{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Time-lagged conversion rates and cure models\n", "\n", "Suppose in our population we have a subpopulation that will never experience the event of interest. Or, for some subjects the event will occur so far in the future that it's essentially at time infinity. The survival function should not asymptically approach zero, but _some positive value_. Models that describe this are sometimes called cure models (i.e. the subject is \"cured\" of death and hence no longer susceptible) or time-lagged conversion models. \n", "\n", "There's a serious fault in using parametric models for these types of problems that non-parametric models don't have. The most common parametric models like Weibull, Log-Normal, etc. all have strictly increasing cumulative hazard functions, which means the corresponding survival function will always converge to 0. \n", "\n", "Let's look at an example of this problem. Below I generated some data that has individuals who _will not experience the event_, not matter how long we wait." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "%config InlineBackend.figure_format = 'retina'\n", "\n", "from matplotlib import pyplot as plt\n", "import autograd.numpy as np\n", "from autograd.scipy.special import expit, logit\n", "import pandas as pd\n", "plt.style.use('bmh')\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "N = 200\n", "U = np.random.rand(N)\n", "T = -(logit(-np.log(U) / 0.5) - np.random.exponential(2, N) - 6.00) / 0.50\n", "\n", "E = ~np.isnan(T)\n", "T[np.isnan(T)] = 50" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Survival function estimated by KaplanMeier')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 277, "width": 480 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from lifelines import KaplanMeierFitter\n", "kmf = KaplanMeierFitter().fit(T, E)\n", "kmf.plot(figsize=(8,4))\n", "plt.ylim(0, 1);\n", "plt.title(\"Survival function estimated by KaplanMeier\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It should be clear that there is an asymptote at around 0.6. The non-parametric model will always show this. If this is true, then the cumulative hazard function should have a horizontal asymptote as well. Let's use the Nelson-Aalen model to see this. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Cumulative hazard estimated by NelsonAalen')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 277, "width": 480 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from lifelines import NelsonAalenFitter\n", "\n", "naf = NelsonAalenFitter().fit(T, E)\n", "naf.plot(figsize=(8,4))\n", "plt.title(\"Cumulative hazard estimated by NelsonAalen\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "_However_, when we try a parametric model, we will see that it won't extrapolate very well. Let's use the flexible two parameter LogLogisticFitter model. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 260, "width": 703 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from lifelines import LogLogisticFitter\n", "\n", "fig, ax = plt.subplots(nrows=1, ncols=2, figsize=(12, 4))\n", "\n", "t = np.linspace(0, 40)\n", "llf = LogLogisticFitter().fit(T, E, timeline=t)\n", "\n", "t = np.linspace(0, 100)\n", "llf = LogLogisticFitter().fit(T, E, timeline=t)\n", "\n", "llf.plot_survival_function(ax=ax[0])\n", "kmf.plot(ax=ax[0])\n", "\n", "llf.plot_cumulative_hazard(ax=ax[1])\n", "naf.plot(ax=ax[1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The LogLogistic model does a quite terrible job of capturing the not only the asymptotes, but also the intermediate values as well. If we extended the survival function out further, we would see that it eventually nears 0. \n", "\n", "### Custom parametric models to handle asymptotes\n", "\n", "Focusing on modeling the cumulative hazard function, what we would like is a function that increases up to a limit and then tapers off to an asymptote. We can think long and hard about these (I did), but there's a family of functions that have this property that we are very familiar with: cumulative distribution functions! By their nature, they will asympotically approach 1. And, they are readily available in the SciPy and autograd libraries. So our new model of the cumulative hazard function is:\n", "\n", "$$H(t; c, \\theta) = c F(t; \\theta)$$\n", "\n", "where $c$ is the (unknown) horizontal asymptote, and $\\theta$ is a vector of (unknown) parameters for the CDF, $F$. \n", "\n", "We can create a custom cumulative hazard model using `ParametricUnivariateFitter` (for a tutorial on how to create custom models, see [this here](Piecewise Exponential Models and Creating Custom Models.ipynb)). Let's choose the Normal CDF for our model. \n", "\n", "Remember we **must** use the imports from `autograd` for this, i.e. `from autograd.scipy.stats import norm`." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "from autograd.scipy.stats import norm\n", "from lifelines.fitters import ParametricUnivariateFitter\n", "\n", "\n", "class UpperAsymptoteFitter(ParametricUnivariateFitter):\n", "\n", " _fitted_parameter_names = [\"c_\", \"mu_\", \"sigma_\"]\n", "\n", " _bounds = ((0, None), (None, None), (0, None))\n", "\n", " def _cumulative_hazard(self, params, times):\n", " c, mu, sigma = params\n", " return c * norm.cdf((times - mu) / sigma, loc=0, scale=1)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
modellifelines.UpperAsymptoteFitter
number of observations200
number of events observed83
log-likelihood-382.304
hypothesisc_ != 1, mu_ != 0, sigma_ != 1
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coefse(coef)coef lower 95%coef upper 95%zp-log2(p)
c_0.5390.0600.4220.657-7.701<0.000546.069
mu_17.3970.52716.36418.42933.015<0.0005791.632
sigma_4.7460.3694.0225.47010.142<0.000577.880
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AIC770.608
\n", "
" ], "text/latex": [ "\\begin{tabular}{lrrrrrrr}\n", "\\toprule\n", "{} & coef & se(coef) & coef lower 95\\% & coef upper 95\\% & z & p & -log2(p) \\\\\n", "\\midrule\n", "c\\_ & 0.539 & 0.060 & 0.422 & 0.657 & -7.701 & 0.000 & 46.069 \\\\\n", "mu\\_ & 17.397 & 0.527 & 16.364 & 18.429 & 33.015 & 0.000 & 791.632 \\\\\n", "sigma\\_ & 4.746 & 0.369 & 4.022 & 5.470 & 10.142 & 0.000 & 77.880 \\\\\n", "\\bottomrule\n", "\\end{tabular}\n" ], "text/plain": [ "\n", " number of observations = 200\n", "number of events observed = 83\n", " log-likelihood = -382.304\n", " hypothesis = c_ != 1, mu_ != 0, sigma_ != 1\n", "\n", "---\n", " coef se(coef) coef lower 95% coef upper 95% z p -log2(p)\n", "c_ 0.539 0.060 0.422 0.657 -7.701 <0.0005 46.069\n", "mu_ 17.397 0.527 16.364 18.429 33.015 <0.0005 791.632\n", "sigma_ 4.746 0.369 4.022 5.470 10.142 <0.0005 77.880\n", "---\n", "AIC = 770.608" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 244, "width": 480 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "uaf = UpperAsymptoteFitter().fit(T, E)\n", "uaf.print_summary(3)\n", "uaf.plot(figsize=(8,4))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We get a lovely asympotical cumulative hazard. The summary table suggests that the best value of $c$ is 0.586. This can be translated into the survival function asymptote by $\\exp(-0.586) \\approx 0.56$.\n", "\n", "Let's compare this fit to the non-parametric models. " ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 369, "width": 591 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(nrows=2, ncols=2, figsize=(10, 6))\n", "\n", "t = np.linspace(0, 40)\n", "uaf = UpperAsymptoteFitter().fit(T, E, timeline=t)\n", "\n", "uaf.plot_survival_function(ax=ax[0][0])\n", "kmf.plot(ax=ax[0][0])\n", "\n", "uaf.plot_cumulative_hazard(ax=ax[0][1])\n", "naf.plot(ax=ax[0][1])\n", "\n", "t = np.linspace(0, 100)\n", "uaf = UpperAsymptoteFitter().fit(T, E, timeline=t)\n", "uaf.plot_survival_function(ax=ax[1][0])\n", "kmf.survival_function_.plot(ax=ax[1][0])\n", "\n", "uaf.plot_cumulative_hazard(ax=ax[1][1])\n", "naf.plot(ax=ax[1][1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I wasn't expecting this good of a fit. But there it is. This was some artificial data, but let's try this technique on some real life data. " ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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modellifelines.UpperAsymptoteFitter
number of observations42
number of events observed30
log-likelihood-118.60
hypothesisc_ != 1, mu_ != 0, sigma_ != 1
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coefse(coef)coef lower 95%coef upper 95%zp-log2(p)
c_1.630.360.942.331.780.073.75
mu_13.441.7310.0616.827.79<0.00547.07
sigma_7.031.074.949.125.65<0.00525.91
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AIC243.20
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" ], "text/latex": [ "\\begin{tabular}{lrrrrrrr}\n", "\\toprule\n", "{} & coef & se(coef) & coef lower 95\\% & coef upper 95\\% & z & p & -log2(p) \\\\\n", "\\midrule\n", "c\\_ & 1.63 & 0.36 & 0.94 & 2.33 & 1.78 & 0.07 & 3.75 \\\\\n", "mu\\_ & 13.44 & 1.73 & 10.06 & 16.82 & 7.79 & 0.00 & 47.07 \\\\\n", "sigma\\_ & 7.03 & 1.07 & 4.94 & 9.12 & 5.65 & 0.00 & 25.91 \\\\\n", "\\bottomrule\n", "\\end{tabular}\n" ], "text/plain": [ "\n", " number of observations = 42\n", "number of events observed = 30\n", " log-likelihood = -118.60\n", " hypothesis = c_ != 1, mu_ != 0, sigma_ != 1\n", "\n", "---\n", " coef se(coef) coef lower 95% coef upper 95% z p -log2(p)\n", "c_ 1.63 0.36 0.94 2.33 1.78 0.07 3.75\n", "mu_ 13.44 1.73 10.06 16.82 7.79 <0.005 47.07\n", "sigma_ 7.03 1.07 4.94 9.12 5.65 <0.005 25.91\n", "---\n", "AIC = 243.20" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "---\n", "Estimated lower bound: 0.20 (0.10, 0.10)\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 260, "width": 480 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from lifelines.datasets import load_leukemia, load_kidney_transplant\n", "\n", "T, E = load_leukemia()['t'], load_leukemia()['status']\n", "uaf.fit(T, E)\n", "ax = uaf.plot_survival_function(figsize=(8,4))\n", "uaf.print_summary()\n", "\n", "kmf.fit(T, E).plot(ax=ax, ci_show=False)\n", "print(\"---\")\n", "print(\"Estimated lower bound: {:.2f} ({:.2f}, {:.2f})\".format(\n", " np.exp(-uaf.summary.loc['c_', 'coef']),\n", " np.exp(-uaf.summary.loc['c_', 'coef upper 95%']),\n", " np.exp(-uaf.summary.loc['c_', 'coef upper 95%']),\n", " )\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So we might expect that about 20% will not have the even in this population (but make note of the large CI bounds too!)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
modellifelines.UpperAsymptoteFitter
number of observations863
number of events observed140
log-likelihood-1458.88
hypothesisc_ != 1, mu_ != 0, sigma_ != 1
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coefse(coef)coef lower 95%coef upper 95%zp-log2(p)
c_0.290.030.240.35-24.37<0.005433.49
mu_1139.88101.60940.751339.0111.22<0.00594.62
sigma_872.5966.31742.621002.5613.14<0.005128.67
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AIC2923.76
\n", "
" ], "text/latex": [ "\\begin{tabular}{lrrrrrrr}\n", "\\toprule\n", "{} & coef & se(coef) & coef lower 95\\% & coef upper 95\\% & z & p & -log2(p) \\\\\n", "\\midrule\n", "c\\_ & 0.29 & 0.03 & 0.24 & 0.35 & -24.37 & 0.00 & 433.49 \\\\\n", "mu\\_ & 1139.88 & 101.60 & 940.75 & 1339.01 & 11.22 & 0.00 & 94.62 \\\\\n", "sigma\\_ & 872.59 & 66.31 & 742.62 & 1002.56 & 13.14 & 0.00 & 128.67 \\\\\n", "\\bottomrule\n", "\\end{tabular}\n" ], "text/plain": [ "\n", " number of observations = 863\n", "number of events observed = 140\n", " log-likelihood = -1458.88\n", " hypothesis = c_ != 1, mu_ != 0, sigma_ != 1\n", "\n", "---\n", " coef se(coef) coef lower 95% coef upper 95% z p -log2(p)\n", "c_ 0.29 0.03 0.24 0.35 -24.37 <0.005 433.49\n", "mu_ 1139.88 101.60 940.75 1339.01 11.22 <0.005 94.62\n", "sigma_ 872.59 66.31 742.62 1002.56 13.14 <0.005 128.67\n", "---\n", "AIC = 2923.76" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "---\n", "Estimated lower bound: 0.75 (0.70, 0.79)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 260, "width": 486 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Another, less obvious, dataset. \n", "\n", "T, E = load_kidney_transplant()['time'], load_kidney_transplant()['death']\n", "uaf.fit(T, E)\n", "ax = uaf.plot_survival_function(figsize=(8,4))\n", "uaf.print_summary()\n", "\n", "kmf.fit(T, E).plot(ax=ax)\n", "print(\"---\")\n", "print(\"Estimated lower bound: {:.2f} ({:.2f}, {:.2f})\".format(\n", " np.exp(-uaf.summary.loc['c_', 'coef']),\n", " np.exp(-uaf.summary.loc['c_', 'coef upper 95%']),\n", " np.exp(-uaf.summary.loc['c_', 'coef lower 95%']),\n", " )\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Using alternative functional forms\n", "\n", "An even simplier model might look like $c \\left(1 - \\frac{1}{\\lambda t + 1}\\right)$, however this model cannot handle any \"inflection points\" like our artificial dataset has above. However, it works well for this Lung dataset. \n", "\n", "With all parametric models, one important feature is the ability to extrapolate to unforseen times. " ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "from autograd.scipy.stats import norm\n", "from lifelines.fitters import ParametricUnivariateFitter\n", "\n", "class SimpleUpperAsymptoteFitter(ParametricUnivariateFitter):\n", "\n", " _fitted_parameter_names = [\"c_\", \"lambda_\"]\n", "\n", " _bounds = ((0, None), (0, None))\n", "\n", " def _cumulative_hazard(self, params, times):\n", " c, lambda_ = params\n", " return c * (1 - 1 /(lambda_ * times + 1))" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
modellifelines.SimpleUpperAsymptoteFitter
number of observations863
number of events observed140
log-likelihood-1392.1610
hypothesisc_ != 1, lambda_ != 1
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coefse(coef)coef lower 95%coef upper 95%zp-log2(p)
c_0.42520.07170.28470.5658-8.0151<5e-0549.6912
lambda_0.00060.00020.00030.0009-5982.3551<5e-05inf
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AIC2788.3221
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" ], "text/latex": [ "\\begin{tabular}{lrrrrrrr}\n", "\\toprule\n", "{} & coef & se(coef) & coef lower 95\\% & coef upper 95\\% & z & p & -log2(p) \\\\\n", "\\midrule\n", "c\\_ & 0.4252 & 0.0717 & 0.2847 & 0.5658 & -8.0151 & 0.0000 & 49.6912 \\\\\n", "lambda\\_ & 0.0006 & 0.0002 & 0.0003 & 0.0009 & -5982.3551 & 0.0000 & inf \\\\\n", "\\bottomrule\n", "\\end{tabular}\n" ], "text/plain": [ "\n", " number of observations = 863\n", "number of events observed = 140\n", " log-likelihood = -1392.1610\n", " hypothesis = c_ != 1, lambda_ != 1\n", "\n", "---\n", " coef se(coef) coef lower 95% coef upper 95% z p -log2(p)\n", "c_ 0.4252 0.0717 0.2847 0.5658 -8.0151 <5e-05 49.6912\n", "lambda_ 0.0006 0.0002 0.0003 0.0009 -5982.3551 <5e-05 inf\n", "---\n", "AIC = 2788.3221" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "---\n", "Estimated lower bound: 0.65 (0.57, 0.75)\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 260, "width": 486 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Another, less obvious, dataset. \n", "\n", "saf = SimpleUpperAsymptoteFitter().fit(T, E, timeline=np.arange(1, 10000))\n", "ax = saf.plot_survival_function(figsize=(8,4))\n", "saf.print_summary(4)\n", "\n", "kmf.fit(T, E).plot(ax=ax)\n", "print(\"---\")\n", "print(\"Estimated lower bound: {:.2f} ({:.2f}, {:.2f})\".format(\n", " np.exp(-saf.summary.loc['c_', 'coef']),\n", " np.exp(-saf.summary.loc['c_', 'coef upper 95%']),\n", " np.exp(-saf.summary.loc['c_', 'coef lower 95%']),\n", " )\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Probabilistic cure models\n", "\n", "The models above are good at fitting to the data, but they offer less common interpretation of survival models. It would be nice to be able to use common survival models _and_ have some \"cure\" component. Let's suppose that for individuals that will experience the event of interest, their survival distrubtion is a Weibull, denoted $S_W(t)$. For a random selected individual in the population, thier survival curve, $S(t)$, is:\n", "\n", "$$ \n", "\\begin{align*}\n", "S(t) = P(T > t) &= P(\\text{cured}) P(T > t\\;|\\;\\text{cured}) + P(\\text{not cured}) P(T > t\\;|\\;\\text{not cured}) \\\\\n", " &= p + (1-p) S_W(t)\n", "\\end{align*}\n", "$$\n", "\n", "Even though it's in an unconvential form, we can still determine the cumulative hazard (which is the negative logarithm of the survival function):\n", "\n", "$$ H(t) = -\\log{\\left(p + (1-p) S_W(t)\\right)} $$" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "from autograd import numpy as np\n", "from lifelines.fitters import ParametricUnivariateFitter\n", "\n", "class CureFitter(ParametricUnivariateFitter):\n", "\n", " _fitted_parameter_names = [\"p_\", \"lambda_\", \"rho_\"]\n", "\n", " _bounds = ((0, 1), (0, None), (0, None))\n", "\n", " def _cumulative_hazard(self, params, T):\n", " p, lambda_, rho_ = params\n", " sf = np.exp(-(T / lambda_) ** rho_)\n", " return -np.log(p + (1-p) * sf)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
modellifelines.CureFitter
number of observations863
number of events observed140
log-likelihood-1385.1617
hypothesisp_ != 0.5, lambda_ != 1, rho_ != 1
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coefse(coef)coef lower 95%coef upper 95%zp-log2(p)
p_0.10061.3053-2.45772.6590-0.30590.75960.3966
lambda_17393.610748891.6027-78432.1698113219.39110.35570.72200.4699
rho_0.63820.07910.48310.7932-4.5739<5e-0517.6725
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AIC2776.3234
\n", "
" ], "text/latex": [ "\\begin{tabular}{lrrrrrrr}\n", "\\toprule\n", "{} & coef & se(coef) & coef lower 95\\% & coef upper 95\\% & z & p & -log2(p) \\\\\n", "\\midrule\n", "p\\_ & 0.1006 & 1.3053 & -2.4577 & 2.6590 & -0.3059 & 0.7596 & 0.3966 \\\\\n", "lambda\\_ & 17393.6107 & 48891.6027 & -78432.1698 & 113219.3911 & 0.3557 & 0.7220 & 0.4699 \\\\\n", "rho\\_ & 0.6382 & 0.0791 & 0.4831 & 0.7932 & -4.5739 & 0.0000 & 17.6725 \\\\\n", "\\bottomrule\n", "\\end{tabular}\n" ], "text/plain": [ "\n", " number of observations = 863\n", "number of events observed = 140\n", " log-likelihood = -1385.1617\n", " hypothesis = p_ != 0.5, lambda_ != 1, rho_ != 1\n", "\n", "---\n", " coef se(coef) coef lower 95% coef upper 95% z p -log2(p)\n", "p_ 0.1006 1.3053 -2.4577 2.6590 -0.3059 0.7596 0.3966\n", "lambda_ 17393.6107 48891.6027 -78432.1698 113219.3911 0.3557 0.7220 0.4699\n", "rho_ 0.6382 0.0791 0.4831 0.7932 -4.5739 <5e-05 17.6725\n", "---\n", "AIC = 2776.3234" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "---\n", "Estimated lower bound: 0.10 (2.66, -2.46)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 260, "width": 480 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cure_model = CureFitter().fit(T, E, timeline=np.arange(1, 10000))\n", "ax = cure_model.plot_survival_function(figsize=(8,4))\n", "cure_model.print_summary(4)\n", "\n", "kmf.fit(T, E).plot(ax=ax)\n", "print(\"---\")\n", "print(\"Estimated lower bound: {:.2f} ({:.2f}, {:.2f})\".format(\n", " cure_model.summary.loc['p_', 'coef'],\n", " cure_model.summary.loc['p_', 'coef upper 95%'],\n", " cure_model.summary.loc['p_', 'coef lower 95%'],\n", " )\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Under this model, it suggests that only ~10% of subjects are ever cured (however, there is a lot of variance in the estimate of the $p$ parameter). " ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.7" } }, "nbformat": 4, "nbformat_minor": 2 }