SleepHappy.ipynb

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    "# Predicting happiness from sleeping hours\n",
    "My friend had an old diary in which she recorded among other things how much she slept the previous day and how happy she was. I was curious to see if there was any correlation between these. So to do this I built a simple bayesian network."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Load the data\n",
    "\n",
    "Since there was not that much data I just directly typed the values into this notebook. The sleep is given in hours and the happiness is given on a scale from 0 to 6. I rescaled the happiness from 1 to 5 as that is arguably more intuitive. We can also plot sleep against happiness and see that there is no obvious correlation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "data_sleep = np.array([6, 9, 7.5, 10, 6.5, 10, 10, 6, 8, 6, 6, 6, 10, 9, 7, 7, 7.5, 8, 8, 9, 9, 7, 7, 5, 7, 7, 9, 9, 6, 7, 7, 7, 9, 7, 5, 4, 11, 10, 8, 8, 6, 9, 10, 7, 7, 7, 8, 8, 8, 7, 8, 8, 9, 10, 7, 8, 5, 7, 6, 10, 7, 7, 8, 6, 7, 10, 10, 10, 8, 5, 9, 9, 10, 9, 7, 8, 8, 8, 8, 8, 9, 9, 10, 6, 7, 7, 8, 9, 9, 7.5, 8, 8, 8, 8, 9, 10, 6, 6, 6.5, 8, 7, 5, 7.5, 8.5, 7, 7, 9], dtype=np.float32)\n",
    "data_happiness = np.array([6, 5, 2, 5, 3, 5, 3, 4, 5, 5, 3, 5, 2, 4, 3, 6, 3, 4, 5, 6, 5, 4, 3, 6, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 6, 6, 5, 3, 5, 6, 4, 6, 5, 5, 3, 3, 4, 3, 6, 4, 4, 3, 6, 5, 6, 4, 4, 5, 6, 5, 5, 4, 5, 4, 6, 5, 6, 6, 6, 4, 3, 4, 4, 0, 6, 5, 6, 3, 5, 6, 5, 6, 6, 5, 4, 3, 5, 6, 6, 2, 5, 3, 4, 6, 6, 5, 5, 4, 4, 2, 5, 5, 5, 5, 2, 4, 5], dtype=np.float32)\n",
    "data_happiness = data_happiness * 4 / 6 + 1\n",
    "\n",
    "plt.scatter(data_sleep, data_happiness, marker=\"x\")\n",
    "plt.title(\"Happiness and sleep samples\")\n",
    "plt.xlabel(\"Sleep [h]\")\n",
    "plt.ylabel(\"Happiness [1-5]\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Modelling\n",
    "So now that we have the data we need to specify a model. I chose a simple linear model with the standard deviation `sigma`, weight `w` and bias `b` and likelihood `P(sleep | happy, sigma, w, b) = N(w * happy + b, sigma)`.\n",
    "Now we need to specify the priors of the variables which is shown in the table below. Note that f or the bias we chose its mean to lie fairly certainly at the mean of the data.\n",
    "\n",
    "| Variable | Prior |\n",
    "|----------|--------|\n",
    "| `sigma` | `Half-Normal(0, 2)` |\n",
    "| `w` | `Normal(0, 2)` |\n",
    "| `b` | `Normal(mean(happiness data), 0.5)` |\n",
    "\n",
    "Now that we have the priors and likelihood we can run a sampling algorithm (ie. Metropolis-Hastings here) to sample from the posterior `P(happy | sleep, sigma, w, b)`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
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139.733332 \r\nL 388.486209 139.733332 \r\nL 388.689159 153.364194 \r\nL 389.399483 153.364194 \r\nL 389.602432 156.763355 \r\nL 390.617181 156.763355 \r\nL 390.820131 146.724559 \r\nL 394.676174 146.724559 \r\nL 394.879124 145.333949 \r\nL 396.502722 145.333949 \r\nL 396.705671 143.476333 \r\nL 398.532218 143.476333 \r\nL 398.735168 137.450577 \r\nL 400.054341 137.450577 \r\nL 400.155816 140.422303 \r\nL 400.358766 128.103307 \r\nL 400.46024 128.103307 \r\nL 400.66319 131.75945 \r\nL 400.764665 131.75945 \r\nL 400.967615 127.343895 \r\nL 407.664954 127.343895 \r\nL 407.867904 120.260441 \r\nL 408.070853 120.260441 \r\nL 408.273803 129.750844 \r\nL 410.3033 129.750844 \r\nL 410.50625 134.866349 \r\nL 411.013624 134.866349 \r\nL 411.216573 134.021292 \r\nL 411.622473 134.021292 \r\nL 411.825422 138.255261 \r\nL 412.535746 138.255261 \r\nL 412.738696 142.74753 \r\nL 412.840171 142.74753 \r\nL 413.24607 148.495475 \r\nL 413.44902 146.51584 \r\nL 414.260819 146.51584 \r\nL 414.463768 154.026302 \r\nL 415.377042 154.026302 \r\nL 415.579992 150.086373 \r\nL 421.262583 150.086373 \r\nL 421.465532 156.297213 \r\nL 422.784705 156.297213 \r\nL 422.987655 154.227809 \r\nL 425.727476 154.227809 \r\nL 425.82895 155.788844 \r\nL 426.0319 164.777248 \r\nL 426.23485 164.777248 \r\nL 426.437799 167.824582 \r\nL 427.959922 167.824582 \r\nL 428.162872 158.166238 \r\nL 428.365821 158.166238 \r\nL 428.568771 166.894254 \r\nL 429.482045 166.894254 \r\nL 429.684994 169.725811 \r\nL 429.887944 169.725811 \r\nL 430.090894 164.387368 \r\nL 430.699743 164.387368 \r\nL 430.902692 144.359313 \r\nL 432.830714 144.359313 \r\nL 433.033664 141.315377 \r\nL 435.266111 141.315377 \r\nL 435.46906 136.403289 \r\nL 435.773485 136.403289 \r\nL 435.976434 133.683316 \r\nL 436.889708 133.683316 \r\nL 437.092658 132.05709 \r\nL 439.223629 132.05709 \r\nL 439.426579 138.233014 \r\nL 439.731004 138.233014 \r\nL 439.933953 148.202132 \r\nL 440.745752 148.202132 \r\nL 440.948702 144.246867 \r\nL 441.151651 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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "prior_sigma = stats.halfnorm(0, 2)\n",
    "prior_weight = stats.norm(0, 2)\n",
    "prior_bias = stats.norm(np.mean(data_happiness), 0.5)\n",
    "\n",
    "def calculate_log_joint_prob(sigma, weight, bias):\n",
    "    log_p_sigma = prior_sigma.logpdf(sigma)\n",
    "    log_p_weight = prior_weight.logpdf(weight)\n",
    "    log_p_bias = prior_bias.logpdf(bias)\n",
    "\n",
    "    log_joint_prob = log_p_sigma + log_p_weight + log_p_bias\n",
    "\n",
    "    for sleep, happiness in zip(data_sleep, data_happiness):\n",
    "        log_joint_prob += stats.norm(weight * sleep + bias, sigma).logpdf(happiness)\n",
    "\n",
    "    return log_joint_prob\n",
    "\n",
    "def should_accept(joint_log_prob_new, joint_log_prob_old):\n",
    "    return joint_log_prob_new - joint_log_prob_old > np.log(np.random.uniform())\n",
    "\n",
    "def random_walk(value, scale=0.1):\n",
    "    \"\"\"Calculate next sample using N(value, scale)\"\"\"\n",
    "    return np.random.normal(loc=value, scale=scale)\n",
    "\n",
    "np.random.seed(0)\n",
    "\n",
    "num_samples = 5000\n",
    "num_burn_in = 5000\n",
    "\n",
    "sigma_samples = np.empty(num_samples, dtype=np.float32)\n",
    "weight_samples = np.empty(num_samples, dtype=np.float32)\n",
    "bias_samples = np.empty(num_samples, dtype=np.float32)\n",
    "\n",
    "# Set initial values and calculate their joint probability\n",
    "sigma = 1\n",
    "weight = 0\n",
    "bias = np.mean(data_happiness)\n",
    "joint_log_prob = calculate_log_joint_prob(sigma, weight, bias)\n",
    "\n",
    "# Draw some samples using Metropolis-Hastings\n",
    "for i in range(num_samples + num_burn_in):\n",
    "    # Get the next weight and calculate its joint probability\n",
    "    next_sigma, next_weight, next_bias = random_walk([sigma, weight, bias])\n",
    "    next_joint_log_prob = calculate_log_joint_prob(next_sigma, next_weight, next_bias)\n",
    "\n",
    "    # Check if we should keep the old or the new weight\n",
    "    if should_accept(next_joint_log_prob, joint_log_prob):\n",
    "        sigma, weight, bias = next_sigma, next_weight, next_bias\n",
    "        joint_log_prob = next_joint_log_prob\n",
    "\n",
    "    # Throw away the first samples as they are used for initialization\n",
    "    if i >= num_burn_in:\n",
    "        # Add variables to samples (will be either the previous one or the new one)\n",
    "        sigma_samples[i - num_burn_in] = sigma\n",
    "        weight_samples[i - num_burn_in] = weight\n",
    "        bias_samples[i - num_burn_in] = bias\n",
    "\n",
    "fig, ax = plt.subplots(3, figsize=[10, 5], sharex=True)\n",
    "# Plot the sampling trajectory\n",
    "ax[0].set_ylabel(\"Sigma\")\n",
    "ax[0].plot(sigma_samples)\n",
    "\n",
    "ax[1].set_ylabel(\"Weight\")\n",
    "ax[1].plot(weight_samples)\n",
    "\n",
    "ax[2].set_ylabel(\"Bias\")\n",
    "ax[2].plot(bias_samples)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plot histograms of variables\n",
    "Now samples holds the list of posterior samples for the variables. We can plot a histogram of these and see how certain they are given this data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "def plot_hist(name, samples, ax, title):\n",
    "    quantiles = np.quantile(samples, [0.025, 0.975])\n",
    "    ax.set_xlabel(name)\n",
    "    ax.set_ylabel(\"Occurences\")\n",
    "    ax.set_title(title)\n",
    "    ax.hist(samples, bins=10, alpha=0.7)\n",
    "    ax.axvline(np.mean(samples), c=\"red\", linestyle=\"dashed\")\n",
    "    ax.annotate(\"95%% CI: [%.2f, %.2f]\" % (quantiles[0], quantiles[1]), [quantiles[0], 40])\n",
    "    ax.hlines(20, quantiles[0], quantiles[1])\n",
    "\n",
    "fig, ax = plt.subplots(3, figsize=[10, 15])\n",
    "plot_hist(\"Sigma\", sigma_samples, ax[0], \"Sigma sample histogram\")\n",
    "plot_hist(\"Weight\", weight_samples, ax[1], \"Weight sample histogram\")\n",
    "plot_hist(\"Bias\", bias_samples, ax[2], \"Bias sample histogram\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Results\n",
    "From these histograms we can see that the average happiness is about `3.9`. There appears to be no correlation between hours of sleep and happiness in the data because almost all weight samples are close to zero and the variance is almost only described by the noise.\n",
    "We can now also sample from the posterior predictive distribution to generate more samples."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "def sample_happiness(sleep):\n",
    "    happiness_samples = np.empty(num_samples, dtype=np.float32)\n",
    "    for i in range(num_samples):\n",
    "        sigma, weight, bias = sigma_samples[i], weight_samples[i], bias_samples[i]\n",
    "        happiness_samples[i] = np.random.normal(loc=weight * sleep + bias, scale=sigma)\n",
    "    return happiness_samples\n",
    "\n",
    "sleeps = [3, 7, 11, 15]\n",
    "\n",
    "fig, axes = plt.subplots(len(sleeps), figsize=[10, 20])\n",
    "for sleep, ax in zip(sleeps, axes):\n",
    "    happiness_samples = sample_happiness(sleep)\n",
    "    plot_hist(\"Happiness [1-5]\", happiness_samples, ax, \"Histogram of happiness for %d hours of sleep\" % sleep)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Conclusion\n",
    "As expected changing the hours of sleep doesn't change the happiness much. Now this does not say that sleeping more or less does not affect ones happiness. For example it could be the case that during holidays ones sleeping patterns are more chaotic for example having very low and very high amounts of sleep. During the holidays one would feel more happy in general so the very low and very high amounts of sleep would appear to correlate even though it's just the missing holiday factor relating them. Another point is that a linear model might not be fitting here as you can see from the data that few and a lot of hours of sleep has higher happiness than the average amount of sleep."
   ]
  }
 ],
 "metadata": {
  "language_info": {
   "name": "python",
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   }
  },
  "orig_nbformat": 2,
  "file_extension": ".py",
  "mimetype": "text/x-python",
  "name": "python",
  "npconvert_exporter": "python",
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