### Review problems for Statistics 507

1. For discussion during lecture #6:

Problems from the text: 2.8; 4.1 a,b,c; 5.2 (for part c just calculate the
ICC, not its SE); 5.4.

Suppose you are investigating
the efficacy of pasteurization of milk by regional dairies over a period of
several months.

Considering a completely randomized design, describe a scenario
in which a fixed-effects model would be appropriate,

and also describe a
scenario in which a random-effects model would be appropriate.

2. For discussion during lecture #14:

i) 6.3 (not c and d)
ii) 6.11 a, b, d
iii)For the data in Table 6.13 (page 201), assume all are random effects. Use the computer
to get SS's then conduct an approximate F test for temperature manually - check
your results against the computer.
iv) 7.3 v) 8.1 a,b,c,e,f vi) 8.5 a,b,d

3. For discussion during lecture #22 :

Problems from the text: 9.1 a - e , 9.6, 9.7, 14.6.

4. For discussion during lecture #31 :

Problems from the text: 15.1, 15.5 (a-g), 11.1, 11.5, 11.7.

5. For discussion during lecture #39 :

Problems from the text: 12.2, 12.6, 17.2,

17.1 a-g (Also compare strength means and test for differences at the three
quartile values for weld diameter).

Also, construct a 2^{5-2 }fractional factorial design using the
defining relation I = CDE = -ABD. What is the design resolution? What is the
generalized interaction? Write the alias structure for main effects and
two-factor interactions.