PPT-The Two-Factor ANOVA for Independent Groups

An extension of the OneFactor ANOVA experiment has more than one independent variable or factor For example suppose we were interested in how both caffeine and beer influence response times . AMS 572 Group 5. Outline. Jia. Chen: Introduction of repeated measures ANOVA. Chewei. Lu: One-way repeated measures . Wei Xi: Two-factor repeated measures. Tomoaki. Sakamoto : Three-factor repeated measures. NR 245. Austin Troy. Based primarily on material accessed from Garson, G. David 2010. . Univariate GLM, ANOVA, and ANCOVA. . Statnotes. : Topics in Multivariate Analysis.. http://faculty.chass.ncsu.edu/garson/PA765/statnote.htm. Analysis of Variation. Math 243 Lecture. R. Pruim. The basic ANOVA situation. Two variables: 1 Categorical, 1 Quantitative. Main Question: Do the (means of) the quantitative variables depend on which group (given by categorical variable) the individual is in?. . Chapter 10 - Analysis of Variance (ANOVA). . Introduction. 10.1 - Single-Factor ANOVA. 10.2 - Multiple Comparisons in ANOVA. 10.3 - More on Single-Factor ANOVA. Group. Samples. Group Means. Research Methods in Physical Activity. Research Methods in Physical Activity. Purpose and Protocol of the Statistical Test. The purpose of the statistical test is to evaluate the null hypothesis at a specific level of probability (e.g., p < .05). In other words, do the two levels of treatment differ significantly (p < .05) so that these differences are not attributable to a chance occurrence more than 5 times in 100?. Try Analysis of Variance (ANOVA). Part IV. Significantly Different:. Using Inferential Statistics. What you will learn in Chapter 13. What Analysis of Variance (ANOVA) is and when it is appropriate to use. At its lowest level it is essentially an extension of the logic of . t. -tests to those situations where we wish to . compare the means of three or more samples concurrently.. ANOVA. One-way ANOVA. One IV and one DV. ANOVA. . and non-parametric test. Overview. Measure of central tendency (summary statistics). Measure of variability . Hypothesis testing. ANOVA. Why study statistics. Need to understand and use data to make decisions.. ‘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 . Two-way 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 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.. 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.”.