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As the results of the two analyses were concordant, only the normal analysis is presented.
Comparison of the gene lists from published data sets with the results of our tumor versus adjacent normal analysis is complicated by the heterogeneity in samples, analysis platforms and analysis methods.
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Single nucleotide variations identified from paired tumor normal analysis were analyzed using the SIFT algorithm.
However, the expected value on the underlying scale derived from the heritability estimate obtained with the normal analysis was the same as that from the binary trait analysis, confirming that the impact of departures from normality is predictable.
As expected, the heritability estimate from the normal analysis was somewhat lower, and it can be seen that the assumption of the trait being continuous with normally distributed residuals is violated.
Note that the skew-normal analysis is much more precise than the Wilcoxon analysis of the last section.
The empirical ARE is (τ W /τα=−8)2=2.78; i.e., for this data set, the skew-normal analysis is 2.8 times more efficient than the Wilcoxon analysis.
Boag log-normal analysis was performed with an Excel programme [ 12], a computerization of Boag's original spreadsheet, with some macros that improve efficiency of the iterative maximization; it is available from PT on request.
The normal mode analysis is used to obtain the exact expressions for the considered variables.
A normal mode analysis is used to determine the stability of a set of mixed hyperbolic/elliptic equations.
A normal mode analysis is used to find solutions for the fluid layer confined between parallel plates with free-rigid boundaries.
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