We present an analysis of four years of high-precision Doppler measurements with Keck HIRES, 
searching for giant planets within 1 AU of a well-defined sample of field metal-poor dwarfs 
in the solar neighborhood. We report on variability, periodicity, and long-term 
radial-velocity trends for each star. We place upper limits on the companion mass as a 
function of orbital period and eccentricity. We examine the implications of our results for 
the observed orbital elements and mass distributions of extrasolar planets. Finally, we 
place meaningful constraints on the frequency of close-in giant planets around 
metal-deficient ([Fe/H] < -0.5) dwarfs, thereby helping to distinguish between proposed 
scenarios of gas giant planet formation.