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Intuitive t tests: Lay use of statistical information

By Gretchen B. Chapman and Rochel Gelman

Abstract

Normatively, a statistical pairwise comparison is a function of the mean, standard deviation (SD), and sample size of the data. In our experiment, 203 undergraduates compared product pairs and judged their confidence that one product was better than the other. We experimentally manipulated (within subjects) the average product ratings, the number of raters (sample size), and the SD of the ratings. Each factor had two levels selected, so that the same change in statistical power resulted from moving from the low to the high level. We also manipulated (between subjects) whether subjects were given only the product rating data as summarized in a statistical format or the summaries plus the raw ratings. Subjects gave the most weight to mean product ratings, less weight to sample size, and very little weight to SD. Providing subjects with raw data did not increase their use of sample size and SD, as predicted. Laypeople frequently make comparisons. For example, they compare medical treatments, consumer products, and election candidates. In many cases, these comparisons are informed by information sources, such as doctors, Consumer Reports, or political polls. Surgery may be more promising than chemotherapy, a Volvo may be rated better than a Saab, and a candidate may be favored by 52 % of those polled

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.381.578
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