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We reconsider correlations among the spectral peak energy ($E_p$), 1-secondpeak luminosity ($L_p$) and isotropic energy (\Eiso), using the databaseconstructed by \citet{yonetoku10} which consists of 109 Gamma-Ray Bursts (GRBs)whose redshifts are known and $E_p$, $L_p$ and \Eiso are well determined. Wedivide the events into two groups by their data quality. One (gold data set)consists of GRBs with peak energies determined by the Band model with four freeparameters. On the other hand, GRBs in the other group (bronze data set) haverelatively poor energy spectra so that their peak energies were determined bythe Band model with fixed spectral index (i.e. three free parameters) or by theCut-off power law (CPL) model with three free parameters. Using only the golddata set we found the intrinsic dispersion in $\log L_p$ ($=\sigma_{\rm int}$)is 0.13 and 0.22 for \tsutsui correlation ($T_L \equiv E_{\rm iso}/L_p$) and\yonetoku correlation, respectively. We also find that GRBs in the bronze dataset have systematically larger $E_p$ than expected by the correlationsconstructed with the gold data set. This means that the intrinsic dispersion ofcorrelations among $E_p$, $L_p$, and \Eiso of GRBs depends on the quality ofdata set. At present, using \tsutsui correlation with gold data set, we wouldbe able to determine the luminosity distance with $\sim 16%$ error, which mightbe useful to determine the nature of the dark energy at high redshift $z > 3$.

Intrisic Dispersion of Correlations among Ep, Lp, and Eiso of Gamma Ray Bursts depends on the quality of Data Set