DURING TKOF ROTATION; FO; FLYING B737-300; NOTICED THAT HIS PITOT STATIC SUPPLIED INSTS WERE REACTING ERRATICALLY. FLT CTL WAS TURNED OVER TO THE CAPT AND THE FLT CONTINUED TO DEST. COMPANY MAINT FOUND THAT PITOT STATIC SUPPLY LINES TO THE #2 AIR DATA COMPUTER WERE NOT CONNECTED.

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A THOROUGH PREFLT HAD BEEN COMPLETED. THE LOGBOOK INDICATED SEVERAL MAINT WRITE-UPS FOR AN AVIONICS EQUIPMENT COOLING FAN INOP; WHICH WAS REPAIRED AND REPLACED. THE ACFT WAS SIGNED OFF AS AIRWORTHY. APPROX 10 MINS LATER THE ACFT DEPARTED RWY 35R AT COS. AT APPROX 80-90 KTS THE FO (PF) STATED 'SOMETHING DOESN'T SEEM RIGHT.' THE ACFT WAS LIGHT AND CONTINUED TO ACCELERATE TO V1. I CALLED V1-VR AND THE FO ROTATED AND DEPARTED. ONCE AIRBORNE THE FO STATED; I HAVE NOTHING OVER HERE. AS WE ANALYZED THE SIT IT BECAME APPARENT THE FO'S PANELS WERE NOT FUNCTIONING. I XFERRED CTL AND BECAME THE PF. WE CONTINUED TO TROUBLESHOOT THE PROB WITH NO RESULTS. WE WERE BY THIS TIME IN CRUISE AND OVER ALAMOSO. DISPATCH AND MAINT CTL WERE NOTIFIED AND WE ELECTED TO CONTINUE TO PHX. ARRIVING IN PHX WITHOUT INCIDENT; THE ACFT WAS INSPECTED AND THE AIR DATA COMPUTER'S AIR SUPPLY WAS FOUND DISCONNECTED TO THE #2 COMPUTER. IN CHANGING THE EQUIP COOLING FAN THE AIR SUPPLY WAS DISCONNECTED TO ALLOW EASY ACCESS AND NEVER RECONNECTED. 3 MECHS WORKED ON THIS FAN AND A SUPVR SIGNED OFF THE ACFT. CONTINUED WORK NEEDED ON CREW COM. THE FO'S UNCLR STATEMENTS ALLOWED THE ACFT TO BECOME AIRBORNE. I WAS TOO FIXATED ON MY SIDE OF THE ACFT.