The CCRC said it looked at more than 50 individual points raised by Stone's lawyers in application and carried out a "substantial amount" of fresh forensic testing on material from the crime scene.
Detective Superintendent Simon Clarke, who is heading the new investigation into the 38-year-old mother-of-four's death said he was confident advances in science, together with fresh witness statements, would help to finally solve the crime.
From the mid-1960s he was periodically sucked in to sit on government commissions agonising over the crime rate, because no one else asked questions about it in the fresh-eyed way that he did.