In a randomized block experimental design, which of the following statements is INCORRECT? A) All the assumptions necessary for a completely randomized design are necessary for the randomized block design as well. B) The number of categories for each of the extraneous or blocked variables must be equal to the number of treatments. C) Treatment effects are assumed to be additive. D) The model underlying the randomized block design holds that the 8th observation on the j^th treatment results from the overall mean plus the treatment effect j plus the effect of the i^th block, plus random error. E) All of the above are correct statements.

Question

Quizplus · Accepted Answer

The number of categories for each of the extraneous or blocked variables does not need to be equal to the number of treatments. This statement is incorrect because in a randomized block design, the primary goal is to control for the variability due to the blocking factor, not to match the number of levels of the blocking factor to the number of treatments.

In a Randomized Block Experimental Design, Which of the Following