(originally posted 2007-04-02, but then a victim of repeat web site hosting problems, i’m trying again …)
Looking further at the numbers i previously discussed for estimating the ranked importance of Biblical characters by how often and where they’re mentioned, there’s a refinement of the dispersion factor that i like better. It came from comparing the rank of Ishmael.1 (Abraham’s son by Hagar) to Ishmael.2 (who assassinated Gedaliah, the Babylonian-appointed ruler of Judah discussed in 2 Kings 25 and Jer 40-41). In my first ranking, Ishmael.2 (who i didn’t even remember) was ranked slightly higher than Ishmael.1, contrary to my intuitions (and those of every Bible dictionary i’ve checked, measured by the number of sentences used to describe each).
Quantifying your ideas gives you a way to measure how they match your intuitions, and, when they don’t, think about why. In this case, it was immediately obvious: though Ishmael.2 is mentioned a few more times, those mentions are highly concentrated, in a total of 3 chapters (across 2 books). Ishmael.1 is also mentioned in two books, but in 6 different chapters. By incorporating the number of distinct chapters a name occurs in (just a more fine-grained measure of dispersion), their rank comes out more like what i’d expect. Specifically, given weights of
- .6 for frequency (as before)
- .2 for chapter dispersion
- .2 for book dispersion (so the total dispersion weight is still .4, just refined a bit)
Ishmael.1 comes out at #257, versus #285 for Ishmael.2. Here’s the top 50 chart using this metric:
Here’s a graphic to show more clearly how the rankings change with this metric. Red markers above the Blue line are names that have moved up in rank with the revised metric: for example, John the Baptist (John.1) moves from #50 to #30, which seems appropriate. Those below the line are ranked less highly under the new metric (e.g. Jesse.1, who moves from #18 down to #24).
Some other factors that might improve the estimate even further (and remember, this is just an estimate):
- As suggested above, external sources (like Bible dictionaries) are a rich and quantifiable source of judgments about importance: the more words or sentences used to describe an individual, the more important they’re likely to be. By using several dictionaries, you’re not held captive to the biases of an individual work or editorial slant. The key feature here is making the connection between the described individual (often in a numbered paragraph) and the Biblical character: but given a map from individuals to passages (which we have), that ought to be possible with a bit of programming at better than 90% accuracy.
- Though the whole of Scripture is authoritative and inspired, there’s a sense in which certain sections are broader in their implications. For example, anyone mentioned in the first chapters of Genesis should probably get an extra measure of importance: these are the foundational stories of Hebrew and Christian history (and this is another way in which Ishmael.1 is surely the most important one).
Postscript: after drafting the above, but before publishing (making and uploading the charts is still a bit painful), i saw this post at OpenBible.info, suggesting some alternative approaches (thanks for playing!). The first (rank some chapters higher than others) is similar in spirit to my second suggestion above: we both agree, as i’m sure do others, that some parts of the Bible ought to add more weight to this metric. The second suggestion there also proposes a valuable refinement, using association with important people (approximated by co-occurrence in a chapter) to lend importance. I’ll look into incorporating that figure as well.