Suppose that we are interested in assessing whether two groups formed by variable X5 exhibit statistically significant differences for three outcome variables measured by X19, X20, and X21. After running the command "manova X19 X20 X21 = X5" in Stata, we get the following results: Number of obs = 200 = Wilks' lambda L = Lawley-Hotelling trace p = pillai's trace R = Roy's largest root. Source Statistic df Fidfl, df2) = F Prob>F 0. 6931 1 3.0 196-0 20.92 0.0000 - 0 - 3069 3.0 196-0 28 - 92 0.0000 e 0.4427 3-0 196-0 28 - 92 0.0000 e 0 . 4127 3-0 196-0 20 . 92 0.0000 e Residual 198 Total 195 e - exact, a = approximate, u = upper bound on F Based on the results above O a statistically significant difference exits for X19 by X5. O MANOVA results are inconclusive. O a statistically insignificant difference exists for X19 by X5. O a statistically significant difference exists for a variate comprised of X19, X20, and X21 by X5