Refer to Exercise 14.33. Suppose that the two laboratories were randomly selected from a…

Refer to Exercise 14.33. Suppose that the two laboratories were randomly selected from a population of laboratories for participation in the study, which also included time as a possible source of variability.

a. Obtain the expected mean squares for all sources of variability.

b. Test all relevant sources of variability for significance. Use a  .05.

c. Compare the results obtained here to the results obtained in Exercise 14.34.

d. Does considering the laboratory effects to be random effects seem more relevant than considering them to be fixed effects? Explain your answer.

Exercise 14.34

Refer to Exercise 14.33. Obtain an analysis of variance for both dependent variables (i.e., y1  mg/mL of active ingredient and y2  pH). Draw conclusions about the stability of these 2-mL vials based on these analyses. Use   .05.

Exercise 14.33

Researchers were interested in the stability of a drug product stored for four lengths of time (1, 3, 6, and 9 months). The drug was manufactured with 30 mg/mL of the active ingredient of a drug product, and the amount of the active ingredient in the drug at the end of the storage period was to be determined. The drug was stored at a constant temperature of 30°C. Two laboratories were used in the study, with three 2-mL vials of the drug randomly assigned to each of the four storage times. At the end of the storage time, the amount of the active ingredient was determined for each of the vials. A measure of the pH of the drug was also recorded for each vial. The data are given here.

a. Write a model relating the pH measured on each vial to the factors of length of storage time and laboratory.

b. Display an analysis of variance table for the model of part (a).

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