Designing and construction of tightened-normal-tightened variables sampling scheme
The tightened-normal-tightened (TNT) attributes sampling scheme was devised by Calvin (1977). In this paper, a TNT Scheme with variables sampling plan as the reference plan, designated as TNTVSS (n σ ; k T , k N ) is introduced, where n σ is the sample size under the reference plan, and k T and k N...
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| Veröffentlicht in: | Journal of applied statistics 2006-01, Vol.33 (1), p.101-111 |
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| creator | Muthuraj, D. Senthilkumar, D. |
| description | The tightened-normal-tightened (TNT) attributes sampling scheme was devised by Calvin (1977). In this paper, a TNT Scheme with variables sampling plan as the reference plan, designated as TNTVSS (n
σ
; k
T
, k
N
) is introduced, where n
σ
is the sample size under the reference plan, and k
T
and k
N
are the acceptance constants corresponding to tightened and normal plans respectively. The behaviour of OC curves of the TNTVSS (n
σ
; k
T
, k
N
) is studied. The efficiency of TNTVSS (n
σ
; k
T
, k
N
) with respect to smaller sample sizes has been established over the attributes scheme. The TNTVSS is matched with the TNT (n; c
N
, c
T
) of Vijayaraghavan and Soundararajan (1996), for the specified points on the OC curves, namely (p
1
, α) and (p
2
, β) and it is shown that the sample size of the variables scheme is much smaller than that of the attributes scheme. The TNT scheme with an unknown σ variables plan as the reference plan is also introduced along with the procedure of selection of the parameters. The method of designing the scheme based on the given AQL (Acceptable Quality level), α (producer's risk), LQL (Limiting Quality Level) and β (consumer's risk) is indicated. Among the class of TNTVSS which exists, for a given (p
1
,α) and (p
2
, β), a scheme, which will have a more steeper OC curve than that of any other scheme, is identified and given. |
| doi_str_mv | 10.1080/02664760500389582 |
| format | Article |
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σ
; k
T
, k
N
) is introduced, where n
σ
is the sample size under the reference plan, and k
T
and k
N
are the acceptance constants corresponding to tightened and normal plans respectively. The behaviour of OC curves of the TNTVSS (n
σ
; k
T
, k
N
) is studied. The efficiency of TNTVSS (n
σ
; k
T
, k
N
) with respect to smaller sample sizes has been established over the attributes scheme. The TNTVSS is matched with the TNT (n; c
N
, c
T
) of Vijayaraghavan and Soundararajan (1996), for the specified points on the OC curves, namely (p
1
, α) and (p
2
, β) and it is shown that the sample size of the variables scheme is much smaller than that of the attributes scheme. The TNT scheme with an unknown σ variables plan as the reference plan is also introduced along with the procedure of selection of the parameters. The method of designing the scheme based on the given AQL (Acceptable Quality level), α (producer's risk), LQL (Limiting Quality Level) and β (consumer's risk) is indicated. Among the class of TNTVSS which exists, for a given (p
1
,α) and (p
2
, β), a scheme, which will have a more steeper OC curve than that of any other scheme, is identified and given.</description><identifier>ISSN: 0266-4763</identifier><identifier>EISSN: 1360-0532</identifier><identifier>DOI: 10.1080/02664760500389582</identifier><language>eng</language><publisher>Abingdon: Routledge</publisher><subject>AQL ; consumer's risk ; Design of experiments ; LQL ; producer's risk ; Risk assessment ; Sample size ; Statistical analysis ; Statistical methods ; switching rules ; tightened-normal-tightened plan ; Variables plan</subject><ispartof>Journal of applied statistics, 2006-01, Vol.33 (1), p.101-111</ispartof><rights>Copyright Taylor & Francis Group, LLC 2006</rights><rights>Copyright Carfax Publishing Company Jan 2006</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c440t-8f385463c664a0b92171f816ef62eaacdc64c257f196c31519180fd7b274cd73</citedby><cites>FETCH-LOGICAL-c440t-8f385463c664a0b92171f816ef62eaacdc64c257f196c31519180fd7b274cd73</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,4008,4024,27923,27924,27925</link.rule.ids><backlink>$$Uhttp://econpapers.repec.org/article/tafjapsta/v_3a33_3ay_3a2006_3ai_3a1_3ap_3a101-111.htm$$DView record in RePEc$$Hfree_for_read</backlink></links><search><creatorcontrib>Muthuraj, D.</creatorcontrib><creatorcontrib>Senthilkumar, D.</creatorcontrib><title>Designing and construction of tightened-normal-tightened variables sampling scheme</title><title>Journal of applied statistics</title><description>The tightened-normal-tightened (TNT) attributes sampling scheme was devised by Calvin (1977). In this paper, a TNT Scheme with variables sampling plan as the reference plan, designated as TNTVSS (n
σ
; k
T
, k
N
) is introduced, where n
σ
is the sample size under the reference plan, and k
T
and k
N
are the acceptance constants corresponding to tightened and normal plans respectively. The behaviour of OC curves of the TNTVSS (n
σ
; k
T
, k
N
) is studied. The efficiency of TNTVSS (n
σ
; k
T
, k
N
) with respect to smaller sample sizes has been established over the attributes scheme. The TNTVSS is matched with the TNT (n; c
N
, c
T
) of Vijayaraghavan and Soundararajan (1996), for the specified points on the OC curves, namely (p
1
, α) and (p
2
, β) and it is shown that the sample size of the variables scheme is much smaller than that of the attributes scheme. The TNT scheme with an unknown σ variables plan as the reference plan is also introduced along with the procedure of selection of the parameters. The method of designing the scheme based on the given AQL (Acceptable Quality level), α (producer's risk), LQL (Limiting Quality Level) and β (consumer's risk) is indicated. Among the class of TNTVSS which exists, for a given (p
1
,α) and (p
2
, β), a scheme, which will have a more steeper OC curve than that of any other scheme, is identified and given.</description><subject>AQL</subject><subject>consumer's risk</subject><subject>Design of experiments</subject><subject>LQL</subject><subject>producer's risk</subject><subject>Risk assessment</subject><subject>Sample size</subject><subject>Statistical analysis</subject><subject>Statistical methods</subject><subject>switching rules</subject><subject>tightened-normal-tightened plan</subject><subject>Variables plan</subject><issn>0266-4763</issn><issn>1360-0532</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><sourceid>X2L</sourceid><recordid>eNqFUE1r3DAUFCWFbtL-gN5M727ek2xZC72EfIdAIOQutLK0q8WWXEmbZP99ZTbkEkoOowFpZvTeEPIT4TeCgFOgnDcdhxaAiWUr6BeyQMahhpbRI7KY3-siYN_IcUpbABDYsgV5vDDJrb3z60r5vtLBpxx3Orvgq2Cr7NabbLzpax_iqIb6_aJ6VtGp1WBSldQ4DXNC0hszmu_kq1VDMj_e-IQ8XV0-nd_U9w_Xt-dn97VuGsi1sEy0DWe6DK5gtaTYoRXIjeXUKKV7zRtN287ikmuGLS5RgO27Fe0a3XfshPw6xE4x_N2ZlOU27KIvP0qKrBOibF9EeBDpGFKKxsopulHFvUSQc3HyQ3HFc3fwRDMZ_W7Iym7VlLKSz5IpxsqxL6AAvJArwIJpZkCJiHKTxxLWHcKct3ODLyEOfcnaDyHaqLx26eMIMr_m4vzzqZP9f4t_OS2e-Q</recordid><startdate>20060101</startdate><enddate>20060101</enddate><creator>Muthuraj, D.</creator><creator>Senthilkumar, D.</creator><general>Routledge</general><general>Taylor and Francis Journals</general><general>Taylor & Francis Ltd</general><scope>DKI</scope><scope>X2L</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>H8D</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20060101</creationdate><title>Designing and construction of tightened-normal-tightened variables sampling scheme</title><author>Muthuraj, D. ; Senthilkumar, D.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c440t-8f385463c664a0b92171f816ef62eaacdc64c257f196c31519180fd7b274cd73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2006</creationdate><topic>AQL</topic><topic>consumer's risk</topic><topic>Design of experiments</topic><topic>LQL</topic><topic>producer's risk</topic><topic>Risk assessment</topic><topic>Sample size</topic><topic>Statistical analysis</topic><topic>Statistical methods</topic><topic>switching rules</topic><topic>tightened-normal-tightened plan</topic><topic>Variables plan</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Muthuraj, D.</creatorcontrib><creatorcontrib>Senthilkumar, D.</creatorcontrib><collection>RePEc IDEAS</collection><collection>RePEc</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Journal of applied statistics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Muthuraj, D.</au><au>Senthilkumar, D.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Designing and construction of tightened-normal-tightened variables sampling scheme</atitle><jtitle>Journal of applied statistics</jtitle><date>2006-01-01</date><risdate>2006</risdate><volume>33</volume><issue>1</issue><spage>101</spage><epage>111</epage><pages>101-111</pages><issn>0266-4763</issn><eissn>1360-0532</eissn><abstract>The tightened-normal-tightened (TNT) attributes sampling scheme was devised by Calvin (1977). In this paper, a TNT Scheme with variables sampling plan as the reference plan, designated as TNTVSS (n
σ
; k
T
, k
N
) is introduced, where n
σ
is the sample size under the reference plan, and k
T
and k
N
are the acceptance constants corresponding to tightened and normal plans respectively. The behaviour of OC curves of the TNTVSS (n
σ
; k
T
, k
N
) is studied. The efficiency of TNTVSS (n
σ
; k
T
, k
N
) with respect to smaller sample sizes has been established over the attributes scheme. The TNTVSS is matched with the TNT (n; c
N
, c
T
) of Vijayaraghavan and Soundararajan (1996), for the specified points on the OC curves, namely (p
1
, α) and (p
2
, β) and it is shown that the sample size of the variables scheme is much smaller than that of the attributes scheme. The TNT scheme with an unknown σ variables plan as the reference plan is also introduced along with the procedure of selection of the parameters. The method of designing the scheme based on the given AQL (Acceptable Quality level), α (producer's risk), LQL (Limiting Quality Level) and β (consumer's risk) is indicated. Among the class of TNTVSS which exists, for a given (p
1
,α) and (p
2
, β), a scheme, which will have a more steeper OC curve than that of any other scheme, is identified and given.</abstract><cop>Abingdon</cop><pub>Routledge</pub><doi>10.1080/02664760500389582</doi><tpages>11</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0266-4763 |
| ispartof | Journal of applied statistics, 2006-01, Vol.33 (1), p.101-111 |
| issn | 0266-4763 1360-0532 |
| language | eng |
| recordid | cdi_proquest_journals_213788360 |
| source | RePEc; Business Source Complete |
| subjects | AQL consumer's risk Design of experiments LQL producer's risk Risk assessment Sample size Statistical analysis Statistical methods switching rules tightened-normal-tightened plan Variables plan |
| title | Designing and construction of tightened-normal-tightened variables sampling scheme |
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