The followings is the question I have trouble to answer. May I ask if you provid

Question

The followings is the question I have trouble to answer. May I ask if you provide a step by step explanation, please? Thanks! I am appreciated your help.

A randomized blo ck design with 4 treatments and 5 blocks produced
the following sum of squares values: SS(Total) = 1951, SST = 349,
SSE = 188. Find MSB.
(a) MSB = 353.5
(b) MSB = 282.8
(c) MSB 471.3333
(d) MSB 117.8333

A randomized block design with 4 treatments and 5 blocks produced the following sum of squares values: SS(Total) J 1951, SST 349 SSE 188. Find MSB. (a) MSB 353.5 (b) MSB 282.8 (c) MSB 471.3333 (d) MSB 117.8333

Explanation / Answer

DFB = Number of blocks - 1 = 5 - 1 = 4

Also,

SST + SSB + SSE = SS(Total)

So,

SSB = SS(Total) - SST - SSE

SSB = 1951 - 349 - 188

SSB = 1414

Hence,

MSB = SSB / DFB = 1414 / 4 = 353.5

Option a) is correct.

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