{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "(BEST)=\n", "# Bayesian Estimation Supersedes the T-Test\n", "\n", ":::{post} Jan 07, 2022\n", ":tags: hypothesis testing, model comparison, \n", ":category: beginner\n", ":author: Andrew Straw, Thomas Wiecki, Chris Fonnesbeck, Andrés suárez\n", ":::" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running on PyMC v5.26.1\n" ] } ], "source": [ "import arviz.preview as az\n", "import numpy as np\n", "import preliz as pz\n", "import pymc as pm\n", "import xarray as xr\n", "\n", "print(f\"Running on PyMC v{pm.__version__}\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%config InlineBackend.figure_format = 'retina'\n", "az.style.use(\"arviz-variat\")\n", "rng = np.random.default_rng(seed=42)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Problem\n", "\n", "This model replicates the example used in **Bayesian estimation supersedes the t-test** {cite:p}`kruschke2013`.\n", "\n", "Several statistical inference procedures involve the comparison of two groups. We may be interested in whether one group is larger than another, or simply different from the other. We require a statistical model for this because true differences are usually accompanied by measurement or stochastic noise that prevent us from drawing conclusions simply from differences calculated from the observed data. \n", "\n", "The *de facto* standard for statistically comparing two (or more) samples is to use a statistical test. This involves expressing a null hypothesis, which typically claims that there is no difference between the groups, and using a chosen test statistic to determine whether the distribution of the observed data is plausible under the hypothesis. This rejection occurs when the calculated test statistic is higher than some pre-specified threshold value.\n", "\n", "Unfortunately, it is not easy to conduct hypothesis tests correctly, and their results are very easy to misinterpret. Setting up a statistical test involves several subjective choices (*e.g.* statistical test to use, null hypothesis to test, significance level) by the user that are rarely justified based on the problem or decision at hand, but rather, are usually based on traditional choices that are entirely arbitrary {cite:p}`johnson1999`. The evidence that it provides to the user is indirect, incomplete, and typically overstates the evidence against the null hypothesis {cite:p}`goodman1999`. \n", "\n", "A more informative and effective approach for comparing groups is one based on **estimation** rather than **testing**, and is driven by Bayesian probability rather than frequentist. That is, rather than testing whether two groups are different, we instead pursue an estimate of how different they are, which is fundamentally more informative. Moreover, we include an estimate of uncertainty associated with that difference which includes uncertainty due to our lack of knowledge of the model parameters (epistemic uncertainty) and uncertainty due to the inherent stochasticity of the system (aleatory uncertainty)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: Drug trial evaluation\n", "\n", "To illustrate how this Bayesian estimation approach works in practice, we will use a fictitious example from {cite:t}`kruschke2013` concerning the evaluation of a clinical trial for drug evaluation. The trial aims to evaluate the efficacy of a \"smart drug\" that is supposed to increase intelligence by comparing IQ scores of individuals in a treatment arm (those receiving the drug) to those in a control arm (those receiving a placebo). There are 47 individuals and 42 individuals in the treatment and control arms, respectively." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 559, "width": 2423 } }, "output_type": "display_data" } ], "source": [ "# fmt: off\n", "iq_drug = np.array([\n", " 101, 100, 102, 104, 102, 97, 105, 105, 98, 101, 100, 123, 105, 103, \n", " 100, 95, 102, 106, 109, 102, 82, 102, 100, 102, 102, 101, 102, 102,\n", " 103, 103, 97, 97, 103, 101, 97, 104, 96, 103, 124, 101, 101, 100,\n", " 101, 101, 104, 100, 101\n", "])\n", "\n", "iq_placebo = np.array([\n", " 99, 101, 100, 101, 102, 100, 97, 101, 104, 101, 102, 102, 100, 105,\n", " 88, 101, 100, 104, 100, 100, 100, 101, 102, 103, 97, 101, 101, 100,\n", " 101, 99, 101, 100, 100, 101, 100, 99, 101, 100, 102, 99, 100, 99\n", "])\n", "# fmt: on\n", "dt = xr.Dataset({\"iq_drug\": ([\"drug\"], iq_drug), \"iq_placebo\": ([\"placebo\"], iq_placebo)})\n", "az.plot_dist(dt, kind=\"ecdf\", sample_dims=[\"drug\", \"placebo\"]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first step in a Bayesian approach to inference is to specify the full probability model that corresponds to the problem. For this example, Kruschke chooses a Student-t distribution to describe the distributions of the scores in each group. This choice adds robustness to the analysis, as a T distribution is less sensitive to outlier observations, relative to a normal distribution. The three-parameter Student-t distribution allows for the specification of a mean $\\mu$, a precision (inverse-variance) $\\lambda$ and a degrees-of-freedom parameter $\\nu$:\n", "\n", "$$f(x|\\mu,\\lambda,\\nu) = \\frac{\\Gamma(\\frac{\\nu + 1}{2})}{\\Gamma(\\frac{\\nu}{2})} \\left(\\frac{\\lambda}{\\pi\\nu}\\right)^{\\frac{1}{2}} \\left[1+\\frac{\\lambda(x-\\mu)^2}{\\nu}\\right]^{-\\frac{\\nu+1}{2}}$$\n", " \n", "The degrees-of-freedom parameter essentially specifies the \"normality\" of the data, since larger values of $\\nu$ make the distribution converge to a normal distribution, while small values (close to zero) result in heavier tails. Thus, the likelihood functions of our model are specified as follows:\n", "\n", "$$y^{(treat)}_i \\sim T(\\nu, \\mu_1, \\sigma_1)$$\n", "\n", "$$y^{(placebo)}_i \\sim T(\\nu, \\mu_2, \\sigma_2)$$\n", "\n", "As a simplifying assumption, we will assume that the degree of normality $\\nu$ is the same for both groups. We will, of course, have separate parameters for the means $\\mu_k, k=1,2$ and standard deviations $\\sigma_k$. Since the means are real-valued, we will apply normal priors on them, and arbitrarily set the hyperparameters to the pooled empirical mean of the data and twice the pooled empirical standard deviation, which applies very diffuse information to these quantities (and importantly, does not favor one or the other *a priori*).\n", "\n", "$$\\mu_k \\sim N(\\bar{x}, 2s)$$" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "mu_m = dt.to_array().mean().item()\n", "mu_s = dt.to_array().std().item() * 2\n", "\n", "with pm.Model() as model:\n", " group1_mean = pm.Normal(\"group1_mean\", mu=mu_m, sigma=mu_s)\n", " group2_mean = pm.Normal(\"group2_mean\", mu=mu_m, sigma=mu_s)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The group standard deviations will be given a uniform prior over a plausible range of values for the variability of the outcome variable, IQ.\n", "\n", "In Kruschke's original model, he uses a very wide uniform prior for the group standard deviations, from the pooled empirical standard deviation divided by 1000 to the pooled standard deviation multiplied by 1000. This is a poor choice of prior, because very basic prior knowledge about measures of human coginition dictate that the variation cannot ever be as high as this upper bound. IQ is a standardized measure, and hence this constrains how variable a given population's IQ values can be. When you place such a wide uniform prior on these values, you are essentially giving a lot of prior weight on inadmissable values. In this example, there is little practical difference, but in general it is best to apply as much prior information that you have available to the parameterization of prior distributions. \n", "\n", "We will instead set the group standard deviations to have a $\\text{Uniform}(1,10)$ prior:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "sigma_low = 10**-1\n", "sigma_high = 10\n", "\n", "with model:\n", " group1_std = pm.Uniform(\"group1_std\", lower=sigma_low, upper=sigma_high)\n", " group2_std = pm.Uniform(\"group2_std\", lower=sigma_low, upper=sigma_high)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We follow Kruschke by making the prior for $\\nu$ exponentially distributed with a mean of 30; this allocates high prior probability over the regions of the parameter that describe the range from normal to heavy-tailed data under the Student-T distribution." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 560, "width": 1677 } }, "output_type": "display_data" } ], "source": [ "with model:\n", " nu_minus_one = pm.Exponential(\"nu_minus_one\", 1 / 29.0)\n", " nu = pm.Deterministic(\"nu\", nu_minus_one + 1)\n", " nu_log10 = pm.Deterministic(\"nu_log10\", np.log10(nu))\n", "\n", "pz.plot(nu_minus_one, figsize=(6, 3));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since PyMC parametrizes the Student-T in terms of precision, rather than standard deviation, we must transform the standard deviations before specifying our likelihoods." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "with model:\n", " lambda_1 = group1_std**-2\n", " lambda_2 = group2_std**-2\n", " group1 = pm.StudentT(\"drug\", nu=nu, mu=group1_mean, lam=lambda_1, observed=iq_drug)\n", " group2 = pm.StudentT(\"placebo\", nu=nu, mu=group2_mean, lam=lambda_2, observed=iq_placebo)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Having fully specified our probabilistic model, we can turn our attention to calculating the comparisons of interest in order to evaluate the effect of the drug. To this end, we can specify deterministic nodes in our model for the difference between the group means and the difference between the group standard deviations. Wrapping them in named `Deterministic` objects signals to PyMC that we wish to record the sampled values as part of the output. As a joint measure of the groups, we will also estimate the \"effect size\", which is the difference in means scaled by the pooled estimates of standard deviation. This quantity can be harder to interpret, since it is no longer in the same units as our data, but the quantity is a function of all four estimated parameters." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "with model:\n", " diff_of_means = pm.Deterministic(\"difference of means\", group1_mean - group2_mean)\n", " diff_of_stds = pm.Deterministic(\"difference of stds\", group1_std - group2_std)\n", " effect_size = pm.Deterministic(\n", " \"effect size\", diff_of_means / np.sqrt((group1_std**2 + group2_std**2) / 2)\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we can fit the model and evaluate its output." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [group1_mean, group2_mean, group1_std, group2_std, nu_minus_one]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "1a767c3bac464e06ba731d0c89764011", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 2 seconds.\n"
     ]
    }
   ],
   "source": [
    "with model:\n",
    "    idata = pm.sample()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can plot the stochastic parameters of the model. Arviz's `plot_posterior` function replicates the informative histograms portrayed in {cite:p}`kruschke2013`. These summarize the posterior distributions of the parameters, and present a 95% credible interval and the posterior mean. The plots below are constructed with the final 1000 samples from each of the 2 chains, pooled together."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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" ] }, "metadata": { "image/png": { "height": 860, "width": 2903 } }, "output_type": "display_data" } ], "source": [ "az.plot_dist(\n", " idata,\n", " var_names=[\"group1_mean\", \"group2_mean\", \"group1_std\", \"group2_std\", \"nu\", \"nu_log10\"],\n", ");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looking at the group differences below, we can conclude that there are meaningful differences between the two groups for all three measures. For these comparisons, it is useful to use zero as a reference value (`ref_val`); providing this reference value yields cumulative probabilities for the posterior distribution on either side of the value. Thus, for the difference of means, at least 97% of the posterior probability are greater than zero, which suggests the group means are credibly different. The effect size and differences in standard deviation are similarly positive.\n", "\n", "These estimates suggest that the \"smart drug\" increased both the expected scores, but also the variability in scores across the sample. So, this does not rule out the possibility that some recipients may be adversely affected by the drug at the same time others benefit." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 559, "width": 3623 } }, "output_type": "display_data" } ], "source": [ "pc = az.plot_dist(\n", " idata,\n", " var_names=[\"difference of means\", \"difference of stds\", \"effect size\"],\n", ")\n", "az.add_lines(pc, 0);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When `plot_forest` is called on a trace with more than one chain, it also plots the potential scale reduction parameter, which is used to reveal evidence for lack of convergence; values near one, as we have here, suggest that the model has converged." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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xYrz11lv5HgcAgE5s+vTpMWPGjJRrTj755NwM0w7OtQEA6My6+vV2rjnbBgCgs+qSwV0nnnhiFBUVJa2nCtlqj7fffjvmzp2btD5x4sSt3vOAAw6I8vLyjoyV0lVXXRUHHXRQ0nqm/x0ls/POO8ePf/zjKCkpyUm/TNl7772jf//+Wdv/3HPPjU996lNJ61OmTImWlpas9f9X3/72t+OAAw5o9/PLysrizjvvTPnB1fLly+ORRx5pd49seOaZZ+Jvf/tb0vp+++0XN910U/To0aPDvUaPHh3XXHNN0vrcuXPj2Wef7XAfAAAAAACAbKiqqkpZ79OnT1b79+7dO2W9rfkAAIAPmz9/fnz605+O3/72t/keBQCATqi+vj6uu+66lGvGjBkTBx98cI4m2nrOtQEA6Ky6w/V2vjjbBgCgs+mSwV0DBgyII444Iml96tSpGQ09mjx5ctJacXFxHH/88RnrlSkFBQXxzW9+MwoLC1utv/zyy7F27dqsz3HNNdd0udCuXLn88sujrKys1dry5ctThsVlykEHHdSu4Ll/V1FREV/5yldSrrnvvvs63CeT7rzzzqS13r17x1133RU9e/bMWL+TTjopxo8fn7T+0EMPZawXAAAAAABAJm3YsCFlPZtfWJTO/uvXr89qfwAA6I4aGhriyiuvjNtvvz3fowAA0Mn84Ac/iEWLFqVcc8kll+RmmHZyrg0AQGfVHa6388nZNgAAnUlRvgdor4kTJ8azzz7bam358uUxc+bMOOSQQzrcp6mpKaZOnZq0Pnbs2Nhuu+063CcbRo4cGfvvv3+8/PLLW9RaWlpi5syZceyxx2at/zHHHBOHHnpo1vbv6ioqKuLoo4+OKVOmtFqfMWNGjB49Omv9E4lEfPOb38zYfhMnTowHHngg5syZ02r9nXfeiTfffDP23nvvjPVsr9dffz3pnBER559/fgwYMCDjfS+44IJ46qmnWq1Nnz491qxZk5W+AAAAAAAAHVFTU5OyXlpamtX+yb4M5x/q6uqy2h8AAPKpoKAgRowYEXvssUfsvvvu8ZGPfCT69u0b5eXlUVZWFjU1NVFVVRVVVVUxd+7ceOWVV2L27NnR0NCQ1v533XVXlJSUxLnnnpvlVwIAQFfw/PPPxy9/+cuUa4455pj42Mc+lqOJ2se5NgAAnVF3ud5Oh7NtAAC2BV02uGvs2LHRr1+/qKqqarU+ZcqUjAR3vfDCC1FZWZm0PmHChA73yKZPfOITrQZ3RUS88cYbWQ3uOu2007K2d3fxiU98Imlw1xtvvJH13iNHjszYfgUFBXHBBRfEl770paRrnnjiiU4R3PW73/0uaW3gwIFx5plnZqXvyJEj45BDDomXXnppi1pTU1O88MIL8alPfSorvQEAAAAAANqrsbExZb2oKLsfOxcXF6esp/tLmwAA0FUUFxfHxz/+8Rg7dmyMHTs2tt9++7Sed9xxx0VERHV1dfzmN7+J++67L1atWtXm82655ZbYfffd48gjj+zQ3AAAdG3Lli2Lr371q9HS0pJ0Tb9+/TL6BeLZ4lwbAIDOpjtdbyfjbBsAgG1NIt8DtFePHj3i+OOPT1r/4x//GLW1tR3ukyxUKSKif//+8fGPf7zDPbJp9913T1pbsGBB1voOHjw4Dj300Kzt312ken/efvvtrPY+4YQTMr7nkUceGX369Elaf+GFFzLec2u1tLTEM888k7T+H//xH9GjR4+s9T/88MOT1mbMmJG1vgAAAAAAAO3V1g1E2b7BqbCwMGW9rRuwAACgqxg8eHB8+ctfjueffz5+9KMfxWc+85m0b2z6V+Xl5XHOOefEtGnT4sILL4xEIvWvira0tMRXv/rVWLt2bXtHBwCgi6uuro4LLrggqqqqUq67+uqrY9CgQbkZqgOcawMA0Jl0t+vtf+dsGwCAbVWXDe6KiJgwYULSWm1tbfzpT3/q0P4bN26MadOmJa2feOKJbX4LRr4NHDgwaW3x4sVZ63vEEUe0+QMRqd+fpUuXRnNzc1b6lpaWxic/+cmM79ujR484+uijk9YXLFiQ9x+AZ8+eHWvWrElaP/bYY7Pa/4ADDkhamzNnTlZ7AwAAAAAAtEdTU1PKels3IHVUW/u3dQMWAAB0BTvssEP8+c9/jvPPPz8GDBiQkT179OgRX/rSl+Kee+6J/v37p1xbVVUVt9xyS0b6AgDQtTQ1NcWll17a5pePn3rqqXHcccflaKqOca4NAEBn0R2vt/+Vs20AALZlXTpZae+9947ddtstaX3KlCkd2v/JJ5+M+vr6pPVUwWHZ0NLSEtXV1bFmzZr44IMPYtmyZW3+U1NTk3S/1atXZ23WvfbaK2t7d2b/eH9WrFiR1vuzYcOGpHs1NTVlLeRq//33j169emVl74997GNJay0tLXkPp/r73/+etFZUVBT77bdfVvvvvvvuSWvvvvtubN68Oav9AQAAAAAAtlZbNxi1dQNUR7W1f1FRUVb7AwBALhQVFWUtPODQQw+Nn/3sZ1FSUpJy3R/+8Id47733sjIDAACd17XXXhvPPfdcyjWjR4+Oq666KjcDZYBzbQAAOovueL39r5xtAwCwLevyJ70nn3xy3HTTTa3WZs6cGR988EHsuOOO7dp78uTJSWsjR46MUaNGtWvftjQ0NMQbb7wRs2bNinnz5sV7770Xy5cvj6qqqmhsbMxYn02bNkVNTU2UlZVlbM9/2HPPPTO+Z2fR3Nwcc+bMiTfeeCPmzJkT7733XixdujTWrVuX8W89Wbt2bQwcODCje0b833+/2dLW3gsWLIgjjjgia/3bMnfu3KS1oUOHRnFxcVb7l5WVRXFxcav/rTQ2NsbKlStj6NChWZ0BAAAAAABga7T1+Um+b3DK9uc7AADQHey1115x0003xYUXXhgtLS2trmlubo777rsvrr766hxPBwBAvtx+++3x0EMPpVwzaNCguPPOO6NHjx45mqrjnGsDANAZdNfr7Vxytg0AQGfW5YO7TjrppPjBD37Q6qF2c3NzPPLII3H++edv9b7vvfde/P3vf09anzBhwlbv2ZaXXnopfvvb38bzzz8fGzduzPj+ramvr89KcNcuu+yS8T3zbdasWfHb3/42pk2bFmvWrMlJz02bNmVl32wGdw0fPjx69uwZ9fX1rdYXL16ctd7peOedd5LWdtxxx1i2bFnWZygvL49169a1WhPcBQAAAAAAdDZFRak/Vs70l9ts7f5ucAIAgPQcffTRMX78+HjyySeTrnniiSfim9/8Zps/BwAA0PXdd999cdddd6Vc069fv7jnnnti8ODBOZoqM5xrAwCQb935ejvXnG0DANBZdfmrz+233z4OO+yw+Mtf/tJqffLkye0K7poyZUrSWlFRUZx44olbvWcyL7zwQtxyyy0xd+7cjO2ZrmThSh2RSCSyEgaWL7NmzYqbb745Zs6cmfPemzdvzsq+w4cPz8q+ERGFhYWx8847x9tvv91qvbKyMmu907FixYqktb/+9a8xbty4HE6zpaqqqrz2BwAAAAAA+HdtffZXW1ub1f41NTUp6yUlJVntDwAA3cnFF18cf/rTn1r9stSI//v9pZkzZ8Zhhx2W48kAAMil3/72t3HDDTekXFNWVhY/+9nPYsSIETmaKnOcawMAkE/d/Xo7H5xtAwDQGSXyPUAmTJgwIWlt8eLF8frrr2/Vfi0tLfHII48krR9xxBExYMCArdqzNbW1tXHFFVfEOeeck5fQrohI+gNKR5SVlUVBQUHG9821xsbGuOmmm+K0007LS2hXRHben4iIPn36ZGXffygvL09aW7NmTVZ7p9LY2JjX/unIVlgbAAAAAABAe7X12VJbNyB1VFv79+3bN6v9AQCgOxk+fHh88pOfTLnm5ZdfztE0AADkw2OPPRZXXXVVtLS0JF1TUlISP/nJT2KfffbJ4WSZ41wbAIB82Raut/PB2TYAAJ1RtwjuGjduXMpD9SlTpmzVfi+//HIsX748aX3ixIlbtV9r1q5dG1/4whfiD3/4Q4f36mza+maSrmDTpk1x/vnnx89//vNobm7O9zgZlypYK9v719XVZbV3KrW1tSkPOzqD+vr6fI8AAAAAAADwIW3dQLR+/fqs9t+4cWPKer9+/bLaHwAAupvDDz88ZX3WrFk5mgQAgFz785//HF/72tdS3ifRo0ePuPPOO+PAAw/M4WSZ5VwbAIB82Faut/PF2TYAAJ1Ntwju6tmzZxx77LFJ60888URs3rw57f0mT56ctNavX78YO3bs1oy3hU2bNsV5550Xs2fP7tA+nVVhYWG+R+iQ5ubm+PKXvxzTp0/P9yhZk8/grnwGU23atClvvdPV2YPFAAAAAACAbU///v1T1levXp3V/pWVlSnr2223XVb7AwBAd9PWzU2LFy/OzSAAAOTU888/H5dcckk0NjYmXVNcXBy33nprm9eMnZ1zbQAAcm1but7OF2fbAAB0NkX5HiBTJk6cGL/5zW9ara1fvz6eeeaZGD9+fJv71NXVxR//+Mek9eOPPz569OjR7jkjIr7//e+nndpbUVER+++/f4wcOTJ23nnnGDRoUAwYMCB69+4dZWVlUVRUFEVFRVFQUNDq85ctWxbjxo3r0LzbmnvuuSeeeeaZtNb269cv9ttvv9hzzz1j2LBhMXjw4BgwYED06dPnn+9PcXFx0vcnImKPPfbI1OhpSzVPJiQSyTMB8xlM1dTUlLfeAAAAAAAAXdXgwYNT1vN9g9NOO+2U1f4AANDdDBkyJEpKSqKurq7V+ooVK6KpqanLf4knAAD/34wZM+LCCy+MhoaGpGsKCwvjpptu6hb3oDjXBgAgl7a16+18cbYNAEBn022Cu/bdd9/YZZddkqbhTpkyJa3grj/96U9RU1OTtD5hwoT2jhgREfPmzYtf//rXKdf06NEjTjnllDj11FNj9OjRHeqXz5CkrqiysjLuuOOOlGsSiUQcd9xx8dnPfjb233//lCFVbcnX+1NdXZ3Vb2iprq5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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 829, "width": 2423 } }, "output_type": "display_data" } ], "source": [ "az.plot_forest(idata, var_names=[\"group1_std\", \"group2_std\", \"nu\"]);" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meansdeti89_lbeti89_ub
difference of means1.020.430.351.70
difference of stds1.000.440.341.73
effect size0.640.290.201.13
\n", "
" ], "text/plain": [ " mean sd eti89_lb eti89_ub\n", "difference of means 1.02 0.43 0.35 1.70\n", "difference of stds 1.00 0.44 0.34 1.73\n", "effect size 0.64 0.29 0.20 1.13" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "az.summary(\n", " idata, var_names=[\"difference of means\", \"difference of stds\", \"effect size\"], kind=\"stats\"\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Autorship" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Authored by Andrew Straw in Dec, 2012 ([best](https://github.com/strawlab/best))\n", "* Ported to PyMC3 by Thomas Wiecki in 2015\n", "* Updated by Chris Fonnesbeck in Dec, 2020\n", "* Ported to PyMC4 by Andrés Suárez in Ene, 2022 ([pymc-examples#52](https://github.com/pymc-devs/pymc-examples/issues/52))\n", "* Updated by Osvaldo Martin in Dec, 2025" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ ":::{bibliography}\n", ":filter: docname in docnames\n", ":::" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Watermark" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Last updated: Wed Dec 03 2025\n", "\n", "Python implementation: CPython\n", "Python version : 3.13.5\n", "IPython version : 9.3.0\n", "\n", "numpy : 2.2.6\n", "preliz: 0.21.0\n", "arviz : 0.23.0.dev0\n", "pymc : 5.26.1\n", "xarray: 2025.6.1\n", "\n", "Watermark: 2.5.0\n", "\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -n -u -v -iv -w" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ ":::{include} ../page_footer.md\n", ":::" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "pymc", "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": "3.13.5" }, "latex_envs": { "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 0 } }, "nbformat": 4, "nbformat_minor": 4 }