K. Ganga et al., UCSB SOUTH-POLE 1994 COSMIC MICROWAVE BACKGROUND ANISOTROPY MEASUREMENT CONSTRAINTS ON OPEN AND FLAT-LAMBDA COLD DARK-MATTER COSMOGONIES, The Astrophysical journal, 484(1), 1997, pp. 7-30
We develop methods to account for experimental and observational uncer
tainties in likelihood analyses of data from cosmic microwave backgrou
nd (CMB) anisotropy experiments and apply them to an analysis of the U
CSB South Pole 1994 (SP94) experiment. Observationally motivated open
and spatially hat A, cold dark matter cosmogonies are considered. Amon
g the models we consider, the full SP94 data set is most consistent wi
th Ohm(0) similar to 0.1-0.2 open models and less so with old (t(0) gr
eater than or similar to 2 15-16 Gyr), high baryon density (Ohm(B) gre
ater than or similar to 0.0175 h(-2)), low density (Ohm(0) similar to
0.2-0.4), flat-Lambda models. The SP94 data do not rule out any of the
models we consider at the 2 sigma level. The SP94 experiment is most
sensitive to anisotropies on a somewhat larger, model-dependent, angul
ar scale than the scale at which the window function peaks. For establ
ishing the significance of a detection of CMB anisotropy we derive lim
its using the highest posterior density (HPD) prescription, since it y
ields smaller lower limits. Since HPD limits lead to tighter constrain
ts on the CMB amplitude, they also provide for greater discrimination
between models. Model normalizations deduced from the SP94 data subset
s are mostly consistent with those deduced from the 2 yr COBE-DMR data
, although the Ka-band data prefer a normalization similar to 1 sigma
lower than do the Q-band data, the Q and Ka + Q data favor a slightly
higher normalization for the Ohm(0) = 0.1 open model than does the DMR
, and the Ka and Ka + Q data prefer a somewhat lower normalization for
the older, higher Ohm(B), low-density A models than does the DMR.