For each sampled composition, a pair of experiments-one without water, the other with deliberate addition of 10 µL water-was performed. To eliminate any inadvertent water content, all solvents were dehydrated overnight with 3Å molecular sieves, which were activated in an oven at 250 °C for 3 hours before use. Glassware was dried prior to the experiment by heating in a dry oven at 100 °C for 24 hours. Paired experiments were placed in a mirror symmetric ("butterfly") pattern on the 96-well microplate, depicted in Figure , to eliminate any effects of temperature variations across the plate during heating. To define our notation, Npairs is the total number of unique pairs of experiments performed (one each with and without addition of water), and Nwet+ and Ndry+ are the number of crystals observed for experiments with and without water added, respectively. Concordant outcomes-when both the wet and dry pairs yield a crystal (N++ ) or not (N--)-are uninformative. Discordant outcomes-N+-when the wet experiment yields a crystal but the dry experiment does not, and N-+ when the wet experiment does not yields a crystal but the dry experiment does-are analyzed using the exact unconditional two-sided