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In our work on the development of a model-independent data analysis methodfor estimating the spin-independent (SI) scalar coupling of Weakly InteractingMassive Particles (WIMPs) on nucleons by using measured recoil energies fromdirect Dark Matter detection experiments directly, it was assumed that theanalyzed data sets are background-free, i.e., all events are WIMP signals. Inthis article, as a more realistic study, we take into account a fraction ofpossible residue background events, which pass all discrimination criteria andthen mix with other real WIMP-induced events in our data sets. Our simulationsshow that, for the estimation of the SI WIMP-nucleon coupling, the maximalacceptable fraction of residue background events in the analyzed data set ofO(50) total events is ~ 10% - 20%. For a WIMP mass of 100 GeV and 20% residuebackground events, the systematic deviation of the reconstructed SI WIMPcoupling (with a reconstructed WIMP mass) would in principle be ~ +13% with astatistical uncertainty of ~ ^{+21%}_{-14%} (~ -3.3%^{+18%}_{-13%} forbackground-free data sets).

Effects of Residue Background Events in Direct Dark Matter Detection Experiments on the Estimation of the Spin-Independent WIMP-Nucleon Coupling