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User1865345
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The significance of two categorical variables on students' scores

I am analysing a set of students' scores on a Maths test.

My data set includes 41 students. I have the students' marks on each question of the test. I have the gender of each student. I also have whether each student studies Physics or not.

The first five rows of my data set:

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I am particularly interesting in students' performance on question number 9. The question carries a maximum of ten marks.

Boys earned on average 2 marks more than girls on this question. Students who study Physics earned on average 1.9 marks more than those who don't study Physics.

20 boys study Physics and 9 girls study Physics.

I want to know whether gender had a significant effect on students' scores on question 9, or whether the difference in boys' and girls' average scores is driven by the fact that more boys study Physics.

Is there a test that I can perform?

(My sample size may be too small at the moment, but more students will be sitting the test in future, so my data set will grow.)

Malkin
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