THE CESSNA MADE A LONG STRAIGHT IN FINAL APPROACH. THE AIRCRAFT'S RADIO TRANSMITTER WAS INOP. AFTERWARD THE CESSNA PIC RPTED THAT INITIALLY HE SAW THE BEECH ON A LEFT BASE. LATER HE STATED THE BEECH WAS HEADING AWAY FROM THE TRAFFIC PATTERN. WITNESSES DESCRIBED THE BEECH FLYING A NORMAL TRAFFIC PATTERN AND ARRIVING ON FINAL ABOVE & SLIGHTLY BEHIND THE CESSNA. THE BEECH BEGAN A STEEPER, FASTER DESCENT & COLLIDED WITH THE CESSNA FROM BEHIND. THE INVESTIGATION UNCOVERED INTENSE ANIMOSITY BETWEEN THE CESSNA OPERATORS AND THE FLIGHT SCHOOL WHERE THE BEECH WAS BASED. CORPORATE PILOTS COMPLAINED ABOUT TRAFFIC PATTERN DISCOURTESY BY TWO ACFT WHOSE DESCRIPTIONS MATCHED THE ACFT INVOLVED IN THIS COLLISION. A WITNESS REPORTED HEARING THE BEECH MAKING POSITION REPORTS IN THE PATTERN. ANOTHER WITNESS STATED THAT THE CESSNA RADIO WAS RECEIVING SATISFACTORILLY.