He then drew a comparison between the judges, &c., of this country before the revolution, who were dependent on Great Britain for their salaries, and those representatives dependent on the Continent.
As James Madison wrote in the Federalist papers, our democracy should have representatives "dependent on the people alone".
The principal components analysis did not lead to a further reduction of the dependent variables or the identification of representative dependent variables.
In this specific study the principal component analysis was not able to reduce the dependent variables or identify representative dependent variables due to the almost unanimous positive response when asked for the satisfaction with the PCV2 vaccination.
Conclusively, the results of the principal component analysis did not lead to a further reduction of dependent variables or selection of a representative dependent variable, because of the correlation structure amongst them.
However, one should be extremely careful in making inferences from a nonprobability sample; whether or not the sample is representative is dependent on the judgment of the individuals designing and conducting the survey and not on sound statistical principles.
To the best of our knowledge, these are the first simulation results for representative time-dependent three-dimensional two-fluid flow problems using an implicit treatment of the surface tension and a dynamic unstructured anisotropic mesh adaptation.
The resulting laser driven reaction dynamics is then simulated in terms of representative time-dependent wave packets moving on the coupled PES, together with corresponding pump probe spectrum of the parent ion, CpMn(CO)+3.
(1) Under 38 U.S.C. 1725(d)(4), the veteran (or the veteran's personal representative, successor, dependents, or survivors) or claimant shall ensure that the Secretary is promptly notified of any payment received from any third party for emergency treatment furnished to the veteran.
The veteran (or the veteran's personal representative, successor, dependents, or survivors) or claimant shall immediately forward all documents relating to such payment, cooperate with the Secretary in the investigation of such payment and assist the Secretary in enforcing the United States' right to recover any payment made and accepted under this section.
(1) Any amount paid by the United States to the veteran (or the veteran's personal representative, successor, dependents, or survivors) or to any other person or organization paying for such treatment shall constitute a lien in favor of the United States against any recovery the payee subsequently receives from a third party for the same treatment.
