Chapter 12 - Experimental design and analysis of variance. After mastering the material in this chapter, you will be able to: Explain the basic terminology and concepts of experimental design, compare several different population means by using a one-way analysis of variance, compare treatment effects and block effects by using a randomized block design. | Experimental Design and Analysis of Variance Chapter 12 Copyright © 2014 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin Experimental Design and Analysis of Variance Basic Concepts of Experimental Design One-Way Analysis of Variance The Randomized Block Design Two-Way Analysis of Variance 12- Basic Concepts of Experimental Design Up until now, we have considered only two ways of collecting and comparing data: Using independent random samples Using paired (or matched) samples Often data is collected as the result of an experiment To systematically study how one or more factors (variables) influence the variable that is being studied LO12-1: Explain the basic terminology and concepts of experimental design. 12- Experimental Design #2 In an experiment, there is strict control over the factors contributing to the experiment The values or levels of the factors are called treatments For example, in testing a medical . | Experimental Design and Analysis of Variance Chapter 12 Copyright © 2014 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin Experimental Design and Analysis of Variance Basic Concepts of Experimental Design One-Way Analysis of Variance The Randomized Block Design Two-Way Analysis of Variance 12- Basic Concepts of Experimental Design Up until now, we have considered only two ways of collecting and comparing data: Using independent random samples Using paired (or matched) samples Often data is collected as the result of an experiment To systematically study how one or more factors (variables) influence the variable that is being studied LO12-1: Explain the basic terminology and concepts of experimental design. 12- Experimental Design #2 In an experiment, there is strict control over the factors contributing to the experiment The values or levels of the factors are called treatments For example, in testing a medical drug, the experimenters decide which participants in the test get the drug and which ones get the placebo, instead of leaving the choice to the subjects The object is to compare and estimate the effects of different treatments on the response variable LO12-1 12- Experimental Design #3 The different treatments are assigned to objects (the test subjects) called experimental units When a treatment is applied to more than one experimental unit, the treatment is being “replicated” A designed experiment is an experiment where the analyst controls which treatments are used and how they are applied to the experimental units LO12-1 12- One-Way Analysis of Variance Want to study the effects of all p treatments on a response variable For each treatment, find the mean and standard deviation of all possible values of the response variable when using that treatment For treatment i, find treatment mean µi One-way analysis of variance estimates and compares the effects of the .
