Does SHA-1 meet the strict avalanche criterion?
There is a paper "SHA-1 and the Strict Avalanche Criterion."

From the abstract:


  This work provides a working definition of the SAC, describes an experimental methodology that can be used to statistically evaluate whether a cryptographic hash meets the SAC, and uses this to investigate the degree to which compression function of the SHA-1 hash meets the SAC. The results (P&lt;0.01) are heartening: SHA-1 closely tracks the SAC after the first 24 rounds, and demonstrates excellent properties of confusion and diffusion throughout.