Require: input signal x t), maximum number of IMFs K; remainder function r(t); extracted IMF c k (t); upper envelope function u(t); lower envelope function l(t); hypothetical function h(t); k := 1; r(t) := x t); while k ≤ K and r(t) is not monotonic do.
In order to evaluate a combination C i ∈ C ( t ), a hypothetical pattern is first estimated for each of its candidates.
The consequences of the relative nature of F2 values for investigations of genetic variance in sperm competitive ability have been examined with analyses of the intraclass correlation coefficient (t), recreating hypothetical studies using fertilization success values as proxy of sperm competitive ability (see Methods), such as it is done in real experiments.
In order to estimate the benefit of a change in the uptake of a treatment from the baseline or current value u b to the target value u t, the hypothetical number of deaths prevented or postponed due to this change needs to be estimated.
Moreover, each newly discovered T-SCE modulating gene offers yet another opportunity to test the hypothetical dependence of replicative senescence on T-SCE rate [ 12, 15- 17].
Effect sizes for the two treatment satisfaction scales (DTSQsDiff and DTSQc) were compared separately for the At Ceiling and Not at Ceiling groups, by testing the mean rated change (DTSQc) or DTSQsDiff scores, by t-tests against a hypothetical mean of zero and converting the resulting t-values to values of r, as a measure of effect-size.
In the same way, we let (t) be the hypothetical covariates at time t.
In accordance with Diggle et al. [ 5] and Gunnes et al. [ 6], we refer to the variable (t) as the hypothetical response at time t, that is, the response that would have been recorded had the subject, possibly contrary to fact, contributed a measurement at this time.
In the extraction of IMFs, the remainder function r(t) is recursively replaced by the hypothetical function h(t), r ( t ) ← h ( t ) = r ( t ) - 1 2 ( u ( t ) + l ( t ) ). (7).
This was further confirmed by one sample t-test assuming a hypothetical mean of 25% time spent in each of the 4 quadrants showing that only Atxn2 ko mice spent more time in quadrant 1 on day 10 (one sample t-test, P = 0.025 for Atxn2 ko, and P = 0.21 for wt mice).
