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Incorporating Overlap Effects from Neighbouring Units into Response Surface Models
Author(s) -
Draper Norman R.,
Guttman Irwin
Publication year - 1980
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.2307/2986297
Subject(s) - surface (topology) , diagonal , mathematics , geometry , unit (ring theory) , diagonally dominant matrix , geology , pure mathematics , mathematics education , invertible matrix
S ummary A general model is suggested for response surface problems in which it is anticipated that the response on a particular unit will be affected by “overlap” effects from neighbouring units. Two numerical examples, one with constructed data, and one with Rothamsted data on mildew control, illustrate use of the model. In both examples, it is assumed that only plots that are physically adjacent “horizontally, vertically, or diagonally” mutually affect each other. In general, more or less complicated assumptions can be accommodated.