AN LGT FGT CREW GOT A STICK SHAKER WARNING AT NIGHT IN THE WX.

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THE FO WAS FLYING AND I WAS WORKING THE RADIOS. WE WERE BEING VECTORED BY APCH CTL AT SDF ARPT. WE WERE GIVEN A VECTOR TO TURN L FROM APPROX E TO N. THE FO ROLLED INTO APPROX A 25 DEG BANK TO THE ASSIGNED HDG. ALSO; HE WAS AT APPROX 210 KTS WHICH WAS THE ASSIGNED SPD; MANEUVERING SPD FOR THIS ACFT AT 154000 LBS IS 200 KTS CLEAN. THIS WILL GIVE YOU A 30 DEG BANK WITH 15 DEGS OVER BANK PROTECTION OR A TOTAL OF 45 DEGS OF BANK WITHOUT SETTING OFF THE STICK SHAKER. WHILE ROLLING OUT OF THE BANK AND PASSING 20 DEGS OF BANK THE STICK SHAKER WENT ON. THE FO MADE NO CORRECTIONS WHILE HE WAS TRYING TO FIND THE CAUSE FOR STICK SHAKER ACTIVATION. I TOLD HIM TO MAKE A STANDARD RECOVERY. HE APPLIED MAX THRUST BUT STARTED A CLB. HE DID NOT COMPENSATE FOR THE EXTRA THRUST AND MAINTAIN LEVEL FLT. THE ACFT STARTED A SHALLOW CLB AND LOST 10 KTS AIRSPD. THE STICK SHAKER CONTINUED. AT THIS TIME I TOOK CTL AND STARTED A DSCNT. AT 200 FT BELOW ASSIGNED ALT THE STICK SHAKER STOPPED. I CONTINUED DSCNT TO 500 FT BELOW ALT BEFORE CLBING BACK TO ASSIGNED ALT. I THINK AN INITIAL PROPER RECOVERY WOULD HAVE PREVENTED THE ALT LOSS. ALSO; I THINK WE HAD A FALSE STICK SHAKER. I WROTE IT UP AND MAINT IS LOOKING INTO THE PROB.