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...hod to control the [[family-wise error rate]]. When all null [[Hypothesis|hypotheses]] are true, the method provides familywise error control that is exact for * Given ''m'' different null hypotheses and a familywise alpha level of <math>\alpha</math>, each null hypothesis i ...

...]] between the probability distributions of the observations under the two hypotheses. This exponent is also referred to as the Chernoff–Stein lemma exponent. ...

...nce level represents an acceptable error rate '''considering that all null hypotheses are true''' (the "global null" hypothesis). The choice of a significance le ...r of hypotheses under the '''real''' combination of true and non-true null hypotheses (disregarding the "global null" hypothesis). Since the false positive rate ...

Suppose we are interested in {{mvar|m}} different hypotheses, <math> H_{1},...,H_{m} </math>, and would like to check if all of them ar :Step 1, we test each of {{mvar|m}} null hypotheses at level <math> 1-(1-\alpha)^\frac{1}{m} </math>. ...

...e is the supremum over all data generating processes that satisfy the null hypotheses.<ref name="DM">{{cite book|last1=Davidson|first1=Russell|last2=MakKinnon|fi ...

...\alpha m_0}{R} </math>, where <math>m_0 </math> is the number of true null hypotheses, <math>R </math> is the number of rejected hypothesis, <math>V</math> is th ...''R'' = max{ ''j'' : ''P''( ''j'') ≤ ''j'' • ''q''/''m''}, the ''R'' null hypotheses for which ''P''(''i'') ≤ ''R'' • ''q''/''m'' are rejected. If testing is do ...

...tist probability|frequentist statistics]] does not attach probabilities to hypotheses. ==Representing probabilities of hypotheses== ...

...true, and (as is conventional in single hypothesis testing) to reject null hypotheses with a [[significance level]] of 0.05; due to random chance, one would expe ...

...| last = Wald | first = Abraham | title = Sequential tests of statistical hypotheses | journal = Ann. Math. Stat. | issue = 2 | pages = 117–186 | date = 1945 | ...

Therefore the likelihood <math>P(x|h')</math> for all hypotheses <math>h'</math> will be "ignored". ...

Derived rule of inference '''R&prime;''' enables reasoning from a set of hypotheses ''H''. The Deduction Theorem for Q₀ shows that proofs from hypotheses using Rule R&prime; ...

Employing more hypotheses, on the matrix <math>A</math>, one can even give quantitative results. For ...

...</matH> satisfies <math>SR_{d+2}</math>. (For this reason, one often finds hypotheses phrased as "Suppose that <math>R</math> satisfies Bass's stable range condi ...

...ribing various measures of diversity, and can also be used to test various hypotheses pertaining to biogeography. ...

[[Category:Hypotheses]] ...

...ms and it makes sense for them to be also more accurately translated. Both hypotheses lead to highly expressed genes using mostly codons for tRNA species that ar ...

...heses is greater than the power of BH to detect significant ''individual'' hypotheses.<ref name=":1" /> ...tinuous)#Standard uniform|standard uniform]] distributions when their null hypotheses are true. Large numbers of underpowered tests can therefore harm the power ...

...taken as true that should be avoided because they cannot be tested, and 2) hypotheses.<ref name="Wiley75">{{cite journal #If two hypotheses h₁ and h₂ are mutually exclusive, then the sum of the ...

Under the null hypotheses, this statistic has a Beta(m,m) distribution. ...

Swinburne applies mathematical [[conditional probability]] logic to various hypotheses related to the existence of God ...</math> can be written as the sum of the probabilities of several optional hypotheses <math>h_i</math> without a god, i = 1, 2, 3: ...