"IN MY EXPERIENCE"... once
"IN CASE AFTER CASE"... Twice
"IN A SERIES OF CASES"... Thrice
"IT IS BELIEVED THAT"... I think.
"IT IS GENERALLY BELIEVED THAT"... A couple of others think so, too.
"CORRECT WITHIN AN ORDER OF MAGNITUDE"... Wrong.
"ACCORDING TO STATISTICAL ANALYSIS"... Rumor has it.
"A STATISTICALLY-ORIENTED PROJECTION OF THE SIGNIFICANCE OF THESE FINDINGS"...
A wild guess.