A thesis Submitted to The Council of the College of Administration and Economics at the University of Karbala In Partial Fulfillment of the Requirements for the Degree of Master of Statistics

By
Talib Kareem Abood Al – Shabani
Supervised by
Prof. Dr. Awad K.  AL-Khaledi
Prof. Dr. Basheer  A. Al- Alwani

Abstruct
Statistics is one of the most prominent sciences to express the relations between the variables in the wide applied fields, through the actual experiments that play a large role in building the cultural edifice of humanity as a method of advanced scientific methods that contribute to the process of economic growth.

The aim of this thesis is to study the effect of two factors (oxyin, magnetized water) on root formation of mung bean plant.

The experiments were conducted in the Department of Life Sciences – college of Science – University of Babylon for the period from 16/10/2017 to 2/11/2017 according to factorial  design  3 × 3 × 2 and replicates 3 times, each replica includes four experimental units according to the completely random block design.

Oxyin was used with two concentrations of 0 (0.001M) , magnetized water with three concentrations (1000G, 2000G, 3000G) and Biozyme  with three concentrations (0.1%, 0.5%, 0.9%).

The analysis of variance was performed to determine the effect of each factor on the response, as well as the effect of the factors’ interactions on the response

The results showed a significant effect of the three factors on the response. At the same time, the two-factor interaction had a significant effect on the response, while the triangular interaction had no significant effect on the response.

Data were analyzed in order to calculate the effects of orthonormal contrasts of each factor and the effects of the interaction of these orthonormal contrasts (variance analysis of orthonormal contrasts)

The results showed that there was a significant effect for some of these orthonormal contrasts (and interaction of these orthonormal contrasts), while the other (and their interaction) had no significant effect on the response, as shown in the thesis layout.

Multivariate testing was also performed to determine which averages caused these significant differences using the Lsd test for factor levels as well as bilateral and trilateral interactions between levels of these factors.

The results showed that there were significant differences between the response averages for all levels of magnetized water and the first level (1000G) gave the highest number of roots (33 roots per plant)

The test showed significant differences between the response averages for the interaction of the oxygen and magnetized levels. The second level reaction of Oxyin (0.001M) with the first level of magnetized water gave the highest number of roots (46.64 roots per plant).

The test showed that there were significant differences between the response averages due to the reaction of Oxyin and the Biozyme. The reaction of the second level of Oxyin (0.001M) with the second level of the Biozyme nutrient gave the highest number of roots (40 roots per plant).

The test also showed significant differences between the response averages due to the magnetized water and the Biozyme interaction. and the first level reaction of magnetized water (1000 Guss) with the second level of the Biozyme nutrient gave the highest root number (35 root per plant).

The test showed significant differences due to Oxyin, Biozyme  nutrient and magnetized water. Oxygen reaction (0.001M), magnetized water (1000g), and Biozyme feed (0.5%) gave the highest number of roots (49.6 root per plant).

The test showed no significant differences between the three blocks.

The study also included the estimation of the linear equation that links the number of roots of the plant and the orthonormal contrasts that’s belongs to the levels of the three factors involved in the experiment. The linear relationship between the number of roots and the levels of each factor was estimated separately and the degree of the equation was determined by the test of the lack of fit.