# Question: An article in Quality Progress describes the use of factorial

An article in Quality Progress describes the use of factorial experiments to improve a silver powder production process. This product is used in conductive pastes to manufacture a wide variety of products ranging from silicon wafers to elastic membrane switches. Power density (g/cm3) and surface area (cm2/g) are the two critical characteristics of this product. The experiments involved three factors: reaction temperature, ammonium percentage, and stirring rate. Each of these factors had two levels, and the design was replicated twice. The design is shown in table 13.E8.

(a) Analyze the density response. Are any interactions significant? Draw appropriate conclusions about the effects of the significant factors on the response.

(b) Prepare appropriate residual plots and comment on model adequacy.

(c) Construct appropriate plots to aid in practical interpretation of the density response.

(d) Analyze the surface area response. Are any interactions significant? Draw appropriate conclusions about the effects of the significant factors on the response.

(e) Prepare appropriate residual plots and comment on model adequacy.

(f) Construct appropriate plots to aid in practical interpretation of the surface area response.

(a) Analyze the density response. Are any interactions significant? Draw appropriate conclusions about the effects of the significant factors on the response.

(b) Prepare appropriate residual plots and comment on model adequacy.

(c) Construct appropriate plots to aid in practical interpretation of the density response.

(d) Analyze the surface area response. Are any interactions significant? Draw appropriate conclusions about the effects of the significant factors on the response.

(e) Prepare appropriate residual plots and comment on model adequacy.

(f) Construct appropriate plots to aid in practical interpretation of the surface area response.

**View Solution:**## Answer to relevant Questions

Suppose that the specifications require that the surface area must be between 0.3 and 0.6 cm2/g and that the density must be less than 14 g/cm3. Find a set of operating conditions that will result in a product that meets ...The data shown in Table 14E.5 were collected in an experiment to optimize crystal growth as a function of three variables x1, x2, and x3. Large values of y (yield in grams) are desirable. Fit a second-order model and analyze ...Consider the response model in equation 14.5 and the transmission of error approach to finding the variance model (equation 14.7). Suppose that in the response model we use What effect does including the interaction terms ...An article by J. J. Pignatiello, Jr. and J. S. Ramberg in the Journal of Quality Technology (Vol. 17, 1985, pp. 198- 206) describes the use of a replicated fractional factorial to investigate the effect of five factors on ...Reconsider the situation described in Exercise 15.1. Suppose that the batch of accounts contains two erroneous accounts. What is the probability that the random sample of size n = 5 that is selected contains at least one of ...Post your question