非均匀骰子

2026-06-11
抛掷两枚均匀骰子，根据中心极限定理，多次独立投掷得到的点数和的总和随试验次数不断增加，其抽样分布会逐渐趋近于正态分布。 现在的问题是：如果两枚骰子相同，但是它们是非均匀的，也就是说每个面出现的概率并不相等，那么我们如果通过统计 2 ~ 12 每个数的频率倒推 6 个骰子单面概率？ 投掷两个均匀骰子 roll = () { die = 1:6 # 一枚骰子的 6 个点数 dice = sample( x = die, size = 2, replace = TRUE, prob = c(1⁄6, 1⁄6, 1⁄6, 1⁄6, 1⁄6, 1⁄6) # 不同点数的概率 ) sum(dice) } set.seed(1234) rolls = replicate(100000, roll()) mu = mean(rolls) sigma = sd(rolls) library(ggplot2) theme_update( plot.title = element_text(size = 16, face = …

“The Data Analyst’s Guide to Cause and Effect”

2026-06-11
Theiss Bendixen and Benjamin Grant Purzycki wrote this book. He writes: The website holds: – All data and code used in the book – Free sample chapters – Bonus material These aren’t quite the same methods for causal inference that … Continue reading → …

Adjusting for nonrepresentativeness in continuous norming using multilevel regression and poststratification.

2026-06-11
Klazien de Vries, Marieke E. Timmerman, Anja F. Ernst, and Casper J. Albers write: In psychological test norming, nonrepresentativeness in background variables in the normative sample can lead to bias in the normed score estimates. Because representativeness is difficult to … Continue reading → …

Ronny Hernandez Mora, Joel Nitta, and Nick Tierney Join rOpenSci Software Peer Review Editorial Team

2026-06-11

What makes rOpenSci’s software peer review work is people who care deeply about the quality and usability of scientific software, and who give their time and expertise to help others build it better. Today, we’re pleased to announce three …

Continue reading: Ronny Hernandez Mora, Joel Nitta, and Nick Tierney Join rOpenSci Software Peer Review Editorial …