{ "cells": [ { "cell_type": "markdown", "id": "35149d30", "metadata": {}, "source": [ "# Survival Analysis" ] }, { "cell_type": "code", "execution_count": 1, "id": "ef717076", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "from lifelines.plotting import qq_plot, plot_interval_censored_lifetimes\n", "import lifelines as lfl" ] }, { "cell_type": "markdown", "id": "91c96c11", "metadata": {}, "source": [ "## SEER dataset\n", "> https://seer.cancer.gov/data-software/documentation/seerstat/nov2016/TextData.FileDescription.pdf\n", "\n", "> https://arxiv.org/abs/2204.07276\n", "\n", "- `id`: parient's ID\n", "- `tte`: time to event\n", "- `label`: cancer or not\n", "- `AGE_DX`: patient's age\n", "- `EOD10_SZ`: size of the tumor\n", "- `MALIGCOUNT`: number of In Situ/malignant tumors for patient\n", "- `BENBORDCOUNT`: number of benign/borderline tumors" ] }, { "cell_type": "markdown", "id": "f1b1ce6e", "metadata": {}, "source": [ "## Data preparation" ] }, { "cell_type": "code", "execution_count": 2, "id": "efd73a82", "metadata": {}, "outputs": [], "source": [ "df = pd.read_csv('SEER_sample_imputed.csv')\n", "\n", "# keeping just a few columns\n", "df = df[['id', 'tte', 'label', 'AGE_DX', 'EOD10_SZ', 'MALIGCOUNT', 'BENBORDCOUNT']]\n", "\n", "df = df.dropna()\n", "\n", "# there are some 'id's duplicated\n", "df.drop_duplicates('id', inplace=True)\n", "df.set_index('id', inplace=True)\n", "\n", "df = df.astype({'tte': int, 'label': int})" ] }, { "cell_type": "code", "execution_count": 3, "id": "ec3d9280", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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ttelabelAGE_DXEOD10_SZMALIGCOUNTBENBORDCOUNT
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3614236611910.7102800.040080.0000000.0
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" ], "text/plain": [ " tte label AGE_DX EOD10_SZ MALIGCOUNT BENBORDCOUNT\n", "id \n", "40003996 40 0 0.336449 0.04536 0.090909 0.0\n", "38375019 2 1 0.598131 0.03006 0.000000 0.0\n", "36142366 119 1 0.710280 0.04008 0.000000 0.0\n", "35021855 229 1 0.560748 0.02004 0.000000 0.0\n", "38377976 122 0 0.448598 0.06012 0.000000 0.0" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.head()" ] }, { "cell_type": "code", "execution_count": 4, "id": "09ffb1c8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Int64Index: 9966 entries, 40003996 to 38818610\n", "Data columns (total 6 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 tte 9966 non-null int32 \n", " 1 label 9966 non-null int32 \n", " 2 AGE_DX 9966 non-null float64\n", " 3 EOD10_SZ 9966 non-null float64\n", " 4 MALIGCOUNT 9966 non-null float64\n", " 5 BENBORDCOUNT 9966 non-null float64\n", "dtypes: float64(4), int32(2)\n", "memory usage: 467.2 KB\n" ] } ], "source": [ "df.info()" ] }, { "cell_type": "code", "execution_count": 5, "id": "e85f2165", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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tteAGE_DXEOD10_SZMALIGCOUNTBENBORDCOUNT
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" ], "text/plain": [ " tte AGE_DX EOD10_SZ MALIGCOUNT BENBORDCOUNT\n", "label \n", "0 6633 6633 6633 6633 6633\n", "1 3333 3333 3333 3333 3333" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.groupby(['label']).count()" ] }, { "cell_type": "markdown", "id": "99b36ff8", "metadata": {}, "source": [ "### Censorhip\n", "\n", "Happens when the **time to event** is partially known.\n", "\n", "- **Not censored**: the event occured and the time is known.\n", "- **Right-censored**: the survival duration is > the the observed. \n", "- **Left-censored**: the survival duration is < then the observed duration.\n", "- **Interval-censored**: the survival duration is within the range but not exactly known.\n", "\n", "> The data is **right-censored** because there are over 6,000 observations where the event didn't happen. It the cabe confirmed in the plot below." ] }, { "cell_type": "code", "execution_count": 6, "id": "eff7bee6", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12,4))\n", "plt.subplot(1,2,1)\n", "plt.title('Counting of Time to Event (tte)')\n", "df['tte'].hist()\n", "\n", "plt.subplot(1,2,2)\n", "plt.title('Counting based on LABEL')\n", "df.groupby(['label']).count()['tte'].plot(kind='pie', label='');" ] }, { "cell_type": "markdown", "id": "3c303cfa", "metadata": {}, "source": [ "## Survival Function\n", "\n", "- Shows the percentage of the population that **did not** experienced the event until that time $t$.\n", "- Shows the **survival probability** (probability of the event of interest happens) after time $t$: \n", "\n", "$$\\Large S(t) = Pr(T > t)$$\n", "\n", "- $T$: when the event occurs.\n", "- $t$: any point in time during an observation.\n" ] }, { "cell_type": "markdown", "id": "d0157fd0", "metadata": {}, "source": [ "## Hazard Function\n", "\n", "- Shows the probability of that event happens at some time give the survival up to that time.\n", "\n", "$$\\Large h(t) = -\\frac{d}{dt} \\log(S(t))$$\n", "\n", "- **Hazard rate**: instantaneous rate of the event occuring" ] }, { "cell_type": "markdown", "id": "b710bcbc", "metadata": {}, "source": [ "## Survival Function/Curve Estimation\n", "\n", "$$\\Large S(t) = \\prod_{i:t_i \\leq t} \\left(1 - \\frac{d_i}{n_i} \\right)$$\n", "\n", "- $t_i$: duration time\n", "- $d_i$: number of events that happened at time $t_i$\n", "- $n_i$: number of individuals known to have survived up to time $t_i$" ] }, { "cell_type": "markdown", "id": "744fddbe", "metadata": {}, "source": [ "### Non-parametric\n", "\n", "- Does not assume underlying distribution.\n", "- Describes the data better.\n", "- It is not smooth/differentiable" ] }, { "cell_type": "markdown", "id": "2d14c568", "metadata": {}, "source": [ "#### Kaplan-Meier Model\n", "most used" ] }, { "cell_type": "code", "execution_count": 7, "id": "f3f15b86", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmf = lfl.KaplanMeierFitter()\n", "kmf.fit(durations=df['tte'], event_observed=df['label'])" ] }, { "cell_type": "code", "execution_count": 8, "id": "118d13a6", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "kmf.plot_survival_function(at_risk_counts=True)\n", "plt.ylabel('Survival Probability');" ] }, { "cell_type": "code", "execution_count": 9, "id": "c9651195", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Median survival time: 208.0\n" ] } ], "source": [ "# this measure might be wrong because more than 50% of the data is censored\n", "print('Median survival time:', kmf.median_survival_time_)" ] }, { "cell_type": "markdown", "id": "d96d0e36", "metadata": {}, "source": [ "### Parametric \n", "\n", "- Usually gives more information because there is an underlying distribution\n", "- Is necessary to assess the goodness-of-fit to avoid biases and misinterpretations\n", "\n", "\n", "#### Weibull Model\n", "\n", "$$\\Large f(x; \\lambda,k) = \\frac{k}{\\lambda} \\left( \\frac{x}{\\lambda} \\right)^{k-1} e^{-(x/\\lambda)^k} \\qquad \\longrightarrow \\quad S(t) = e^{-(t/\\lambda)^\\rho}$$\n", "\n", "$$x \\geq 0, k > 0, \\lambda > 0$$\n", "\n", "- $k$ or $\\rho$: shape of the distribution\n", " - $k < 1$: event rate decreases over time\n", " - $k = 1$: event rate is constant\n", " - $k > 1$: event rate increases over time\n", " \n", "- $\\lambda$: scale of the distribution (indicates when 63.2% of the population has experienced the event)" ] }, { "cell_type": "code", "execution_count": 10, "id": "c5767d91", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "wb = lfl.WeibullFitter()\n", "\n", "# Weibull needs non-zero tte\n", "df['tte'] = df['tte'] + 1e-10\n", "\n", "wb.fit(durations=df['tte'], event_observed=df['label'])" ] }, { "cell_type": "code", "execution_count": 11, "id": "6a3e8292", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Lambda: 358.7938759636887\n", "Rho: 0.7952285765619703\n" ] }, { "data": { "text/plain": [ "Text(0.5, 1.0, 'Survival function of Weibull model / estimated parameters')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "print('Lambda:', wb.lambda_)\n", "print('Rho:', wb.rho_)\n", "\n", "ax = wb.survival_function_.plot()\n", "ax.set_title(\"Survival function of Weibull model / estimated parameters\")" ] }, { "cell_type": "markdown", "id": "e8b249be", "metadata": {}, "source": [ "$\\rho$ is smaller than 1: the event rate (cancer incidence) decreases over time." ] }, { "cell_type": "markdown", "id": "53c90e69", "metadata": {}, "source": [ "### Comparing Several Models" ] }, { "cell_type": "code", "execution_count": 12, "id": "37579fe1", "metadata": {}, "outputs": [], "source": [ "wb = lfl.WeibullFitter().fit(durations=df['tte'], event_observed=df['label'])\n", "exp = lfl.ExponentialFitter().fit(durations=df['tte'], event_observed=df['label'])\n", "log = lfl.LogNormalFitter().fit(durations=df['tte'], event_observed=df['label'])" ] }, { "cell_type": "markdown", "id": "a9f6c534", "metadata": {}, "source": [ "#### Akaike Information Criterion (AIC)\n", "\n", "- Estimates the prediction error and relative quality of statistical models\n", "- The **less information the model loses, the higher its quality**. From `lifelines` documentation: *The model with the lowest AIC is desirable, since it’s a trade off between maximizing the log-likelihood with as few parameters as possible.*" ] }, { "cell_type": "code", "execution_count": 13, "id": "3a8f5b64", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Weilbull model: 44222.28063808024\n", "Exponential model: 44474.95418984919\n", "LogNormal model: 47666.55189603807\n" ] } ], "source": [ "print('Weilbull model:', wb.AIC_)\n", "print('Exponential model:', exp.AIC_)\n", "print('LogNormal model:', log.AIC_)" ] }, { "cell_type": "code", "execution_count": 14, "id": "61e725d9", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "models = {'Weibull':['r', wb], \n", " 'Exponential':['g', exp], \n", " 'LogNormal':['b', log]}\n", "\n", "fig, axes = plt.subplots(2, 3, figsize=(18, 8))\n", "\n", "i = 0\n", "for model_name,model_lst in models.items():\n", " m_color = model_lst[0]\n", " model = model_lst[1]\n", " \n", " model.plot_survival_function(ax=axes[0,i], c=m_color)\n", " ax = qq_plot(model, ax=axes[1,i], scatter_color=m_color)\n", " ax.title.set_text(model_name)\n", " i += 1" ] }, { "cell_type": "markdown", "id": "4aea9a24", "metadata": {}, "source": [ "#### Finding the best model based on AIC" ] }, { "cell_type": "code", "execution_count": 15, "id": "1136f995", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Best model: \n", "Best model AIC: 43659.17156592098\n" ] } ], "source": [ "best_model, best_aic_ = lfl.utils.find_best_parametric_model(event_times=df['tte'], \n", " event_observed=df['label'],\n", " scoring_method=\"AIC\")\n", "print('Best model:', best_model)\n", "print('Best model AIC:', best_aic_)" ] }, { "cell_type": "code", "execution_count": 16, "id": "b2eaa6dd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(18, 4))\n", "\n", "best_model.plot_survival_function(ax=axes[0])\n", "\n", "# line below raises the error: NotImplementedError: Distribution not implemented in SciPy\n", "#qq_plot(best_model, ax=axes[1])" ] }, { "cell_type": "markdown", "id": "eb6e19d9", "metadata": {}, "source": [ "### Weibul Model and Covariates" ] }, { "cell_type": "code", "execution_count": 17, "id": "4f354366", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "aft = lfl.WeibullAFTFitter()\n", "aft.fit(df=df, duration_col='tte', event_col='label')" ] }, { "cell_type": "code", "execution_count": 18, "id": "d7eeb0ba", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\helde\\miniconda3\\envs\\py39\\lib\\site-packages\\lifelines\\utils\\printer.py:62: FutureWarning: In future versions `DataFrame.to_latex` is expected to utilise the base implementation of `Styler.to_latex` for formatting and rendering. The arguments signature may therefore change. It is recommended instead to use `DataFrame.style.to_latex` which also contains additional functionality.\n", " return summary_df[columns].to_latex(float_format=\"%.\" + str(self.decimals) + \"f\")\n" ] }, { "data": { "text/html": [ "
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modellifelines.WeibullAFTFitter
duration col'tte'
event col'label'
number of observations9966
number of events observed3333
log-likelihood-21462.69
time fit was run2022-06-10 20:10:14 UTC
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coefexp(coef)se(coef)coef lower 95%coef upper 95%exp(coef) lower 95%exp(coef) upper 95%cmp tozp-log2(p)
lambda_AGE_DX-5.740.000.18-6.10-5.390.000.000.00-31.93<0.005740.77
BENBORDCOUNT1.434.181.14-0.813.670.4539.210.001.250.212.25
EOD10_SZ-1.200.300.11-1.42-0.990.240.370.00-11.04<0.00591.66
MALIGCOUNT-0.960.380.30-1.54-0.370.210.690.00-3.22<0.0059.60
Intercept8.756320.250.108.558.955157.637744.940.0084.38<0.005inf
rho_Intercept-0.160.850.01-0.19-0.130.830.880.00-10.83<0.00588.44

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Concordance0.66
AIC42937.37
log-likelihood ratio test1292.91 on 4 df
-log2(p) of ll-ratio test923.30
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" ], "text/latex": [ "\\begin{tabular}{llrrrrrrrrrrr}\n", "\\toprule\n", " & & coef & exp(coef) & se(coef) & coef lower 95\\% & coef upper 95\\% & exp(coef) lower 95\\% & exp(coef) upper 95\\% & cmp to & z & p & -log2(p) \\\\\n", "param & covariate & & & & & & & & & & & \\\\\n", "\\midrule\n", "lambda\\_ & AGE\\_DX & -5.74 & 0.00 & 0.18 & -6.10 & -5.39 & 0.00 & 0.00 & 0.00 & -31.93 & 0.00 & 740.77 \\\\\n", " & BENBORDCOUNT & 1.43 & 4.18 & 1.14 & -0.81 & 3.67 & 0.45 & 39.21 & 0.00 & 1.25 & 0.21 & 2.25 \\\\\n", " & EOD10\\_SZ & -1.20 & 0.30 & 0.11 & -1.42 & -0.99 & 0.24 & 0.37 & 0.00 & -11.04 & 0.00 & 91.66 \\\\\n", " & MALIGCOUNT & -0.96 & 0.38 & 0.30 & -1.54 & -0.37 & 0.21 & 0.69 & 0.00 & -3.22 & 0.00 & 9.60 \\\\\n", " & Intercept & 8.75 & 6320.25 & 0.10 & 8.55 & 8.95 & 5157.63 & 7744.94 & 0.00 & 84.38 & 0.00 & inf \\\\\n", "rho\\_ & Intercept & -0.16 & 0.85 & 0.01 & -0.19 & -0.13 & 0.83 & 0.88 & 0.00 & -10.83 & 0.00 & 88.44 \\\\\n", "\\bottomrule\n", "\\end{tabular}\n" ], "text/plain": [ "\n", " duration col = 'tte'\n", " event col = 'label'\n", " number of observations = 9966\n", "number of events observed = 3333\n", " log-likelihood = -21462.69\n", " time fit was run = 2022-06-10 20:10:14 UTC\n", "\n", "---\n", " coef exp(coef) se(coef) coef lower 95% coef upper 95% exp(coef) lower 95% exp(coef) upper 95%\n", "param covariate \n", "lambda_ AGE_DX -5.74 0.00 0.18 -6.10 -5.39 0.00 0.00\n", " BENBORDCOUNT 1.43 4.18 1.14 -0.81 3.67 0.45 39.21\n", " EOD10_SZ -1.20 0.30 0.11 -1.42 -0.99 0.24 0.37\n", " MALIGCOUNT -0.96 0.38 0.30 -1.54 -0.37 0.21 0.69\n", " Intercept 8.75 6320.25 0.10 8.55 8.95 5157.63 7744.94\n", "rho_ Intercept -0.16 0.85 0.01 -0.19 -0.13 0.83 0.88\n", "\n", " cmp to z p -log2(p)\n", "param covariate \n", "lambda_ AGE_DX 0.00 -31.93 <0.005 740.77\n", " BENBORDCOUNT 0.00 1.25 0.21 2.25\n", " EOD10_SZ 0.00 -11.04 <0.005 91.66\n", " MALIGCOUNT 0.00 -3.22 <0.005 9.60\n", " Intercept 0.00 84.38 <0.005 inf\n", "rho_ Intercept 0.00 -10.83 <0.005 88.44\n", "---\n", "Concordance = 0.66\n", "AIC = 42937.37\n", "log-likelihood ratio test = 1292.91 on 4 df\n", "-log2(p) of ll-ratio test = 923.30" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aft.print_summary()" ] }, { "cell_type": "markdown", "id": "043dd302", "metadata": {}, "source": [ "- $exp(coef)$ shows how much the average survival changes with one unit change in the covariate\n", "- $p$ shows the statistic significance. $p < 0.005$ is significant\n" ] }, { "cell_type": "markdown", "id": "40a8272e", "metadata": {}, "source": [ "#### How the covariates affect the survival function?" ] }, { "cell_type": "code", "execution_count": 19, "id": "1ede1bdd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12,6))\n", "aft.plot()" ] }, { "cell_type": "markdown", "id": "51a3c1e0", "metadata": {}, "source": [ "#### Evaluating the `MALIGCOUNT` covariate" ] }, { "cell_type": "code", "execution_count": 20, "id": "f8ef8f80", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(16,6))\n", "\n", "values = [[x,y] for x in np.arange(0, .51, 0.2) for y in np.arange(0, .51, 0.2)]\n", "aft.plot_partial_effects_on_outcome(covariates=['MALIGCOUNT', 'BENBORDCOUNT'] , cmap='coolwarm', values=values)" ] }, { "cell_type": "code", "execution_count": 21, "id": "f3ae5be6", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "_, axes = plt.subplots(2,1, figsize=(16,8))\n", "aft.plot_partial_effects_on_outcome(covariates='MALIGCOUNT', values=np.arange(0, 1.01, 0.2), ax=axes[0])\n", "aft.plot_partial_effects_on_outcome(covariates='BENBORDCOUNT', values=np.arange(0, 1.01, 0.2), ax=axes[1])" ] }, { "cell_type": "markdown", "id": "ac090c18", "metadata": {}, "source": [ "The `baseline` curve is the same one as estimated. The increase of `MALIGCOUNT` (counting of malignant tumors) affects the survival function in such a way that people has cancer sooner." ] }, { "cell_type": "markdown", "id": "6d238a51", "metadata": {}, "source": [ "### Cox Proportional Hazards Model (Cox-PH)\n", "\n", "#### Proportional hazards assumption\n", "\n", "All the individuals' hazards are proportional:\n", "\n", "$$\\Large h_A(t) = c \\cdot h_B(t) $$\n", "\n", "- There is a **baseline hazard** function where other hazards are **scaled**\n", "- The **relative survival impact** of a varaible does not change with time (time-invariant)\n", "- **baseline hazard** the risk for individuals at the baseline levels of covariates, i.e., the averages of covariates\n", "\n", "#### Cox-PH model: Regresses covariates on time-to-event/duration.\n", "\n", "$$\\Large h(t|x) = b_0 \\cdot exp\\left( \\sum^{n}_{i=1} b_i(x_i - \\bar{x_i}) \\right) $$\n", "\n", "- $b_0(t)$: population-level **baseline hazard** function\n", "- $exp(...)$: linear relationship between covariates and the log of hazard. Note: Doesn't depend on time, that's why there is no $t$ in the equation\n", "\n" ] }, { "cell_type": "code", "execution_count": 22, "id": "580ed82b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "coxph = lfl.CoxPHFitter()\n", "coxph.fit(df=df, duration_col='tte', event_col='label')" ] }, { "cell_type": "code", "execution_count": 23, "id": "b69894fa", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\helde\\miniconda3\\envs\\py39\\lib\\site-packages\\lifelines\\utils\\printer.py:62: FutureWarning: In future versions `DataFrame.to_latex` is expected to utilise the base implementation of `Styler.to_latex` for formatting and rendering. The arguments signature may therefore change. It is recommended instead to use `DataFrame.style.to_latex` which also contains additional functionality.\n", " return summary_df[columns].to_latex(float_format=\"%.\" + str(self.decimals) + \"f\")\n" ] }, { "data": { "text/html": [ "
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modellifelines.CoxPHFitter
duration col'tte'
event col'label'
baseline estimationbreslow
number of observations9966
number of events observed3333
partial log-likelihood-27481.72
time fit was run2022-06-10 20:10:17 UTC
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coefexp(coef)se(coef)coef lower 95%coef upper 95%exp(coef) lower 95%exp(coef) upper 95%cmp tozp-log2(p)
AGE_DX5.35209.800.155.055.64156.41281.400.0035.68<0.005924.01
EOD10_SZ1.123.070.090.941.302.573.680.0012.19<0.005111.13
MALIGCOUNT0.712.040.250.221.211.243.360.002.82<0.0057.71
BENBORDCOUNT-1.290.280.97-3.190.620.041.850.00-1.330.182.44

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Concordance0.66
Partial AIC54971.44
log-likelihood ratio test1467.09 on 4 df
-log2(p) of ll-ratio testinf
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" ], "text/latex": [ "\\begin{tabular}{lrrrrrrrrrrr}\n", "\\toprule\n", "{} & coef & exp(coef) & se(coef) & coef lower 95\\% & coef upper 95\\% & exp(coef) lower 95\\% & exp(coef) upper 95\\% & cmp to & z & p & -log2(p) \\\\\n", "covariate & & & & & & & & & & & \\\\\n", "\\midrule\n", "AGE\\_DX & 5.35 & 209.80 & 0.15 & 5.05 & 5.64 & 156.41 & 281.40 & 0.00 & 35.68 & 0.00 & 924.01 \\\\\n", "EOD10\\_SZ & 1.12 & 3.07 & 0.09 & 0.94 & 1.30 & 2.57 & 3.68 & 0.00 & 12.19 & 0.00 & 111.13 \\\\\n", "MALIGCOUNT & 0.71 & 2.04 & 0.25 & 0.22 & 1.21 & 1.24 & 3.36 & 0.00 & 2.82 & 0.00 & 7.71 \\\\\n", "BENBORDCOUNT & -1.29 & 0.28 & 0.97 & -3.19 & 0.62 & 0.04 & 1.85 & 0.00 & -1.33 & 0.18 & 2.44 \\\\\n", "\\bottomrule\n", "\\end{tabular}\n" ], "text/plain": [ "\n", " duration col = 'tte'\n", " event col = 'label'\n", " baseline estimation = breslow\n", " number of observations = 9966\n", "number of events observed = 3333\n", " partial log-likelihood = -27481.72\n", " time fit was run = 2022-06-10 20:10:17 UTC\n", "\n", "---\n", " coef exp(coef) se(coef) coef lower 95% coef upper 95% exp(coef) lower 95% exp(coef) upper 95%\n", "covariate \n", "AGE_DX 5.35 209.80 0.15 5.05 5.64 156.41 281.40\n", "EOD10_SZ 1.12 3.07 0.09 0.94 1.30 2.57 3.68\n", "MALIGCOUNT 0.71 2.04 0.25 0.22 1.21 1.24 3.36\n", "BENBORDCOUNT -1.29 0.28 0.97 -3.19 0.62 0.04 1.85\n", "\n", " cmp to z p -log2(p)\n", "covariate \n", "AGE_DX 0.00 35.68 <0.005 924.01\n", "EOD10_SZ 0.00 12.19 <0.005 111.13\n", "MALIGCOUNT 0.00 2.82 <0.005 7.71\n", "BENBORDCOUNT 0.00 -1.33 0.18 2.44\n", "---\n", "Concordance = 0.66\n", "Partial AIC = 54971.44\n", "log-likelihood ratio test = 1467.09 on 4 df\n", "-log2(p) of ll-ratio test = inf" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "coxph.print_summary()" ] }, { "cell_type": "markdown", "id": "1735a9fd", "metadata": {}, "source": [ "$exp(coef)$ is the **hazard ratio**: how the hazard changes with one unit variation of the covariate.\n", "\n", "Example: If `MALIGCOUNT` increases by 1, the hazard function increases by $2.04$, which is 204%!!!" ] }, { "cell_type": "code", "execution_count": 24, "id": "f9ac8062", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "_, axes = plt.subplots(1, 2, figsize=(16,4))\n", "\n", "coxph.baseline_hazard_.plot(ax=axes[0])\n", "coxph.baseline_survival_.plot(ax=axes[1])" ] }, { "cell_type": "code", "execution_count": 25, "id": "f42bf95b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "_, axes = plt.subplots(2,1, figsize=(16,8))\n", "coxph.plot_partial_effects_on_outcome(covariates='MALIGCOUNT', values=np.arange(0, 1.01, 0.2), ax=axes[0])\n", "coxph.plot_partial_effects_on_outcome(covariates='BENBORDCOUNT', values=np.arange(0, 1.01, 0.2), ax=axes[1])" ] }, { "cell_type": "markdown", "id": "09730421", "metadata": {}, "source": [ "#### Checking the Proportional Hazards Assumption" ] }, { "cell_type": "code", "execution_count": 26, "id": "16582adb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The ``p_value_threshold`` is set at 0.05. Even under the null hypothesis of no violations, some\n", "covariates will be below the threshold by chance. This is compounded when there are many covariates.\n", "Similarly, when there are lots of observations, even minor deviances from the proportional hazard\n", "assumption will be flagged.\n", "\n", "With that in mind, it's best to use a combination of statistical tests and visual tests to determine\n", "the most serious violations. Produce visual plots using ``check_assumptions(..., show_plots=True)``\n", "and looking for non-constant lines. See link [A] below for a full example.\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\helde\\miniconda3\\envs\\py39\\lib\\site-packages\\lifelines\\fitters\\mixins.py:108: FutureWarning: Index.__and__ operating as a set operation is deprecated, in the future this will be a logical operation matching Series.__and__. Use index.intersection(other) instead.\n", " for variable in self.params_.index & (columns or self.params_.index):\n", "C:\\Users\\helde\\miniconda3\\envs\\py39\\lib\\site-packages\\lifelines\\statistics.py:143: FutureWarning: In future versions `DataFrame.to_latex` is expected to utilise the base implementation of `Styler.to_latex` for formatting and rendering. The arguments signature may therefore change. It is recommended instead to use `DataFrame.style.to_latex` which also contains additional functionality.\n", " return self.summary.to_latex()\n" ] }, { "data": { "text/html": [ "
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null_distributionchi squared
degrees_of_freedom1
model<lifelines.CoxPHFitter: fitted with 9966 total...
test_nameproportional_hazard_test
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test_statisticp-log2(p)
AGE_DXkm127.51<0.00595.81
rank121.91<0.00591.74
BENBORDCOUNTkm0.690.411.30
rank0.140.710.49
EOD10_SZkm5.450.025.67
rank6.960.016.90
MALIGCOUNTkm14.70<0.00512.96
rank16.45<0.00514.29
" ], "text/latex": [ "\\begin{tabular}{llrrr}\n", "\\toprule\n", " & & test\\_statistic & p & -log2(p) \\\\\n", "\\midrule\n", "AGE\\_DX & km & 127.505541 & 1.439983e-29 & 95.809863 \\\\\n", " & rank & 121.912576 & 2.412372e-28 & 91.743534 \\\\\n", "BENBORDCOUNT & km & 0.693386 & 4.050151e-01 & 1.303952 \\\\\n", " & rank & 0.137979 & 7.102984e-01 & 0.493503 \\\\\n", "EOD10\\_SZ & km & 5.445903 & 1.961428e-02 & 5.671952 \\\\\n", " & rank & 6.957959 & 8.344718e-03 & 6.904921 \\\\\n", "MALIGCOUNT & km & 14.703542 & 1.258098e-04 & 12.956468 \\\\\n", " & rank & 16.453643 & 4.985429e-05 & 14.291923 \\\\\n", "\\bottomrule\n", "\\end{tabular}\n" ], "text/plain": [ "\n", " null_distribution = chi squared\n", "degrees_of_freedom = 1\n", " model = \n", " test_name = proportional_hazard_test\n", "\n", "---\n", " test_statistic p -log2(p)\n", "AGE_DX km 127.51 <0.005 95.81\n", " rank 121.91 <0.005 91.74\n", "BENBORDCOUNT km 0.69 0.41 1.30\n", " rank 0.14 0.71 0.49\n", "EOD10_SZ km 5.45 0.02 5.67\n", " rank 6.96 0.01 6.90\n", "MALIGCOUNT km 14.70 <0.005 12.96\n", " rank 16.45 <0.005 14.29" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "1. Variable 'AGE_DX' failed the non-proportional test: p-value is <5e-05.\n", "\n", " Advice 1: the functional form of the variable 'AGE_DX' might be incorrect. That is, there may be\n", "non-linear terms missing. The proportional hazard test used is very sensitive to incorrect\n", "functional forms. See documentation in link [D] below on how to specify a functional form.\n", "\n", " Advice 2: try binning the variable 'AGE_DX' using pd.cut, and then specify it in\n", "`strata=['AGE_DX', ...]` in the call in `.fit`. See documentation in link [B] below.\n", "\n", " Advice 3: try adding an interaction term with your time variable. See documentation in link [C]\n", "below.\n", "\n", "\n", "2. Variable 'EOD10_SZ' failed the non-proportional test: p-value is 0.0083.\n", "\n", " Advice 1: the functional form of the variable 'EOD10_SZ' might be incorrect. That is, there may\n", "be non-linear terms missing. The proportional hazard test used is very sensitive to incorrect\n", "functional forms. See documentation in link [D] below on how to specify a functional form.\n", "\n", " Advice 2: try binning the variable 'EOD10_SZ' using pd.cut, and then specify it in\n", "`strata=['EOD10_SZ', ...]` in the call in `.fit`. See documentation in link [B] below.\n", "\n", " Advice 3: try adding an interaction term with your time variable. See documentation in link [C]\n", "below.\n", "\n", "\n", "3. Variable 'MALIGCOUNT' failed the non-proportional test: p-value is <5e-05.\n", "\n", " Advice 1: the functional form of the variable 'MALIGCOUNT' might be incorrect. That is, there may\n", "be non-linear terms missing. The proportional hazard test used is very sensitive to incorrect\n", "functional forms. See documentation in link [D] below on how to specify a functional form.\n", "\n", " Advice 2: try binning the variable 'MALIGCOUNT' using pd.cut, and then specify it in\n", "`strata=['MALIGCOUNT', ...]` in the call in `.fit`. See documentation in link [B] below.\n", "\n", " Advice 3: try adding an interaction term with your time variable. See documentation in link [C]\n", "below.\n", "\n", "\n", "---\n", "[A] https://lifelines.readthedocs.io/en/latest/jupyter_notebooks/Proportional%20hazard%20assumption.html\n", "[B] https://lifelines.readthedocs.io/en/latest/jupyter_notebooks/Proportional%20hazard%20assumption.html#Bin-variable-and-stratify-on-it\n", "[C] https://lifelines.readthedocs.io/en/latest/jupyter_notebooks/Proportional%20hazard%20assumption.html#Introduce-time-varying-covariates\n", "[D] https://lifelines.readthedocs.io/en/latest/jupyter_notebooks/Proportional%20hazard%20assumption.html#Modify-the-functional-form\n", "[E] https://lifelines.readthedocs.io/en/latest/jupyter_notebooks/Proportional%20hazard%20assumption.html#Stratification\n", "\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "coxph.check_assumptions(df, p_value_threshold=0.05)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.12" } }, "nbformat": 4, "nbformat_minor": 5 }