Batting peaks
Botham's : 1978-1982 : 56 tests, 88 innings, 3 not outs, 3204 runs @ 37.69, 11x100, 13x50
Imran's: 1982-1991 : 51 test, 65 innings, 18 not outs, 2494 run @ 53.06, 5x100, 15x50
Comments: Botham has more runs but he batted in more innings. Imran not only has a better average during his batting peak, he also produced more runs per innings. He produced less 100s -understandable because he batted lower down the order- but crossed 50+ more frequently than Botham did -30.76% of the time as opposed to 27.27% of the time. ( so much for 'lower order diggy diggy plodder theory!)
Imran also maintained his batting excellence for a decade, while Botham just cashed in during his few good years.
Bowling peaks
Botham's: 1977-1981: 44 tests, 215 wickets @ 21.74, 49.0 St/R, 18x5, 4x10
Imran's : 1980-1986 : 35 tests, 184 wickets @ 15.92 (!!!!!), 42.2 st/r. 14x5, 3x10
comments: Imran's bowling peak was mindboggling- and he suffered a broken foot directly in the middle of it - still came back and dominated with the ball. Botham's was excellent but Imran's was extraordinary.
Allrounder peaks
This is a bit more ambiguous because it is impossible to find a player who performs consistently with the bat and ball at the same time throughout their careers.
I'll take a phase where the overall performance both with bat and ball was excellent, even if there is an odd year or two thrown in where the batting or bowling failed for the said players.
For botham, i've identified 1978-1981 as the period ( in 77 he just scored 25 runs from 2 dismissals so it cant count- from 82 onwards, he fell off the wagon- in 82 his batting was excellent, where he averaged almost 50 and scored 3 tons but his bowling was dismal- he took only 37 wickets in 14 tests-thats less than 3 per test- at 37 ave. After that, he was pretty mediocre with either bat or ball or both for the rest of his career- averaged over 35 for the year only once after that and under 30 with the ball only twice)
For Imran, i've identified 1980-1988 period ( in 79 and previous to that, his performance with the bat and ball was largely ordinary. After 89, he rarely bowled much but he did bowl significantly in 89. However, his performance with the the ball in 89 was tres ordinary).
Having defined the periods, here is how they did:
format: ( mat/inn, no, t.runs, ave, c, f, twkts, ave, b-b, 5, 10, st/r)
Botham: 42/66__3__2109__33.47__8__7__205__21.82__8-34__16__4__49.2
Imran : 48/64__13__2028__39.76__4__10__236__17.77__8-54__18__5__43.6
Comments: Pretty even stevens on the batting stakes(with Imran holding the advantage) but Imran disticntly better in the bowling stakes.
Overall, Imran was a much better allrounder and i'd rank him second after Sobers in the alltime stakes, followed by Keith Miller. Botham- he was good but i'd rank him behind the abovementiond ones plus Kapil and Mankad at the very least. Imran at his best was a more consistent and solid batsman than Botham, a far superior bowler and a significantly better allrounder. Nevermind the fact that Imran blew apart the West indies batting with his bowling (while he struggled with the bat-but still did better than Botham managed) while Botham's skills wernt sufficient to compete with the calypso kings.