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It is simpler than the mathematical approach of gaining WPG distribution and computing its moments.
Decision analysis also can be conducted under the Bayesian framework using linear combinations of the form f(A, B) = A(p E - p C ) - B(q E - q C ) Point estimates and probability intervals for these linear combinations can be computed by taking a large number of draws from the posterior distribution and computing f(A, B) for each draw.
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An iterative algorithm to find the steady-state probability distribution and compute the performance measures is proposed.
Projecting the profile distribution of paleo oil pools onto the planar structural map allows us to roughly circle the planar distribution and compute their plane area.
The authors used the RI alarm function as the prior distribution, and computed the Molchan trajectories for the PI and NSHM forecasts.
Next, we randomly generate 1, 000 data sets from the fitted distribution and compute the difference between these synthetic data sets and the fitted form (using the Kolmogorov Smirnov statistic).
We also defined a pseudo-potential function using the Gaussian mixture model and Boltzmann distribution, and computed the z-coordinates accordingly.
In each simulation, we draw a total of n observations randomly from the given distribution and compute the true sample standard deviation of the sample.
Then we replace the real data with random data from the Normal distribution with mean 0 and standard deviation 1 (the null distribution) and compute AUC for the same gold standard as used with the real data.
Therefore, for the steady-state analysis we sampled total levels of Raf, MEK and ERK from a gamma distribution, and computed the dose response curves for 1000 cells, each cell having different, sampled levels of Raf, MEK and ERK.
Then, we trisected the distributions at the mean simple-spike firing rate plus/minus 0.44 standard deviations, grouped the trials for each third of the distribution, and computed the probability of a CS response to the instruction (analysis interval shown by light gray shading in Figure 3E,F) for each third of the distribution.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com