Top_Cat
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If you're going to make the distribution argument, though, arbitrarily setting a number of innings' cut-off won't work either, no batters' distributions would look the same especially taking into account wildly different freqs when it comes to how many times they've played against different opposition/matches per country/etc. Even raw runs scored by a batter in an innings, as I've said many times on this site, is a very insensitive measure. I liken it to climbing both Everest and Kilimanjaro and deciding Everest was tougher purely by counting the number of steps.
A serious analysis of Anyone vs Anyone would require the identification of strata and systematic samples taken otherwise you're arguing noise vs noise with no idea of what the signal is. Even then, only taking raw runs into account, you're missing a great deal of the picture of each inning so there'll be strong caveats associated with any conclusions drawn which may even render the whole exercise worthless.
A serious analysis of Anyone vs Anyone would require the identification of strata and systematic samples taken otherwise you're arguing noise vs noise with no idea of what the signal is. Even then, only taking raw runs into account, you're missing a great deal of the picture of each inning so there'll be strong caveats associated with any conclusions drawn which may even render the whole exercise worthless.