We present results from and the analysis of data from MAXIPOL , a balloon-borne experiment designed to measure the polarization in the Cosmic Microwave Background ( CMB ) .
MAXIPOL is the first CMB experiment to obtain results using a rotating half-wave plate as a rapid polarization modulator .
We report results from observations of a sky area of 8 deg ^ { 2 } with 10-arcmin resolution , providing information up to \ell \sim 700 .
We use a maximum-likelihood method to estimate maps of the Q and U Stokes parameters from the demodulated time streams , and then both Bayesian and frequentist approaches to compute the EE , EB , and BB power spectra .
Detailed formalisms of the analyses are given .
We give results for the amplitude of the power spectra assuming different shape functions within the \ell bins , with and without a prior C _ { \ell } ^ { EB } = C _ { \ell } ^ { BB } = 0 , and with and without inclusion of calibration uncertainty .
We show results from systematic tests including differencing of maps , analyzing sky areas of different sizes , assessing the influence of leakage from temperature to polarization , and quantifying the Gaussianity of the maps .
We find no evidence for systematic errors .
The Bayesian analysis gives weak evidence for an EE signal .
The EE power is 55 ^ { +51 } _ { -45 } ~ { } \mu \mbox { K } ^ { 2 } at the 68 % confidence level for \ell = 151 – 693 .
Its likelihood function is asymmetric and skewed positive such that with a uniform prior the probability of a positive EE power is 96 % .
The powers of EB and BB signals at the 68 % confidence level are 18 ^ { +27 } _ { -34 } ~ { } \mu \mbox { K } ^ { 2 } and -31 ^ { +31 } _ { -19 } ~ { } \mu \mbox { K } ^ { 2 } respectively and thus consistent with zero .
The upper limit of the BB -mode at the 95 % confidence level is 9.5 ~ { } \mu \mbox { K } .
Results from the frequentist approach are in agreement within statistical errors .
These results are consistent with the current concordance \Lambda CDM model .