We present a joint analysis of the power spectra of density fluctuations fr
om three independent cosmological redshift surveys : the IRAS Point Source
redshift catalog (PSCz) galaxy survey, the Automated Plate Measuring Machin
e (APM) galaxy cluster catalog, and the Abell/ACO cluster survey. Over the
range 0.03 h Mpc(-1) less than or equal to k less than or equal to 0.15 h M
pc(-1), the amplitudes of these three power spectra are related through a s
imple linear-biasing model with b = 1.5 and b = 3.6 for Abell/ACO versus AP
M and Abell/ACO versus PSCz, respectively. Furthermore, the shape of these
power spectra are remarkably similar despite the fact that they are compris
ed of significantly different objects (individual galaxies through to rich
clusters). Individually, each of these surveys shows visible evidence for "
valleys" in their power spectra-i.e., departures from a smooth featureless
spectrum-at similar wavenumbers. We use a newly developed statistical techn
ique called the false discovery rate to show that these valleys are statist
ically significant. One favored cosmological explanation for such features
in the power spectrum is the presence of a nonnegligible baryon fraction in
the universe, which causes acoustic oscillations in the transfer function
of adiabatic inflationary models. We have performed a maximum likelihood ma
rginalization over four important cosmological parameters of this model (Om
ega (m), Q(b), n(s), and H-0). We use a prior on H-0 = 69 +/- 15 and find O
mega (m) h(2) = 0.12(-0.03)(+0.02), Omega (b) h(2) = 0.029(-0.015)(+0.011),
and n(s) = 1.08(-0.20)(+0.17) (2 sigma confidence limits), which are fully
consistent with the favored values of these cosmological parameters from t
he recent cosmic microwave background (CMB) experiments. This agreement str
ongly suggests that we have detected baryonic oscillations in the power spe
ctrum of matter at a level expected from a cold dark matter model normalize
d to fit these CMB measurements.