Question 2. To conduct multivariate analysis of variance (MANOVA) on k > 2 groups (samples), we compare the variation be
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Question 2. To conduct multivariate analysis of variance (MANOVA) on k > 2 groups (samples), we compare the variation be
Question 2. To conduct multivariate analysis of variance (MANOVA) on k > 2 groups (samples), we compare the variation between and within each group via the between group matrix B and the within group matrix E, where B=n(n-1..) (-7..)" and E-CE (6-5) (; – 5a)" Show that these two matrices can be expressed in the simpler computational forms B- n nk = n =lj=1 and E-ΣΣύρθι where the vector notation without the bar, ie, vi, denotes the total of all observation vectors in the i-th group, and y..is the overall total of all observation vectors. [8 marks) 1 of 2