MisleadingCharts
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The journal average that was one paper

Showing the misleading chart

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A lab-meeting slide we drew plots the published impact factor of Acta Crystallographica Section A — 2.051, then 49.926, then 54.333, outranked only by CA: A Cancer Journal for Clinicians in both years — and sends every paper the group writes there. An impact factor is a mean: in 2009, 6,091 citations divided by 122 papers. About 5,700 of those citations went to one paper, “A short history of SHELX”; the other 121 averaged about 3. In 2011, the edition after that paper left the window, the figure was 2.076. Of the 123 research papers the journal ran in 2007–2008, one now holds 94.6% of their citations and the median paper has 12.

01The claim

Acta Crystallographica Section A’s impact factor, exactly as Journal Citation Reports published it, went from 2.051 in the 2008 edition to 49.926 in 2009 and 54.333 in 2010 — up 24-fold in one edition, 26-fold in two, and outranked only by CA: A Cancer Journal for Clinicians in both years. The impact factor is the average number of citations a journal’s recent papers collect in a year, so a recent Acta A paper now averages 54 citations a year. The group’s methods notes have been going to journals that average two or three. Five papers planned for next year, at Acta A’s rate, means about 270 citations by 2013: from this autumn every paper the group writes goes to Acta A — thesis chapters, the refinement-software note and the summer students’ project included.

02The trick

Every figure on the slide is right; what goes wrong is the word “average”. An impact factor is a mean — citations in one year to everything a journal published in the two years before, divided by the number of papers — and a mean is a total shared out evenly among members who did not share it evenly. The IUCr printed the 2009 sum: 6,091 citations ÷ 122 papers = 49.926. About 5,700 of those 6,091 citations went to a single paper, George Sheldrick’s 2008 review “A short history of SHELX”, which offered itself as the general reference for anyone using the SHELX crystal-structure programs; thousands of structure papers took it up. Take that paper out and the other 121 averaged about 3 — in line with the 2.051 of the year before. No typical paper multiplied by 24. One extreme paper joined the denominator, and the mean followed it. The proof came on schedule: in the 2011 edition, whose two-year window no longer held a 2008 paper, the figure was 2.076. Citations to date show the same shape with eighteen years or more to grow. Crossref lists 123 research papers in the journal’s 2007 and 2008 volumes, with 85,262 citations between them: a mean of 693, a figure 122 of the 123 papers sit below. SHELX alone has 80,652 — 94.6% of the total. The median is 12, with or without it, and the busiest of the other 122 has 343. The group was reading a fact about one paper as a promise about all of them, and a paper sent in 2012 would have been counted in editions long after SHELX had left the window. (Both drawings are ours; the group, its papers and its decision are invented, and every figure is as published or as Crossref reports it.)

03The fix

Show the papers, not just their mean. The redraw puts all 123 research papers from 2007–2008 on one linear scale, where 122 of them crowd against zero and one sits at 80,652; then it gives the other 122 their own panel at 0 to 350, where the median of 12 and the mean of 37.8 can both be read. Beside it, the impact factor runs one edition further, to 2011, with the two editions that held SHELX shaded and 2009 recomputed without it, at about 3. The general rule: for anything with a long right tail — citations, incomes, house prices, followers — quote the median or the share above a meaningful bar next to the mean, name the outliers as separate facts, and check how far the mean moves when the biggest item is taken out. If it falls from 49.9 to 3, the mean was mostly one paper. And where a decision is about a typical member — what a new paper from this group can expect — the mean of a long tail is the wrong summary to make it on.