Volume 20 No 13 (2022)
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Construction Method Right Angular 3072 Association Schematic Partial Incomplete Randomized Block Design
Muhsinil Haq , Georgina Maria Tinungki , Nirwan
Abstract
Partially Balanced Incomplete Randomized Group Design (RAKTLSP) is a design with v treatments arranged into b groups
with each group consisting of k treatments (k<v) and there are treatment pairs that appear together in the same group λ_m
times. The purpose of this study is to be able to construct an experimental design plan and to be able to carry out ANOVA
preparation, follow-up tests, testing model assumptions from the Right Angular Association scheme Partial Incomplete
Randomized Block Design. This study uses the Right Angular association scheme which is a 4-class association scheme used
to determine the first, second, third and fourth associations of each treatment. Based on the association formed, the number
of treatment pairs that appear in each group will be obtained (λ_m, m=1,…,4). The test that was carried out was an influence
test on the treatment because only the treatment was important where the treatment was adjusted (adjusted). The
assumptions needed are the assumption of residual normality, equality of variance and independence with the Tukey test
as a follow-up test. The data used as an example of application in this study is data in agriculture by observing the effect of
the type of hebricide on weeds, which consists of three types of herbicides with 4 dose levels, namely the single herbicide
Bentazon 400 g.L⁻¹ and MCPA 60 g.L⁻¹ (2; 1; 0.5; 0.25; L.ha⁻¹), mixed herbicide Bentazon + MCPA 460 g.L⁻¹ (2.5; 1.25; 0.625;
0.3215; L.ha⁻¹). The results of the Right Angular Association scheme, Partially Balanced Incomplete Randomized Block Design
show that the type of herbicide has an effect on the level of damage to weeds. By using this method it can be seen that the
recommended hebricide is type J, namely the single active ingredient MCPA 60 g.L⁻¹ (1 ; L.ha⁻¹)
Keywords
RAKTLSP, Right Angular Association, Tukey's Test, Normality, Equality of Variances, Independence
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