Family Expected mean Observed mean Expected std dev Observed std dev Gaussian -5 -5.00401834387778 1 0.997252988595002 Gaussian -5 -5.0190052295984 2 2.00678882390378 Gaussian -5 -4.96463543546344 4 3.99292635405888 Gaussian 0 0.00801795795711958 1 1.00271079455291 Gaussian 0 0.00981414053478771 2 1.99427972552452 Gaussian 0 0.00203152159152934 4 3.95457442750781 Gaussian 5 5.00061770017728 1 1.00035811842627 Gaussian 5 5.00472783770304 2 1.99077016111086 Gaussian 5 4.97268934215176 4 3.9850955378348 Negative binomial 16 16.0030833333333 7.11683082274337 7.15469067183853 Negative binomial 32 31.9650625 11.8383857314586 11.8245861719789 Negative binomial 64 64.0416875 19.335676666214 19.3007502565061 Negative binomial 128 127.845625 30.724935049862 30.6199845092702 Negative binomial 256 256.0589375 48.1098353239027 48.2819819341698 Negative binomial 512 512.215479166667 76.4294857420212 76.5834165739491 Negative binomial 1024 1024.23216666667 128.452681497336 128.517726852886