SSCI 2910U Lecture 6: Week 9- Hypothesis Testing III: The Analysis of Variance (ANOVA)
31 Mar 2018
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Week 9 lecture 6- hypothesis testing iii: the analysis of variance (anova) Have to use anova now to show if the differences exist and if the differences are statistically significant. Six steps in computation of anova: calculate total sum of squares (sst): A quicker way to calculate the statistic: calculate sum of squares between (ssb), calculate sum of squares within (ssw): A quicker way to calculate the statistic: calculate degrees of freedom (formulas 9. 5 and 9. 6), calculate the mean squares (formulas 9. 7 and 9. 8), calculate f ratio (formula 9. 9): *** know what each formula is for and what each letter stands for. As soon as you see this you know to calculate for x bar (mean) Using the 6 steps of anova to complete the example: sst (formula 9. 10) = 14. 32: degrees of freedom (formulas 9. 5 and 9. 6) Dfw = n k = 42 3 = 39.
