: ATI2 Function

ATI2 Function

computes the average total inspection for a double-sampling plan.

Syntax

ATI2( $\text{[math]}$ )

where

$\text{[math]}$	is the lot size, where $\text{[math]}$ .
$\text{[math]}$	is the acceptance number for the first sample, where $\text{[math]}$ .
$\text{[math]}$	is the rejection number for the first sample, where $\text{[math]}$ .
$\text{[math]}$	is the acceptance number for the second sample, where $\text{[math]}$ .
$\text{[math]}$	is the size of the first sample, where $\text{[math]}$ and $\text{[math]}$ .
$\text{[math]}$	is the size of the second sample, where $\text{[math]}$ and $\text{[math]}$ .
$\text{[math]}$	is the proportion of nonconforming items produced by the process, where $\text{[math]}$ .

Description

The ATI2 function returns the average total inspection for a Type B double-sampling plan. For details on Type B double-sampling plans, see Types of Sampling Plans.

The average total inspection is

$\text{[math]}$

where

$\text{[math]}$	$\text{[math]}$	$\text{[math]}$
$\text{[math]}$	$\text{[math]}$	$\text{[math]}$
$\text{[math]}$	$\text{[math]}$	$\text{[math]}$
$\text{[math]}$	$\text{[math]}$	$\text{[math]}$

and

$\text{[math]}$	$\text{[math]}$	$\text{[math]}$
$\text{[math]}$	$\text{[math]}$	$\text{[math]}$
$\text{[math]}$	$\text{[math]}$	$\text{[math]}$
$\text{[math]}$	$\text{[math]}$	$\text{[math]}$
$\text{[math]}$	$\text{[math]}$	$\text{[math]}$
$\text{[math]}$	$\text{[math]}$	$\text{[math]}$

Examples

The following statements result in a value of 110.35046381:

data;
   ati=ati2(120,0,2,1,13,13,0.18);
   put ati;
run;