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Diet • wheat • oats • barley Supplement • • • • agrimore supergain supersupp control Which research questions would you like to know ? Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 The objective of ANOVA is to compare several means (two or more) by comparing variances How can that work? Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 Diet • wheat • oats Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 10 Preliminary step: checking assumptions Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 42 Define null and alternative hypotheses Research question: Does one garden is different from the another with respect to ozone concentration ? Null hypothesis Alter hypothesis Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 43 Define null and alternative hypotheses Research question for general cases: Does one garden is different from the others with respect to ozone concentration ? Null hypothesis Alter hypothesis Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 44 Set the criterion Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 45 Collect sample data Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 46 Calculate F-statistic Source 4.17 Regression Error Total Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 47 Interpret results Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 48 Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 49 Do you have any remarks on SST ? Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 50 Do you have any remarks on SST ? Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 51 Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 52 SST (of dependent variable) will never change regardless of the number of qualitative independent variables ? Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 53 SST = SSR + SSE SSR Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 54 Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 55 for your attention Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 56 ... ANOVA Tâm Minh Lê 5/21/2019 Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 10 Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 11 Chapter 13: ANOVA Tâm Minh Lê 5/21/2019... 13: ANOVA Tâm Minh Lê 5/21/2019 29 Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 30 Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 31 Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 32 Chapter 13: ANOVA Tâm. .. wheat Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 13 oats wheat Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 14 Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 15 Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 16