Solar energetic particle (SEP) events are related to flares and coronal mass
ejections (CMEs). This work is a new investigation of statistical relationships
between SEP peak intensities - deka-MeV protons and near-relativistic electrons
- and characteristic quantities of the associated solar activity. We consider
the speed of the CME and quantities describing the flare-related energy
release: peak flux and fluence of soft X-ray (SXR) emission, fluence of
microwave emission. The sample comprises 38 SEP events associated with strong
SXR bursts (classes M and X) in the western solar hemisphere between 1997 and
2006, and where the flare-related particle acceleration is accompanied by radio
bursts indicating electron escape to the interplanetary space. The main
distinction of the present statistical analysis from earlier work is that
besides the classical Pearson correlation coefficient the partial correlation
coefficients are calculated in order to disentangle the effects of correlations
between the solar parameters themselves. The classical correlation analysis
shows the usual picture of correlations with broad scatter between SEP peak
intensities and the different parameters of solar activity, and strong
correlations between the solar activity parameters themselves. The partial
correlation analysis shows that the only parameters that affect significantly
the SEP intensity are the CME speed and the SXR fluence. The SXR peak flux and
the microwave fluence have no additional contribution. We conclude that these
findings bring statistical evidence that both flare acceleration and CME shock
acceleration contribute to the deka-MeV proton and near-relativistic electron
populations in large SEP events.