Analysis of a golfer's putting stroke towards a target-hole (2) is derived by an analyzer (12;50) from sensor-signals representative of initial ball-speed and direction, using accumulated sets of historical putting-data, each set of historical data including initial putted ball-speed and direction and the resultant ball-speed and direction in approach to the target-hole (2), together with representation of whether the putt was successful. Initial ball-speed and direction is sensed by opto-electronic sensors (45) responding to back-reflection of infrared beams (13) from retro-reflectors (22-26) on the putted ball (1;20;52), or, is using retro-reflectors (71-73; 77,75) on the putter (3;51;70;74). Resultant ball-speed and direction in approach to the target-hole (2), and whether the putt is successful, is sensed by a monitor (7) from infrared beams (8-10).