A B737-300 PIC CONTINUES TKOF AFTER HE NOTES A CTL COLUMN ANOMALY LATER DESCRIBED AS A 'DEAD SPOT' IN THE ELEVATOR TRAVEL AT PHX; AZ.

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ON TKOF ROLL; I PUSHED THE CTL COLUMN FORWARD. HOWEVER; I DIDN'T NOTICE 'NORMAL' ELEVATOR AUTH. AT VR; I PULLED BACK ON THE CTL COLUMN AND NOTICED A 'DEAD SPOT' IN THE ELEVATOR TRAVEL. AS I KEPT SLOWLY PULLING AFT; THE ACFT RAPIDLY ROTATED. INFLT; ALL FLT CTLS AND INDICATIONS WERE NORMAL. I CALLED DISPATCH AND MAINT CTL AND BOTH SAID TO CONTINUE TO SAT. I SAID I'D LIKE SAT MECHS TO LOOK AT THE ACFT UPON ARR. THE FLT WAS NORMAL AND THE FLT CTLS OPERATED NORMALLY AT ALL AIRSPDS AND CONFIGNS. UPON LNDG; I PUSHED THE CTL COLUMN FULL FORWARD AND GOT WHAT SEEMED LIKE LIMITED ELEVATOR RESPONSE. I WROTE THE FOLLOWING DISCREPANCY UPON ARR IN SAT. 'ON TKOF; DEAD BAND NOTED. LIMITED NOSE-DOWN AUTH. PULLING BACK ON CTL COLUMN GAVE NO RESPONSE FOR A FEW INCHES THEN SUDDEN NOSE-UP RESPONSE. FLT CTLS NORMAL INFLT; ANY FLAP SETTING; ANY SPD.' THE MECHS FOUND A BROKEN SPRING IN THE FEEL MECHANISM. SINCE THE ACFT WAS FLYING NORMALLY; AND AFTER A CONSULTATION WITH DISPATCH AND MAINT CTL; WE ELECTED TO FLY TO SAN ANTONIO. HAD WE RETURNED TO PHX; WE WOULD HAVE HAD AN OVERWT LNDG.