An Instructor; after making the appropriate CTAF radio calls at BKT; was back taxiing on Runway 22 when another aircraft; which made no radio calls; attempted to land but executed a go around before nearly colliding with him.

Narrative

During flights at Blackstone Army Airfield I was the PIC with five passengers onboard in a training capacity. Runway 22 was the active runway and due to a restricted area being active. Right traffic was effective. I entered 45 degrees to the downwind; and did radio calls on the 45; downwind; base and final. After landing; I then did a 180 to back taxi on Runway 22 to the ramp. I announced on the CTAF/122.95 'FLIGHT is back taxi Runway 22; Blackstone' I was approximately half way back on the runway and visualized another aircraft in the right base position. This aircraft made no radio calls on the CTAF. As the aircraft turned based to final; I pulled my aircraft to the far right side of the runway; came to a complete stop and ensured all taxi; landing; strobes and NAV lamps were on. I again called on CTAF that I was back taxiing on Runway 22 and the other aircraft continued the approach and entered the landing flare. At this time I called on the radio to the pilot saying 'You are going around; right?' I then heard the pilot apply power and begin his go around. He flew over our heads by 100 to 150 feet at the maximum. Later; in conversation with this pilot he stated he heard our conversations and he stated he made calls. No one in our aircraft heard his radio calls and he still continued his landing approach. If he heard our calls of back taxi; then he should have never continued his approach into a landing flare and should have gone around sooner than when the airplane is in ground effect.