PPT-2-Way Random Effects ANOVA

Gage Repeatability and Repproducibility Experiment for Measuring Drill Holes in Wood Parts Source MH C Li and A Al Refaie 2008 Improving Wooden Parts Quality by Adopting DMAIC Procedure . 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?. 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. Andrea . Banino. & Punit . Shah . Samples . vs. Populations . Descriptive . vs. Inferential. William Sealy . Gosset. (‘Student’). Distributions, probabilities and P-values. Assumptions of t-tests. 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). ANOVA. Multiple Comparisons. Pairwise Comparisons and . Familywise. Error. . . fw. is the . alpha familywise. , the conditional probability of making one or more Type I errors in a family of . UCL Linguistics workshop on mixed-effects modelling in R. 18-20 May 2016. Code at:. http://www.mypolyuweb.hk/~sjpolit/UCL_Rworkshop/. 2. Reminder: what random effects are. lmer. ( RT ~ . Class+Frequency. 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. Department of Applied Mathematics & Statistics. Stony Brook University. Review of . (the non-repeated measures) . ANOVA. 2. Review of ANOVA. The One-way ANOVA we have just learnt can test the equality of several population means.. 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. ‘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