Category Archives: statistics

There are two drugs that are applied to equal amount of patients. We obtained two sets of data for each corresponding drug indicating its effectiveness (e.g. how long each patient survived without symptom). We want to know which drug is more effective. Furthermore, we want to assess how much more effective the winner drug isContinue reading “Bayesian for parameter estimation and A/B test”

Bayesian Statistics is about how to use data to update your belief. It is not about how to use data to prove or support your hypothesis. Bayesian statistics lets people to combine their prior knowledges with observations to disagree or update with their beliefs in a quantitative way. The core of Bayesian thinking is theContinue reading “Bayesian Statistics for Beginner”

Binomial Distribution describes probabilities of getting a number of successful trials (variable, k) within a fixed total number of trials (constant parameter, n), given the probability of one successful trial is known and fixed (constant parameter, p) (B(k; n, p)). Each trial in binomial distribution, as described above, is a Bernoulli event that can onlyContinue reading “Binomial Distribution”

Probability captures how strong, or how uncertain, we believe in the world. It is a natural extension of logic (absolute believes, binaries). The probability for an event to occur lies between 0 and 1 (rule No.1). Probability can be calculated as the proportion of number of desirable events over the total number of events. ForContinue reading “Probability and Probability Distribution”