On a construction procedure for split-block-plot designs based on the Khatri–Rao product of incidence matrices
| cris.virtual.author-orcid | 0000-0003-2089-9247 | |
| cris.virtual.author-orcid | 0000-0003-1862-5095 | |
| cris.virtualsource.author-orcid | 919f3ec8-d5e5-4ffd-8121-079d9385bfe3 | |
| cris.virtualsource.author-orcid | d57650b5-f903-41cc-af19-35993c758994 | |
| dc.abstract.en | The construction of incomplete split-block-plot (SBP) designs for three-factor experiments is investigated. A semi-Kronecker (Khatri–Rao) product of matrices is used in the construction procedure. With this method some generated designs are obtained where column treatments and subplot treatments are allocated in balanced square lattice designs, while row treatments are in a randomized complete block design. Experiments with an orthogonal block structure are considered. In this paper we consider designs which are generally balanced. This allows us to give the stratum efficiency factors for treatment combination contrasts in the proposed split-block-plot designs. | |
| dc.affiliation | Wydział Rolnictwa, Ogrodnictwa i Bioinżynierii | |
| dc.affiliation.institute | Katedra Metod Matematycznych i Statystycznych | |
| dc.contributor.author | Ambroży-Deręgowska, Katarzyna | |
| dc.contributor.author | Mejza, Iwona | |
| dc.date.access | 2025-10-30 | |
| dc.date.accessioned | 2025-10-31T07:49:35Z | |
| dc.date.available | 2025-10-31T07:49:35Z | |
| dc.date.copyright | 2022-06-30 | |
| dc.date.issued | 2022 | |
| dc.description.abstract | <jats:title>Summary</jats:title> <jats:p>The construction of incomplete split-block-plot (SBP) designs for three-factor experiments is investigated. A semi-Kronecker (Khatri–Rao) product of matrices is used in the construction procedure. With this method some generated designs are obtained where column treatments and subplot treatments are allocated in balanced square lattice designs, while row treatments are in a randomized complete block design. Experiments with an orthogonal block structure are considered. In this paper we consider designs which are generally balanced. This allows us to give the stratum efficiency factors for treatment combination contrasts in the proposed split-block-plot designs.</jats:p> | |
| dc.description.accesstime | at_publication | |
| dc.description.bibliography | bibliogr. | |
| dc.description.finance | publication_nocost | |
| dc.description.financecost | 0,00 | |
| dc.description.number | 1 | |
| dc.description.points | 20 | |
| dc.description.version | final_published | |
| dc.description.volume | 59 | |
| dc.identifier.doi | 10.2478/bile-2022-0005 | |
| dc.identifier.eissn | 2199-577X | |
| dc.identifier.issn | 1896-3811 | |
| dc.identifier.uri | https://sciencerep.up.poznan.pl/handle/item/5634 | |
| dc.identifier.weblink | https://reference-global.com/article/10.2478/bile-2022-0005 | |
| dc.language | en | |
| dc.pbn.affiliation | agriculture and horticulture | |
| dc.relation.ispartof | Biometrical Letters | |
| dc.relation.pages | 55-63 | |
| dc.rights | CC-BY-NC-ND | |
| dc.sciencecloud | nosend | |
| dc.share.type | OPEN_JOURNAL | |
| dc.subject.en | generally balanced designs | |
| dc.subject.en | semi-Kronecker product of matrices | |
| dc.subject.en | square lattice designs | |
| dc.subject.en | split-block-plot designs | |
| dc.subject.en | stratum efficiency factors | |
| dc.title | On a construction procedure for split-block-plot designs based on the Khatri–Rao product of incidence matrices | |
| dc.type | JournalArticle | |
| dspace.entity.type | Publication | |
| oaire.citation.issue | 1 | |
| oaire.citation.volume | 59 |