiments; Single Array Parameter Design Experiments; Joint Modeling of Mean and Dispersion Effects Experimental Strategies for Increasing Knowledge ; Introduction; Sequential Experimentation; One-Step Screening and Optimization; An Example of Sequential Experimentation; Evolutionary Operation; Concluding Remarks Appendix: Brief Introduction to R Answers to Selected Exercises Bibliography Index A Review and Exercises appear at the end of each chapter.
• Edition: 1st
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2015
• Extent: 1 online resource
• Subjects: 001.42202855133; Sampling (Statistics); Statistics -- Data processing; R (Computer program language)
• Languages: English
• ISBNs: 9781498728485; 9781439868140
• Related ISBNs: 9781439868133
• Notes: Note: Includes bibliographical references and index.; Note: Description based on CIP data; item not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.