Consider the two-way analysis of variance setup, with m observations per cell.

a. Show that the between-groups sum of squares can be written as follows:

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K SSG Hm.. - HKm == b. Show that the between-blocks sum of squares can be written as follows: = H - SSB Km. HKm c. Show that the error sum of squares can be written as follows: = KHm m KH SSE - - i=1j=11=1 i=1j=1 d. Show that the total sum of squares can be written as follows: = KHM HKm SST - - e. Show that the interaction sum of squares can be written as follows: KH K H SSI = . - . - . + i=1=1