Pick a Number between 0 and 100: An Examination of Percentage-Based Scales

Jared Eutsler
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Abstract

This study provides evidence on the relationship between scale characteristics and participant responses for percentage-based scales (i.e., 101 points) in accounting research. A 4×1 between-subjects experiment examines how common labeling designs affect various statistical properties, including means, variance, normality of the distribution, and frequency of responses. The results indicate that labels on percentage-based scales have a significant impact on the distribution of participants’ responses. Labeling only the endpoints is the lone condition that results in normally distributed data. Additional analyses suggest that labels on percentage-based scales influence participant responses in multiple ways. First, as the number of labels increases, participants may not adequately consider, and thus ultimately select, unlabeled points. Second, while participants seem to inherently interpret percentage-based scales in quartiles and deciles, labeling as such exacerbates this tendency. Finally, when more labels are present, participants seem to engage an anchoring heuristic when selecting their response. Taken as a whole, the results suggest that accounting researchers may benefit from labeling only the endpoints of percentage-based scales.
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在0到100之间选择一个数字:百分制量表的检验
本研究为会计研究中基于百分比的量表(即101分)的规模特征与参与者反应之间的关系提供了证据。4×1受试者之间的实验检验了常见的标签设计如何影响各种统计特性,包括均值、方差、分布的正态性和响应频率。结果表明,基于百分比的标签对参与者的反应分布有显著影响。只标记端点是导致数据正态分布的唯一条件。其他分析表明,基于百分比的量表上的标签以多种方式影响参与者的反应。首先,随着标签数量的增加,参与者可能没有充分考虑,从而最终选择未标记的点。其次,虽然参与者似乎天生就用四分位数和十分位数来解释基于百分比的量表,但这样的标签加剧了这种趋势。最后,当更多的标签出现时,参与者在选择他们的回答时似乎采用了锚定启发式。作为一个整体,结果表明,会计研究人员可能受益于标记仅基于百分比的尺度的端点。
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