| |
| |
| |
| An Introduction to the Design of Experiments | |
| |
| |
| |
| Introduction | |
| |
| |
| |
| The Use of Designed Experiments in Process Studies | |
| |
| |
| |
| Fundamental Aspects of Designed Experiments | |
| |
| |
| |
| Documentation Form for a Designed Experiment | |
| |
| |
| |
| Summary | |
| |
| |
| References | |
| |
| |
| Exercises | |
| |
| |
| |
| Investigating a Single Factor: Completely Randomized Experiments | |
| |
| |
| |
| Introduction and Graphical Analysis of Sample Data | |
| |
| |
| |
| The Analysis of Variance Approach: Partitioning the Total Variation in the Data | |
| |
| |
| |
| Analysis of Variance for a Fixed Effects Model | |
| |
| |
| |
| Analysis of Variance for a Random Effects Model | |
| |
| |
| |
| Methods for Multiple Comparisons | |
| |
| |
| |
| Tukey's Method for Multiple Comparisons | |
| |
| |
| |
| Scheffeacute;'s Method for Multiple Comparisons | |
| |
| |
| |
| Potential Consequences of Violating Analysis of Variance Assumptions | |
| |
| |
| |
| The Use of P-values in Testing Statistical Hypotheses | |
| |
| |
| |
| Summary | |
| |
| |
| References | |
| |
| |
| Exercises | |
| |
| |
| |
| Introduction to and Computer Instructions for Using Minitab, Release 15 | |
| |
| |
| |
| Investigating a Single Factor: Randomized Complete and Incomplete Block and Latin Square Designs | |
| |
| |
| |
| Introduction | |
| |
| |
| |
| Analysis of Variance for Blocked Data: Partitioning the Total Variation in the Data | |
| |
| |
| |
| Assumptions and Validity of Analysis of Variance for Randomized Complete Block Designs | |
| |
| |
| |
| Tukey and Scheffeacute;'s Procedures for a Randomized Complete Block Design | |
| |
| |
| |
| Balanced Incomplete Block Designs | |
| |
| |
| |
| Latin Square Designs | |
| |
| |
| |
| Analysis of Variance for Latin Square Designs: Partitioning the Total Variation in the Data | |
| |
| |
| |
| Assumptions and Validity of the Analysis of Variance for Latin Square Designs | |
| |
| |
| |
| Summary | |
| |
| |
| References | |
| |
| |
| Exercises | |
| |
| |
| |
| Minitab Instructions | |
| |
| |
| |
| Factorial Experiments: Completely Randomized Designs | |
| |
| |
| |
| Introduction | |
| |
| |
| |
| Inference Objectives in Factorial Experiments: Main Effects and Interaction Effects | |
| |
| |
| |
| Complete Randomization in Factorial Experiments | |
| |
| |
| |
| Graphical Analysis | |
| |
| |
| |
| Analysis of Variance Procedure: Partitioning the Total Sum of Squares | |
| |
| |
| |
| No Replication in Factorial Experiments | |
| |
| |
| |
| Fixed, Random, and Mixed Models: Expected Mean Squares | |