Using Monte Carlo simulation it is shown that in low multiplicity events the single-event factorial moments are saturated by the statistical fluctuations. The diversification of the event-space moments Cp, q of single-event moments with the diminishing of phase space scale, called "erraticity", observed in experiment can readily be reproduced by a flat probability distribution with only statistical fluctuations and therefore it has nothing to do with chaos as suggested. The possibility of studying chaos in high multiplicity events using erraticity analysis is discussed.