{ "cells": [ { "cell_type": "markdown", "id": "3fa7653f", "metadata": {}, "source": [ "## 7. Experiment design\n", "\n", "
\n", "\n", "So far in our workflow, we have been working forward from a given experimental design and dataset to build up our model and inferences. However, looking back, we can realise that many steps in our workflow actually do not require the collection and use of actual data. Let's recall our workflow from the [introduction](introduction.ipynb):\n", "\n", "
\n", "\n", "\"The\n", "\n", "
\n", "\n", "If we have a particular problem in mind, *we don't even need any data* before we can start to utilise a Bayesian workflow. We can build a **generative model** to represent our planned experiment, and use this to produce simulated data, upon which we can **build** and **check** our **statistical model** in a controlled environment. \n", "\n", "Imagine that we have just completed an experiment followed by a Bayesian analysis, and were not able to make strong conclusions regarding our initial question. With all the tools we developed as part of our workflow, we can plan a new and improved experiment that should be able to do so! This kind of approach can be useful in putting together or evaluating research proposals.\n", "\n", "
\n", "\n", ">As the course comes towards an end, I'll also take this opportunity to note that there are many paths through the workflow, and it should *not* be seen as a strict, ordered to-do list. What we have looked at so far is just one path, and the next workflow you attempt may look quite different. \n", "\n", "
\n", "\n", "We can start by considering a really simple example, like the normal model used to introduce Stan in the [introduction](introduction.ipynb).\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "b60e8b42", "metadata": { "ExecuteTime": { "end_time": "2021-09-15T14:19:58.981636Z", "start_time": "2021-09-15T14:19:57.628563Z" } }, "outputs": [], "source": [ "import numpy as np\n", "from matplotlib import pyplot as plt\n", "from cmdstanpy import CmdStanModel\n", "import arviz as av\n", "import logging" ] }, { "cell_type": "code", "execution_count": 2, "id": "24257e08", "metadata": { "ExecuteTime": { "end_time": "2021-09-15T14:19:59.182801Z", "start_time": "2021-09-15T14:19:58.985196Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "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": [ "# simulate some data from a normal distribution\n", "N = 20\n", "mu = 5\n", "sigma = 3\n", "x = np.random.normal(mu, sigma, N)\n", "\n", "# plot histogram\n", "fig, ax = plt.subplots()\n", "ax.hist(x, bins=np.linspace(min(x), max(x), 10))\n", "ax.axvline(mu, color=\"k\", linestyle=\":\")" ] }, { "cell_type": "code", "execution_count": 3, "id": "cfd24b1a", "metadata": { "ExecuteTime": { "end_time": "2021-09-15T14:19:59.327472Z", "start_time": "2021-09-15T14:19:59.185137Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:cmdstanpy:found newer exe file, not recompiling\n", "INFO:cmdstanpy:compiled model file: /Users/fran/projects/BayesianWorkflow/src/notebooks/stan/normal\n", "INFO:cmdstanpy:start chain 1\n", "INFO:cmdstanpy:start chain 2\n", "INFO:cmdstanpy:start chain 3\n", "INFO:cmdstanpy:start chain 4\n", "INFO:cmdstanpy:finish chain 1\n", "INFO:cmdstanpy:finish chain 2\n", "INFO:cmdstanpy:finish chain 3\n", "INFO:cmdstanpy:finish chain 4\n" ] } ], "source": [ "# data for Stan model\n", "data = {}\n", "data[\"N\"] = N\n", "data[\"x\"] = x\n", "\n", "# compile and fit\n", "stan_model = CmdStanModel(stan_file=\"stan/normal.stan\")\n", "fit = stan_model.sample(data=data, iter_sampling=1000, chains=4)" ] }, { "cell_type": "code", "execution_count": 4, "id": "45bd7120", "metadata": { "ExecuteTime": { "end_time": "2021-09-15T14:20:00.019571Z", "start_time": "2021-09-15T14:19:59.331868Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "av.plot_trace(fit);" ] }, { "cell_type": "code", "execution_count": 5, "id": "548bb18a", "metadata": { "ExecuteTime": { "end_time": "2021-09-15T14:20:00.207860Z", "start_time": "2021-09-15T14:20:00.021881Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "out = av.plot_posterior(fit, hdi_prob=0.68, var_names=\"mu\");" ] }, { "cell_type": "markdown", "id": "78318270", "metadata": {}, "source": [ "Imagine that the goal for your experiment is to determine the value of $\\mu$ to a precision of 0.1 - i.e. the standard deviation of the posterior for $\\mu$ should be < 0.1." ] }, { "cell_type": "code", "execution_count": 6, "id": "0bbb3895", "metadata": { "ExecuteTime": { "end_time": "2021-09-15T14:20:00.216343Z", "start_time": "2021-09-15T14:20:00.210827Z" } }, "outputs": [ { "data": { "text/plain": [ "0.7756438840295403" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.std(fit.stan_variable(\"mu\"))" ] }, { "cell_type": "markdown", "id": "61842f98", "metadata": {}, "source": [ "It seems our current \"experimental setup\" with $N=20$ will not be capable of doing this. In this simple demo, there is only really one obvious way we can reduce our uncertainty in the estimate of $\\mu$: increasing the number of observations.\n", "\n", "We can play around with our simulation to understand roughly how many observations would be needed.\n", "\n", "
\n", "\n", "We could make a plot of the standard deviation of our posterior for $\\mu$ as a function of $N$:\n" ] }, { "cell_type": "code", "execution_count": 7, "id": "576ffc20", "metadata": { "ExecuteTime": { "end_time": "2021-09-15T14:20:31.184488Z", "start_time": "2021-09-15T14:20:00.218978Z" } }, "outputs": [], "source": [ "# silence logging\n", "logger = logging.getLogger(\"log\")\n", "logger.setLevel(logging.WARNING)\n", "stan_model = CmdStanModel(stan_file=\"stan/normal.stan\", logger=logger)\n", "\n", "# run for many N\n", "standard_devs = []\n", "N_vals = np.arange(100, 1500, 5)\n", "for n in N_vals:\n", " \n", " # simuate data\n", " x = np.random.normal(mu, sigma, n)\n", "\n", " # fit data\n", " data[\"N\"] = n\n", " data[\"x\"] = x\n", " fit = stan_model.sample(data=data, iter_sampling=1000, chains=4)\n", " \n", " # find std\n", " standard_devs.append(np.std(fit.stan_variable(\"mu\")))" ] }, { "cell_type": "code", "execution_count": 8, "id": "e00bc5f2", "metadata": { "ExecuteTime": { "end_time": "2021-09-15T14:20:31.301316Z", "start_time": "2021-09-15T14:20:31.186686Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Width of mu distribution')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(N_vals, standard_devs)\n", "ax.axhline(0.1, color=\"k\", linestyle=\":\")\n", "ax.set_xlabel(\"N\")\n", "ax.set_ylabel(\"Width of mu distribution\")" ] }, { "cell_type": "markdown", "id": "c1dbb13c", "metadata": {}, "source": [ "So we can see that we would probably need something like > 900 observations to constrain the standard deviation of the $\\mu$ posterior to < 0.1.\n", "\n", "
\n", "\n", "A few notes on implementing this in practice:\n", "\n", "* We skipped our usual sampler checks when running the fit many times, of course we should still include this, and find a way to automate it.\n", "* We can see that the above plot fluctuates depending on the exact simulated realisation at any $N$ value. We could repeat an experiment a number of times at each $N$ to account for this.\n", "* For posteriors that may have non-standard shapes, the highest density interval (HDI) is a better measure of the width of a distribution." ] }, { "cell_type": "markdown", "id": "f15b8a90", "metadata": {}, "source": [ "**Exercise 1 (10 points):** Consider the simple mixture model example from the [model comparison (part1)](model_comparison_part1.ipynb) notebook. We decide that we can conclude signal is present if the tail probability of the marginal posterior, $p(f<0.1)$, is less than 0.01. How many observations are required to achieve this if the true $f=0.5$?" ] }, { "cell_type": "code", "execution_count": 9, "id": "d399294b", "metadata": { "ExecuteTime": { "end_time": "2021-09-15T14:20:31.305657Z", "start_time": "2021-09-15T14:20:31.303320Z" } }, "outputs": [], "source": [ "# to be completed..." ] }, { "cell_type": "markdown", "id": "623cd9c7", "metadata": {}, "source": [ "**Homework exercise 1 (40 points):** Return to the Cepheid variable example and the Hubble constant estimate completed in the [model development](model_development.ipynb) notebook. Investigate what changes could be made to our Cepheid observations to better constrain the Hubble constant. How could we reach a 90\\% HDI region of < 10? Make some plots to summarise your results." ] }, { "cell_type": "code", "execution_count": 10, "id": "73ded2c4", "metadata": { "ExecuteTime": { "end_time": "2021-09-15T14:20:31.312440Z", "start_time": "2021-09-15T14:20:31.310111Z" } }, "outputs": [], "source": [ "# to be completed..." ] } ], "metadata": { "kernelspec": { "display_name": "bayesian_workflow", "language": "python", "name": "bayesian_workflow" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 5 }