Package 'AQLSchemes'

Title: Retrieving Acceptance Sampling Schemes
Description: Functions are included for recalling AQL (Acceptable Quality Level or Acceptance Quality Level) Based single, double, and multiple attribute sampling plans from the Military Standard (MIL-STD-105E) - American National Standards Institute/American Society for Quality (ANSI/ASQ Z1.4) tables and for retrieving variable sampling plans from Military Standard (MIL-STD-414) - American National Standards Institute/American Society for Quality (ANSI/ASQ Z1.9) tables. The sources for these tables are listed in the URL: field. Also included are functions for computing the OC (Operating Characteristic) and ASN (Average Sample Number) coordinates for the attribute plans it recalls, and functions for computing the estimated proportion nonconforming and the maximum allowable proportion nonconforming for variable sampling plans. The MIL-STD AQL Sampling schemes were the most used and copied set of standards in the world. They are intended to be used for sampling a stream of lots, and were used in contract agreements between supplier and customer companies. When the US military dropped support of MIL-STD 105E and 414, The American National Standards Institute (ANSI) and the International Standards Organization (ISO) adopted the standard with few changes or no changes to the central tables. This package is useful because its computer implementation of these tables duplicates that available in other commercial software and subscription online calculators.
Authors: John Lawson <[email protected]>
Maintainer: John Lawson <[email protected]>
License: GPL-2
Version: 1.7-2
Built: 2025-03-10 05:04:18 UTC
Source: https://github.com/cran/AQLSchemes

Help Index

This package contains functions to recall MIL-STD-105E - ANSI/ASQ Z1.4, and the MIL-STD-414 - ANSI/ASQ Z1.9 Variable Sampling Plans from the Public Domain Published Tables

Description

The AAQLSchemes package provides a functions to recall MIL-STD-105E - ANSI/ASQ Z1.4 - ISO2859-1 and MIL-STD-414 - ANSI Z1.9 - ISO3951-1 Sampling Plans from Published Tables.

Details

Package: AQLSchemes
Type: Package
Version: 1.7-2
Date: 2023-09-06
License: GPL2.0
Dependencies:
LazyLoad: yes
Packaged: 2023-09-06 19:54:07 UTC; Lawson
Built: R 3.5.1; i386-pc-mingw32; 2011-03-22 19:54:08 UTC; windows

Index: 

AADouble                Calls function AAZ14Double
AAMultiple              Calls function AAZ14Multiple
AASingle                Calls function AAZ14Single
AAZ14Double             Recalls and prints Sampling plans
AAZ14Multiple           Recalls and prints Sampling Plans
AAZ14Single             Recalls and prints Sampling Plans
AAZ19                   Recalls and Prints Z19 Sampling Plans
EPn                     Calulates the estimated proprtion non-conforming
MPn                     Calculates the maximum allowable proportion non-conforming
OCASNZ4S                Calculates the OC values for an attribute single sampling plan
OCASNZ4D                Calculates the OC and ASN values for an attribute double sampling plan
OCASNZ4M                Calculates the OC and ASN values for an attribute multiple sampling plan

Author(s)

John Lawson <[email protected]>

Maintainer: John Lawson <[email protected]>

This function recalls MIL-STD-105E - ANSI/ASQ Z1.4 Double Sampling Plans from the published tables.

Description

This function calls the function AAZ14Double function that queries the user for the inspection level, lotsize, and AQL, and then it recalls the appropriate sample sizes, acceptance numbers and rejection numbers and returns a data frame with two rows and three columns.

Usage

AADouble(type)

Arguments

type

type is either 'Normal', 'Tightened' or 'Reduced' to specify which type sampling plan is desired.

Value

returns a data frame with two rows and three columns

Note

This function calls the function AAZ14Double to get the specifications and recall and return the plan in a data frame.

Author(s)

John S. Lawson [email protected]

References

<https://archive.org/details/MIL-STD-105E_1>

This function recalls MIL-STD-105E - ANSI/ASQ Z1.4 Multiple Sampling Plans from the published tables.

Description

This function calls the function AAZ14Multiple function that queries the user for the inspection level, lotsize, and AQL, and then it recalls the appropriate sample sizes, acceptance numbers and rejection numbers and returns a data frame.

Usage

AAMultiple(type)

Arguments

type

type is either 'Normal', 'Tightened' or 'Reduced' to specify which type sampling plan is desired.

Value

returns a data frame with seven rows and three columns

Note

This function calls the function AAZ14Multiple to get the specifications and recall and print the plan.

Author(s)

John S. Lawson [email protected]

References

<https://archive.org/details/MIL-STD-105E_1>

This function recalls MIL-STD-105E - ANSI/ASQ Z1.4 Single Sampling Plans from the published tables.

Description

This function calls the function AAZ14Single function that queries the user for the , inspection level, lotsize, and AQL, and then recalls and prints the appropriate sample sizes, acceptance numbers and rejection numbers and returns a data frame.

Usage

AASingle(type)

Arguments

type

type is either 'Normal', 'Tightened' or 'Reduced' to specify which type sampling plan is desired.

Value

returns a data frame with one row and three columns

Note

This function calls the function AAZ14Single to get the specifications and recall and print the plan.

Author(s)

John S. Lawson [email protected]

References

<https://archive.org/details/MIL-STD-105E_1>

This function queries the user for the specs and recalls MIL-STD-105E - ANSI/ASQ Z1.4 Double Sampling Plans from the published tables.

Description

This function is called by the function AADouble function.

Usage

AAZ14Double(PLAN, INSL, LOTS, AQL)

Arguments

PLAN

PLAN is the plan type 1=normal, 2=Tightened, 3=reduced.
INSL

INSL is the inspection level, 1-7.
LOTS

LOTS is the lot size, 1-15.
AQL

AQL is the Acceptance Quality Level, 1-26.

Value

returns a data frame with two rows and three columns

Note

This function is called by the function AADouble.

Author(s)

John S. Lawson [email protected]

This function queries the user for the specs and recalls MIL-STD-105E - ANSI/ASQ Z1.4 Multiple Sampling Plans from the published tables.

Description

This function is called by the function AAMultiple function.

Usage

AAZ14Multiple(PLAN, INSL, LOTS, AQL)

Arguments

PLAN

PLAN is the plan type 1=normal, 2=Tightened, 3=reduced.
INSL

INSL is the inspection level, 1-7.
LOTS

LOTS is the lot size, 1-15.
AQL

AQL is the Acceptance Quality Level, 1-26.

Value

returns a data frame with seven rows and three columns

Note

This function is called by the function AAMultiple.

Author(s)

John S. Lawson [email protected]

This function queries the user for the specs and recalls MIL-STD - ANSI/ASQ Z1.4 Double Sampling Plans from the published tables.

Description

This function is called by the function AASingle function.

Usage

AAZ14Single(PLAN, INSL, LOTS, AQL)

Arguments

PLAN

PLAN is the plan type 1=normal, 2=Tightened, 3=reduced.
INSL

INSL is the inspection level, 1-7.
LOTS

LOTS is the lot size, 1-15.
AQL

AQL is the Acceptance Quality Level, 1-26.

Value

returns a data frame with one row and three columns

Note

This function is called by the function AASingle.

Author(s)

John S. Lawson [email protected]

This function queries the user for the specs and recalls MIL-STD-414 variable sampling plans from the published tables.

Description

This function recalls Normal, Tightened and Reduced Plans including the sample size n, acceptability constant (k), and the maximum proportion nonconforming allowable M.

Usage

AAZ19(type,stype,INSL,LOTS,AQL)

Arguments

type

type is the plan type 'Normal', 'Tightened', or 'Reduced', Normal is Default.
stype

stype is "known" or "unknown", unknown is Default
INSL

INSL is 1-5
LOTS

LOTS is 1-16
AQL

AQL is 1-11

Value

returns a vector of length 3 containing the sample size (n), acceptability constant (k), and the maximum proportion nonconforming allowable (M)).

Author(s)

John S. Lawson [email protected]

References

<https://archive.org/details/MIL-STD-414>

This function calulates the estimated proprtion non-conforming.

Description

This function calulates the estimated proprtion non-conforming with sigma unknown or known using the standardized distribution.

Usage

EPn(sample,sided,stype,LSL,USL,sigma,xbar,s,n)

Arguments

sample

sample is a numeric vector of sampled values.
sided

sided is 'one' or 'two' depending on whether there is one or two specification limits. The default is 'one'.
stype

stype is 'known' or 'unknown' depending on whether the standard deviation is known. The default is 'unknown'.
LSL

LSL is the lower spoecification limit, leave it out if there is no lower specification limit.
USL

USL is the upper spoecification limit, leave it out if there is no upper specification limit.
sigma

sigma is the known standard deviation, leave it out if it is unknown an stype is 'unknown'.
xbar

sample mean. Leave it out if the vector sample is supplied.
s

sample standard deviation. Leave it out if the vector sample is supplied.
n

number of items in the sample. Leave it out if the vector sample is supplied.

Value

returns a single number (the estimated proportion nonconforming)

Author(s)

John S. Lawson [email protected]

Examples

EPn(sided="one",stype="known",LSL=100,sigma=8,xbar=110,n=10)
EPn(sided="one",stype="unknown",LSL=225,xbar=255,s=15,n=42)
sample<-c(197,188,184,205,201)
EPn(sample,sided="one",USL=209)
sample<-c(197,188,184,205,201)
EPn(sample,sided="two",LSL=180,USL=209)
EPn(sided="two",stype="known",sigma=2,LSL=90,USL=100,xbar=96.68,n=21)

This function calulates the maximum allowable proprtion non-conforming.

Description

This function calulates the maximum allowable proprtion non-conforming with sigma unknown or known using the standardized distribution.

Usage

MPn(k,n,stype)

Arguments

k

k is the acceptance constant for the variables sampling plan.
stype

stype is 'known' or 'unknown' depending on whether the standard deviation is known. The default is 'unknown'.
n

n is number of items in the sample required by the variables sampling plan.

Value

returns a single number (the maximum allowable proportion nonconforming)

Author(s)

John S. Lawson [email protected]

References

Lawson, J. "An Introduction to Acceptance Sampling and SPC with R" pp 45=48.

Examples

MPn(k=1.6094,n=10,stype="known")
MPn(k=1.905285,n=42,stype="unknown")

This function creates a data frame containing three columns 1)proportion defective=pd, 2)OC=prob accept, and 3)ASN=average sample no.

Description

This function takes the data frame=plan created by the AAZ14Double function and and a vector of proportion defectives=pd. It calculates OC and ASN values and creates a data frame.

Usage

OCASNZ4D(plan,pd)

Arguments

plan

plan is a data frame with two rows containing sample no's=n,acceptance no's=c, and rejection no's=r for first and second samples
pd

pd is a vector of values of the poprtion defective to b used in the OC ASN Curves

Value

returns a data frame containing three columns 1)proportion defective=pd, 2)OC=prob accept, and 3)ASN=average sample no.

Note

This function calls the function AAZ14Double to get the specifications and recall and print the plan.

Author(s)

John S. Lawson [email protected]

Examples

pland<-data.frame(n=c(125,125),c=c(3,8), r=c(7,9))
Pnc<-seq(0,.08,.005)
OCASND<-OCASNZ4D(pland,Pnc)
OCASND$OC
OCASND$ASN

This function creates a data frame containing three columns 1)proportion defective=pd, 2)OC=prob accept, and 3)ASN=average sample no.

Description

This function takes the data frame=plan created by the AAZ14Multiple function and and a vector of proportion defectives=pd. It calculates OC and ASN values and creates a data frame.

Usage

OCASNZ4M(plan,pd)

Arguments

plan

plan is a data frame with seven rows containing sample no's=n,acceptance no's=c, and rejection no's=r for first through seventh samples
pd

pd is a vector of values of the poprtion defective to b used in the OC ASN Curves

Value

returns a data frame containing three columns 1)proportion defective=pd, 2)OC=prob accept, and 3)ASN=average sample no.

Note

This function calls the function AAZ14Double to get the specifications and recall and print the plan.

Author(s)

John S. Lawson [email protected]

Examples

planm<-data.frame(n=c(50,50,50,50,50,50,50),c=c(0,1,3,5,7,10,13),r=c(4,6,8,10,11,12,14))
Pnc<-seq(0,.08,.005)
OCASNM<-OCASNZ4M(planm,Pnc)
OCASNM$OC
OCASNM$ASN

This function creates a data frame containing three columns 1)proportion defective=pd, 2)OC=prob accept, and 3)ASN=average sample no.

Description

This function takes the data frame=plan created by the AAZ14Single function and and a vector of proportion defectives=pd. It calculates OC and ASN values and creates a data frame.

Usage

OCASNZ4S(plan,pd)

Arguments

plan

plan is a data frame with two rows containing sample no's=n,acceptance no's=c, and rejection no's=r for first and second samples
pd

pd is a vector of values of the poprtion defective to b used in the OC ASN Curves

Value

returns a data frame containing three columns 1)proportion defective=pd, 2)OC=prob accept, and 3)ASN=average sample no.

Note

This function calls the function AAZ14Double to get the specifications and recall and print the plan.

Author(s)

John S. Lawson [email protected]

Examples

plans<-data.frame(n=c(200),c=c(7),r=c(8))
Pnc<-seq(0,.08,.005)
OCASNS<-OCASNZ4S(plans,Pnc)
OCASNS$OC
OCASNS$ASN