Question
Asked Dec 31, 2019
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Below we have given the notation used for the four sums of squares in the analysis of variance for a randomized block design. For each sum of squares, state its name, the source of variation it represents, and its dening formula.
a. SSBL
b. SSE
c. SSTR
d. SST

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Expert Answer

Step 1

(a)

The SSBL represents the block sum of the squares.

The source of variation for the block sum of squares is the variation among the sample means for the blocks.

The defining formula for SSBL is,

Statistics homework question answer, step 1, image 1
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Step 2

(b)

The SSE represents the error sum of the squares.

The source of variation for the error sum of squares is the variation within the samples for the treatments with the variation due to blocks removed.

The defining formula for SSE is,

Statistics homework question answer, step 2, image 1
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Step 3

(c)

The SSTR represents the treatment sum of the squares.

The source of variation for the treatment sum of squares is the vari...

Statistics homework question answer, step 3, image 1
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