The article “Compatibility of Outer and Fusible Interlining Fabrics in Tailored Garments (Textile Res. J., 1997:

137–142) gave the following observations on bending

ˆ

u1, ˆ

u2

'/'u ' 2 /'u1 pi

(u1, u2)

H0: p1 5 p1(u1, u2),

c, p6 5 p6(u1, u2)

p6 5 2u2(1 2 u1 2 u2)

p4 5 2u1u2 p5 5 2u1(1 2 u1 2 u2)

p1 5 u1 2

p2 5 u2 2

p3 5 (1 2 u1 2 u2)2 P(N) 5 1 2 u1 2 u P 2 (H) 5 u1, P(L) 5 u2 a 5 .05 x 5 .173 s 5 .066

$ 7

[Hint: To obtain the mle of u, write the likelihood (the function to be maximized) as , where the exponents u and v are linear functions of the cell counts. Then take the natural log, differentiate with respect to u, equate the result to 0, and solve for .]