PPT-ANOVA:

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. Andrea . Banino. & Punit . Shah . Samples . vs. Populations . Descriptive . vs. Inferential. William Sealy . Gosset. (‘Student’). Distributions, probabilities and P-values. Assumptions of t-tests. 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. The . Univariate. Approach. An ANOVA Factor Can Be. Independent Samples. Between Subjects. Correlated Samples. Within Subjects, Repeated Measures. Randomized Blocks, Split Plot. Matched Pairs if . k. Cohen’s . d. and Omega Squared. Jason R. Finley. Mon April 1. st. , 02013. http://. www.jasonfinley.com. /tools. ω. 2. DEAL WITH IT. Effect Sizes to use. Comparison of means . (. t. test):. Cohen’s . Unweighted. MEANS ANOVA. Data Set “. Int. ”. Notice that there is an interaction here.. Effect of gender at School 1 is 155-110 = 45.. Effect of gender at School 2 is 135-120 = 15.. Weighted means. Methods for Dummies. Isobel Weinberg & Alexandra . Westley. Student’s t-test. Are these two data sets significantly different from one another? . William Sealy Gossett. Are these two distributions different?. Hao. Chai. Dereck. . Shen. Skull dataset. 138 skulls from 10 regions. Thickness was measured at 219 locations on each skull. Other variables in dataset:. Age of person (at time of death). Sex of person. ANOVA. . (GLM 5). Chapter . 14. Mixed ANOVA. Mixed. :. 1 or more Independent variable uses the same . participants (repeated measures). 1 or more Independent variable uses different . participants (between subjects). . 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?. How does it work? . What is an F-ratio?. What is a grand mean?. What are the degrees of freedom for the F-ratio?. k-1, N-k. Post hoc tests. F-test in ANOVA is the so-called . omnibus test. . It tests the means globally. It says nothing about which particular means are different.. Data . Set. Popcorn Oil amt. Batch Yield. plain . little. large 8.2. gourmet little large 8.6. plain . . lots large 10.4. gourmet lots large 9.2. 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. 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:.