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In the design of experiments in statistics, the lady tasting tea is a randomized experiment devised by Ronald Fisher and reported in his book The Design of Experiments (1935). [1] The experiment is the original exposition of Fisher's notion of a null hypothesis , which is "never proved or established, but is possibly disproved, in the course of ...
The ZetaGrid project was set up to search for a counterexample to the Riemann hypothesis. Tomás Oliveira e Silva [7] searched for a counterexample to the Collatz conjecture. Finding new examples of numbers or objects with particular properties The Great Internet Mersenne Prime Search is searching for new Mersenne primes.
Hence, the number of total balls in the urn grows. See Pólya urn model. binomial distribution: the distribution of the number of successful draws (trials), i.e. extraction of white balls, given n draws with replacement in an urn with black and white balls. [3] Hoppe urn: a Pólya urn with an additional ball called the mutator. When the mutator ...
An example of Neyman–Pearson hypothesis testing (or null hypothesis statistical significance testing) can be made by a change to the radioactive suitcase example. If the "suitcase" is actually a shielded container for the transportation of radioactive material, then a test might be used to select among three hypotheses: no radioactive source ...
Printable version; In other projects ... A thought experiment, ... is a proposal for an experiment that would test or illuminate a hypothesis, theory, or principle.
Designed experiments with full factorial design (left), response surface with second-degree polynomial (right) In statistics, a full factorial experiment is an experiment whose design consists of two or more factors, each with discrete possible values or "levels", and whose experimental units take on all possible combinations of these levels across all such factors.
A random experiment is described or modeled by a mathematical construct known as a probability space. A probability space is constructed and defined with a specific kind of experiment or trial in mind. A mathematical description of an experiment consists of three parts: A sample space, Ω (or S), which is the set of all possible outcomes.
A thought experiment is a hypothetical situation in which a hypothesis, theory, [a] or principle is laid out for the purpose of thinking through its consequences. The concept is also referred to using the German-language term Gedankenexperiment within the work of the physicist Ernst Mach [ 2 ] and includes thoughts about what may have occurred ...
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