I hope you can help me with my simple inquiry about the two variables: teachers competence and students' performance. I know I can test the relationship between the two. However, can I also get the significant difference between the two variables? Why? because in my study, I will assess the teachers' competence through teaching standards.. and what i observed from the standard indicators, it focus more on the competence of the teachers in teaching during classroom observation and does not reflect the performance of the students using formative assessment.

So, what i would like to prove is that teachers may have a good rating for teachers competence but may not reflect to the performance of the students. Or the students may have good performance in the formative assessment but may not guarantee of good rating in the classroom observation.

so, can you help me to check what statistical tool to use, if it is possible to compute the test of difference between the two variables.

Thanks.