PPT-Two-way ANOVA Factor Level Means Study

Twoway ANOVA Factor Level Means Study Cells defined b y combinations of t w o or more discrete f actors All o ws ef f ects to be decomposed into main ef f ects and inte r actions Model assumptions remain unchanged. Lecture #. 28. . Thursday. , . December 1, . 2016. Textbook: . 16.1. • Generalize the two-sample t-test to more than two samples.. • Explain how testing equality of means can be rephrased as a test of variance (“Analysis of variance”).. (a.k.a. Analysis of Variance). 1. Outline:. Testing for a difference. in means. Notation. Sums of squares. Mean. squares. The. F distribution. The. ANOVA table. Part II: multiple. comparisons. Worked example. Overview. This section mainly reviews some of the more difficult concepts from the readings. What are the defining features that differentiate an experiment from a non-experiment?. What are “factors” and “levels,” and how does this have implications for analyses?. 13. Section. Comparing Three or More Means (One-Way Analysis of Variance). 13.1. Objectives. Verify the requirements to perform a one-way ANOVA. Test a hypothesis regarding three or more means using one-way ANOVA. Understand the basic principles of ANOVA. Why it is done?. What it tells us?. Theory of one-way independent ANOVA. Following up an ANOVA. :. Planned contrasts/comparisons. Choosing contrasts. Coding contrasts. 1. Data on pain and factor levels. male C 12.4. female A 7.69. male C 14.0. female A 9.69. male C 11.6. female A 8.89. female A 6.94. female A 2.13. female A 7.26. female A 5.87. male B 12.9. female C 12.2. 19. Introduction. (slide 1 of 3). The procedure for analyzing the difference between more than two population means is commonly called . analysis of variance. , or . ANOVA. .. There are two typical situations where ANOVA is used:. The . Multivariate. Approach. One-Way. Cross-Species-Fostering. House mice onto house mice, prairie deer mice, or domestic Norway rats.. After weaning, tested in apparatus with access to tunnels scented like clean pine shavings, house mouse, deer mouse, or rat.. ‘People can be divided into two classes: . Those who go ahead and do something, . and those who sit still and inquire, . 'Why wasn't it done the other way?’’. – Oliver Wendell Holmes, American Physician, Writer, . Variance. Lecture . /slide deck produced by Saul Greenberg, University of Calgary, Canada. . Notice: some material in this deck is used from other sources without permission. Credit to the original source is given if it is known,. LM ANOVA 2. 2. Example -- Background. Bacteria -- effect . of temperature (10. o. C & 15. o. C) and relative humidity (20%, 40%, 60%, 80%) on growth rate (cells/d. ).. 120 . petri . dishes with a growth . ANOVA is comparison of means. Each possible value of a factor or combination of factor is a treatment.. The ANOVA is a powerful and common statistical procedure in the social sciences. It can handle a variety of situations.. Single-Factor Models. Independent Variable can be qualitative or quantitative. If Quantitative, we typically assume a linear, polynomial, or no “structural” relation. If Qualitative, we typically have no “structural” relation. Cohen Chapter 15. ANOVA. “The biggest job we have is to teach a newly hired employee how to . fail. intelligently. We have to train him to experiment over and over and to keep on trying and failing until he learns what will work.”.