Gender Bias FDR test regarding data from: https://twitter.com/meganinlisbon/status/1101870079858409478

gender_bias.ipynb

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    "https://twitter.com/meganinlisbon/status/1101870079858409478"
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     "text": [
      "FDR: 0.04426 Gender Bias: CONFIRMED\n"
     ]
    }
   ],
   "source": [
    "import random\n",
    "\n",
    "women_succeed = 83\n",
    "women_total = 264\n",
    "men_succeed = 255\n",
    "men_total = 677\n",
    "\n",
    "success = women_succeed + men_succeed\n",
    "total = women_total + men_total\n",
    "women_ratio = women_succeed / women_total\n",
    "men_ratio = men_succeed / men_total\n",
    "\n",
    "found_difference = men_ratio - women_ratio\n",
    "all_samples = ['♂']*men_total + ['♀']*women_total\n",
    "\n",
    "def random_trial():\n",
    "    all_success = random.sample(all_samples, success)\n",
    "    \n",
    "    random_women_s = sum(x=='♀' for x in all_success)\n",
    "    random_men_s = success - random_women_s\n",
    "    \n",
    "    random_women_s_ratio = random_women_s / women_total\n",
    "    random_men_s_ratio = random_men_s / men_total\n",
    "    \n",
    "    return random_men_s_ratio-random_women_s_ratio >= found_difference\n",
    "\n",
    "\n",
    "trials = 100000\n",
    "fdr = sum(random_trial() for x in range(trials))/trials\n",
    "print ('FDR: {} Gender Bias: {}'.format(fdr, {True:'CONFIRMED', False: 'DISCONFIRMED'}[fdr<0.05]))"
   ]
  }
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