PPT-Analysis of Variance -ANOVA

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 Oneway ANOVA One IV and one DV. 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?. 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?. 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?. 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. (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. Analysis of Variance. Let’s say we conduct this experiment: effects of alcohol on memory. Basic Design. Grouping variable . (IV, manipulation) with . 2 or more levels. Continuous dependent/criterion variable. Andrea . Banino. & Punit . Shah . Samples . vs. Populations . Descriptive . vs. Inferential. William Sealy . Gosset. (‘Student’). Distributions, probabilities and P-values. Assumptions of t-tests. 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”).. 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?. . In this Lecture we study whether changes . in the independent variables cause changes in the mean . response and we analyze . the data using a method known as analysis . of variance . 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. 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.. Gage R&R Estimating measurement components Gage capability and acceptability measures Prof. Tom Kuczek, Purdue Univ. 1 Terms and Definitions • Repeatability refers to the measurement variation obtained when one person repeatedly measures the same item with the same gage. 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..