In this paper we present the results of the statistical analysis of high-latitude H i turbulence in the Milky Way . We have observed H i in the 21 cm line , obtained with the Arecibo The Arecibo Observatory is part of the National Astronomy and Ionosphere Center , which is operated by Cornell University under a cooperative agreement with the National Science Foundation L-Band Feed Array ( ALFA ) receiver at the Arecibo radio telescope . For recovering of velocity statistics we have used the Velocity Coordinate Spectrum ( VCS ) technique . In our analysis we have used direct fitting of the VCS model , as its asymptotic regimes are questionable for Arecibo ’ s resolution and given the restrictions from thermal smoothing of the turbulent line . We have obtained a velocity spectral index 3.87 \pm 0.11 , an injection scale of 140 \pm 80 pc , and an H i cold phase temperature of 52 \pm 11 K. The spectral index is steeper than the Kolmogorov index and can be interpreted as being due to shock-dominated turbulence .