Abstract

This research proposes a simplified exact approach based on the general linear model for solving the K × K Latin square design (LSD) with one replicate and one missing value, given the lack of ready-made mathematical formulas for the sub-variance. Under the proposed scheme, the effects of the potential variable were determined by means of the regression sums of squares under the full and reduced treatment models. The mathematical expressions could be applied to the LSD with one missing value of any order. Moreover, the treatment, row and column sums of squares are unbiased.

Details

Title
One missing value problem in Latin square design of any order: Exact analysis of variance
Author
Kittiwat Sirikasemsuk 1   VIAFID ORCID Logo  ; Leerojanaprapa, Kanogkan 2 

1  Faculty of Engineering, Department of Industrial Engineering, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, Thailand 
2  Faculty of Science, Statistics Department, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, Thailand 
Publication year
2017
Publication date
Dec 2017
Publisher
Taylor & Francis Ltd.
e-ISSN
23311916
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1080/23311916.2017.1411222
ProQuest document ID
2012877882
Copyright
© 2017 The Author(s). This open access article is distributed under a Creative Commons Attribution (CC-BY) 4.0 license. This work is licensed under the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.