On the statistical analysis of grouped data: when Pearson χ2 and other divisible statistics are not goodness-of-fit
分组数据的统计分析:何时皮尔逊卡方及其他可分统计量不是拟合优度检验
Abstract Thousands of experiments are analysed, and papers are published each year involving the statistical analysis of grouped data. While this area of statistics is often perceived–somewhat naively–as saturated, several misconceptions still affect everyday practice, and new frontiers have so far remained unexplored. Researchers must be aware of the limitations affecting their analyses and what new possibilities are at their hands. The article introduces a unifying…