An experiment is planned to compare three types of schools—public, private nonparochial, and parochial—all with respect to the problem solving in mathematics abilities of freshmen engineering. The researcher selects two large cities in each of six provinces of Davao region for the study. In each province, the researcher randomly selects one school of each of the three types and randomly selects a single freshmen class within each school. The scores on a standardized test are recorded for each of 20 students in each classroom. The researcher is concerned about differences in family income levels among the 30 schools, so she obtains the family income for each of the students who participated in the study. a. Identify the important features of the design. b. Identify each of the following components of the experimental design. i. factors ii. factor levels iii. blocks iv. experimental unit v. measurement unit vi. replications vii. treatments
An experiment is planned to compare three types of schools—public, private nonparochial, and parochial—all with respect to the problem solving in mathematics abilities of freshmen engineering. The researcher selects two large cities in each of six provinces of Davao region for the study. In each province, the researcher randomly selects one school of each of the three types and randomly selects a single freshmen class within each school. The scores on a standardized test are recorded for each of 20 students in each classroom. The researcher is concerned about differences in family income levels among the 30 schools, so she obtains the family income for each of the students who participated in the study.
a. Identify the important features of the design.
b. Identify each of the following components of the experimental design.
i. factors
ii. factor levels
iii. blocks
iv. experimental unit
v. measurement unit
vi. replications
vii. treatments
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