Sentences with phrase «observation given the hypothesis»

And the confidence in a hypothesis added by an observation is related to the probability of the observation given the hypothesis, over the probability of the observation given the alternative — which in this case is that the true value is close to but outside that interval.
The log - likelihood ratio is log (P (O H0) / P (O H1)-RRB- meaning the log of the probability of the observations given hypothesis H0 is true, divided by the probability of the observations given hypothesis H1 is true.

Not exact matches

In the early 1980s these observations gave birth to «the cholinergic hypothesis» of memory loss.
To test the hypothesis that publicly available information has an impact over and above direct observation of school performance, we can compare the ratings given by respondents whose schools were very close to the cutoffs in the point system used by Florida to assign school grades.
If the predicted cooling by la Nina had not occurred then 2008 would probably have been the same temperature (given the uncertainties) as every year since 2001 and that in itself would require explanation.I am broadly in favour of the global warmingCO2 hypothesis but I know it is just that, a hypothesis — and that needs testing against real observations in the physical world.
At the time, I observed that this meant nothing more than «given the variability in the data, we need at least 15 observations to reject the null hypothesis at 95 per cent confidence».
Lindzen has published a couple of hundred papers in climatology, so I think we can assume he knows that the statement «there has been no statistically significant warming since 1995» means nothing more than «given the variability in the data, we need at least 15 observations to reject the null hypothesis at 95 per cent confidence», a fact so trite as not to be worth mentioning.
@Dan «I think it woudl be a useful thing for me to identify competing hypotheses & then I & others can think of observations that can be made that would give us more or less reason to believe one or the other of those conjectures is right»
One can not naively apply a criterion like rejection if p < 0.05, and all that means under the best of circumstances is that the current observations are improbable given the null hypothesis at 19 to 1.
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