参数估计与假设检验理实一体化教学探索
Integration of Theory and Practice Teaching Exploration of the Principle of Estimation Interval Estimation and Hypothesis Testing of Parameters
陈学云1
作者信息
- 1. 滁州学院经济与管理学院 安徽 滁州 239000
- 折叠
摘要
文章在阐明标准正态分布分位数、置信水平、置信区间和样本均值的抽样分布的基础上,通过计算样本均值落在总体均值两侧任何位数抽样标准差范围内的概率,运用中心极限定理建立总体均值的参数估计区间;根据估计区间,提出假设检验的基本思想,明确双侧检验和单侧检验的拒绝域,并提醒学生左侧检验与右侧检验容易误判的地方;通过引例,实施理实一体化教学,边讲原理边做实验,化抽象为具体,从具体再到抽象,消除学生对参数估计和假设检验的畏惧感,明晰推导思路,让学生在完成操作任务的过程中学习统计学知识.
Abstract
On the basis of elucidating the sampling distribution of standard normal distribution quantiles,confidence levels,confidence intervals,and sample means,the article calculates the probability that the sample mean falls within the sampling standard deviation range of any digit on either side of the population mean,and uses the central limit theorem to establish the parameter estimation interval of the population mean.Based on the estimated interval,propose the basic idea of hypothesis testing,clarify the rejection domains of bilateral and unilateral tests,and remind students of the areas where left and right tests are prone to misjudgment.By citing examples,implementing integrated teaching of theory and practice,teaching principles while conducting experiments,transforming abstract concepts into concrete ones,and moving from concrete to abstract ones,students'fear of parameter estimation and hypothesis testing is eliminated.The reasoning process is clarified,allowing students to learn statistical knowledge while completing operational tasks.
关键词
参数/区间估计/假设检验/理实一体化教学Key words
parameters/interval estimation/hypothesis testing/integrated teaching of theory and practice引用本文复制引用
基金项目
安徽省本科教学质量工程一流课程建设项目(2021XSXXKC210)
出版年
2024
NETL
NSTL
万方数据