# Statistical Hypothesis

## statistical hypothesis

[stə′tis·tə·kəl hī′päth·ə·səs]
(statistics)
A statement about the way a random variable is distributed.

## Statistical Hypothesis

an assumed statement on the probabilistic regularities obeyed by a phenomenon under study. A statistical hypothesis generally specifies the form of the probability distribution or the values of the parameters of the distribution.

A hypothesis that completely specifies the distribution is said to be simple. Any nonsimple hypothesis is said to be composite and can be represented as a class of simple hypotheses. An example of a composite hypothesis is the hypothesis that the probability distribution is a normal distribution with mathematical expectation a = a0 and some unknown variance σ2. The simple hypotheses here are a = a0 and σ2 = , where a0 and are specified numbers.

References in periodicals archive ?
The neutrosophic statistical hypothesis was used to demonstrate the significance of the extra-contractual liability that the Public Administration possesses when making use of the three main functions, on the basis of which it was detected that an adequate action is necessary as regards the control function, which is directly related to the preventive function.
The ZENITH20 trial consists of four cohorts of NSCLC patients with EGFR or HER2 exon 20 insertion mutations, with each cohort independently powered for a pre-specified statistical hypothesis.
This study includes four cohorts, each of which is independently powered for a pre-specified statistical hypothesis. There are two cohorts in the earlier-treated NSCLC patients setting and two in the first-line setting.
In statistical hypothesis testing, a type I error is the incorrect rejection of a true null hypothesis (a "false positive"), while a type II error is the failure to reject a false null hypothesis (a "false negative").
First, nothing can ever be proven to be "cured." This is instead a statistical hypothesis that must be tested against the empirical evidence, in which case the best that can ever be said is that a condition was "resolved" or "abated."
Among the most prominent problems of p-value we could highlight that it is used in an all-or-nothing fashion to decide about statistical hypothesis (i.
So the second part of this paper statistically evaluated the following statistical hypothesis that was established:
Most of the fit tests available for the Rasch model rely on the principles of statistical hypothesis testing based on the null hypothesis in which the Rasch model holds, and an alternative hypothesis in which the Rasch model does not hold.
(1) What is a "p-value" that is reported in the context of statistical hypothesis tests?
U Statistical hypothesis testing belongs together with the methods of estimation theory to practice the most important statistical inference.
Special care must be exercised in the interpretation of multiple statistical hypothesis tests--for example, when each of many tests corresponds to a different location.

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