Are the following statements true or false (a) A one-way

Chapter 11, Problem 11.5.9

(choose chapter or problem)

Are the following statements true or false? (a) A one-way layout with only k =2 treatments is equivalent to an independent samples design for comparing two means. (b) In an ANOVA table the sum of squares for treatments can be negative if the only difference between the treatment levels can be explained by random variation. (c) Large variability in the data within the treatments of a one-way layout produces a large sum of squares for error that makes it more difcult to identify a difference between the treatment means. (d) In a randomized block design the degrees of freedom for error cannot be smaller than the degrees of freedom for blocks. (e) An analysis of variance table shows how the total variability in a data set can be attributed to different sources. (f) The distinction between randomized block designs and one-way layouts is analogous to the distinction between a paired two-sample data set and an unpaired two-sample data set. (g) When a graphical representation is made of the differences between the treatments in a one-way layout, a line extending between two different treatments indicates that it has been proved that the two treatments are identical. (h) A randomized block design has the advantage that it is not necessary to assume that the differences between the factor level effects are the same for each of the blocks.