Knowledge Center Catalog

The interpretation of interactions in factorial experiments (Record no. 20010)

MARC details
000 -LEADER
fixed length control field 02396nab a22003017a 4500
001 - CONTROL NUMBER
control field G69390
003 - CONTROL NUMBER IDENTIFIER
control field MX-TxCIM
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20230106224810.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 121211b |||p||p||||||| |z||| |
022 ## - INTERNATIONAL STANDARD SERIAL NUMBER
International Standard Serial Number 0006-3444
022 ## - INTERNATIONAL STANDARD SERIAL NUMBER
International Standard Serial Number 1464-3510 (Online)
024 ## - OTHER STANDARD IDENTIFIER
Source of number or code https://doi.org/10.1093/biomet/39.1-2.65
040 ## - CATALOGING SOURCE
Original cataloging agency MX-TxCIM
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (RLIN)
Classification number (OCLC) (R) ; Classification number, CALL (RLIN) (NR) REP-591
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Williams, E.J.
9 (RLIN) 29602
245 14 - TITLE STATEMENT
Title The interpretation of interactions in factorial experiments
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Date of publication, distribution, etc. 1952.
Place of publication, distribution, etc. Oxford (United Kingdom) :
Name of publisher, distributor, etc. Oxford University Press,
340 ## - PHYSICAL MEDIUM
Material base and configuration Printed
520 ## - SUMMARY, ETC.
Summary, etc. Where the joint effects of two or more factors are not additive, a simple model is proposed for representing the effects. The effects of one factor are assumed to be proportional, rather than equal, at different levels of the other factors. The main effects of the first factor are given as weighted averages of the simple effects at the different levels of the other factors, the weights being the estimated factors of proportionality. The weights are given as the latent vector of a matrix of sums of squares and products corresponding to the largest latent root of the matrix; the sian of squares for the weighted main effect is a multiple of this latent root, and the other latent roots correspond to a partition of the interaction sum of squares. The analysis is closely related to the canonical analysis of a set of variates. Tests of significance of (a) the residual interactions and (b) the adequacy of a proposed set of weights are discussed. For the case where the matrix has only two non-vanishing latent roots, the approach of the joint distribution of the roots to its limiting form is discussed. The joint probability density is expanded as a series of Bessel functions of imaginary argument. Asymptotic formulae for the moments and product-moments of the roots are derived. Exact tests for the adequacy of a proposed set of weights, when there are only two non-vanishing latent roots, are presented. The methods of analysis are illustrated with a numerical example.
546 ## - LANGUAGE NOTE
Language note Text in English
591 ## - CATALOGING NOTES
Affiliation Oxford
595 ## - COLLECTION
Collection Reprints Collection
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Source of heading or term AGROVOC
9 (RLIN) 27714
Topical term or geographic name as entry element Factorial analysis
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Source of heading or term AGROVOC
9 (RLIN) 2624
Topical term or geographic name as entry element Statistical methods
773 0# - HOST ITEM ENTRY
Title Biometrika
Related parts v. 39, no. 1-2, p. 65-81
Place, publisher, and date of publication Oxford (United Kingdom) : Oxford University Press, 1952.
Record control number G76220
International Standard Serial Number 0006-3444
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Article
Source of classification or shelving scheme Dewey Decimal Classification
Holdings
Date last seen Total Checkouts Full call number Price effective from Koha item type Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Withdrawn status Home library Current library Date acquired
06/29/2017   REP-591 06/29/2017 Article Not Lost Dewey Decimal Classification     Reprints Collection   CIMMYT Knowledge Center: John Woolston Library CIMMYT Knowledge Center: John Woolston Library 06/29/2017

International Maize and Wheat Improvement Center (CIMMYT) © Copyright 2021.
Carretera México-Veracruz. Km. 45, El Batán, Texcoco, México, C.P. 56237.
If you have any question, please contact us at
CIMMYT-Knowledge-Center@cgiar.org