Refer to Review Exercise 32.

In addition to studying the 12 type 2 diabetes subjects (group 1), Polyzogopoulou et al. (A-36) studied five subjects with impaired glucose tolerance (group 2), and eight subjects with normal glucose tolerance (group 3). The following data are the 12-month postsurgery fasting glucose levels for the three groups.

Group 1.0 92.0 1.0 93.0 1.0 74.0 1.0 80.5 1.0 76.0 1.0 71.0 1.0 75.5 1.0 88.5 1.0 93.0 1.0 80.5 1.0 83.0 1.0 87.0 2.0 79.0 2.0 78.0 2.0 100.0 2.0 76.5 2.0 68.0 3.0 81.5 3.0 75.0 3.0 76.5 3.0 70.5 3.0 69.0 3.0 73.8 3.0 74.0 3.0 80.0 Source: Data provided courtesy of Theodore K. Alexandrides, M.D.
Can we conclude that there is a difference among the means of the three groups? If so, which pairs of means differ? Let a ¼ :05 for all tests.
For exercises 34 to 38 do the following:

(a) Indicate which technique studied in this chapter (the completely randomized design, the randomized block design, the repeated measures design, or the factorial experiment) is appropriate.

(b) Identify the response variable and treatment variables.

(c) As appropriate, identify the factors and the number of levels of each, the blocking variables, and the subjects.

(d) List any extraneous variables whose effects you think might be included in the error term.

(e) As appropriate, comment on carry-over and position effects.

(f) Construct an ANOVA table in which you indicate the sources of variability and the number of degrees of freedom for each.