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The statement that is being tested against the null hypothesis is the alternative hypothesis. [2] Alternative hypothesis is often denoted as H a or H 1. In statistical hypothesis testing, to prove the alternative hypothesis is true, it should be shown that the data is contradictory to the null hypothesis. Namely, there is sufficient evidence ...
In statistics, the Jonckheere trend test [1] (sometimes called the Jonckheere–Terpstra [2] test) is a test for an ordered alternative hypothesis within an independent samples (between-participants) design. It is similar to the Kruskal-Wallis test in that the null hypothesis is that several independent samples are from the same population ...
This is why the hypothesis under test is often called the null hypothesis (most likely, coined by Fisher (1935, p. 19)), because it is this hypothesis that is to be either nullified or not nullified by the test. When the null hypothesis is nullified, it is possible to conclude that data support the "alternative hypothesis" (which is the ...
An alternative approach is to examine information criteria such as the Akaike information criterion, Bayesian information criterion or the Hannan–Quinn information criterion. The unit root test is then carried out under the null hypothesis γ = 0 {\displaystyle \gamma =0} against the alternative hypothesis of γ < 0. {\displaystyle \gamma <0.}
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Diagnostics – Using a matrix, the analyst applies evidence against each hypothesis in an attempt to disprove as many theories as possible. Some evidence will have greater "diagnosticity" than other evidence—that is, some will be more helpful in judging the relative likelihood of alternative hypotheses.
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The hypothesis would have fit the observation much better than almost all other ratios, including For example, this choice of hypotheses and prior probabilities implies the statement "if θ {\displaystyle \theta } > 0.49 and θ {\displaystyle \theta } < 0.51, then the prior probability of θ {\displaystyle \theta } being exactly 0.5 is 0.50/0. ...