Might a transformation be useful for these data, Basic Statistics

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Might a transformation be useful for these data

(a) A 3 x 3 factorial design was used to explore the effects of three sources of clay I, II, III and three ceramic molds A, B, C. Five replicates of each clay-mold combination were prepared and all 45 randomly placed within a furnace before firing. The response is a measure of surface roughness:

1537_clay-mold combination.png

Might a transformation be useful for these data? Why?

(b) Make calculations to show if an appropriate transformation might change the interpretation of these data.

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Basic Statistics: Might a transformation be useful for these data

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Basic Statistics: Might a transformation be useful for these data

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