  Three different noise moments of field strength, intensity, and their
correlations are simultaneously measured. For this purpose a homodyne
cross-correlation measurement [W. Vogel, Phys. Rev. A 51, 4160 (1995)] is
implemented by superimposing the signal field and a weak local oscillator on an
unbalanced beam splitter. The relevant information is obtained via the
intensity noise correlation of the output modes. Detection details like quantum
efficiencies or uncorrelated dark noise are meaningless for our technique. Yet
unknown insight in the quantumness of a squeezed signal field is retrieved from
the anomalous moment, correlating field strength with intensity noise. A
classical inequality including this moment is violated for almost all signal
phases. Precognition on quantum theory is superfluous, as our analysis is
solely based on classical physics.
