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We also analytically calculate the potential errors and biases in the estimation of partial variances.
Hypothesis tests are constructed to reduce the effect of sampling errors on the estimation of partial variances.
Compared to simple random sampling, random balance design sampling generally provides higher estimation precision for partial variances contributed by the main effects of parameters.
It uses a periodic sampling approach and a Fourier transformation to decompose the variance of a model output into partial variances contributed by different model parameters.
The variance of the model outputs was decomposed into correlated and uncorrelated partial variances to provide insight into parameter dependency and interaction.
Our results show that compared to simple random sampling and random balance design sampling, sensitivity indices (ratios of partial variances to variance of a specific model output) estimated by search-curve based sampling generally have higher precision but larger underestimations.
Similar(43)
Nonetheless, our results are at partial variance from the abovementioned studies.
This partial variance is subtracted from the total variance yielding the frequency related variance reduction expressed as percentage of the total variance.
I calculated the relative variance as the partial variance for a given term divided by the maximum partial variance value in the model.
Thus, if there is no correlation (unit diagonal correlation matrix) the partial variance equals the variance, and hence SPV = 1.
Likewise, the partial variance is the variance that remains if the influences of all other variables are taken into account.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com