I have stated before that ANOVA is a form of linear regression. Suppose I wanted
ID: 3173844 • Letter: I
Question
I have stated before that ANOVA is a form of linear regression. Suppose I wanted to examine the study habits of college students. I conduct a survey, and assess the average time spent studying (per night, in hours) of students. I want to see if there is a difference in mean study time between any of the grades (Freshmen, Sophmore, Junior, Senior), and I decide to use an ANOVA to test this. In other words, I want to see if grade-level is related to time spent studying- do certain grades stuy more than others? Think about this problem in the linear regression setting- what would the independent and dependent variables be? Give both their name and type. You do not have to do any calculation for this question. Do not worry about post hoc testing.
( 2nd opinion ...please explain to further my understanding on linear regression and categorical variables. Thank you.)
Explanation / Answer
The main variable of interest is the average time spent studying per night of students and the purpose is to evaluate for this average time across the grades of Freshmen, Sophmore, Junior, Senior. The later variable can be represented as a factor variable or group variable. Since the average time spent depends on the grade, the average time spent is the dependent variable while the factor variable is the independent variable.
Independent Variable: Grade indicator as Freshmen, Sophmore, Junior, Senior
Dependent Variable: Average time spent by a student during the night.