STAT 302 502 Wk 13 11 18 explanatory categorical response quantitative we can use one way ANOVA one way ANOVA analysis of variance compare several means do these pops have the same mean compare how far apart the sample means are use variation within samples ie we find that 3 sample means are different in test statistic for F 1 variation among sample means 2 variation among individuals in same sample does this mean that the population means for these 3 groups are different too assumptions pop dists of response variable for k groups are NORMAL w same SD for each group groups are independent ANOVA is robust to deviations from Normality for large enough samples given that there are no extreme outliers given that the largest group s standard deviation is no more than 2 times the smallest group s standard deviation denominator numerator evidence against null F is larger numerator denominator evidence against null F is larger if the sample sizes are large enough there s stronger evidence against the null hypothesis we calculate F value to find p value to make conclusion
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