Hello everyone. I could sure use some help. I'm trying to help my son understand some of the relationships that occur in statistics. The problem is that I'm just not getting through to him. He's totally lost and I believe it is due to the way I am explaining it. I'm not sure if I don't quite get it or if I'm just not explaining it in a way he's grasping. I would really appreciate it if someone out there could explain - in simple language - the following?
1) What is the relationship between a person?s observed score, their estimated true score, and the overall mean of the test?
2) How do interpret the relationship between the standard error of measurement, reliability, true score and observed score?
3) How do we interpret the relationship between confidence interval width, reliability, and standard error of measurement?
4) If we increase, or decrease, the number of scores we are looking at from a test, how does this affect the SEM and what does this do to the width of the confidence intervals?