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The normalization algorithm is designed to resolve complications that arise from ambiguities introduced at previous step during "hard" or incomplete "simple" removal or addition of protons and in case of charged atoms resembling results of heterolytic dissociation.
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They are all based on using token tags assigned at previous steps and developed dictionaries (Table 1).
To eliminate the effect of the nonparametric uncertainties in an unmatched manner, a novel future states prediction is designed using states information at previous steps to compensate for the effect of uncertainties at the current step.
The Markov property states that the conditional probability distribution for the system at the next step (and in fact at all future steps) given its current state depends only on the current state of the system, and not additionally on the state of the system at previous steps: P ( X n + 1 X 1, X 2, …, X n ) = P ( X n + 1 X n ).
Markov property states that the conditional probability distribution for the system at the next step (and in fact at all future steps) depends only on the current state of the system, and not additionally on the state of the system at previous steps [37].
That is, a predictor variable selected for binary splitting at a given step may be " re-selected" at subsequent steps, or even " re-removed" as at previous steps.
To ensure an exhaustive sampling of homologues, we performed additional searches using as seeds homologues that were identified at previous steps.
If an ethnic minority group's mean score remained substantially different from that of white patients, then the independent variables included at that step and at previous steps could not account for the observed difference.
Next we used backwards elimination to examine the significance of each variable in the model at the α = 0.05 level, and then allowed each variable eliminated at previous steps a chance to re-enter the final model [ 36].
Consequently, such a replacement does not affect the global minimum, and trees over V 1 and V 2 in the desired solution can be legitimately considered those S (V 1) and S (V 2) that are already constructed at previous steps of the algorithm.
*Significance of Non-parametric test r, Pearson correlation; Adm., admission; THR, total Hip replacement; FIM, Functional Independence Measures; L/Es, lower extremities; P/WBAT; partial or weight bearing as tolerated *Only variables significant at p <.10 at the previous step were retained and entered in the step.
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