Hypothesis in a sentence

If the evidence has falsified the hypothesis, a new hypothesis is required; if the experiment supports the hypothesis but the evidence is not strong enough for high confidence, other predictions from the hypothesis must be tested.

In words: * (more precisely) The posterior probability of a hypothesis is determined by a combination of the inherent likeliness of a hypothesis (the prior) and the compatibility of the observed evidence with the hypothesis (the likelihood).

If a hypothesis is later proven false, it is replaced by a hypothesis that hasn’t been proven false.

A hypothesis (referred to as the Tweedie hypothesis) has been proposed to explain the genesis of pink noise on the basis of a mathematical convergence theorem related to the central limit theorem of statistics.

An hypothesis is proposed for the statistical relationship between the two data sets, and this is compared as an alternative to an idealized null hypothesis of no relationship between two data sets.

An ILP system is complete iff for any input logic theories any correct hypothesis H wrt to these input theories can be found with its hypothesis search procedure.

A null hypothesis is the conjecture that the statistical hypothesis is false, e.g., that the new drug does nothing and that any cures are due to chance effects.

A restatement of the Riemann hypothesis The connection between the Bernoulli numbers and the Riemann zeta function is strong enough to provide an alternate formulation of the Riemann hypothesis (RH) which uses only the Bernoulli number.

A test result (calculated from the null hypothesis and the sample) is called statistically significant if it is deemed unlikely to have occurred by chance, assuming the truth of the null hypothesis.

Attempting to interpret the likelihood of a hypothesis given observed evidence as the probability of the hypothesis is a common error, with potentially disastrous consequences in medicine, engineering or jurisprudence.

Casting doubt on the null hypothesis is thus far from directly supporting the research hypothesis.

Endoclitics defy the Lexical Integrity Hypothesis (or Lexicalist Hypothesis) and so were long claimed to be impossible.

Eumetazoa hypothesis A third hypothesis, based primarily on molecular genetics, views the Placozoa as highly simplified eumetazoans.

Failure of a hypothesis to produce interesting and testable predictions may lead to reconsideration of the hypothesis or of the definition of the subject.

Fisher thought that hypothesis testing was a useful strategy for performing industrial quality control, however, he strongly disagreed that hypothesis testing could be useful for scientists.

Following up his "weak cosmic censorship hypothesis ", Penrose went on, in 1979, to formulate a stronger version called the "strong censorship hypothesis".

Formally, a hypothesis is compared against its opposite or null hypothesis ("if I release this ball, it will not fall to the floor").

Gödel showed that the continuum hypothesis cannot be disproven from the axioms of Zermelo–Fraenkel set theory (with or without the axiom of choice), by developing the constructible universe of set theory in which the continuum hypothesis must hold.

High values of the statistic mean that the observed outcome was nearly as likely to occur under the null hypothesis as the alternative, and the null hypothesis cannot be rejected.

Hypothesis tests are used in determining what outcomes of a study would lead to a rejection of the null hypothesis for a pre-specified level of significance.