Evaluating Popular Statistical Properties of Incomplete Block Designs: A MATLAB Program Approach

Emmanuel Ikechukwu Mba, Polycarp Emeka Chigbu and Eugene Chijindu Ukaegbu
Additional contact information
Emmanuel Ikechukwu Mba: Department of Statistics, University of Nigeria, Nsukka 410001, Nigeria
Polycarp Emeka Chigbu: Department of Statistics, University of Nigeria, Nsukka 410001, Nigeria
Eugene Chijindu Ukaegbu: Department of Statistics, University of Nigeria, Nsukka 410001, Nigeria

Mathematics, 2021, vol. 9, issue 11, 1-12

Abstract: Evaluating the statistical properties of a semi-Latin square, and in general, an incomplete block design, is vital in determining the usefulness of the design for experimentation. Improving the procedures for obtaining these statistical properties has been the subject of some research studies and software developments. Many available statistical software that evaluate incomplete block designs do so at the level of analysis of variance but not for the popular A- , D -, E-, and MV -efficiency properties of these designs to determine their adequacy for experimentation. This study presents a program written in the MATLAB environment using MATLAB codes and syntaxes which is capable of computing the A- , D -, E-, and MV -efficiency properties of any n × n / k semi-Latin square and any incomplete block design via their incidence matrices, where N is the number of rows and columns and k is the number of plots. The only input required for the program to compute the four efficiency criteria is the incidence matrix of the incomplete block design. The incidence matrix is the binary representation of an incomplete block design. The program automatically generates the efficiency values of the design once the incidence matrix has been provided, as shown in the examples.

Keywords: canonical efficiency factors; incidence matrix; information matrix; MATLAB codes and syntaxes; simple contrasts (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/11/1281/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/11/1281/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:11:p:1281-:d:567912

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().