Question: The rotatable central composite design. It can be shown that a second-order design is rotatable if if a or b (or both) are odd and

The rotatable central composite design. It can be shown that a second-order design is rotatable if

if a or b (or both) are odd and if

Show that for the central composite design these conditions lead to α = (n_F)^1/4' for rotatability, where n_F. is the number of points in the factorial portion.

Step by Step Solution

★★★★★

3.46 Rating (175 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The central composite design is a widely used secondorder design in experimental design In order to ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Design And Analysis Of Experiments Questions!

Crossover Bass Co., which began business in 20X7 and uses LIFO costing under the periodic method, made the following inventory purchases: Purchase date Units Unit cost Total Cost 20X7 February 5...

Consider a central composite design for k = 4 variables in two blocks. Can a rotatable design always be found that blocks orthogonally?

Sometimes experimenters prefer to use a spherical central composite design in which the axial distance is a = k , where k is the number of design factors. Is the spherical design similar to the...

It can be shown that a nonnegative n X n matrix is irreducible if and only if (I + A) n- 1 > 0. In Exercises 1-3, use this criterion to determine whether the matrix A is irreducible. If A is...

11.17. The rotatable central composite design. It can be shown that a second-order design is rotatable if a b x = 0, ju if a or b (or both) are odd, and if x = 3xx Show that for the central composite...

The rotatable central composite design. It can be shown that a second-order design is rotatable if n u=1 xa iuxb ju = 0, if a or b or both are odd, and if n u=1 x4 iu = 3 n u=1 x2 iux2 ju. Show that...

.....Please help. 14-63. + An article in Rubber Age (1961. Vol. 89. pp. 453- (a) Fit a second-order response surface model to the data. 458) describes an experiment on the manufacture of a product...

6. Film viscosity experiment Cuq et al. (1995, Journal of Food Science) used a central composite design to study the effects of protein concentration (g/100 g solution), pH, and temperature (C),...

5. Fractionation experiment, continued The fractionation experiment was described in Exercise 3, and analysis of the first-order model for Yield was considered in Exercise 4. Based on the analysis of...

.... Kindly help out 14-93 The rework time required for a machine was found to 14-95. Consider the following ANOVA table from a two-fac- depend on the speed at which the machine was run (A). the or...

8. Central composite design Consider using a central composite design for three factors, to include eight factorial points and six axial points. (a) Determine the value of to make the design...

What is our company's current situation? Summarize its strengths, weaknesses, and competitive position. Support your analysis with evidence. Address each of the following: Does the company appear to...

In the preparation of a consolidated balance sheet, the differences between the fair value and the carrying amount of the subsidiary's net assets are used. Would these differences be used if the...

Assume that Portugal places a strict quota on goods imported from New Zealand and that New Zealand does not retaliate. Holding other factors constant, this event should immediately cause Portugal...

Q4.19. When selecting an elicitation technique, consideration should be given to the geographic location of participants. For a geographically disbursed team, the following would be good to use as...

(b) Apply Satterthwaite's approximation to obtain 99% confidence intervals for the pairwise comparisons of the main effects of factor A using Tukey's method of multiple comparisons.

(a) Evaluate the effectiveness of a variance-equalizing transformation.

10. Bleach experiment, continued Use the data of the bleach experiment of Example 6.4.3, on page 151.

1.Two different methods are used to help children learn how to spell. Each child was given 60 words to spell, and it was noted how many words each child spelled correctly. Here are the counts for...

Imagine you are the district manager for Gord-a large automotive manufacturer.Gord assemblestheir carsat six different manufacturing plants across the city. In assembly plants thecompanies being the...

The answers above are wrong please help A population contains seven million Us and ve million 1s. What is the sampling distribution of the sample mean when the sample size is n = 5? Let X be the...