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Analysis of Variance (ANOVA)

Analysis of Variance (ANOVA). Post-Hoc Analysis. Word check. When I talk about between groups variability, what am I talking about? What about within groups variability? What does SST represent? SSE? In general , how are these calculated? What does MS (either within or between) represent?

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Analysis of Variance (ANOVA)

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  1. Analysis of Variance (ANOVA) Post-Hoc Analysis

  2. Word check • When I talk about between groups variability, what am I talking about? What about within groups variability? • What does SST represent? SSE? In general, how are these calculated? • What does MS (either within or between) represent? • What does the F ratio represent?

  3. Regression and ANOVA • http://www.stat.yale.edu/Courses/1997-98/101/anovareg.htm

  4. Tukey’s Method • Compares the means for each pair of factor levels using a family error rate to control the rate of type I error. often called familywise error rate or experimentwise error rate • The family error rate is the probability of making one or more type I errors for the entire set of comparisons. • Tukey's method adjusts the individual confidence level, based on the family error rate you choose.

  5. Multiple Comparisons • These are confidence intervals • Do the pairs of numbers capture 0? • If so… no significant difference in the means (we fail to reject the null hypothesis) • If not, we can conclude that the mean for one expression exceeds the mean for the other

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