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In probability theory, an experiment or trial (see below) is any procedure that can be infinitely repeated and has a well-defined set of possible outcomes, known as the sample space. [1] An experiment is said to be random if it has more than one possible outcome, and deterministic if it has only one.
An N of 1 trial (N=1) is a multiple crossover clinical trial, conducted in a single patient. [1] A trial in which random allocation is used to determine the order in which an experimental and a control intervention are given to a single patient is an N of 1 randomized controlled trial. Some N of 1 trials involve randomized assignment and ...
In the theory of probability and statistics, a Bernoulli trial (or binomial trial) is a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted. [1]
Event (probability theory) – In statistics and probability theory, set of outcomes to which a probability is assigned; Sample space – Set of all possible outcomes or results of a statistical trial or experiment; Probability distribution – Mathematical function for the probability a given outcome occurs in an experiment
A single success/failure experiment is also called a Bernoulli trial or Bernoulli experiment, and a sequence of outcomes is called a Bernoulli process; for a single trial, i.e., n = 1, the binomial distribution is a Bernoulli distribution.
If denotes the number times element i is included in a given bootstrap sample, then each is distributed as a binomial distribution with n trials and mean 1, but is not independent of for . The Poisson bootstrap instead draws samples assuming all W i {\displaystyle W_{i}} 's are independently and identically distributed as Poisson variables with ...
In probability theory, an event is a subset of outcomes of an experiment (a subset of the sample space) to which a probability is assigned. [1] A single outcome may be an element of many different events, [2] and different events in an experiment are usually not equally likely, since they may include very different groups of outcomes. [3]
Clinical trials are medical research studies conducted on human subjects. [1] The human subjects are assigned to one or more interventions, and the investigators evaluate the effects of those interventions. [1] [2] The progress and results of clinical trials are analyzed statistically. [3] [4]