... quadratic inequality for r, leading to1001 Àa% confidence limits for r given byrL, rUy Àgv 12 v 22 Æ tf , aSx 2 v11À 2yv 12 y 2 v 22 À g v11Àv 2 12 v 22 !1 2 1 Àg, 5:15where160 ... be1 2 x1 x 2 :Observed x1x 2 Expected1 2 x1 x 2 1 2 x1 x 2 Applying the usual formula (4.30) for a x 2 statistic, we haveX 2 x1À1 2 x1 x 2 2 1 2 x1 x 2 x 2 À1 2 x1 ... unknown parameter s 2 ,and that s 2 is estimated by a statistic s 2 on f DF. Define Ex1 m1,Ex 2 m 2 , varx1v11s 2 , varx 2 v 22 s 2 and covx1, x 2 v 12 s 2 . Denotethe...