Take a look for yourself! http://www.disastercenter.com/crime/nycrime.htm
The statistics you point to show that the rates for various crimes came down much more dramatically during Giuliani's term in office. The murder rate when he took office in 1993 was 2,420. When he left office it was 960. That represents an extreme difference. To deny him credit for the dramatic reduction in crime is ridiculous. I know what this city was like before Giuliani became Mayor and what it was like after he left.