Universally optimal balanced block designs for interference model View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2022-06-04

AUTHORS

Akram Fakhari-Esferizi, Saeid Pooladsaz

ABSTRACT

The interference model has been widely used and studied in block designs where the treatment in a particular plot effects on ones in its neighbor plots. There are many experiments specially in agricultre that block size (k) is greater than the number of treatment (t). If k>t\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k>t$$\end{document}, the universally optimal designs under the interference models are usually difficult to obtain. In this paper, we consider an interference model with equal left- and right-neighbor effects for uncorrelated errors when k>t\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k>t$$\end{document}. Based on Kushner’s method, we obtain the universally optimal designs on the class of circular block designs. We also present some methods to construct these designs. Then, we generalize our results for one-sided interference models. More... »

PAGES

1049-1061

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00184-022-00870-5

DOI

http://dx.doi.org/10.1007/s00184-022-00870-5

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1148435665


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0104", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Statistics", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Department of Mathematical Sciences, Isfahan University of Technology, 84156-83111, Isfahan, Iran", 
          "id": "http://www.grid.ac/institutes/grid.411751.7", 
          "name": [
            "Department of Mathematical Sciences, Isfahan University of Technology, 84156-83111, Isfahan, Iran"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Fakhari-Esferizi", 
        "givenName": "Akram", 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Department of Mathematical Sciences, Isfahan University of Technology, 84156-83111, Isfahan, Iran", 
          "id": "http://www.grid.ac/institutes/grid.411751.7", 
          "name": [
            "Department of Mathematical Sciences, Isfahan University of Technology, 84156-83111, Isfahan, Iran"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Pooladsaz", 
        "givenName": "Saeid", 
        "id": "sg:person.013256111455.02", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013256111455.02"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/s11425-009-0063-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1017163645", 
          "https://doi.org/10.1007/s11425-009-0063-1"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s001840400331", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1029242134", 
          "https://doi.org/10.1007/s001840400331"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s001840400321", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1003987994", 
          "https://doi.org/10.1007/s001840400321"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11425-007-0035-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000454880", 
          "https://doi.org/10.1007/s11425-007-0035-2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00184-006-0082-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1014592824", 
          "https://doi.org/10.1007/s00184-006-0082-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s001840200205", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1027440655", 
          "https://doi.org/10.1007/s001840200205"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1080/15598608.2008.10411894", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1028115294", 
          "https://doi.org/10.1080/15598608.2008.10411894"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2022-06-04", 
    "datePublishedReg": "2022-06-04", 
    "description": "The interference model has been widely used and studied in block designs where the treatment in a particular plot effects on ones in its neighbor plots. There are many experiments specially in agricultre that block size (k) is greater than the number of treatment (t). If k>t\\documentclass[12pt]{minimal}\n\t\t\t\t\\usepackage{amsmath}\n\t\t\t\t\\usepackage{wasysym}\n\t\t\t\t\\usepackage{amsfonts}\n\t\t\t\t\\usepackage{amssymb}\n\t\t\t\t\\usepackage{amsbsy}\n\t\t\t\t\\usepackage{mathrsfs}\n\t\t\t\t\\usepackage{upgreek}\n\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\n\t\t\t\t\\begin{document}$$k>t$$\\end{document}, the universally optimal designs under the interference models are usually difficult to obtain. In this paper, we consider an interference model with equal left- and right-neighbor effects for uncorrelated errors when k>t\\documentclass[12pt]{minimal}\n\t\t\t\t\\usepackage{amsmath}\n\t\t\t\t\\usepackage{wasysym}\n\t\t\t\t\\usepackage{amsfonts}\n\t\t\t\t\\usepackage{amssymb}\n\t\t\t\t\\usepackage{amsbsy}\n\t\t\t\t\\usepackage{mathrsfs}\n\t\t\t\t\\usepackage{upgreek}\n\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\n\t\t\t\t\\begin{document}$$k>t$$\\end{document}. Based on Kushner\u2019s method, we obtain the universally optimal designs on the class of circular block designs. We also present some methods to construct these designs. Then, we generalize our results for one-sided interference models.", 
    "genre": "article", 
    "id": "sg:pub.10.1007/s00184-022-00870-5", 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1041634", 
        "issn": [
          "0026-1335", 
          "1435-926X"
        ], 
        "name": "Metrika", 
        "publisher": "Springer Nature", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "8", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "85"
      }
    ], 
    "keywords": [
      "interference model", 
      "optimal design", 
      "uncorrelated errors", 
      "Kushner\u2019s method", 
      "balanced block design", 
      "model", 
      "block size", 
      "error", 
      "class", 
      "design", 
      "plot effects", 
      "one", 
      "number", 
      "experiments", 
      "results", 
      "size", 
      "effect", 
      "plots", 
      "number of treatments", 
      "block design", 
      "treatment", 
      "method", 
      "paper", 
      "circular block designs"
    ], 
    "name": "Universally optimal balanced block designs for interference model", 
    "pagination": "1049-1061", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1148435665"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s00184-022-00870-5"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s00184-022-00870-5", 
      "https://app.dimensions.ai/details/publication/pub.1148435665"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2022-11-24T21:09", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20221124/entities/gbq_results/article/article_923.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://doi.org/10.1007/s00184-022-00870-5"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s00184-022-00870-5'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s00184-022-00870-5'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s00184-022-00870-5'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s00184-022-00870-5'


 

This table displays all metadata directly associated to this object as RDF triples.

115 TRIPLES      21 PREDICATES      55 URIs      40 LITERALS      6 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s00184-022-00870-5 schema:about anzsrc-for:01
2 anzsrc-for:0104
3 schema:author N0cf2892bfe4040839feb47f2e6ac9985
4 schema:citation sg:pub.10.1007/s00184-006-0082-7
5 sg:pub.10.1007/s001840200205
6 sg:pub.10.1007/s001840400321
7 sg:pub.10.1007/s001840400331
8 sg:pub.10.1007/s11425-007-0035-2
9 sg:pub.10.1007/s11425-009-0063-1
10 sg:pub.10.1080/15598608.2008.10411894
11 schema:datePublished 2022-06-04
12 schema:datePublishedReg 2022-06-04
13 schema:description The interference model has been widely used and studied in block designs where the treatment in a particular plot effects on ones in its neighbor plots. There are many experiments specially in agricultre that block size (k) is greater than the number of treatment (t). If k>t\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k>t$$\end{document}, the universally optimal designs under the interference models are usually difficult to obtain. In this paper, we consider an interference model with equal left- and right-neighbor effects for uncorrelated errors when k>t\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k>t$$\end{document}. Based on Kushner’s method, we obtain the universally optimal designs on the class of circular block designs. We also present some methods to construct these designs. Then, we generalize our results for one-sided interference models.
14 schema:genre article
15 schema:isAccessibleForFree false
16 schema:isPartOf Na2c7fc8eec754d14b471fa29eea7f575
17 Nce41d0c2bb9d49798977eaef8aeb7d28
18 sg:journal.1041634
19 schema:keywords Kushner’s method
20 balanced block design
21 block design
22 block size
23 circular block designs
24 class
25 design
26 effect
27 error
28 experiments
29 interference model
30 method
31 model
32 number
33 number of treatments
34 one
35 optimal design
36 paper
37 plot effects
38 plots
39 results
40 size
41 treatment
42 uncorrelated errors
43 schema:name Universally optimal balanced block designs for interference model
44 schema:pagination 1049-1061
45 schema:productId N2dbb5250dfa44951a5316c7770ca1763
46 Nf113c7bea0c6494b8e688071163b1b23
47 schema:sameAs https://app.dimensions.ai/details/publication/pub.1148435665
48 https://doi.org/10.1007/s00184-022-00870-5
49 schema:sdDatePublished 2022-11-24T21:09
50 schema:sdLicense https://scigraph.springernature.com/explorer/license/
51 schema:sdPublisher Nb817c274cf2f4b4292e63d1bb4d6d060
52 schema:url https://doi.org/10.1007/s00184-022-00870-5
53 sgo:license sg:explorer/license/
54 sgo:sdDataset articles
55 rdf:type schema:ScholarlyArticle
56 N0cf2892bfe4040839feb47f2e6ac9985 rdf:first N207ee7c35c5b416fa4aec6e6851693da
57 rdf:rest Ncc96e2c8a3b14d2888d9fd7b93e10302
58 N207ee7c35c5b416fa4aec6e6851693da schema:affiliation grid-institutes:grid.411751.7
59 schema:familyName Fakhari-Esferizi
60 schema:givenName Akram
61 rdf:type schema:Person
62 N2dbb5250dfa44951a5316c7770ca1763 schema:name dimensions_id
63 schema:value pub.1148435665
64 rdf:type schema:PropertyValue
65 Na2c7fc8eec754d14b471fa29eea7f575 schema:volumeNumber 85
66 rdf:type schema:PublicationVolume
67 Nb817c274cf2f4b4292e63d1bb4d6d060 schema:name Springer Nature - SN SciGraph project
68 rdf:type schema:Organization
69 Ncc96e2c8a3b14d2888d9fd7b93e10302 rdf:first sg:person.013256111455.02
70 rdf:rest rdf:nil
71 Nce41d0c2bb9d49798977eaef8aeb7d28 schema:issueNumber 8
72 rdf:type schema:PublicationIssue
73 Nf113c7bea0c6494b8e688071163b1b23 schema:name doi
74 schema:value 10.1007/s00184-022-00870-5
75 rdf:type schema:PropertyValue
76 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
77 schema:name Mathematical Sciences
78 rdf:type schema:DefinedTerm
79 anzsrc-for:0104 schema:inDefinedTermSet anzsrc-for:
80 schema:name Statistics
81 rdf:type schema:DefinedTerm
82 sg:journal.1041634 schema:issn 0026-1335
83 1435-926X
84 schema:name Metrika
85 schema:publisher Springer Nature
86 rdf:type schema:Periodical
87 sg:person.013256111455.02 schema:affiliation grid-institutes:grid.411751.7
88 schema:familyName Pooladsaz
89 schema:givenName Saeid
90 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013256111455.02
91 rdf:type schema:Person
92 sg:pub.10.1007/s00184-006-0082-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014592824
93 https://doi.org/10.1007/s00184-006-0082-7
94 rdf:type schema:CreativeWork
95 sg:pub.10.1007/s001840200205 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027440655
96 https://doi.org/10.1007/s001840200205
97 rdf:type schema:CreativeWork
98 sg:pub.10.1007/s001840400321 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003987994
99 https://doi.org/10.1007/s001840400321
100 rdf:type schema:CreativeWork
101 sg:pub.10.1007/s001840400331 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029242134
102 https://doi.org/10.1007/s001840400331
103 rdf:type schema:CreativeWork
104 sg:pub.10.1007/s11425-007-0035-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000454880
105 https://doi.org/10.1007/s11425-007-0035-2
106 rdf:type schema:CreativeWork
107 sg:pub.10.1007/s11425-009-0063-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017163645
108 https://doi.org/10.1007/s11425-009-0063-1
109 rdf:type schema:CreativeWork
110 sg:pub.10.1080/15598608.2008.10411894 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028115294
111 https://doi.org/10.1080/15598608.2008.10411894
112 rdf:type schema:CreativeWork
113 grid-institutes:grid.411751.7 schema:alternateName Department of Mathematical Sciences, Isfahan University of Technology, 84156-83111, Isfahan, Iran
114 schema:name Department of Mathematical Sciences, Isfahan University of Technology, 84156-83111, Isfahan, Iran
115 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...