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3) you should check for the dreaded rebounds out of bounds that do not show up in the box score.

If we assume that for each rebound each team has equal probability ot grabing it (since the ratings were very similar)
According to Bernoulli distribution, the probability of one of the teams to grab 48 or less out of 114 total rebounds is:
p=0.111

It means that in 11 games out of each 100 games like that, there will be a rebounding difference like that or bigger.

Now, if you look randomly for games with equal rebounding ratings between both teams, and the actual rebounding difference is singnificantly different than that, you will have a point.

So you got 14/64 OREB and 34/62 DREB

He got 21/62 OREB and 45/64 DREB

As I said the numbers don't add up because of the 'ghost' rebounds. out of your 64 misses, 59 were rebounded (5 disappeared, they couldn't hold onto it type of thing). Out of his 62 misses, 55 were rebounded.

Therefore there are 12 rebounds which disappeared, not enough to rebalance the count, but almost. Also at half time the rebound count was 24 (8 offensive)-26 (7 offensive) so perhaps stamina might have come into play because the discrepancy is mostly due to the fact that his offensive rebounds spiked in the rest of the game.