ABSTRACT
Since the degrees of freedom for αt /2 is − − = − − = −a b b b( 1)( 1) (2 1)( 1) ( 1).To be conservative, we will start with =df 10. For α = 0.05, α/2 = =0.05/2 0.025. Thus, =t 2.2280.025 .
= = = ≈αb t sB 2( ) ( ) 2(2.228) (15)
10 22.34 23 /2
Now, suppose that we use 20 for degrees of freedom. Thus, =t 2.086.0.025
= = = ≈ αb t sB
2( ) ( ) 2(2.086) (15) 10 19.58 20
Thus, we should use 20 blocks. 13.21 The steps in the design of an experiment that affect the volume of the signal are: Step 1 Selecting the factors Step 2 Choosing the treatments Step 3 Determining the sample size 13.23 In both designs, there is one factor of primary interest to the study. In the ran-
domized block design, a second factor is suspected of contribution information to the response variable. The block design is advantageous when such a contribution actually exists. The randomized block design allows for “blocking” out the effect of this second factor.
