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 = Statistical Hypothesis, where a0 and Statistical Hypothesis are specified numbers.

References in periodicals archive ?
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.
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.
The first block deals with inference on nonlinear models and enhances the performance of statistical hypothesis tests.
The first hypothesis is a general whereas the last hypothesis indicates the statistical hypothesis.
U Statistical hypothesis testing belongs together with the methods of estimation theory to practice the most important statistical inference.
The first four chapters give an overview of nonparametric statistics, the process of statistical hypothesis testing, choices in selecting a parametric or nonparametric test, and evaluating characteristics of data.
The methods used are: logical and comparative analysis of literature, analysis, synthesis, deduction, induction, description, excerption and statistical hypothesis testing.
The statistical hypothesis test is a method of making decisions about a hypothesis by using data and suitable statistical methods.
In the first hypothesis, statistical hypothesis was: we reject the no significant relationship between Effectiveness factor and consumers acceptance from social marketing of Equipment and modern technology Construction.
Statistical hypothesis test results are shown in Table 2.
Johnson, 1999) worked on testing of hypothesis in his paper titled "The insignificance of statistical significance testing" and briefly describe statistical hypothesis testing, discussed incorrect interpretation of resulting p-values and mentioned some short coming of hypothesis testing.

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