{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "**This article is now interactive! Check out a live Binder instance [here](http://mybinder.org/repo/choldgraf/choldgraf.github.io/notebooks/notebooks/2016_11_30-funnel_plots.ipynb)**\n", "\n", "In the next few months, I'll try to take some time to talk about the things I learn as I make my way through this literature. While it's easy to make one-off complaints to one another about how \"science is broken\" without really diving into the details, it's important learn about *how* it's broken, or at least how we could assess something like this.\n", "\n", "Fortunately, there are a lot of great researchers out there who are studying these very issues. Whether they dedicate all of their research to these \"meta science\" topics, or simply treat this as a part of their scientific duty on top of their domain-specific work, their work represents a crucial step in reforming our scientific culture.\n", "\n", "I'm not really dredging up anything new here. People have spoken at length about scientific principles and how to improve them for quite a long time. However, I've found that these insights often come buried within relatively dense papers that are themselves hidden behind subscription journal paywalls. This is an attempt to make these thoughts a little more digestible, discoverable, and useful.\n", "\n", "Read on below to learn about why funnel plots are a great way to visualize the problems our publishing system faces..." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Some quick imports we'll use later\n", "import numpy as np\n", "from scipy.stats import distributions\n", "from matplotlib import pyplot as plt\n", "from IPython.html.widgets import interact\n", "from IPython.display import Image\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# On to Funnel Plots\n", "> (note, all of the plots are taken from the excellent paper *[The Rules of the Game of Psychological Science](http://pps.sagepub.com/content/7/6/543.full)*, though funnel plots date back at least to the book *[Summing Up](http://www.hup.harvard.edu/catalog.php?isbn=9780674854314)* by Light and Lillemer)\n", "\n", "Before diving into the guts of funnel plots, we first need to talk about experiments and effect sizes.\n", "\n", "The (theoretical) goal of science is to observe and accurately describe various phenomena in nature. One way to do this is to conduct some experimental manipulation (e.g., drinking variable amounts of coffee), and measuring its effect on a dependent variable (e.g., how many minutes I spend cleaning my kitchen). Many scientists conduct similar experiments, and report the effect size they found in their papers (e.g., when Chris drinks 2 cups of coffee, he cleans his kitchen an average of 1 hour longer).\n", "\n", "We can aggregate the reported effect size across many papers in order to determine an even \"truer\" effect, one that removes experimenter bias and noise. This is similar to how poll aggregators theoretically remove noise by combining the results of many different polls (unless of course [pollsters are systematically biased](http://fivethirtyeight.com/features/the-polls-missed-trump-we-asked-pollsters-why/)). The result is a number that is closer to reality.\n", "\n", "Or is it?\n", "\n", "One big problem with this is that scientists don't report all of their findings. They only report the ones they (or the journal publishers) deem \"significant\". In practice, this means that the effect has to be non-zero, because nobody wants to hear about null results (even though, you know, that's the vast majority of science). As a result, publishing is skewed in the direction of positive findings, and those that argue for more skepticism about whether an effect actually exists are often asked to please go back to the bench until they can come back with some sexier results.\n", "\n", "Now, on to funnel plots.\n", "\n", "The result of this whole situation is that the scientific literature probably overestimates effect sizes and their \"significance\". How much so? Well, with the advent of digital technologies it has become much easier to aggregate information across scientific studies. This means that we can look for patterns in the reported effect sizes, and determine whether there's something fishy going on (spoiler alert: there usually is.)\n", "\n", "The funnel plot is one tool for visualizing and determining whether there is a positive skew in the literature for a given scientific finding (e.g., the relationship between coffee and my cleaning habits). Here's what it looks like:\n", "\n", "\n", "\n", "It's a bit busy, but the underlying ideas here are pretty simple.\n", "\n", "* The x-axis is the size of an effect (here it's correlation but it could be any other statistic). 0 in the middle representing \"no effect\" and the extremes on either end representing the maximum possible effect for correlation values (in this case). \n", "* The right y-axis is the statistical power of the study. That is, the likelihood of concluding that an effect is \"significantly\" different from 0. As power increases and for a fixed effect size, it becomes more likely that we conclude significance.\n", "* This is related to the left y-axis, which is the inverse of the sample size. AKA, smaller samples -> higher standard error -> less power -> smaller y-values. Larger samples -> lower standard error -> more power -> higher y-values.\n", "* Finally, the shaded region tells us combinations of effect sizes / sample sizes that would be deemed \"significant\" (and publishable). If we assume a (two-sided) p-value threshold of .05, the area in white wouldn't make it into literature, while the area in grey would.\n", "\n", "A funnel plot visually shows that as our sample size goes down, our statistical power also goes down. This means that with smaller sample sizes, we need a larger effect in order to conclude that our results are significant (and get them into *Nature*). Seems reasonable, so where's the problem?\n", "\n", "The issue lies in the aforementioned positive effect bias in scientific publishing. Because null effects won't ever make it into the literature, the effect size we aggregate across papers will only draw from those that fall outside of the white inner region.\n", "\n", "\n", "\n", "This is a problem because the whole point of science is to estimate the \"true\" underlying distribution of an effect, as opposed to merely determining whether it is \"different from zero\". So, let's show the \"true\" and \"reported\" distributions at the top and see what happens.\n", "\n", "\n", "\n", "On the top of the funnel plot we can see the two distributions at play. In green is the \"null\" distribution, meaning the set of results we'd expect to see if there was really no statistical effect. Now we have more explanation for the white region of non-significance in the middle. As we have smaller sample sizes (lower y-values), the noise increases, and we'd expect more variability under the null distribution. This is why we need a really large effect size to conclude that there's really something going on.\n", "\n", "Now look at the \"alternative\" hypothesis in red. This is the \"experimental\" distribution of this statistic, as determined from the results combined across many studies that estimate this effect. From these results, it looks like it is quite different from the \"null\" distribution. Hooray, science has found an effect!\n", "\n", "But wait a second, there's something funny about these results. Notice how the datapoints (the effect sizes in reported studies) seem to follow the boundary between the white and the grey regions? Also note that they don't look symmetric around the mean of the \"experimental\" distribution. That's positive publication bias in action.\n", "\n", "The reason that data points follow the boundary between white / grey isn't because that's the \"truth\", but because our publishing system and scientific incentives suppress findings that lie in the white region. It doesn't mean these data points don't exist, they just lie in the filing cabinets of labs all of the world who aren't able to publish results that aren't significant. As a result, we get a skewed idea of what the true effect size is.\n", "\n", "There's another problem with this plot. As we've noted, small sample sizes means that you can only write papers with really large effect sizes. Seems reasonable, but if you can't report non-significant results, it means that studies with a smaller N are the most likely to throw off our belief about the true effect size.\n", "\n", "## Getting our hands dirty with some code\n", "But this is all very theoretical...to show how this works, we'll investigate funnel plots with a quick simulation to drive the point home. \n", "\n", "We'll simulate 10,000 studies, each with an N ranging from 2 to 50. We'll ignore all of the \"questionable scientific practices\" that the article mentions, and only focus on the problem of not reporting scientific results. Let's see what happens:\n", "\n", "**Note: you can skip reading the code below if you like, as it just defines some functions that will be useful, but feel free to dig into the code if you like**" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Helper functions to simulate experiments.\n", "def simulate_data(effect, variance, n):\n", " \"\"\"Simulate a population of data. We'll sample from this in each study.\n", " Note that we're drawing from a normal distribution.\"\"\"\n", " data = np.sqrt(true_variance) * np.random.randn(int(n))\n", " data += effect\n", " return data\n", "\n", "def simulate_experiments(data, n_min=10, n_max=50, prefer_low_n=False,\n", " n_simulations=100):\n", " \"\"\"Randomly simulates data collection and analyses of many experiments.\n", " \n", " On each iteration, it chooses a random sample from data, calculates the\n", " mean of that sample, as well as a p-value associated with that mean's\n", " difference from 0.\n", " \n", " data : the full population dataset\n", " n_min : the minimum sample size for each study.\n", " n_max : the maximum sample size for each study.\n", " prefer_low_n : whether lower sample sizes are preferred.\n", " \"\"\"\n", " effects = np.zeros(n_simulations)\n", " n = np.zeros(n_simulations)\n", " p = np.zeros(n_simulations)\n", " for ii in range(n_simulations):\n", " # Take a random sample from the population\n", " if prefer_low_n is False:\n", " n_sample = np.random.randint(n_min, n_max, 1)[0]\n", " else:\n", " probabilities = np.logspace(5, 1, n_max - n_min)\n", " probabilities /= np.sum(probabilities)\n", " n_sample = np.random.choice(range(n_min, n_max),\n", " p=probabilities)\n", " ixs_sample = random_indices[ii][:n_sample]\n", " i_data = data[ixs_sample]\n", " effects[ii] = np.mean(i_data)\n", " n[ii] = n_sample\n", " p[ii] = calculate_stat(np.mean(i_data), np.std(i_data), n_sample)\n", " return effects, n, p\n", "\n", "def calculate_stat(mean, std, n, h0=0):\n", " \"\"\"Calculate a p-value using a t-test.\n", " \n", " Note that this probably *isn't* the right test to run with data that\n", " is bounded on either side (in this case, -1 and 1). However, luckily\n", " this is not a statistics tutorial so I'm just going to be blissfully\n", " ignorant of this.\n", " \"\"\"\n", " t = (mean - h0) / (std / np.sqrt(n))\n", " p = distributions.t.pdf(t, n-1)\n", " return p\n", "\n", "\n", "def plot_funnel_plot(effects, sample_sizes,\n", " effects_reported, sample_sizes_reported,\n", " p_effects_reported):\n", " \"\"\"Creates a funnel plot using a 'full' set of effects, corresponding\n", " to the effects we'd report if all results were published, regardless of\n", " their 'significance', as well as a 'reported' set of effects which made\n", " it through peer review\"\"\"\n", " # Create a figure w/ 2 axes\n", " fig = plt.figure(figsize=(5, 5))\n", " axdist = plt.subplot2grid((4, 4), (0, 0), 1, 4)\n", " axmesh = plt.subplot2grid((4, 4), (1, 0), 3, 4)\n", "\n", " # Calculate relevant stats\n", " mn_full = effects.mean()\n", " std_full = effects.std()\n", " mn_pub = effects_reported.mean()\n", " std_pub = effects_reported.std()\n", " \n", " mn_diff = np.abs(mn_full - mn_pub)\n", " std_diff = np.abs(std_full - std_pub)\n", " \n", " # First axis is a histogram of the distribution for true/experimental effects\n", " bins = np.arange(-2, 2, .1)\n", " _ = axdist.hist(effects, color='k', histtype='stepfilled',\n", " normed=True, bins=bins)\n", " _ = axdist.hlines(4.5, mn_full - std_full, mn_full + std_full,\n", " color='.3', lw=2)\n", " _ = axdist.hist(effects_reported, color='r', histtype='step', lw=2,\n", " normed=True, bins=bins)\n", " _ = axdist.hlines(4.0, mn_pub - std_pub, mn_pub + std_pub,\n", " color='r', lw=2)\n", " axdist.set_ylim([0, 5])\n", " axdist.set_title('Distribution of effects\\nError in mean: {:.3f}'\n", " '\\nError in std: {:.3f}'.format(mn_diff, std_diff))\n", " axdist.set_axis_off()\n", "\n", " # Now make the funnel plot\n", " sig = pvals < .05\n", " mesh = axmesh.contour(combinations[0], combinations[1], sig, cmap=plt.cm.Greys,\n", " vmin=0, vmax=3, rasterized=True)\n", " \n", " inv_p_effects = 1 - p_effects_reported\n", " axmesh.scatter(effects, sample_sizes,\n", " s=100, c='k', alpha=.1)\n", " axmesh.scatter(effects_reported, sample_sizes_reported,\n", " s=100, c=inv_p_effects,\n", " vmin=.95, vmax=1., cmap=plt.cm.viridis)\n", " axmesh.axis('tight')\n", " axmesh.set_xlabel('Effect Size')\n", " axmesh.set_ylabel('Sample Size (or statisical power)')\n", "\n", " _ = plt.setp(axdist, xlim=axmesh.get_xlim())\n", " return fig" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Simulating the population\n", "Here we'll create a population of datapoints corresponding to the effect of each person. Experiments are performed by taking a random sample from that population, and calculating the average effect of the sample. For each experiment we'll choose a random number for the sample size as well. That means that we'll get a collection of sample sizes, effect sizes, and p-values. One set for each simulated experiment." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# This is the true value and variance of our variable of interest.\n", "# Remember, it's bounded between -2 and 2\n", "true_value = .5\n", "true_variance = 2\n", "\n", "# This creates the contour to show the \"significance edge\" of the plot\n", "n_simulations = 200\n", "effect_sizes = np.linspace(-2, 2, 1000)\n", "ns = np.arange(2, 100, .1)\n", "combinations = np.meshgrid(effect_sizes, ns)\n", "pvals = calculate_stat(combinations[0], np.sqrt(true_variance),\n", " combinations[1])\n", "\n", "# How many simulations will we run, and how large is the full population\n", "total_population = 1e5\n", "n_min, n_max = 5, 100\n", "\n", "# We'll pre-define these because they take a while\n", "population_indices = np.arange(total_population).astype(int)\n", "random_indices = [np.random.permutation(population_indices)\n", " for _ in range(n_simulations)]\n", "\n", "# First create our population data\n", "data = simulate_data(true_value, true_variance, total_population)\n", "\n", "# Simulate a bunch of random effects, along w/ sample size and p-value for each\n", "effects, n, p = simulate_experiments(data, n_min=n_min, n_max=n_max,\n", " n_simulations=n_simulations)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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SpqpFNGAqVdwGoH2Q4x38ztcGu4BMwG2M+baMtIOBNcaYC/0PisijlVW5AEuBk4IcPwHI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\n70o9+eTefPh5TkgtxY8+yyQ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ml7yiPJKTy952qyz+QSsvt4DjBzQqNf32tTmk7yjkwvOt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//lxTcP4HS4CAzyZ9jwMTz00EN069ZNiywvEhrsMCsaSbcClkkpy4UQQp6jCVEhRAzwDjBUSlmf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\numUrb7zxBitX/ZMPHk5ECNDqtNisa/H0WszU26ayd98+Jt73I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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "# In this case, the reported and actual effects are the same\n", "_ = plot_funnel_plot(effects, n, effects, n, p)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the funnel plot above, each datapoint corresponds to the effect size found in a single study (x-axis), along with its sample size (y-axis).\n", "\n", "The contour lines show us the \"significance cutoffs\".\n", "\n", "The distributions at the top show us the effect size distribution for *all* experiments, as well as the distribution for only the *reported* experiments. In this case, those distributions are the same because all of our scientific experiments reported their results. We have an accurate idea of the effect size.\n", "\n", "# Simulate the scientific publishing world\n", "Now, let's simulate the scientific publishing process and see what happens. We'll take a relatively generous take on things, and say that studies with a p-value > .05 still have a small chance of being accepted." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# This simulates which datapoints we keep and which we throw out\n", "def simulate_publishing(pvals, null_perc=.01, pos_p_perc=.5, super_p_perc=.9):\n", " \"\"\"Given a collection of p-vals, randomly choose ones to accept for\n", " publication, with the likelihood of acceptance varying with the size\n", " of the p-value.\"\"\"\n", " keep = np.zeros_like(pvals).astype(bool)\n", " for i, ip in enumerate(pvals):\n", " flip = np.random.rand()\n", " if ip > .05:\n", " this_perc = null_perc\n", " elif ip > .005 and ip < .05:\n", " this_perc = pos_p_perc\n", " else:\n", " this_perc = super_p_perc\n", " keep[i] = True if flip < this_perc else False\n", " return keep\n", "\n", "def plot_simulation_results(p_values, mask_reported):\n", " \"\"\"A quick way to viz which papers get accepted and which don't\"\"\"\n", " fig, ax = plt.subplots()\n", " sc = ax.scatter(range(len(p_values)), p_values,\n", " c=mask_reported, s=50, cmap=plt.cm.viridis,\n", " vmin=0, vmax=1)\n", " ax.axhline(.05, ls='--')\n", " _ = plt.setp(ax, ylabel=\"p-value\", xlabel=\"study number\",\n", " title='Accepted and rejected studies')\n", " return ax" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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KRHoB6bVk6bqj6rKDxQKdIx3w7eCKqOZBA6ZSqkYisifwAzZ41GbrDqhOs/QT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\nBv8fdbGVkhmj0nAAAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mask_reported = simulate_publishing(p, null_perc=.1, pos_p_perc=.5,\n", " super_p_perc=.9)\n", "effects_reported = effects[mask_reported]\n", "n_reported = n[mask_reported]\n", "p_reported = p[mask_reported]\n", "_ = plot_funnel_plot(effects, n, effects_reported, n_reported, p_reported)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [ { "data": {}, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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qs0kLQGBgIPMXzKf35X1YlfQDdZwNCSMSJ07ibQc5zmGu7Hclr7zySpHrtNls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\n+e6770xkrSgDmFD/cBPuH2l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DD+t7WR7GGH7//Xc2bdqEv78/PXr0OOv2nCq5tWvX0rlz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Tsk0OX2e1m4cBEHDx5kyJB7uHw5nkb1XfHzUTh13kpaeimDBg3kyy8X/WVzzBkzZvDss8/iowZQ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\nUxVWbyigQ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ZOv+EmHVi7ipXiJXtWkXw83Kb5S+UjuzRd8RVOR7p1cZPWiYAkL1jvLNOwe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\nERER31DiIiIiIr7x/wGXcpLzZ+WECQAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_simulation_results(p, mask_reported)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can already see that we've skewed the distribution of *reported* findings (in red) further to the right. This is because it is less likely for experiments inside the contour lines to be reported in the literature, making us think that the effect size is larger than it really is.\n", "\n", "Now, let's take a more cynical look at scientific publishing by reducing the likelihood that studies are published w/o a \"significant\" result:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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mDDnWY4yvgdfqiPuJTBswpq4vCm2SBkyllNv7DVXD5DiPTVRv/BnXiHHc/YBZ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\n4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UeRhSLtR7fs0rWsOLaVbVvLYdhTT3Oybp2V9R8eY0f3zKHZv/49y6cvjXH66acZVZcm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\nifY2vzVkrVOjXkNDA42NjYTDYWco6qijj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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "mask_reported = simulate_publishing(p, null_perc=0, pos_p_perc=.3,\n", " super_p_perc=.99)\n", "effects_reported = effects[mask_reported]\n", "n_reported = n[mask_reported]\n", "p_reported = p[mask_reported]\n", "_ = plot_funnel_plot(effects, n, effects_reported, n_reported, p_reported)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's skewed even further to the right. As you can see, the harder it is to publish null results, the more overconfident we will be in the significance of what's in the literature. As you can probably tell, this is especially problematic for effect sizes lie near the boundary between publishable / non-publishable.\n", "\n", "# Adding a low-N bias\n", "As we mentioned above, there's one more factor at play that makes things even worse. Smaller studies take less time and less resources to conduct, and in practice there are *far* more tiny studies than large, highly-powered ones. Let's incorporate that into our data simulation and see how that affects things." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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QiLO3KZX+GSfMmjlhmjXHy0h/f7XeFhkhTQBQNWECr2AKkmILmyfpZWNsvzYi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cxKV76eB7wD2C8VN8No4Oz08fnAj6qM8biIuEPSIpIR6oUksS+QNCMi/lTufZIuA+4GLo+IbWnx\n9EHiPme4sZrVixOmWT4ORsSOYbbxdmAX0MWJiReShTkAh4d5jOMi4lXgIeAhSQuAZ4HbgOtPVl/S\nNKAXmB8RmyqM26zpOGGata6tJNcIj0XEzjJ1/gDMBFaWef2/wIhKDxwRRyVtI1klO4Ck8SSratdG\nxOIq4jZrOk6YZvl4q6RJJWVHI2Jf1gYiYqOk3wA/kXQ78AJwOjAbWBcRW4Fvkiym2Q78GBgFXBoR\n96TNvARcLGkNycrdAcdPFw5dk77/BZJR4RzgMpJbY45XLXr8MHAIWFhynrszxm3WdJwwzfJxKcm0\nZLG/AtMqbGc2cCewHHgXyYrWx0lXo0bEY5I+TbIS9nbgQPp6wdeApcA24C2cfLT5PHAQuBc4g+R+\n0ReBz0fE6qJ6xatkZ6TPC9POSp+/F9g5VNxmzUgRMXQtMzOzDuf7MM3MzDJwwjQzM8vACdPMzCwD\nJ0wzM7MMnDDNzMwycMI0MzPLwAnTzMwsAydMMzOzDJwwzczMMnDCNDMzy8AJ08zMLIP/ARw+S9Z6\nEpX2AAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# This simulates data where there is about a 10 times higher chance for a low-n study\n", "effects, n, p = simulate_experiments(data, n_min=n_min, n_max=n_max,\n", " prefer_low_n=True) \n", "\n", "mask_reported = simulate_publishing(p, null_perc=0., pos_p_perc=.3,\n", " super_p_perc=.99)\n", "effects_reported = effects[mask_reported]\n", "n_reported = n[mask_reported]\n", "p_reported = p[mask_reported]\n", "\n", "_ = plot_funnel_plot(effects, n, effects_reported, n_reported, p_reported)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's even worse. As you can see, both of these factors (studies with a low N, not being able to publish null results) give the scientific community an unrealistic idea of the true effect size. Moreover, we haven't even incorporated any experimenter-specific biases, such as defining datapoints that nullify an effect as \"outliers\", not reporting studies that are significant but in the *opposite* direction of what we'd expect, and collecting more data until they achieve a significant p-value. All of these practices would serve to enhance the positive bias seen above.\n", "\n", "In many cases, this might cause us to conclude that there *is* an effect, when in reality there is not. Unfortunately, this often has wide-ranging implications for things like policy decisions, and at the least causes scientists to be ineffective and inefficient at asking questions about the world.\n", "\n", "All of this is not to say that science \"doesn't work\", but it's important to remember that science is about methodology before anything else, and the tools of empiricism and peer review are in constant evolution as we learn more about the pitfalls of our current approach. This is one way to identify these pitfalls, and hopefully in future years the community will adapt in order to avoid them." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Try it yourself!\n", "If you're curious about how all of these factors (effect size, effect variability, sample size, and publishing practices) interact, here's a quick function to let you play around with each one and determine what the effect would look like in the literature. There are particular circumstances in which these issues are most apparent, and most problematic. See if you can figure out what those circumstances are." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Create datasets with new effects / variances here\n", "effect = .5\n", "variance = 3\n", "n_population = 1e6\n", "n_simulations = 100\n", "data = simulate_data(effect, variance, n_population)\n", "\n", "# We'll pre-define these because they take a while\n", "population_indices = np.arange(len(data)).astype(int)\n", "random_indices = [np.random.permutation(population_indices)\n", " for _ in range(n_simulations)]\n", "\n", "sample_min = 4\n", "sample_max = 100\n", "prefer_low_n = True\n", "effects, n, p = simulate_experiments(data, n_min=sample_min, n_max=sample_max,\n", " prefer_low_n=prefer_low_n, n_simulations=n_simulations)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [ { "data": {}, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, 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vZo5lKJYAu+VQf+XAm6uAd0eP/vQwwBefj4SNPf1tnwD2WAH+Tl8N/A56J8Dv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\n3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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_simulated_data(null_perc=.05, pos_perc=.5, super_p_perc=1.):\n", " \"\"\"\n", " null_perc = Chance of accepting paper w/ a null result (p<.05)\n", " pos_perc = Chance of accepting a paper w/ a moderate effect size\n", " super_p_perc = Chance of accepting a paper w/ a big effect size\n", " \"\"\"\n", " mask_reported = simulate_publishing(\n", " p, null_perc=null_perc, pos_p_perc=pos_perc, super_p_perc=super_p_perc)\n", " effects_reported = effects[mask_reported]\n", " n_reported = n[mask_reported]\n", " p_reported = p[mask_reported]\n", " plot_funnel_plot(effects, n, effects_reported, n_reported, p_reported)\n", " \n", "interact(plot_simulated_data,\n", " null_perc=[0., 1., .01],\n", " pos_perc=[0., 1., .01],\n", " super_p_perc=[0., 1., .01])" ] } ], "metadata": { "category": "til", "date": "2016-11-30", "hide_input": false, "interactive": true, "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": "3.5.4" }, "redirect": "funnel-plots", "tags": "python, funnel plots, open science, visualizations, simulations", "title": "Visualizing publication bias" }, "nbformat": 4, "nbformat_minor": 2 }