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Our approach introduces the tool of Riemann-integral averages of continuous functions, and uses it to bring out to light the differences in behavior of their approximates in the lack of local convexity.
The averages of continuous variables were represented as median (25%, 75%).
We used t-tests to compare the averages of continuous variable between groups.
Averages of continuous variables were compared with the 2-sample-t-test, if the variance of the distributions did not differ significantly.
We explored the heat-wave effects with adjustment for two-day moving averages of continuous apparent temperature on the current day and the previous day, which was modeled as a natural spline with 6 degrees of freedom.
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To mimic the temporal availability of data following patient admission, we first entered demographics available at patient admission (age, gender, Charlson Comorbidity Index score) into the model, and then the initial VS (5-minute average of continuous VS data accrued from minutes 10 to 15 after admission), and finally the relative risk score derived in the first 4 hours.
We calculated Tin from the 24 h average of continuous (1 min) measurements in each home.
Table 5 Average number of continuous variables, discrete variables, constraints, and average solution time.
This method is not only useful for evaluation and visualization purposes but also allows to perform ensemble averages of, e.g., continuous stress patterns – an analysis approach which is highly beneficial for comparisons and statistical analysis of microstructures with respect to different degrees of structural disorder.
This assumes that the signal samples are weighted averages of the continuous signal.
The third method regresses the binary variable on the subject-specific averages of the continuous time-varying exposure variable in a logistic regression framework as follows: where.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com