average over analyses of hypothetically many similar testing situations) fraction of local null hypothesis test
rejections ("discoveries") for which the respective null hypotheses are actually true.
The effectiveness of a confirmatory hypothesis test
needs to be quantitatively evaluated with all of the decisions for these factors operating together.
The analysis of several plausible nested alternative stock return generating processes suggests that stock returns with weak asymptotic tail dependence will produce CoVaR and MES hypothesis test
statistic distributions that significantly overlap the sampling distributions of test statistics calculated from Gaussian returns.
Of course, since finding the probability of rejecting a true hypothesis requires testing that hypothesis, this necessarily tells DNA analysts to test an appropriate hypothesis and report the results of the hypothesis test
and its level of statistical significance, which is of course the probability of finding a false positive.
Three non-nested hypothesis tests
are used to judge the alternative capital mortality patterns.
TABLE 2 Summary of Hypothesis Tests
on Competitive Models No Lagged Lagged COUNTRY Reserves Reserve Saudi Arabia reject reject Saudi Kuwait reject reject Qatar reject reject(*) UAE reject reject(*) Iraq reject reject Libya reject reject Algeria reject reject(*) Iran reject reject(*) Nigeria reject reject(*) Indonesia reject reject(*) Venezuela reject reject TOTAL REJECTED 11 11 * Point Estimates were positive (+) but not significant.
The technically justifiable conclusion for a classical hypothesis test
is the simple binary outcome of whether or not the null hypothesis is rejected.
For this hypothesis test
, the test statistic calculated is 2.
For the third research hypothesis tests
, regression analysis and Pearson correlation was used.
Thus, in data mining procedures that use a sequence of hypothesis tests
, the alpha level of the tests cannot generally be taken as an estimate of any error probability related to the outcome of the search.