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Chunk #15 — Findings — Improvements in PLINK 1.9 — Bit population count

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Second-generation PLINK: rising to the challenge of larger and richer datasets.
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The key insight behind this implementation is that each viwi term is in {−1,0,1}, and can still be represented in 2 bits in an addition-friendly manner. (This is not strictly necessary for bitwise parallel processing—the partial sum lookup algorithm discussed later handles 3-bit outputs by padding the raw input data to 3 bits per genotype call—but it allows for unusually high efficiency). The exact sequence of operations that we chose to evaluate the dot-product terms in a bitwise parallel fashion is somewhat arbitrary.