Pilot reported an opposite direction arrival and the reporters aircraft where in a conflict on departure.

Narrative

ASOS obtained on ramp reported winds 110 degrees at 9 kts. so taxied to Runway 18 for departure. Received clearance from Wichita Approach Clearance Delivery 125.0 and advised to contact Wichita Approach on 134.8 for release. After initial hold for release; Departure advised release for departure and fly runway heading. Announced departure as taking runway on Unicom 122.7. On take-off roll traffic on final landing [Runway] 36 asked if I had not heard him report final landing 36 at AAO and I did not see him until that time. Evidently; I missed his call when talking on departure frequency. I stated traffic had been landing and departing Runway 18 but he stated winds were now 090. Approaching aircraft went around and over-flew my take-off. As I was coming into AAO earlier that day I heard a similar radio conversation between traffic landing using opposite ends of the runway at AAO. Runwya 36 is designated as calm winds runway which would probably apply to direct crosswind but due to near thunderstorm activity; winds must have changed from my taxi from the runway to departure end. Failure to adequately monitor Unicom while talking to departure contributed to this conflict.