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Obtain the projections of ĉ l, m [ n ] on the meaningful intervals of length N as c ̄ l, m [ k ] = ℜ ĉ l, m [ k ] · s l [ n ] | s l [ n ] | (50) .
Begin by setting m = 0. Obtain the projections of ĉ l, m [ n ] on the meaningful intervals of length N as c ̄ l, m [ k ] = ℜ ĉ l, m [ k ] · s l [ n ] | s l [ n ] | (50).
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Find the peak P m on the meaningful interval and its corresponding positions n peakm as P m = max | s l [ n ] | (52).
with n = mN / 2 + k, 3 N / 2 ≤ k ≤ 5 N / 2 - 1. (51) 4. Find the peak P m on the meaningful interval and its corresponding positions n peakm as P m = max | s l [ n ] | (52) .
(53) 5. Compute the scaling factors for all of the projections by only considering the positive projections, on the meaningful interval calculated in Equation 50, as μ m [ n ] = P m - | s l [ n ] | c ̄ l, m [ n ] - c ̄ l, m n peak m. (54) 6.
The Rasch model is statistically strong because it enables ordinal measures to be converted into meaningful interval measures.
A moving window of three ORFs was chosen as the lowest statistically meaningful interval for averaging the hybridization signal, thus defining the resolution of the analysis.
The Mokken analysis will serve as a first indication of the overall quality of the measurement and to whether further parametric IRT-models will be able to transform the sum scores into a meaningful interval scaled variable.
The results illustrate how incorporating bidirectional effects and considering theoretically meaningful time intervals can improve theory development and theory tests in management accounting research.
In addition, a comparison of simulation and asymptotic results shows that the adaptive method may be used for the construction of meaningful confidence intervals for design events based on the asymptotic theory even with small samples.
We attempted to apply meaningful confidence intervals on the πN and πS estimates using coalescent simulations in DnaSP, however the small numbers of compared sequences (n = 11 for each of the temperate and tropical datasets) and low levels of nucleotide diversity (see Additional file 3) precluded our ability to do so.
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