Conceptions of sample and their relationship to statistical inference

被引:1
作者
Saldanha L. [1 ]
Thompson P. [1 ]
机构
[1] Dept. of Teaching and Learning, Vanderbilt University, 240 Wyatt Center, Nashville, TN 37203
基金
美国国家科学基金会;
关键词
Conceptions; Sample; Sampling; Sampling distributions; Statistical inference;
D O I
10.1023/A:1023692604014
中图分类号
学科分类号
摘要
We distinguish two conceptions of sample and sampling that emerged in the context of a teaching experiment conducted in a high school statistics class. In one conception 'sample as a quasi-proportionalsmall-scale version of the population' is the encompassing image. This conception entails images of repeating the sampling process and an image of variability among its outcomes that supports reasoning about distributions. In contrast a sample may be viewed simply as 'a subset of a population'-an encompassing image devoid of repeated sampling and of ideas of variability that extend to distribution. We argue that the former conception is a powerful one to target for instruction. © Kluwer Academic Publishers 2002.
引用
收藏
页码:257 / 270
页数:13
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