Accept that for a specific two-way model, go = 12, g1 = 3, and g2 = 2. Expect additionally that P12 = 0, which we have guaranteed can be deciphered as no collaboration. Note that the hypothetical mean for the treatment mix (1) is = Po + Pi(- 1) P2(- 1) = 12 3 2 = 7 (a) Track down the hypothetical methods for mixes a, b, and abdominal muscle, separately.

(b) Mark the leftover methods on the chart of Fig. 14.3.

(c) Discover the slants of the line portions appeared in Fig. 14.3. Contend that these line sections are equal, true to form when there is no connection. FIGURE 14.3 A diagram of levels of factor B across levels of factor A when it is expected that g12 = 0.

z (Factor B high) (Factor B low)

Low High Factor A

Question 38

Accept that for a specific two-way model, po = 12, gl = 3, and P2 = 2. Accept likewise that p12 = 1, which we have guaranteed can be deciphered as the presence of connection between factors An and B. (a) Track down the hypothetical methods for the treatment mixes (1), a, b, and stomach muscle.

(b) Develop a chart of those methods like that of Fig. 14.3.

(c) Discover the inclines of the line fragments in your chart. Contend that these line sections are not equal, true to form when cooperation exists.

FIGURE 14.3 A chart of levels of factor B across levels of factor A when it is expected that p12 = 0.

a/(Factor B high) (Factor B low)

Low High Factor A

Question 39

The full 23 model is given by

= Po + Ntxl + P2X2 $3x3 04XiX2 195XIX3 P6X2X3 Pi XiX2X3 (a) Total the table of coefficients started in Table 14.17.

(b) From Table 14.17 it tends to be seen that [ ( 1 + a b c + abdominal muscle + ac bc + abc]2 SSA 23n Discover SSB, SSc, SSAB, SSAC, SS8c, and SSABC. TABLE 14.17 Coefficients of impacts for e factorial

Impacts

Question 40

Consider the four-factor model

FAY1xl. X3, X4 N + Pixi + I32x2 + 133x3+ 134x4

in which it is accepted deduced that there are no collaboration terms. (a) What number of treatment blends are conceivable?

(b) Develop a table of coefficients of impacts like Table 14.17 for this model.

(c) Discover SSA, SSB, SSD and SSD. TABLE 14.17 Coefficients of impacts for 23 factorial

Impacts

Treatment xi x2 x3 x1x2 x1x3 x2x3 x1x2x3 mix A B C Abdominal muscle AC BC ABC

(I) a stomach muscle ac be abc

+