Boundaries of the probability intervals are useful in searching for genes with significantly different expression.
On the basis of this principle we developed the method of analysis, incorporating the subroutines calculating the characteristic standard deviation function, boundaries of the probability intervals for selected set of values, tests of normality, calculations of skewness and kurtosis, etc. (c.f. Methods section).
Half of the remaining 5%2.5.5%) will be above the upper boundary, so the probability of values not exceeding the upper boundary will be 97.5%.
The difference is due to the different boundary conditions of the probability density function of the membrane potential of the neuron at firing threshold.
When the standard deviation function is determined, the program calculates the boundaries of chosen probability intervals as functions of the mean expression.
Indeed, the crystal structure of Lys48-linked di-ubiquitin falls into the boundary of the atomic probability map delineated by the noncovalent dimer.
Once it determines the standard deviation function, it calculates the boundaries of chosen probability intervals.
In case 3, the node is reaching the boundaries of A, so the probability of reaching the waypoint during Δt is close to one.
Finally, we determine the boundaries of probability intervals and demonstrate that the coefficients defining the intervals are independent of sample characteristics, variability of data, laboratory conditions and type of chips.
For illustration, Figure 4A shows the dispersion plot and boundaries of the 0.8 and 0.95 probability intervals for the murine array MG U74Av2 (lung tissue, AKR mice; Table 4), whereas Figure 4B shows standard deviations of the consecutive samples consisting of 12 ordered pairs of probe sets and the regression curve, representing the standard deviation function.
SVM maximizes the margin between positive (i.e. yi = 1) and negative (i.e. yi = −1) examples and finds a linear decision boundary without any assumptions of the probability distributions (Burges, 1998).
