Chapter_11

# Chapter_11 - Chapter 11 Analysis of Variance Click to edit...

This preview shows pages 1–9. Sign up to view the full content.

Click to edit Master subtitle style 1Chap 11-1 Chapter 11 Analysis of Variance

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2Chap 11-2 Analysis of Variance (ANOVA) F-test One-Way ANOVA Randomized Block Design
3Chap 11-3 General ANOVA Setting n Investigator controls one or more factors of interest n Each factor contains two or more levels n Levels can be numerical or categorical n Different levels produce different groups n Think of each group as a sample from a different population n Observe effects on the dependent variable n Are the groups the same? n Experimental design: the plan used to collect the data

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
4Chap 11-4 Completely Randomized Design n Experimental units (subjects) are assigned randomly to groups n Subjects are assumed homogeneous n Only one factor or independent variable n With two or more levels n Analyzed by one-factor analysis of variance (ANOVA)
5Chap 11-5 One-Way Analysis of Variance n Evaluate the difference among the means of three or more groups Examples: Accident rates for 1st, 2nd, and 3rd shift Expected mileage for five brands of tires n Assumptions n Populations are normally distributed n Populations have equal variances n Samples are randomly and independently

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
6Chap 11-6 Hypotheses of One-Way ANOVA n n All population means are equal n i.e., no factor effect (no variation in means among groups) n n At least one population mean is different n i.e., there is a factor effect n Does not mean that all population means are different (some pairs may be the same) c 3 2 1 0 μ μ μ μ : H = = = = same the are means population the of all Not : H 1
7Chap 11-7 One-Way ANOVA The Null Hypothesis is True All Means are the same: (No Factor Effect) c 3 2 1 0 μ μ μ μ : H = = = = same the are μ all Not : H j 1 3 2 1 μ μ μ = =

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
8Chap 11-8 One-Way ANOVA
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern