PA-28 Cherokee/Archer/Dakota/Pillan/Warrior
Flight Crew Flight Instructor; Flight Crew Instrument; Flight Crew Multiengine; Flight Crew Air Transport Pilot (ATP)
Flight Crew Last 90 Days 20; Flight Crew Total 6500; Flight Crew Type 2500
Human-Machine Interface; Situational Awareness; Communication Breakdown
Conflict NMAC
Flight Crew Took Evasive Action; Flight Crew Became Reoriented
Human Factors; Procedure
I was departing my home airport Runway XX straight out to 900 feet and then continued climbing on [a] 45-degree left departure to 1;500 feet. Was out 3 miles heading north at 1;500 feet and turned right to 120 degrees. A Cessna 182 reports as departing Runway XX and when I turned to east; he said he was 100 feet below me. I didn't see an airplane anywhere around me and asked him where he was at. When he asked again what I was doing; I said I was heading east and he replied that I turned again; which I didn't. Then he said never mind It's not you; it's another aircraft. I then said where are you at and he said never mind. Then I heard him ask another aircraft what he was doing.I wanted to report this as I did not want to take a chance and have him have a conflict with another aircraft and use my number; as it was busy at the airport with students and other planes. What I have surmised is he was probably on a departure and had another aircraft in his sight; but he saw me in front on [the] taxiway for departure and remembered my aircraft number. I had seen the that same Cessna 182 on a mid-runway taxiway earlier and it looked like there was an instructor in the aircraft with a student. [I] must be constantly vigilant around flight school active general aviation airports with eyes always scanning. I've been instructor since the 1970s and it continues to be see-and-avoid around small airports.
PA-28 pilot reported a near midair collision after another pilot became confused over the location of other aircraft in relation to own during takeoff.