"Based on this analysis, subjects did not show a statistically significant preference in coffee brewed from a blade grinder or burr grinder. It’s important to point out that this analysis had low statistical power and would have had difficulty in detecting subtle differences between grinder preferences because the number of subjects in the experiment was relatively small. If there was a slight preference to one grinder or the other, this analysis might not detect the effect. However, the results still failed to produce evidence that coffee from a burr grinder was superior to coffee from a blade grinder."
"I observed that 1520 or 75% of subjects preferred coffee from the Aeropress. Since the prior probabilities are equivalent, the hypothesis test reduces to computing the posterior odds ratio, i.e., the prior model probabilities Pr(H1) and Pr(H2) need not be considered. In this calculation, Ix(α,β) is the incomplete beta function. A ratio of ≈74 is considered strong evidence against the null hypothesis. This conclusion is also supported by the exact Binomial test, where the null hypothesis would have been rejected. Thus, there is reason to believe that the Aeropress may, in fact, produce better tasting coffee than drip-extraction."