Owen's Corning (and others) also publish the R values for compressed batts at standard stud-depths too, and they consistently deliver a higher R/inch when compressed.
http://numsum.com/spreadsheet/show/21111 http://www.owenscorning.com/around/insulation/CompressionChart.xls ^^^^ note that the R13 when compressed in to a 2.5" cavity hits R4/inch @ 2.5", up from R3.7/inch @ 3.5", which is about the density you're going for.
Also note that R22s only perform at R19 in the 2x6 cavities they were designed for, and R19s only perform at R18 in a 2x6 cavity. Both are measured & labeled at their full-loft, not the installed thickness in a wall cavity, which is something of a marketing slight-of-hand somehow allowable at the edges of FTC regs.
It's the reduced thickness that results in the lower-R for batts, not the higher density. With higher density the R/inch goes up, but for a given batt it's much fewer inches. As you fill the full available space you achieve a higher R value by stuffing it a bit harder, up to about 1.5-2x the density of an R13 batt, which is pretty easy to gauge with a finger-compression test. As long as it's still not so stuffed that it still springs back a bit you're at about R4/inch, which is as good as it gets with fiberglass & rock wool.
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