Table 6 Productivity–quality analysis...

Table 6

Productivity–quality analysis results

	t-test (p-value)	t-test (p-value)
	$H_{0} : {\bar{X}}_{1} - {\bar{X}}_{2} = 0$	$H_{0} : {\bar{X}}_{1} - {\bar{X}}_{2} = 0$
	$H_{1} : {\bar{X}}_{1} - {\bar{X}}_{2} \neq 0$	$H_{1} : {\bar{X}}_{1} - {\bar{X}}_{2} > 0$
First instance
Total review	0.335	0.168
Partial review	0.363	0.185
Partial + total review	0.226	0.113
Courts of appeal
Total review	0.038	0.019
Partial review	0.010	0.005
Partial + total review	0.003	0.002

	t-test (p-value)	t-test (p-value)
	$H_{0} : {\bar{X}}_{1} - {\bar{X}}_{2} = 0$	$H_{0} : {\bar{X}}_{1} - {\bar{X}}_{2} = 0$
	$H_{1} : {\bar{X}}_{1} - {\bar{X}}_{2} \neq 0$	$H_{1} : {\bar{X}}_{1} - {\bar{X}}_{2} > 0$
First instance
Total review	0.335	0.168
Partial review	0.363	0.185
Partial + total review	0.226	0.113
Courts of appeal
Total review	0.038	0.019
Partial review	0.010	0.005
Partial + total review	0.003	0.002

Note(s): In the t-test notation, ${\bar{X}}_{1}$ is the mean of the quality index of the efficient districts and ${\bar{X}}_{2}$ is the mean of the quality index of the inefficient district

The Shapiro–Wilk test is performed for checking normality of the sample and variance F-test for the equality of variance

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