Applied Statistics and Probability for Engineers, 6th Edition

Design and Analysis of Single-Factor Experiments: The Analysis of Variance

Chapter Outline

13-1 Designing Engineering Experiments

13-2 Completely Randomized Single-Factor Experiment

13-2.1 Example: Tensile Strength

13-2.2 Analysis of Variance

13-2.3 Multiple Comparisons Following the ANOVA

13-2.4 Residual Analysis and Model Checking

13-2.5 Determining Sample Size

13-3 The Random-Effects Model

13-3.1 Fixed Versus Random Factors

13-3.2 ANOVA and Variance Components

13-4 Randomized Complete Block Design

13-4.1 Design and Statistical Analysis

13-4.2 Multiple Comparisons

13-4.3 Residual Analysis and Model Checking

Experiments are a natural part of the engineering and scientific decision-making process. Suppose, for example, that a civil engineer is investigating the effects of different curing methods on the mean compressive strength of concrete. The experiment would consist of making up several test specimens of concrete using each of the proposed curing methods and then testing the compressive strength of each specimen. The data from this experiment could be used to determine which curing method should be used to provide maximum mean compressive strength.

If there are only two curing methods of interest, this experiment could be designed and analyzed using the statistical hypothesis ...