: ASN2 Function

ASN2 Function

computes the average sample number for a double-sampling plan.

Syntax

ASN2(mode, $\text{[math]}$ )

where

mode	identifies whether sampling is under full inspection (mode is 'FULL') or semicurtailed inspection (mode is 'SEMI').
$\text{[math]}$	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 $\text{[math]}$ .
$\text{[math]}$	is the size of the second sample, where $\text{[math]}$ .
$\text{[math]}$	is the proportion of nonconforming items produced by the process, where $\text{[math]}$ .

Description

The ASN2 function returns the average sample number for a Type B double-sampling plan under full inspection (mode is 'FULL') or semicurtailed inspection (mode is 'SEMI'). For details on Type B double-sampling plans, see Types of Sampling Plans.

For full inspection, the average sample number is

$\text{[math]}$

and for semicurtailed inspection, the average sample number is

$\text{[math]}$

where

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

Examples

The first set of statements results in a value of 15.811418112. The second set of statements results in a value of 14.110408695.

data;
   asn=asn2('full',0,2,1,13,13,0.18);
   put asn;
run;

data;
   asn=asn2('semi',0,2,1,13,13,0.18);
   put asn;
run;