E(£ /BE) E (y, ER 7H} bo 
Eis) = E{R © 8, n one 
E {53/43 = E { € /H3 -ECg HJ = (b-m) a” 
2 . : 
where 0° is the variance factor 
also 
MH 
e 
E(g,/H)-E(clg,; (- AX')/H) 
Il 
© 
E(g]/H }=E{T"- Ay /H.) 
The expectations of these quantities under H are: 
= T = = 1 k 
E(g /E) *E( Ay, E, Ay, /H) - E(Us/B) * Vy V 
Ris -R(S dia ASE CES AIT ET (3.1.4) 
E {2 /M }=B{2/M } -B {2e /Æ 1 =E{e, HB} (3.1.5) 
and 
E (5, /Æ) = E (8, /H} +Vv, 
u : Lx 
Eis menn mi 
Ta k k 
Vw. = 
where, wy c1& o ey" Ey" 
From (3.1.5) it is deduced that, it is not possible to establish a deci- 
sion rule based on the quantity g, for testing H, against a. 
From the relationship (3.1.4) we obtain the following inequality 
e 2 
E (£,/H} > El £1/H,} = mo 
or 
E (m/R) » EC w, /H) 71 
where 
£ 
1/0 
X, = 252” (3.1.6) 
— 101. -