is an expository discussion written specifically for students and users of statistical theory rather than just experts. It covers historical development and practical applications of the chi-square test. The IMS Lecture Notes series contains volumes like

Among unbiased estimators, the one with the smallest variance is the most efficient.

A ( 100(1-\alpha)% ) confidence interval (CI) is a random interval ([L, U]) such that: [ P(\theta \in [L, U]) = 1 - \alpha ] [ \barX \pm z_\alpha/2 \frac\sigma\sqrtn ]

A point estimate is rarely perfectly accurate. An interval estimate provides a range of values that likely contains the true population parameter, accompanied by a specific confidence level (e.g., 95%).