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. 2015 Apr 8;80(4):968–994. doi: 10.1007/s11336-015-9458-9

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© The Author(s) 2015

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

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Fig. 8 — The estimated response mappings for $K = 1$ (top left) to 8 (bottom right) groups, respectively. The area of the bubbles are proportional to how often that particular rating is used. The group sizes are also shown in a legend. Groups are labelled sequentially; the legend should be read vertically and then horizontally.