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Benjamin T. Vincent
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fix math rendering issue
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examples/case_studies/binning.ipynb

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"We will now empirically verify that the parameters of other distributions are recoverable using the same methods. We will approximate the distribution of [Body Mass Index](https://en.wikipedia.org/wiki/Body_mass_index) (BMI) from 2 hypothetical (simulated) studies. \n",
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"\n",
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"In the first study, the fictional researchers used a set of thresholds which give them many categories of:\n",
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"- Underweight (Severe thinness): $<16$\n",
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"- Underweight (Moderate thinness): $1617$\n",
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"- Underweight (Mild thinness): $1718.5$\n",
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"- Normal range: $18.525$\n",
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"- Overweight (Pre-obese): $2530$\n",
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"- Obese (Class I): $3035$\n",
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"- Obese (Class II): $3540$\n",
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"- Obese (Class III): $\\ge40$\n",
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"- Underweight (Severe thinness): $< 16$\n",
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"- Underweight (Moderate thinness): $16 - 17$\n",
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"- Underweight (Mild thinness): $17 - 18.5$\n",
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"- Normal range: $18.5 - 25$\n",
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"- Overweight (Pre-obese): $25 - 30$\n",
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"- Obese (Class I): $30 - 35$\n",
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"- Obese (Class II): $35 - 40$\n",
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"- Obese (Class III): $\\ge 40$\n",
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"\n",
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"The second set of researchers used a categorisation scheme recommended by the Hospital Authority of Hong Kong:\n",
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"- Underweight (Unhealthy): $< 18.5$\n",
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"- Normal range (Healthy): $18.523$\n",
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"- Overweight I (At risk): $2325$\n",
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"- Overweight II (Moderately obese): $2530$\n",
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"- Normal range (Healthy): $18.5 - 23$\n",
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"- Overweight I (At risk): $23 - 25$\n",
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"- Overweight II (Moderately obese): $25 - 30$\n",
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"- Overweight III (Severely obese): $\\ge 30$"
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]
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},

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