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| Justin Talbot, John Gerth, Pat Hanrahan, "An Empirical Model of Slope Ratio Comparisons," IEEE Transactions on Visualization and Computer Graphics, vol. 18, no. 12, pp. 2613-2620, Dec., 2012. | |||
| BibTex | x | ||
| @article{ 10.1109/TVCG.2012.196, author = {Justin Talbot and John Gerth and Pat Hanrahan}, title = {An Empirical Model of Slope Ratio Comparisons}, journal ={IEEE Transactions on Visualization and Computer Graphics}, volume = {18}, number = {12}, issn = {1077-2626}, year = {2012}, pages = {2613-2620}, doi = {http://doi.ieeecomputersociety.org/10.1109/TVCG.2012.196}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, } | |||
| RefWorks Procite/RefMan/Endnote | x | ||
| TY - JOUR JO - IEEE Transactions on Visualization and Computer Graphics TI - An Empirical Model of Slope Ratio Comparisons IS - 12 SN - 1077-2626 SP2613 EP2620 EPD - 2613-2620 A1 - Justin Talbot, A1 - John Gerth, A1 - Pat Hanrahan, PY - 2012 KW - Approximation methods KW - Estimation KW - Market research KW - Predictive models KW - Data models KW - Slope analysis KW - aspect ratio selection KW - Banking to 45 degrees KW - slope perception KW - orientation resolution VL - 18 JA - IEEE Transactions on Visualization and Computer Graphics ER - | |||
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/TVCG.2012.196
Comparing slopes is a fundamental graph reading task and the aspect ratio chosen for a plot influences how easy these comparisons are to make. According to Banking to 45°, a classic design guideline first proposed and studied by Cleveland et al., aspect ratios that center slopes around 45° minimize errors in visual judgments of slope ratios. This paper revisits this earlier work. Through exploratory pilot studies that expand Cleveland et al.’s experimental design, we develop an empirical model of slope ratio estimation that fits more extreme slope ratio judgments and two common slope ratio estimation strategies. We then run two experiments to validate our model. In the first, we show that our model fits more generally than the one proposed by Cleveland et al. and we find that, in general, slope ratio errors are not minimized around 45°. In the second experiment, we explore a novel hypothesis raised by our model: that visible baselines can substantially mitigate errors made in slope judgments. We conclude with an application of our model to aspect ratio selection.
Index Terms:
Approximation methods,Estimation,Market research,Predictive models,Data models,Slope analysis,aspect ratio selection,Banking to 45 degrees,slope perception,orientation resolution
Citation:
Justin Talbot, John Gerth, Pat Hanrahan, "An Empirical Model of Slope Ratio Comparisons," IEEE Transactions on Visualization and Computer Graphics, vol. 18, no. 12, pp. 2613-2620, Dec. 2012, doi:10.1109/TVCG.2012.196
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