Comparison of Methods of Estimating Variance
Components in Dual Channel Microarray Applied in
Split-Plot Designs

Ifeoma Ogochukwu Ude; Abimibola Victoria Oladugba; Uchenna Charity Onwuamaeze; Oluchukwu Chukwuemeka Asogwa

doi:https://doi.org/10.14445/22315373/IJMTT-V69I7P504

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 69 | Issue 7 | Year 2023 | Article Id. IJMTT-V69I7P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I7P504

Comparison of Methods of Estimating Variance Components in Dual Channel Microarray Applied in Split-Plot Designs

Ifeoma Ogochukwu Ude, Abimibola Victoria Oladugba, Uchenna Charity Onwuamaeze, Oluchukwu Chukwuemeka Asogwa

Received	Revised	Accepted	Published
02 Jun 2023	05 Jul 2023	17 Jul 2023	31 Jul 2023

Citation :

Ifeoma Ogochukwu Ude, Abimibola Victoria Oladugba, Uchenna Charity Onwuamaeze, Oluchukwu Chukwuemeka Asogwa, "Comparison of Methods of Estimating Variance Components in Dual Channel Microarray Applied in Split-Plot Designs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 7, pp. 32-48, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I7P504

Abstract

The quality of estimation of variance components depends on the design used as well as on the unknown values of the variance components. In this article, three designs (split-plot design with the whole-plot arranged in complete randomized design and sub-plot arranged in randomized complete block design (SPD (CRD, RCBD), split-plot design with the whole-plot arranged in complete randomized design and the sub-plot arranged in Latin square design (SPD (CRD, LSD), and split-plot design with the whole-plot arranged in Latin square design and sub-plot arranged in randomized complete block design (SPD (LSD, RCBD)) for assessing gene expression in dual channel microarray were evaluated and compared. Three methods of sample pairing (vertical loop method (design A), cross loop method (design B) and horizontal loop method (design C)) in dual channel microarray applied on split-plot designs for obtaining variance components was used for the comparison, in order to ascertain which method gives the minimal variance components for the effects of interest. The results showed that design A had the least variance for comparing all the treatment effects except for the whole-plot treatment on SPD (CRD, RCBD), design C had the least variance for comparing all the treatment effects except for the whole-plot treatment on SPD (CRD, LSD), and design C had the least variance for comparing all the treatment effects except for the column treatment on SPD (LSD, RCBD).

Keywords

Microarray experiment, Dual channel microarray, Split plot design, Variance components

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