Conceptions of sample and their relationship to statistical inference |
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| Authors: | L Saldanha P Thompson |
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| Institution: | (1) Dept. of Teaching and Learning, Vanderbilt University, GPC Box 330, 240 Wyatt Center, Nashville, TN, 37203 |
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| Abstract: | 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-proportional,small-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.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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| Keywords: | conceptions sample sampling sampling distributions statistical inference |
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