TKOF WITHOUT CLRNC RESULTS IN TFC CONFLICT WITH DEP TFC FROM PARALLEL RWY.

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IT WAS THE FIRST FLT OF THE DAY. I AM A CHK AIRMAN AND WAS CONDUCTING IOE WITH A NEW CAPT. AS A CONSEQUENCE; I WAS PERFORMING THE CHKLIST AND HE WAS TAXIING. NEAR THE END OF THE RWY; I RPTED THAT WE WERE READY FOR TKOF AND THE TWR CLRED US INTO POS AND HOLD. WE THEN PERFORMED THE BEFORE TKOF CHKLIST AND THEN XFERRED CTL OF THE ACFT TO ME AS IT WAS MY LEG TO FLY. FOR SOME UNKNOWN REASON; AT THIS POINT I BELIEVED THAT WE WERE CLRED FOR TKOF. THE OTHER CAPT; BELIEVING THAT HE WAS BEHIND THINGS; DEFERRED TO MY ERRANT ASSUMPTION AND OFF WE WENT. ABOVE 80 KIAS ON THE ROLL; THE LCL CTLR SAID SOMETHING TO THE EFFECT 'NICE POS AND HOLD THERE ACR X.' HE ALSO INFORMED US OF A CESSNA XING OUR RWY AT ABOUT MID-FIELD WHICH HAD JUST TAKEN OFF FROM THE PARALLEL RWY. INSTANTLY; I KNEW THAT WE (I) WAS IN THE WRONG. I WAS ABLE TO FLATTEN OUR CLB ONLY SLIGHTLY WHILE MAINTAINING RWY HEADING AND WE PASSED BELOW AND SLIGHTLY BEHIND THE CESSNA. WE WERE TOO FAST TO ABORT. ENRTE TO KANSAS CITY; CTR INFORMED US TO CONTACT WICHITA ATC VIA PHONE WHEN WE REACHED OUR DEST. I DID; TALKED TO THE SUPVR WHO INDICATED THAT HE HAD LISTENED TO THE RECORDED COMS AND THAT I HAD READ BACK POS AND HOLD ON RWY 19R. UP TO THAT POINT; I HAD HOPED THAT MAYBE I READ BACK CLRED FOR TKOF. THE CTLR WAS VERY APOLOGETIC; SAYING THAT IT WAS UNUSUAL FOR US TO GET POS AND HOLD AT THAT TIME OF THE MORNING. HOWEVER; A PLTDEV RPT HAD TO BE FILED AND HE TOOK MY INFO AT THAT TIME. I REALLY FEEL BADLY ABOUT THIS EVENT. I DON'T HONESTLY KNOW HOW I CONVINCED MYSELF THAT WE WERE CLRED FOR TKOF. I FELT WELL RESTED; FREQ CONGESTION WAS NOT A FACTOR; AND I WAS FLYING WITH A RETIRED MIL PLT WHO IS VERY SHARP. AS FAR AS CORRECTIVE ACTIONS; IN DISCUSSING THIS WITH THE OTHER CAPT; IT WAS DECIDED THAT SOME DEFINITIVE ACTION HAD TO TAKE PLACE WHEN THE CLRNC FOR TKOF IS RECEIVED. OUR COMPANY HAS SET PROCS INVOLVING THE ALT ALERTER FOR CLRNCS FOR VISUALS AND LNDGS. I HAVE DECIDED THAT I WILL USE THE 8 DAY CLOCK FOR TKOF CLRNC; THAT IS; I WILL ACTIVATE THE STOP WATCH FUNCTION UPON RECEIPT OF THE CLRNC FOR TKOF. IF I DON'T SEE THE CLOCK RUNNING; I DON'T TAKE OFF. I STILL HAVE A CONCERN ABOUT 'HOLD SHORT' VERSUS 'POS AND HOLD.' THEY BOTH INCLUDE THE WORD 'HOLD.' I WISH ANOTHER TERM WOULD BE USED FOR 'POS AND HOLD.'