Chapter Contents Previous Next
 Functions

## AOQ2 Function

computes average outgoing quality for a double-sampling plan.

### Syntax

AOQ2(replacement,N,a1,r1,a2,n1,n2,p)

where

 replacement has the value 'REP' or 'NOREP', respectively, depending on whether nonconforming items are replaced with conforming items. N is the lot size, where . a1 is the acceptance number for the first sample, where . r1 is the rejection number for the first sample, where r1>a1+1. a2 is the acceptance number for the second sample, where . n1 is the size of the first sample, where and . n2 is the size of the second sample, where and . p is the proportion of nonconforming items produced by the process, where 0

### Description

The AOQ2 function returns the average outgoing quality for a Type B double-sampling plan in which nonconforming items are replaced with conforming items (replacement is 'REP') or not replaced (replacement is 'NOREP'). For details on Type B double-sampling plans, see "Types of Sampling Plans".

For replacement, the average outgoing quality is

AOQ = [(pPa1(N-n1) + pPa2(N-n1-n2) )/N]

and for no replacement, the average outgoing quality is

AOQ = [( pPa1(N-n1) )/(N-n1p )] + [( pPa2(N-n1-n2) )/(N-n1p-n2p )]

where, in both situations,

and

### Examples

The first set of statements results in a value of 0.0148099904. The second set of statements results in a value of 0.0144743043.

   data;
aoq=aoq2('norep',120,0,2,1,13,13,0.18);
put aoq;
run;

data;
aoq=aoq2('rep',120,0,2,1,13,13,0.18);
put aoq;
run;


 Chapter Contents Previous Next Top