The main arguments that historically have been used to support spreadsheet-based modelling are those of "simplicity and transparency" $-$ which really grinds my gears. In the paper we also argue that, may be, as statisticians we should invest in efforts towards designing our models using user-interfaces, or GUIs $-$ the obvious example is web-apps. This would expand and extend work done, eg in SAVI, or BCEAweb or bmetaweb, just to name a few (that I'm more familiar with...).
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