Hypothesis Designs for Three-Hypothesis Test Problems : Table 14

Table 14: Test process under the test scheme from Gaussian quadrature formulas.


$j$	$X_{j}$	$T_{j}$	$a + j \tan ψ$	$c + (j - n_{0}) \tan ψ$	$c + (j - n_{0}) \tan φ$	$d + j \tan φ$	Decision
$j$	$X_{j}$	$T_{j}$	$a + j \tan ψ$	when $j \geq n_{0}$	when $j \geq n_{0}$	$d + j \tan φ$	Decision

1	0.5689	0.5689	2.8688	*	*	$-$ 2.8688	*
2	$-$ 0.2556	0.3133	3.5201	*	*	$-$ 3.5201	*
3	$-$ 0.3775	$-$ 0.0642	4.1714	0.5241	$-$ 0.5241	$-$ 4.1714	Accept $H_{0}$