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5. Consider the observations on two responses, ri and r2, displayed in the form of the...
The following two-way table gives data for a 2 × 2 factorial experiment with two observations per factor-level combination: The data are saved in the LM.TXT file. Factor B Level 1 2 Factor A 1 29.6, 35.2 47.3, 42.1 2 12.9, 17.6 28.4, 22.7 a. Identify the treatments for this experiment. Calculate and plot the treatment means, using the response variable as y-axis and the levels of factor B as the x-axis. Use the levels of factor A as plotting symbols. Do...
Saved Help Consider the following partially completed two-way ANOVA table. Suppose there are 5 levels of Factor A and 4 levels of Factor B. The number of replications per cellis 3. Use the 0.01 significance level. (Hint: estimate the values from the Ftable.) 1. Complete an ANOVA table. (Round MS and Fto 2 decimal places.) Source MSF Factor A Factor B Interaction 2. Find the critical values to test for equal means. (Round your answers to 2 decimal places.) Critical...
2. (a) Let us consider a full model of a balanced (all t treatments have equal number of observations r) CRD design with t treatments and r replications of each treatment, hence having n-rt observations i. Minimizing sum of square error Δfull(μ, Tỉ)-Σι-12jai (Vij-l-ri)2 with respect to μ and Ti find the least square estimators of μ and Te as μ and Ti Hint: Take derivative of the objective function with respect to u and Ti and equate then to...
Consider the following partially completed two-way ANOVA table. Suppose there are four levels of Factor A and two levels of Factor B. The number of replications per cell is 4. Use the 0.01 significance level. (Hint: Estimate the values from the Ftable.) a. Complete an ANOVA table. (Round MS and Fto 2 decimal places.) ANOVA SS df MS F Source Factor A 70 3 1.40 Factor B 50 11 23.33 50.00 70.00 3.00 Interaction 210 3 4.20 Error 24 16.67...
T, = 700K E 0.8 RI T, =900K 2 R2 E20.5 3. Two gray-diffuse spheres have properties and temperatures shown below. R and R2 are 0.1 m and 0.3 m respectively. (i) Compute heat transfer rate of sphere 1, q W]. Also, to minimize the heat loss, you decide to put a radiation shield in between the two spheres. (ii) Where do you prefer to place the radiation shield, i.e., close to sphere 1 or sphere 2 or right in...
Consider the following data for a two-factor experiment as shown to the right. Complete parts a through c Factor A Level1 Le Level 3 34 31 34 25 Level 2 34 27 21 Level 1 45 Factor B 31 27 25 19 b. Based on the sample data, can you conclude that the levels of factor A have equal means? Test using a significance eve o o.05 Choose the correct hypotheses below. HA: At least two levels of factor A...
5. [20] Consider a contest where two contestants, i e (1,2), compete for a prize worth v (in utility terms). The probability of contestant i wining the compe- P(e1,e2)2 where es is the effort exerted by contestant i. The losing contestant gets tition is ei nothing, The (utility) cost of effort is c(e) = e[. Thus, contestant i's payoff is given by (a) 18] Find the symmetric Nash equilibrium effort level. (b) (4] Given an interpretation of r. Give an...
5. [20] Consider a contest where two contestants, i E (1,2), compete for a prize worth v (in utility terms). The probability of contestant i wining the compe tition is e1+e2 where e is the effort exerted by contestant i. The losing contestant gets nothing. The (utility) cost of effort is c(e)-e. Thus, contestant i's payoff is given by (a) [8] Find the symmetric Nash equilibrium effort level. (b) [4] Given an interpretation of r. Give an interpretation of what...
5. [20] Consider a contest where two contestants, i E (1,2), compete for a prize worth v (in utility terms). The probability of contestant i wining the compe- P(a, ea) = el + e2, where e is the effort exerted by contestant i. The losing contestant gets nothing. The (utility) cost of effort is cfe) et. Thus, contestant i's payoff tition is is given by (a) [8] Find the symmetric Nash equilibrium effort level. (b) 14] Given an interpretation of...
A system consists of two particles of mass mi and m2 interacting with an interaction potential V(r) that depends only on the relative distancer- Iri-r2l between the particles, where r- (ri,/i,21) and r2 22,ひ2,22 are the coordinates of the two particles in three dimensions (3D) (a) /3 pointsl Show that for such an interaction potential, the Hamiltonian of the system H- am▽ri _ 2m2 ▽22 + V(r) can be, put in the form 2M where ▽ and ▽ are the...