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   "source": [
    "# Practicum 2 Review - Key Concepts"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1b709152-eb22-462f-bc09-4d6206462cf3",
   "metadata": {},
   "source": [
    "## Resources Allowed"
   ]
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   "source": [
    "- Your laptop\n",
    "- Any Jupyter notebooks available on your laptop\n",
    "- Resources available from the course syllabus\n",
    "- Libraries introduced by Data 8 (e.g. datascience, numpy, etc.)\n",
    "- A double-sided sheet of notes\n",
    "- The internet (to submit your solution to Canvas, to access library reference documentation)\n",
    "- NOT allowed: All other uses of the internet (e.g. Generative AI, e-mail, stack overflow, asking Google how to do something, etc.)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e14442c0-8ac8-4a84-9c21-6c254aa064d3",
   "metadata": {},
   "source": [
    "## Chapter 9 - Randomness"
   ]
  },
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   "metadata": {},
   "source": [
    "- Use np.random\n",
    "- Augment arrays (np.append)\n",
    "- Conduct a simulation \n",
    "- Calculate simple probabilities"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "59fd9e82-c840-4961-8405-70fc45b14f8b",
   "metadata": {},
   "source": [
    "## Chapter 10 - Sampling and Empirical Distributions"
   ]
  },
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   "id": "7da18b82-dab4-4dcd-b004-56c9aeb8f58d",
   "metadata": {},
   "source": [
    "- Probability Sample\n",
    "- Random vs. Deterministic Sample\n",
    "- Convenience Sample\n",
    "- Statistic\n",
    "- some_table.sample(n), some_table.sample(n, with_replacement=False)\n",
    "- sample_proportions(sample_size, sample_proportions)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b9eddb65-6a87-4a26-aee5-dd71c19c91a1",
   "metadata": {},
   "source": [
    "## Chapter 11 - Testing Hypotheses"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b79a8081-5716-42d1-889e-815fddc787fe",
   "metadata": {},
   "source": [
    "- Total Variation Distance (between 2 or more distributions)\n",
    "- Simulate a statistic (such as TVD)\n",
    "- P-value (statistically significant, highly statistically significant)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5a03d680-980e-4ce8-9581-8ac2dcbf6999",
   "metadata": {},
   "source": [
    "## Chapter 12 - Comparing Two Samples"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "41d2a214-5a5c-4b3b-b1d6-b36960727519",
   "metadata": {},
   "source": [
    "- A/B Testing\n",
    "- Causality vs. Association"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6f85e3c5-1541-466a-8a2c-e6edff7926bb",
   "metadata": {},
   "source": [
    "## Chapter 13 - Estimation (material through 13.3)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a88d0d9b-166c-4e9d-a9b6-eb796414aea3",
   "metadata": {},
   "source": [
    "- percentile function (first quartile, median, third quartile)\n",
    "- bootstrap method (resampling from the sample)\n",
    "- confidence interval\n",
    "- using confidence intervals to test a null hypothesis (or alternative hypothesis)"
   ]
  }
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