Karl Pearson's chi-squared test is widely known and used, both as a goodness-of-fit test for hypothesized distributions or frequencies, and in tests of independence in contingency tables. The test was introduced in Pearson (1900), but the derivation in that paper is almost incomprehensible. Two...

We use the Lindberg-Levy central limit theorem (CLT), Tchebychev's inequality, Slutsky's theorem, and general rules for limiting distributions to demonstrate sufficient conditions under which the Student-t test statistic for the mean is asymptotically standard normal. Although there exist weaker...

The intuition behind linear regression can be difficult for students to grasp particularly without a readily accessible context. This paper uses basketball statistics to demonstrate the purpose of linear regression and to explain how to interpret its results. In particular, the student will...