To determine Design an experiment to examine the best pesticide to control crop damage. Explanation Given info: Researcher wants to examine the best way to control the crop damage. For this researcher decided to compare two different pesticides in small plots of corns by checking the number of beetle larvae on each plant after few days of the application of pesticides. Justification: Answers may vary; one of the possible answers is given below: Experimental study : In a designed experimental study, researchers allocate individuals to a certain group under study and change the values of an explanatory variable intentionally, after which, the values of the response variable for each group is recorded. Here, the entire corn plot of the study has to be divided into three parts and each part of the plot is randomly assigned to one of three treatments. Where one treatment is pesticide A, the second treatment is pesticide B and the third treatment is no pesticide. Group of plants of the plot receiving each level of treatment are kept under consideration after giving the required treatment for few days and the effectiveness of treatment is observed by recording the number of beetle larvae on each plant. There is an attempt to influence the subject as the value of explanatory variable is influenced and controlled by researcher under study. Hence, the given study is a designed experiment. Experimental units : An experimental unit in an experiment is the object or person or any other well-defined item on which, the explanatory variable or treatment under the study is applied. A human experimental unit is often referred to as a ‘subject’, which is analogous to an ‘individual’ in case of a survey. Subjects : An experimental unit in an experiment is the object or person or any other well-defined item on which, the explanatory variable or treatment under the study is applied. A human experimental unit is often referred to as a ‘subject’, which is analogous to an ‘individual’ in case of a survey. The investigator selects a small plot of corn for the experiment. Hence, the subjects are the plants of the small plot of corn. Factor : A factor is the explanatory variable in an experiment, the effect of which on the response variable is of importance in the experiment. In an experiment, researchers manipulate each factor at various levels to study the effects on the response variable. In the given experiment, ‘pesticide’ affects the plants in giving number of beetle larvae. Thus, ‘pesticide’ is the fixed factor in the experiment. Levels: In an experimental design the results of the outcomes of the fixed factor are the levels of the experimental design. The experiment is conducted by assigning 3 levels of ‘pesticide’ to the 3 parts of the corn plot. Thus, the number of levels of factor is 3, one is pesticide A, the second one is pesticide B and the third one is no pesticide. Treatment : A treatment in an experiment is a combination of the values of the various levels of the ‘explanatory variables’ or ‘factors’ in an experiment. The effects of the various treatments on the experimental units is of interest in an experiment. In the given experiment, there is one factor with three levels...

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Author: DeVeaux

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Chapter 12, Problem 57E

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