Question

Which of the following is an example of a two-way ANOVA test? a.) Comparing the number of hours of sleep for freshman, sophomores, juniors, and seniors. b.) Analyzing the number of hours that freshman, sophomores, juniors, and seniors study in a semester as well as the number of hours of sleep each group gets at night. c.) Studying the number of hours of sleep for freshmen, sophomores, and juniors. d.) Comparing the number of hours that freshman and seniors study during a semester.

Answer 1

b.) Analyzing the number of hours that freshman, sophomores, juniors, and seniors study in a semester as well as the number of hours of sleep each group gets at night.

Explanation:

Analysis of Variance could be referred to as a form of statistical test which is used to evaluate the average or mean changes of a continous dependent variable based on the different combination of the input levels of TWO independent or predictor variables. From the options given, the option selected, the analysis is based on TWO independent, predictor variables which are hours of study in a semester and the number of sleeping hours for 3 different levels or categorical groups of students (Freshman, sophomore, Junior and Seniors) get at night.

Since, we can identify two distinct independent variables, then it is fit for analysis using a 2 - way ANOVA.