About: Orthogonal array

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Orthogonal array Goto Sponge NotDistinct Permalink

An Entity of Type : yago:Tract108673395, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)
QRcode icon

http://dbpedia.demo.openlinksw.com/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FOrthogonal_array&invfp=IFP_OFF&sas=SAME_AS_OFF

In mathematics, an orthogonal array is a "table" (array) whose entries come from a fixed finite set of symbols (typically, {1,2,...,n}), arranged in such a way that there is an integer t so that for every selection of t columns of the table, all ordered t-tuples of the symbols, formed by taking the entries in each row restricted to these columns, appear the same number of times. The number t is called the strength of the orthogonal array. Here is a simple example of an orthogonal array with symbol set {1,2} and strength 2:

Attributes	Values
rdf:type	yago:WikicatLatinSquares martial artist yago:GeographicalArea108574314 yago:Location100027167 yago:Object100002684 yago:PhysicalEntity100001930 yago:PublicSquare108619620 yago:Region108630985 yago:YagoGeoEntity yago:YagoLegalActorGeo yago:YagoPermanentlyLocatedEntity yago:Tract108673395
rdfs:label	Orthogonales Feld (de) 直交表 (ja) 직교 배열 (ko) Orthogonal array (en)
rdfs:comment	Orthogonale Felder (eng.: Orthogonal Arrays) sind Tabellen, die im Rahmen der statistischen Versuchsplanung zur Erstellung von Versuchsplänen verwendet werden. Ein orthogonales Feld (genauer gesagt ein orthogonales Feld mit festen Elementen) von -Elementen, bezeichnet mit ist eine -Matrix, deren Spalten die Eigenschaft haben, dass in jedem Spaltenpaar jedes der möglichen geordneten Elementpaare gleich oft vorkommt. (de) 조합론에서 직교 배열(直交配列, 영어: orthogonal array)은 좌표들의 부분 집합으로 제한하였을 때 모든 가능한 벡터들이 균등하게 분포되어 있는, 주어진 유한 집합 위의 벡터들의 유한 집합이다. (ko) 直交表（ちょっこうひょう）とは、どの2列をとっても、その水準のすべての組み合わせが同数回現れる配列(表)のことである。これを「その2列はバランスしている」あるいは「直交している」と呼ぶ。この性質を使って、実験計画法において因子と水準の割り付け表に用いられる。一般的な多元配置の実験では、一つの因子のみを変化させた条件で行うため、膨大な数の実験を行わなければならない。直交表で割り付けた実験は、複数の因子を変化させるが、どの因子・水準の組み合わせも同回数だけ実験するようにし、その因子の主効果を求められる。最小限の実験数に抑えられるという利点がある。直交表を用いる実験は、交互作用に重きをおかず、主効果のみの実験を行う目的の場合に適する。 (ja) In mathematics, an orthogonal array is a "table" (array) whose entries come from a fixed finite set of symbols (typically, {1,2,...,n}), arranged in such a way that there is an integer t so that for every selection of t columns of the table, all ordered t-tuples of the symbols, formed by taking the entries in each row restricted to these columns, appear the same number of times. The number t is called the strength of the orthogonal array. Here is a simple example of an orthogonal array with symbol set {1,2} and strength 2: (en)
dcterms:subject	Design of experiments Combinatorics Combinatorial design Latin squares
Wikipage page ID	17887653 (xsd:integer)
Wikipage revision ID	1118741875 (xsd:integer)
Link from a Wikipage to another Wikipage	Permutation Vector space Design of experiments User interface Performance test (assessment) Permutations Computer Cryptography Quasigroup Genichi Taguchi Graeco-Latin square Mutually orthogonal Latin squares Logic Combinatorial design Ordered pair C. R. Rao Design of experiments Transpose Hadamard matrix Latin hypercube sampling Latin square Linear code Combinatorics Experiment Finite field Combinatorial design Regression analysis Software systems Statistical System testing Coding theory Software testing Latin squares Indian Statistical Institute Information Secret sharing Secrecy Software system Factorial experiment Taguchi methods Tuples Damaraju Raghavarao Black box testing
Link from a Wikipage to an external page	http://support.sas.com/techsup/technote/ts723.html http://www.itl.nist.gov/div898/handbook/pri/section3/pri3323.htm https://archive.org/details/statisticsforexp00geor%7Curl-access=registration%7Cpublisher=John https://web.archive.org/web/20091207085058/http:/support.sas.com/documentation/cdl/en/qcug/59658/HTML/default/fac_details_sect23.htm
sameAs	Orthogonal array Orthogonal array Orthogonal array Orthogonal array Orthogonal array Orthogonal array Orthogonal array Orthogonal array
dbp:wikiPageUsesTemplate	dbt:NIST-PD dbt:Citation dbt:Citation_needed dbt:Cite_book dbt:Harvtxt dbt:Main dbt:Reflist dbt:Short_description dbt:Experimental_design
has abstract	Orthogonale Felder (eng.: Orthogonal Arrays) sind Tabellen, die im Rahmen der statistischen Versuchsplanung zur Erstellung von Versuchsplänen verwendet werden. Ein orthogonales Feld (genauer gesagt ein orthogonales Feld mit festen Elementen) von -Elementen, bezeichnet mit ist eine -Matrix, deren Spalten die Eigenschaft haben, dass in jedem Spaltenpaar jedes der möglichen geordneten Elementpaare gleich oft vorkommt. (de) In mathematics, an orthogonal array is a "table" (array) whose entries come from a fixed finite set of symbols (typically, {1,2,...,n}), arranged in such a way that there is an integer t so that for every selection of t columns of the table, all ordered t-tuples of the symbols, formed by taking the entries in each row restricted to these columns, appear the same number of times. The number t is called the strength of the orthogonal array. Here is a simple example of an orthogonal array with symbol set {1,2} and strength 2: Notice that the four ordered pairs (2-tuples) formed by the rows restricted to the first and third columns, namely (1,1), (2,1), (1,2) and (2,2), are all the possible ordered pairs of the two element set and each appears exactly once. The second and third columns would give, (1,1), (2,1), (2,2) and (1,2); again, all possible ordered pairs each appearing once. The same statement would hold had the first and second columns been used. This is thus an orthogonal array of strength two. Orthogonal arrays generalize, in a tabular form, the idea of mutually orthogonal Latin squares. These arrays have many connections to other combinatorial designs and have applications in the statistical design of experiments, coding theory, cryptography and various types of software testing. (en) 조합론에서 직교 배열(直交配列, 영어: orthogonal array)은 좌표들의 부분 집합으로 제한하였을 때 모든 가능한 벡터들이 균등하게 분포되어 있는, 주어진 유한 집합 위의 벡터들의 유한 집합이다. (ko) 直交表（ちょっこうひょう）とは、どの2列をとっても、その水準のすべての組み合わせが同数回現れる配列(表)のことである。これを「その2列はバランスしている」あるいは「直交している」と呼ぶ。この性質を使って、実験計画法において因子と水準の割り付け表に用いられる。一般的な多元配置の実験では、一つの因子のみを変化させた条件で行うため、膨大な数の実験を行わなければならない。直交表で割り付けた実験は、複数の因子を変化させるが、どの因子・水準の組み合わせも同回数だけ実験するようにし、その因子の主効果を求められる。最小限の実験数に抑えられるという利点がある。直交表を用いる実験は、交互作用に重きをおかず、主効果のみの実験を行う目的の場合に適する。 (ja)
gold:hypernym	T
prov:wasDerivedFrom	wikipedia-en:Orthogonal_array?oldid=1118741875&ns=0
page length (characters) of wiki page	20633 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Orthogonal_array
is Link from a Wikipage to another Wikipage of	Algebraic statistics Rita Zemach

Faceted Search & Find service v1.17_git139 as of Feb 29 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 67 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software