From c4a91e0f99e326dd2dab31a74c2339b96ecdcf15 Mon Sep 17 00:00:00 2001
From: Max Lapan <max.lapan@gmail.com>
Date: Thu, 3 Feb 2022 11:50:09 +0100
Subject: [PATCH] 12 done

---
 12-Chapter 12. Monsters and Mixtures.ipynb    | 48284 ++++++++++++++-
 .../12-Chapter 12. Monsters and Mixtures.html | 48399 +++++++++++++++-
 2 files changed, 94871 insertions(+), 1812 deletions(-)

diff --git a/12-Chapter 12. Monsters and Mixtures.ipynb b/12-Chapter 12. Monsters and Mixtures.ipynb
index e3ee9a6..d85ba8d 100644
--- a/12-Chapter 12. Monsters and Mixtures.ipynb	
+++ b/12-Chapter 12. Monsters and Mixtures.ipynb	
@@ -21,8 +21,8 @@
     "using FreqTables\n",
     "using Logging\n",
     "\n",
-    "default(label=false)\n",
-    "Logging.disable_logging(Logging.Warn);"
+    "default(label=false);\n",
+    "#Logging.disable_logging(Logging.Warn);"
    ]
   },
   {
@@ -53,87 +53,87 @@
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@@ -171,7 +171,24 @@
    "execution_count": 3,
    "id": "26ed367a",
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "┌ Info: Found initial step size\n",
+      "│   ϵ = 0.8\n",
+      "└ @ Turing.Inference /home/shmuma/.julia/packages/Turing/nfMhU/src/inference/hmc.jl:188\n",
+      "┌ Warning: The current proposal will be rejected due to numerical error(s).\n",
+      "│   isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)\n",
+      "└ @ AdvancedHMC /home/shmuma/.julia/packages/AdvancedHMC/HQHnm/src/hamiltonian.jl:47\n",
+      "┌ Warning: The current proposal will be rejected due to numerical error(s).\n",
+      "│   isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)\n",
+      "└ @ AdvancedHMC /home/shmuma/.julia/packages/AdvancedHMC/HQHnm/src/hamiltonian.jl:47\n",
+      "\u001b[32mSampling: 100%|█████████████████████████████████████████| Time: 0:00:00\u001b[39m\n"
+     ]
+    }
+   ],
    "source": [
     "d = DataFrame(CSV.File(\"data/UCBadmit.csv\", skipto=2, \n",
     "        header=[:id, :dept, :gender, :admit, :reject, :applications]))\n",
@@ -247,87 +264,87 @@
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    "id": "6886279c",
    "metadata": {},
    "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "┌ Warning: The current proposal will be rejected due to numerical error(s).\n",
+      "│   isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)\n",
+      "└ @ AdvancedHMC /home/shmuma/.julia/packages/AdvancedHMC/HQHnm/src/hamiltonian.jl:47\n",
+      "┌ Warning: The current proposal will be rejected due to numerical error(s).\n",
+      "│   isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)\n",
+      "└ @ AdvancedHMC /home/shmuma/.julia/packages/AdvancedHMC/HQHnm/src/hamiltonian.jl:47\n",
+      "┌ Warning: The current proposal will be rejected due to numerical error(s).\n",
+      "│   isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)\n",
+      "└ @ AdvancedHMC /home/shmuma/.julia/packages/AdvancedHMC/HQHnm/src/hamiltonian.jl:47\n",
+      "┌ Warning: The current proposal will be rejected due to numerical error(s).\n",
+      "│   isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)\n",
+      "└ @ AdvancedHMC /home/shmuma/.julia/packages/AdvancedHMC/HQHnm/src/hamiltonian.jl:47\n",
+      "┌ Info: Found initial step size\n",
+      "│   ϵ = 0.0001953125\n",
+      "└ @ Turing.Inference /home/shmuma/.julia/packages/Turing/nfMhU/src/inference/hmc.jl:188\n",
+      "\u001b[32mSampling:  22%|█████████▏                               |  ETA: 0:00:01\u001b[39m┌ Warning: The current proposal will be rejected due to numerical error(s).\n",
+      "│   isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)\n",
+      "└ @ AdvancedHMC /home/shmuma/.julia/packages/AdvancedHMC/HQHnm/src/hamiltonian.jl:47\n",
+      "\u001b[32mSampling: 100%|█████████████████████████████████████████| Time: 0:00:01\u001b[39m\n"
+     ]
+    },
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    "id": "ab19bc32",
    "metadata": {},
    "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "┌ Info: Found initial step size\n",
+      "│   ϵ = 0.2\n",
+      "└ @ Turing.Inference /home/shmuma/.julia/packages/Turing/nfMhU/src/inference/hmc.jl:188\n",
+      "\u001b[32mSampling: 100%|█████████████████████████████████████████| Time: 0:00:00\u001b[39m\n"
+     ]
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    "id": "e909a148",
    "metadata": {},
    "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "┌ Info: Found initial step size\n",
+      "│   ϵ = 0.025\n",
+      "└ @ Turing.Inference /home/shmuma/.julia/packages/Turing/nfMhU/src/inference/hmc.jl:188\n",
+      "┌ Warning: The current proposal will be rejected due to numerical error(s).\n",
+      "│   isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)\n",
+      "└ @ AdvancedHMC /home/shmuma/.julia/packages/AdvancedHMC/HQHnm/src/hamiltonian.jl:47\n",
+      "\u001b[32mSampling: 100%|█████████████████████████████████████████| Time: 0:00:15\u001b[39m\n"
+     ]
+    },
     {
      "name": "stdout",
      "output_type": "stream",
@@ -2192,6 +2257,25 @@
    "id": "94826e81",
    "metadata": {},
    "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "┌ Warning: The current proposal will be rejected due to numerical error(s).\n",
+      "│   isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)\n",
+      "└ @ AdvancedHMC /home/shmuma/.julia/packages/AdvancedHMC/HQHnm/src/hamiltonian.jl:47\n",
+      "┌ Warning: The current proposal will be rejected due to numerical error(s).\n",
+      "│   isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)\n",
+      "└ @ AdvancedHMC /home/shmuma/.julia/packages/AdvancedHMC/HQHnm/src/hamiltonian.jl:47\n",
+      "┌ Info: Found initial step size\n",
+      "│   ϵ = 0.0125\n",
+      "└ @ Turing.Inference /home/shmuma/.julia/packages/Turing/nfMhU/src/inference/hmc.jl:188\n",
+      "┌ Warning: The current proposal will be rejected due to numerical error(s).\n",
+      "│   isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)\n",
+      "└ @ AdvancedHMC /home/shmuma/.julia/packages/AdvancedHMC/HQHnm/src/hamiltonian.jl:47\n",
+      "\u001b[32mSampling: 100%|█████████████████████████████████████████| Time: 0:00:29\u001b[39m\n"
+     ]
+    },
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      "name": "stdout",
      "output_type": "stream",
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       ]
      },
      "execution_count": 29,
@@ -3719,10 +3803,46396 @@
     "# 12.4 Ordered categorical predictors"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "id": "5913c097",
+   "metadata": {},
+   "source": [
+    "Code 12.30"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 30,
+   "id": "95b39fbe",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "8-element Vector{String31}:\n",
+       " \"Bachelor's Degree\"\n",
+       " \"Elementary School\"\n",
+       " \"Graduate Degree\"\n",
+       " \"High School Graduate\"\n",
+       " \"Master's Degree\"\n",
+       " \"Middle School\"\n",
+       " \"Some College\"\n",
+       " \"Some High School\""
+      ]
+     },
+     "execution_count": 30,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "d = DataFrame(CSV.File(\"data/Trolley.csv\"))\n",
+    "levels(d.edu)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "4a114c76",
+   "metadata": {},
+   "source": [
+    "Code 12.31"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 31,
+   "id": "3f4b306c",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "edu_l = Dict{String, Int}(\n",
+    "    \"Bachelor's Degree\" => 6,\n",
+    "    \"Elementary School\" => 1,\n",
+    "    \"Graduate Degree\" => 8,\n",
+    "    \"High School Graduate\" => 4,\n",
+    "    \"Master's Degree\" => 7,\n",
+    "    \"Middle School\" => 2,\n",
+    "    \"Some College\" => 5,\n",
+    "    \"Some High School\" => 3,\n",
+    ")\n",
+    "\n",
+    "d.edu_new = map(s -> edu_l[s], d.edu);"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "88920296",
+   "metadata": {},
+   "source": [
+    "Code 12.32"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 32,
+   "id": "826d96e6",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "7×10 Matrix{Float64}:\n",
+       " 0.198046   0.0815291  0.0676167  …  0.207756   0.123371   0.375937\n",
+       " 0.0870147  0.231992   0.21954       0.16657    0.25109    0.091998\n",
+       " 0.164311   0.0899774  0.195904      0.0776228  0.0819914  0.0634425\n",
+       " 0.204465   0.0635362  0.199463      0.0964028  0.150229   0.162127\n",
+       " 0.0541011  0.119333   0.0121268     0.0805194  0.201325   0.136166\n",
+       " 0.256943   0.310157   0.0639191  …  0.202942   0.145848   0.148425\n",
+       " 0.0351202  0.103475   0.24143       0.168186   0.0461463  0.0219053"
+      ]
+     },
+     "execution_count": 32,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "Random.seed!(1805)\n",
+    "delta = rand(Dirichlet(7, 2), 10)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "2334ca3e",
+   "metadata": {},
+   "source": [
+    "Code 12.33"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 33,
+   "id": "a8a8c7d8",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/svg+xml": [
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+      ]
+     },
+     "execution_count": 33,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "h = 3\n",
+    "p = plot(xlab=\"index\", ylab=\"probability\")\n",
+    "for (idx, col) ∈ enumerate(eachcol(delta))\n",
+    "    plot!(col, c=:black, alpha=0.7, lw=idx == h ? 3 : 1, m= idx == h ? :v : :o)\n",
+    "end\n",
+    "p"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "9b4164df",
+   "metadata": {},
+   "source": [
+    "Code 12.34\n",
+    "\n",
+    "Could take 20-30 minutes..."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 34,
+   "id": "7c8d4dd8",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "┌ Info: Found initial step size\n",
+      "│   ϵ = 0.0125\n",
+      "└ @ Turing.Inference /home/shmuma/.julia/packages/Turing/nfMhU/src/inference/hmc.jl:188\n",
+      "\u001b[32mSampling: 100%|█████████████████████████████████████████| Time: 0:31:46\u001b[39m\n"
+     ]
+    }
+   ],
+   "source": [
+    "@model function m12_6(R, action, intention, contact, E)\n",
+    "    delta ~ Dirichlet(7, 2)\n",
+    "    pushfirst!(delta, 0.0)\n",
+    "    \n",
+    "    bA ~ Normal()\n",
+    "    bI ~ Normal()\n",
+    "    bC ~ Normal()\n",
+    "    bE ~ Normal()\n",
+    "\n",
+    "    # sum all education's deltas\n",
+    "    sE = sum.(map(i -> delta[1:i], E))\n",
+    "    phi = @. bE*sE + bA*action + bI*intention + bC*contact\n",
+    "\n",
+    "    # use same cutpoints as before\n",
+    "    Δ_cutpoints ~ filldist(Exponential(), 6)\n",
+    "    cutpoints = -3 .+ cumsum(Δ_cutpoints)\n",
+    "    \n",
+    "    for i ∈ eachindex(R)\n",
+    "        R[i] ~ OrderedLogistic(phi[i], cutpoints)\n",
+    "    end\n",
+    "end\n",
+    "\n",
+    "model = m12_6(d.response, d.action, d.intention, d.contact, d.edu_new)\n",
+    "\n",
+    "m12_6_ch = sample(model, NUTS(), 1000);"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "bb75ed0a",
+   "metadata": {},
+   "source": [
+    "Code 12.35"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 35,
+   "id": "9846491b",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "┌────────────────┬────────────────────────────────────────────────────────────┐\n",
+      "│\u001b[1m          param \u001b[0m│\u001b[1m    mean \u001b[0m\u001b[1m    std \u001b[0m\u001b[1m    5.5% \u001b[0m\u001b[1m     50% \u001b[0m\u001b[1m   94.5% \u001b[0m\u001b[1m      histogram \u001b[0m│\n",
+      "├────────────────┼────────────────────────────────────────────────────────────┤\n",
+      "│             bA │ -0.6981  0.0396    -0.76  -0.6987  -0.6359  ▁▁▁▁▂▄▇██▆▅▂▁▁ │\n",
+      "│             bC │  -0.949  0.0495   -1.027  -0.9497  -0.8697         ▁▄██▄▁▁ │\n",
+      "│             bE │ -0.1749  0.0868  -0.2907  -0.1828  -0.0304    ▁▁▂▅██▆▃▂▁▁▁ │\n",
+      "│             bI │ -0.7108  0.0365  -0.7684  -0.7115  -0.6542  ▁▁▁▃▆▇█▇▆▂▁▁▁▁ │\n",
+      "│       delta[1] │  0.1534  0.0967    0.028   0.1366    0.322   ▇██▇▆▄▂▁▁▁▁▁▁ │\n",
+      "│       delta[2] │   0.146  0.0918   0.0298    0.128   0.3089    ▅██▅▄▃▂▁▁▁▁▁ │\n",
+      "│       delta[3] │   0.177  0.1062   0.0405   0.1557   0.3613   ▃▇█▆▆▄▃▁▁▁▁▁▁ │\n",
+      "│       delta[4] │  0.1883  0.1056   0.0506   0.1781   0.3912    ▃▇██▆▅▃▂▂▁▁▁ │\n",
+      "│       delta[5] │  0.0641    0.06     0.01   0.0454    0.173       █▄▂▁▁▁▁▁▁ │\n",
+      "│       delta[6] │  0.1226  0.0758   0.0298     0.11   0.2548      ▅██▅▃▂▁▁▁▁ │\n",
+      "│       delta[7] │  0.1485  0.0859   0.0308   0.1347   0.3152       ▅██▇▄▃▂▁▁ │\n",
+      "│ Δ_cutpoints[1] │  0.0589  0.0497   0.0032   0.0478   0.1532   █▅▅▄▃▂▂▁▁▁▁▁▁ │\n",
+      "│ Δ_cutpoints[2] │  0.6787  0.0217   0.6444    0.679   0.7136        ▁▁▅██▄▁▁ │\n",
+      "│ Δ_cutpoints[3] │  0.5816  0.0174   0.5545   0.5815    0.609   ▁▁▁▃▅██▆▄▂▁▁▁ │\n",
+      "│ Δ_cutpoints[4] │  1.0187  0.0193   0.9892   1.0177   1.0504  ▁▁▁▂▄▇█▇▅▃▂▁▁▁ │\n",
+      "│ Δ_cutpoints[5] │   0.667  0.0172   0.6385   0.6668   0.6941     ▁▁▂▃▆█▇▄▂▁▁ │\n",
+      "│ Δ_cutpoints[6] │  0.9066  0.0233   0.8701   0.9065   0.9425       ▁▁▃▇█▅▂▁▁ │\n",
+      "└────────────────┴────────────────────────────────────────────────────────────┘\n"
+     ]
+    }
+   ],
+   "source": [
+    "m12_6_df = DataFrame(m12_6_ch)\n",
+    "precis(m12_6_df)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "8e776736",
+   "metadata": {},
+   "source": [
+    "Code 12.36"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 36,
+   "id": "11004158",
+   "metadata": {},
+   "outputs": [
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+     "execution_count": 36,
+     "metadata": {},
+     "output_type": "execute_result"
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+   ],
+   "source": [
+    "delta_labels = [\"Elem\",\"MidSch\",\"SHS\",\"HSG\",\"SCol\",\"Bach\",\"Mast\",\"Grad\"]\n",
+    "df = m12_6_df[!,r\"delta.*\"]\n",
+    "\n",
+    "corrplot(Matrix(df); seriestype=:scatter, bins=30, grid=false, ms=0.1, ma=0.8, \n",
+    "    size=(1000,800), label=delta_labels)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "73e97dd9",
+   "metadata": {},
+   "source": [
+    "Code 12.37"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 37,
+   "id": "0994f6ab",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "┌ Info: Found initial step size\n",
+      "│   ϵ = 0.0125\n",
+      "└ @ Turing.Inference /home/shmuma/.julia/packages/Turing/nfMhU/src/inference/hmc.jl:188\n",
+      "\u001b[32mSampling: 100%|█████████████████████████████████████████| Time: 0:00:41\u001b[39m\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "┌────────────────┬────────────────────────────────────────────────────────────┐\n",
+      "│\u001b[1m          param \u001b[0m│\u001b[1m    mean \u001b[0m\u001b[1m    std \u001b[0m\u001b[1m    5.5% \u001b[0m\u001b[1m     50% \u001b[0m\u001b[1m   94.5% \u001b[0m\u001b[1m      histogram \u001b[0m│\n",
+      "├────────────────┼────────────────────────────────────────────────────────────┤\n",
+      "│             bA │ -0.6949  0.0458  -0.7636  -0.6963  -0.6167  ▁▁▁▂▆▆██▆▆▃▃▁▁ │\n",
+      "│             bC │ -0.9406  0.0565  -1.0292  -0.9431  -0.8547         ▁▁▄█▇▇▁ │\n",
+      "│             bE │ -0.0743    0.09  -0.2136  -0.0762   0.0596      ▁▁▃▆█▇▆█▃▁ │\n",
+      "│             bI │ -0.7156  0.0344  -0.7714  -0.7152  -0.6651    ▁▁▁▃▅▇█▇▄▂▁▁ │\n",
+      "│ Δ_cutpoints[1] │  0.1353  0.0941   0.0167    0.112   0.3148         ▆█▇▄▂▃▃ │\n",
+      "│ Δ_cutpoints[2] │   0.679   0.021   0.6488   0.6777   0.7136   ▁▁▂▆▇██▆▄▂▁▁▁ │\n",
+      "│ Δ_cutpoints[3] │  0.5787  0.0178    0.552   0.5766   0.6106     ▁▂▃▇█▆▅▃▂▁▁ │\n",
+      "│ Δ_cutpoints[4] │  1.0133  0.0236   0.9753   1.0147   1.0479   ▁▆▅▅███▇▆▂▁▁▁ │\n",
+      "│ Δ_cutpoints[5] │  0.6685  0.0158   0.6419   0.6677   0.6941     ▁▁▁▂▅█▇▄▂▁▁ │\n",
+      "│ Δ_cutpoints[6] │  0.9066  0.0205   0.8748   0.9073    0.939        ▁▂▅█▄▁▁▁ │\n",
+      "└────────────────┴────────────────────────────────────────────────────────────┘\n"
+     ]
+    }
+   ],
+   "source": [
+    "d.edu_norm = standardize(UnitRangeTransform, Float64.(d.edu_new))\n",
+    "\n",
+    "@model function m12_7(R, action, intention, contact, edu_norm)\n",
+    "    bA ~ Normal()\n",
+    "    bI ~ Normal()\n",
+    "    bC ~ Normal()\n",
+    "    bE ~ Normal()\n",
+    "\n",
+    "    phi = @. bE*edu_norm + bA*action + bI*intention + bC*contact\n",
+    "\n",
+    "    # use same cutpoints as before\n",
+    "    Δ_cutpoints ~ filldist(Exponential(), 6)\n",
+    "    cutpoints = -3 .+ cumsum(Δ_cutpoints)\n",
+    "    \n",
+    "    for i ∈ eachindex(R)\n",
+    "        R[i] ~ OrderedLogistic(phi[i], cutpoints)\n",
+    "    end\n",
+    "end\n",
+    "\n",
+    "model = m12_7(d.response, d.action, d.intention, d.contact, d.edu_norm)\n",
+    "\n",
+    "m12_7_ch = sample(model, NUTS(), 1000)\n",
+    "m12_7_df = DataFrame(m12_7_ch)\n",
+    "precis(m12_7_df)"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "74a4fdc3",
+   "id": "d4ecb52b",
    "metadata": {},
    "outputs": [],
    "source": []
diff --git a/docs/12-Chapter 12. Monsters and Mixtures.html b/docs/12-Chapter 12. Monsters and Mixtures.html
index a2cec4f..bd6eee1 100644
--- a/docs/12-Chapter 12. Monsters and Mixtures.html	
+++ b/docs/12-Chapter 12. Monsters and Mixtures.html	
@@ -13098,8 +13098,8 @@
 <span class="k">using</span> <span class="n">FreqTables</span>
 <span class="k">using</span> <span class="n">Logging</span>
 
-<span class="n">default</span><span class="p">(</span><span class="n">label</span><span class="o">=</span><span class="nb">false</span><span class="p">)</span>
-<span class="n">Logging</span><span class="o">.</span><span class="n">disable_logging</span><span class="p">(</span><span class="n">Logging</span><span class="o">.</span><span class="n">Warn</span><span class="p">);</span>
+<span class="n">default</span><span class="p">(</span><span class="n">label</span><span class="o">=</span><span class="nb">false</span><span class="p">);</span>
+<span class="c">#Logging.disable_logging(Logging.Warn);</span>
 </pre></div>
 
     </div>
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@@ -13286,6 +13286,33 @@ <h1 id="12.1-Over-dispersed-counts">12.1 Over-dispersed counts<a class="anchor-l
 </div>
 </div>
 
+<div class="output_wrapper">
+<div class="output">
+
+
+<div class="output_area">
+
+    <div class="prompt"></div>
+
+
+<div class="output_subarea output_stream output_stderr output_text">
+<pre>┌ Info: Found initial step size
+│   ϵ = 0.8
+└ @ Turing.Inference /home/shmuma/.julia/packages/Turing/nfMhU/src/inference/hmc.jl:188
+┌ Warning: The current proposal will be rejected due to numerical error(s).
+│   isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)
+└ @ AdvancedHMC /home/shmuma/.julia/packages/AdvancedHMC/HQHnm/src/hamiltonian.jl:47
+┌ Warning: The current proposal will be rejected due to numerical error(s).
+│   isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)
+└ @ AdvancedHMC /home/shmuma/.julia/packages/AdvancedHMC/HQHnm/src/hamiltonian.jl:47
+<span class="ansi-green-fg">Sampling: 100%|█████████████████████████████████████████| Time: 0:00:00</span>
+</pre>
+</div>
+</div>
+
+</div>
+</div>
+
 </div>
 <div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
 </div><div class="inner_cell">
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   749.737,880.666 844.173,935.424 945.419,985.093 1062.72,1034.63 1166.97,1073.55 1258.38,1104.78 1358.05,1136.49 1458.3,1166.51 1569.15,1198.09 1674.62,1227.07 
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   1989.3,1150.08 2042.27,1194.53 2095.24,1240.96 2180.11,1318.92 2264.98,1399.47 2278.04,1411.66 2291.1,1423.18 
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   441.47,1169.53 497.236,1151.14 553.002,1135.1 600.152,1122.84 647.301,1111.48 749.737,1089.07 844.173,1070.35 945.419,1051.65 1062.72,1031.12 1166.97,1013.49 
   1258.38,998.213 1358.05,981.511 1458.3,964.38 1569.15,944.649 1674.62,924.576 1784.28,901.528 1876.6,879.388 1932.95,863.993 1989.3,846.497 2042.27,827.276 
@@ -13510,27 +13537,27 @@ <h1 id="12.1-Over-dispersed-counts">12.1 Over-dispersed counts<a class="anchor-l
   2287.83,351.218 2288.24,332.767 2288.65,311.081 2289.06,284.886 2289.46,251.999 2289.67,231.873 2289.87,208.214 2290.08,179.63 2290.28,143.737 2290.49,95.9405 
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   749.737,733.075 796.955,736.042 844.173,741.904 894.796,751.048 945.419,762.835 1004.07,779.433 1062.72,798.837 1166.97,839.28 1258.38,880.01 1358.05,928.952 
   1458.3,981.973 1569.15,1043.88 1674.62,1104.9 1784.28,1169.35 1876.6,1223.41 1989.3,1287.7 2095.24,1344.41 2264.98,1417.35 2291.1,1423.18 
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   395.072,742.462 418.271,722.993 441.47,707.232 469.353,692.344 497.236,681.157 525.119,673.092 553.002,667.706 600.152,663.75 647.301,665.196 698.519,671.796 
@@ -13538,13 +13565,13 @@ <h1 id="12.1-Over-dispersed-counts">12.1 Over-dispersed counts<a class="anchor-l
   1674.62,1171.96 1784.28,1233.75 1876.6,1282.27 1932.95,1309.87 1989.3,1335.62 2042.27,1357.86 2095.24,1377.9 2180.11,1404.35 2264.98,1421.21 2278.04,1422.52 
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   2291.1,1423.18 
   "/>
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   279.078,1173.28 290.677,1155.37 302.277,1140.08 325.476,1114.75 348.675,1094.06 371.873,1076.53 395.072,1061.29 418.271,1047.83 441.47,1035.79 469.353,1022.84 
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@@ -13552,21 +13579,21 @@ <h1 id="12.1-Over-dispersed-counts">12.1 Over-dispersed counts<a class="anchor-l
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   279.078,963.815 290.677,953.403 302.277,945.051 325.476,932.256 348.675,922.783 395.072,909.632 441.47,901.127 497.236,894.635 553.002,890.874 600.152,889.241 
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   279.078,1174.29 290.677,1144.69 302.277,1118.62 325.476,1074.02 348.675,1036.58 371.873,1004.34 395.072,976.136 418.271,951.206 441.47,929.019 469.353,905.437 
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   1876.6,1161.5 1989.3,1233.57 2095.24,1302.87 2264.98,1410.01 2291.1,1423.18 
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@@ -13628,7 +13655,7 @@ <h1 id="12.1-Over-dispersed-counts">12.1 Over-dispersed counts<a class="anchor-l
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   279.078,1157.96 290.677,1115.65 302.277,1077.43 313.876,1042.52 325.476,1010.37 337.075,980.611 348.675,952.947 371.873,903.058 395.072,859.382 418.271,821.004 
   441.47,787.249 469.353,752.07 497.236,722.114 525.119,696.819 553.002,675.724 576.577,660.879 600.152,648.558 623.727,638.582 647.301,630.792 698.519,620.72 
@@ -13636,7 +13663,7 @@ <h1 id="12.1-Over-dispersed-counts">12.1 Over-dispersed counts<a class="anchor-l
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   279.078,1157.96 290.677,1115.65 302.277,1077.43 313.876,1042.52 325.476,1010.37 337.075,980.611 348.675,952.947 371.873,903.058 395.072,859.382 418.271,821.004 
   441.47,787.249 469.353,752.07 497.236,722.114 525.119,696.819 553.002,675.724 576.577,660.879 600.152,648.558 623.727,638.582 647.301,630.792 698.519,620.72 
@@ -13644,7 +13671,7 @@ <h1 id="12.1-Over-dispersed-counts">12.1 Over-dispersed counts<a class="anchor-l
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@@ -13652,35 +13679,35 @@ <h1 id="12.1-Over-dispersed-counts">12.1 Over-dispersed counts<a class="anchor-l
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   749.737,784.7 796.955,767.048 844.173,753.683 894.796,743.846 945.419,738.396 1004.07,737.243 1062.72,741.291 1114.84,748.982 1166.97,760.292 1212.67,773.017 
   1258.38,788.216 1358.05,829.256 1458.3,880.265 1569.15,946.211 1674.62,1016.38 1784.28,1094.83 1876.6,1163.33 1989.3,1247.13 2095.24,1322.23 2264.98,1416.67 
   2291.1,1423.18 
   "/>
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   348.675,1199.28 371.873,1173.87 395.072,1150.6 418.271,1129.11 441.47,1109.13 497.236,1066.2 553.002,1029.13 600.152,1001.55 647.301,976.93 698.519,953.18 
   749.737,932.244 796.955,915.232 844.173,900.266 894.796,886.363 945.419,874.565 1004.07,863.409 1062.72,854.847 1166.97,845.785 1258.38,844.135 1358.05,848.939 
@@ -13688,27 +13715,27 @@ <h1 id="12.1-Over-dispersed-counts">12.1 Over-dispersed counts<a class="anchor-l
   1989.3,1058.96 2042.27,1095.78 2095.24,1137.73 2137.68,1176.04 2180.11,1220.01 2201.33,1244.89 2222.54,1272.45 2243.76,1303.79 2264.98,1341.4 2271.51,1355.16 
   2278.04,1370.75 2284.57,1389.64 2291.1,1423.18 
   "/>
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   267.479,994.353 273.278,974.068 279.078,956.197 290.677,925.79 302.277,900.56 313.876,879.087 325.476,860.494 337.075,844.196 348.675,829.782 371.873,805.465 
   395.072,785.872 418.271,769.95 441.47,756.988 469.353,744.621 497.236,735.165 525.119,728.154 553.002,723.234 600.152,718.927 647.301,718.83 698.519,722.661 
   749.737,729.925 796.955,739.213 844.173,750.652 945.419,781.254 1062.72,825.002 1166.97,869.629 1258.38,912.218 1358.05,961.509 1458.3,1013.36 1569.15,1072.51 
   1674.62,1129.75 1784.28,1189.39 1876.6,1238.99 1989.3,1297.69 2095.24,1349.49 2264.98,1417.34 2291.1,1423.18 
   "/>
-<polyline clip-path="url(#clip562)" style="stroke:#000000; stroke-linecap:butt; stroke-linejoin:round; stroke-width:4; stroke-opacity:0.2; fill:none" points="
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   267.479,994.353 273.278,974.068 279.078,956.197 290.677,925.79 302.277,900.56 313.876,879.087 325.476,860.494 337.075,844.196 348.675,829.782 371.873,805.465 
   395.072,785.872 418.271,769.95 441.47,756.988 469.353,744.621 497.236,735.165 525.119,728.154 553.002,723.234 600.152,718.927 647.301,718.83 698.519,722.661 
   749.737,729.925 796.955,739.213 844.173,750.652 945.419,781.254 1062.72,825.002 1166.97,869.629 1258.38,912.218 1358.05,961.509 1458.3,1013.36 1569.15,1072.51 
   1674.62,1129.75 1784.28,1189.39 1876.6,1238.99 1989.3,1297.69 2095.24,1349.49 2264.98,1417.34 2291.1,1423.18 
   "/>
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+<polyline clip-path="url(#clip732)" style="stroke:#000000; stroke-linecap:butt; stroke-linejoin:round; stroke-width:4; stroke-opacity:0.2; fill:none" points="
   235.808,1423.18 255.879,968.66 441.47,948.001 553.002,947.213 647.301,948.046 749.737,949.936 844.173,952.377 945.419,955.63 1062.72,960.161 1166.97,964.873 
   1258.38,969.562 1358.05,975.325 1458.3,981.901 1569.15,990.253 1674.62,999.516 1784.28,1010.95 1876.6,1022.54 1932.95,1030.84 1989.3,1040.41 2042.27,1050.99 
   2095.24,1063.78 2137.68,1076.43 2180.11,1092.59 2201.33,1102.8 2222.54,1115.34 2233.15,1122.92 2243.76,1131.8 2254.37,1142.58 2264.98,1156.45 2268.24,1161.7 
   2271.51,1167.63 2274.77,1174.47 2278.04,1182.6 2281.3,1192.69 2284.57,1206.21 2287.83,1227.5 2291.1,1423.18 
   "/>
-<polyline clip-path="url(#clip562)" style="stroke:#000000; stroke-linecap:butt; stroke-linejoin:round; stroke-width:4; stroke-opacity:0.2; fill:none" points="
+<polyline clip-path="url(#clip732)" style="stroke:#000000; stroke-linecap:butt; stroke-linejoin:round; stroke-width:4; stroke-opacity:0.2; fill:none" points="
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   279.078,1161.11 290.677,1141.88 302.277,1125.47 325.476,1098.3 348.675,1076.16 371.873,1057.45 395.072,1041.25 418.271,1026.99 441.47,1014.29 469.353,1000.7 
   497.236,988.64 525.119,977.855 553.002,968.165 600.152,953.886 647.301,941.838 749.737,921.782 844.173,909.213 945.419,900.83 1062.72,896.729 1166.97,897.604 
@@ -13717,34 +13744,34 @@ <h1 id="12.1-Over-dispersed-counts">12.1 Over-dispersed counts<a class="anchor-l
   2243.76,1253.62 2254.37,1270.98 2264.98,1291.61 2268.24,1298.92 2271.51,1306.87 2274.77,1315.63 2278.04,1325.47 2281.3,1336.84 2284.57,1350.68 2287.83,1369.42 
   2291.1,1423.18 
   "/>
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   279.078,1122.35 290.677,1088.34 302.277,1058.65 313.876,1032.26 325.476,1008.48 337.075,986.857 348.675,967.056 371.873,931.97 395.072,901.794 418.271,875.596 
   441.47,852.723 469.353,828.964 497.236,808.701 525.119,791.468 553.002,776.901 600.152,757.547 647.301,743.921 698.519,734.672 749.737,730.434 796.955,730.421 
   844.173,733.732 894.796,740.59 945.419,750.525 1004.07,765.483 1062.72,783.748 1166.97,823.264 1258.38,864.188 1358.05,914.221 1458.3,969.074 1569.15,1033.63 
   1674.62,1097.52 1784.28,1165.04 1876.6,1221.53 1989.3,1288.26 2095.24,1346.34 2264.98,1418.08 2291.1,1423.18 
   "/>
-<polyline clip-path="url(#clip562)" style="stroke:#000000; stroke-linecap:butt; stroke-linejoin:round; stroke-width:4; stroke-opacity:0.2; fill:none" points="
+<polyline clip-path="url(#clip732)" style="stroke:#000000; stroke-linecap:butt; stroke-linejoin:round; stroke-width:4; stroke-opacity:0.2; fill:none" points="
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   497.236,784.981 553.002,800.103 600.152,812.347 647.301,824.254 749.737,849.4 844.173,872.131 945.419,896.379 1062.72,924.656 1166.97,950.202 1258.38,973.098 
   1358.05,998.761 1458.3,1025.52 1569.15,1056.49 1674.62,1087.71 1784.28,1122.54 1876.6,1154.38 1932.95,1175.3 1989.3,1197.71 2042.27,1220.49 2095.24,1245.53 
   2137.68,1267.85 2180.11,1293.15 2222.54,1323.33 2264.98,1364.3 2271.51,1372.88 2278.04,1382.88 2284.57,1395.59 2291.1,1423.18 
   "/>
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   441.47,1155.76 497.236,1064.57 553.002,976.572 600.152,906.723 647.301,842.366 698.519,779.744 749.737,725.529 796.955,683.487 844.173,649.336 894.796,621.618 
   945.419,603.085 974.745,596.493 1004.07,592.879 1033.4,592.18 1062.72,594.317 1114.84,604.84 1166.97,623.47 1212.67,645.958 1258.38,673.679 1308.21,709.237 
   1358.05,749.645 1408.17,794.405 1458.3,842.472 1569.15,956.306 1674.62,1067.4 1784.28,1177.25 1876.6,1259.3 1932.95,1302.72 1989.3,1340.07 2042.27,1369.08 
   2095.24,1391.81 2137.68,1405.37 2180.11,1414.88 2222.54,1420.56 2264.98,1422.93 2271.51,1423.06 2278.04,1423.13 2284.57,1423.17 2291.1,1423.18 
   "/>
-<polyline clip-path="url(#clip562)" style="stroke:#000000; stroke-linecap:butt; stroke-linejoin:round; stroke-width:4; stroke-opacity:0.2; fill:none" points="
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   441.47,1155.76 497.236,1064.57 553.002,976.572 600.152,906.723 647.301,842.366 698.519,779.744 749.737,725.529 796.955,683.487 844.173,649.336 894.796,621.618 
   945.419,603.085 974.745,596.493 1004.07,592.879 1033.4,592.18 1062.72,594.317 1114.84,604.84 1166.97,623.47 1212.67,645.958 1258.38,673.679 1308.21,709.237 
   1358.05,749.645 1408.17,794.405 1458.3,842.472 1569.15,956.306 1674.62,1067.4 1784.28,1177.25 1876.6,1259.3 1932.95,1302.72 1989.3,1340.07 2042.27,1369.08 
   2095.24,1391.81 2137.68,1405.37 2180.11,1414.88 2222.54,1420.56 2264.98,1422.93 2271.51,1423.06 2278.04,1423.13 2284.57,1423.17 2291.1,1423.18 
   "/>
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   279.078,1130.16 290.677,1118.13 302.277,1108.09 325.476,1091.85 348.675,1078.91 395.072,1058.86 441.47,1043.51 497.236,1028.84 553.002,1016.93 600.152,1008.39 
   647.301,1000.94 749.737,987.606 844.173,977.922 945.419,969.651 1062.72,962.264 1166.97,957.382 1258.38,954.274 1358.05,952.077 1458.3,951.118 1569.15,951.598 
@@ -13752,13 +13779,13 @@ <h1 id="12.1-Over-dispersed-counts">12.1 Over-dispersed counts<a class="anchor-l
   2222.54,1034.93 2233.15,1041.81 2243.76,1049.99 2254.37,1060.1 2264.98,1073.36 2268.24,1078.44 2271.51,1084.24 2274.77,1090.98 2278.04,1099.08 2281.3,1109.25 
   2284.57,1123.07 2287.83,1145.37 2291.1,1423.18 
   "/>
-<polyline clip-path="url(#clip562)" style="stroke:#000000; stroke-linecap:butt; stroke-linejoin:round; stroke-width:4; stroke-opacity:0.2; fill:none" points="
+<polyline clip-path="url(#clip732)" style="stroke:#000000; stroke-linecap:butt; stroke-linejoin:round; stroke-width:4; stroke-opacity:0.2; fill:none" points="
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   279.078,1235.87 290.677,1223.09 302.277,1212.13 325.476,1193.81 348.675,1178.65 395.072,1154.05 441.47,1134.18 497.236,1114.18 553.002,1097.03 600.152,1084.14 
   647.301,1072.39 749.737,1049.82 844.173,1031.66 945.419,1014.27 1062.72,996.132 1166.97,981.424 1258.38,969.399 1358.05,957.052 1458.3,945.297 1569.15,932.934 
   1674.62,921.663 1784.28,910.318 1876.6,900.947 1989.3,889.52 2095.24,878.386 2264.98,853.554 
   "/>
-<polyline clip-path="url(#clip562)" style="stroke:#000000; stroke-linecap:butt; stroke-linejoin:round; stroke-width:4; stroke-opacity:0.2; fill:none" points="
+<polyline clip-path="url(#clip732)" style="stroke:#000000; stroke-linecap:butt; stroke-linejoin:round; stroke-width:4; stroke-opacity:0.2; fill:none" points="
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   279.078,1239.18 290.677,1224.26 302.277,1211.36 325.476,1189.61 348.675,1171.47 371.873,1155.78 395.072,1141.89 418.271,1129.37 441.47,1117.95 497.236,1093.94 
   553.002,1073.52 600.152,1058.33 647.301,1044.64 749.737,1018.92 844.173,999.002 945.419,980.776 1062.72,962.974 1166.97,949.71 1258.38,939.866 1358.05,930.935 
@@ -13766,27 +13793,27 @@ <h1 id="12.1-Over-dispersed-counts">12.1 Over-dispersed counts<a class="anchor-l
   2180.11,968.882 2201.33,979.009 2222.54,991.992 2233.15,1000.09 2243.76,1009.77 2254.37,1021.79 2264.98,1037.63 2268.24,1043.72 2271.51,1050.66 2274.77,1058.74 
   2278.04,1068.44 2281.3,1080.61 2284.57,1097.13 2287.83,1123.66 2291.1,1423.18 
   "/>
-<polyline clip-path="url(#clip562)" style="stroke:#000000; stroke-linecap:butt; stroke-linejoin:round; stroke-width:4; stroke-opacity:0.2; fill:none" points="
+<polyline clip-path="url(#clip732)" style="stroke:#000000; stroke-linecap:butt; stroke-linejoin:round; stroke-width:4; stroke-opacity:0.2; fill:none" points="
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   279.078,882.657 290.677,875.125 302.277,869.295 325.476,860.844 348.675,855.101 395.072,848.308 441.47,845.259 497.236,844.594 553.002,846.125 600.152,848.671 
   647.301,852.119 749.737,862.064 844.173,873.608 945.419,888.066 1062.72,907.19 1166.97,926.189 1258.38,944.38 1358.05,965.892 1458.3,989.414 1569.15,1017.86 
   1674.62,1047.67 1784.28,1082.13 1876.6,1114.59 1932.95,1136.4 1989.3,1160.12 2042.27,1184.64 2095.24,1212.03 2137.68,1236.81 2180.11,1265.34 2201.33,1281.65 
   2222.54,1300 2243.76,1321.42 2264.98,1348.34 2271.51,1358.68 2278.04,1370.89 2284.57,1386.65 2291.1,1423.18 
   "/>
-<polyline clip-path="url(#clip562)" style="stroke:#000000; stroke-linecap:butt; stroke-linejoin:round; stroke-width:4; stroke-opacity:0.2; fill:none" points="
+<polyline clip-path="url(#clip732)" style="stroke:#000000; stroke-linecap:butt; stroke-linejoin:round; stroke-width:4; stroke-opacity:0.2; fill:none" points="
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   945.419,888.935 1004.07,865.283 1062.72,844.855 1114.84,829.446 1166.97,816.66 1212.67,807.64 1258.38,800.7 1308.21,795.545 1358.05,792.953 1408.17,792.987 
   1458.3,795.73 1513.73,802.002 1569.15,811.776 1621.89,824.439 1674.62,840.505 1729.45,860.971 1784.28,885.458 1830.44,909.356 1876.6,936.433 1932.95,974.103 
   1989.3,1017.3 2015.79,1039.7 2042.27,1063.54 2068.76,1088.96 2095.24,1116.08 2137.68,1163.53 2180.11,1216.94 2201.33,1246.45 2222.54,1278.39 2243.76,1313.5 
   2264.98,1353.41 2271.51,1367.23 2278.04,1382.24 2284.57,1399.23 2291.1,1423.18 
   "/>
-<polyline clip-path="url(#clip562)" style="stroke:#000000; stroke-linecap:butt; stroke-linejoin:round; stroke-width:4; stroke-opacity:0.2; fill:none" points="
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   279.078,725.527 290.677,715.339 302.277,707.843 325.476,697.956 348.675,692.402 395.072,688.842 441.47,691.317 497.236,699.11 553.002,710.387 600.152,721.863 
   647.301,734.704 749.737,766.141 844.173,798.311 945.419,835.291 1062.72,880.591 1166.97,922.581 1258.38,960.49 1358.05,1002.79 1458.3,1046.19 1569.15,1095.02 
   1674.62,1142.16 1784.28,1191.75 1876.6,1233.85 1989.3,1285.56 2095.24,1334.32 2264.98,1411.79 2291.1,1423.18 
   "/>
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@@ -14211,6 +14238,35 @@ <h1 id="12.1-Over-dispersed-counts">12.1 Over-dispersed counts<a class="anchor-l
 <div class="output">
 
 
+<div class="output_area">
+
+    <div class="prompt"></div>
+
+
+<div class="output_subarea output_stream output_stderr output_text">
+<pre>┌ Warning: The current proposal will be rejected due to numerical error(s).
+│   isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)
+└ @ AdvancedHMC /home/shmuma/.julia/packages/AdvancedHMC/HQHnm/src/hamiltonian.jl:47
+┌ Warning: The current proposal will be rejected due to numerical error(s).
+│   isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)
+└ @ AdvancedHMC /home/shmuma/.julia/packages/AdvancedHMC/HQHnm/src/hamiltonian.jl:47
+┌ Warning: The current proposal will be rejected due to numerical error(s).
+│   isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)
+└ @ AdvancedHMC /home/shmuma/.julia/packages/AdvancedHMC/HQHnm/src/hamiltonian.jl:47
+┌ Warning: The current proposal will be rejected due to numerical error(s).
+│   isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)
+└ @ AdvancedHMC /home/shmuma/.julia/packages/AdvancedHMC/HQHnm/src/hamiltonian.jl:47
+┌ Info: Found initial step size
+│   ϵ = 0.0001953125
+└ @ Turing.Inference /home/shmuma/.julia/packages/Turing/nfMhU/src/inference/hmc.jl:188
+<span class="ansi-green-fg">Sampling:  22%|█████████▏                               |  ETA: 0:00:01</span>┌ Warning: The current proposal will be rejected due to numerical error(s).
+│   isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)
+└ @ AdvancedHMC /home/shmuma/.julia/packages/AdvancedHMC/HQHnm/src/hamiltonian.jl:47
+<span class="ansi-green-fg">Sampling: 100%|█████████████████████████████████████████| Time: 0:00:01</span>
+</pre>
+</div>
+</div>
+
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+└ @ Turing.Inference /home/shmuma/.julia/packages/Turing/nfMhU/src/inference/hmc.jl:188
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@@ -15200,6 +15270,23 @@ <h1 id="12.3-Ordered-categorical-outcomes">12.3 Ordered categorical outcomes<a c
 <div class="output">
 
 
+<div class="output_area">
+
+    <div class="prompt"></div>
+
+
+<div class="output_subarea output_stream output_stderr output_text">
+<pre>┌ Info: Found initial step size
+│   ϵ = 0.025
+└ @ Turing.Inference /home/shmuma/.julia/packages/Turing/nfMhU/src/inference/hmc.jl:188
+┌ Warning: The current proposal will be rejected due to numerical error(s).
+│   isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)
+└ @ AdvancedHMC /home/shmuma/.julia/packages/AdvancedHMC/HQHnm/src/hamiltonian.jl:47
+<span class="ansi-green-fg">Sampling: 100%|█████████████████████████████████████████| Time: 0:00:15</span>
+</pre>
+</div>
+</div>
+
 <div class="output_area">
 
     <div class="prompt"></div>
@@ -15516,6 +15603,29 @@ <h1 id="12.3-Ordered-categorical-outcomes">12.3 Ordered categorical outcomes<a c
 <div class="output">
 
 
+<div class="output_area">
+
+    <div class="prompt"></div>
+
+
+<div class="output_subarea output_stream output_stderr output_text">
+<pre>┌ Warning: The current proposal will be rejected due to numerical error(s).
+│   isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)
+└ @ AdvancedHMC /home/shmuma/.julia/packages/AdvancedHMC/HQHnm/src/hamiltonian.jl:47
+┌ Warning: The current proposal will be rejected due to numerical error(s).
+│   isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)
+└ @ AdvancedHMC /home/shmuma/.julia/packages/AdvancedHMC/HQHnm/src/hamiltonian.jl:47
+┌ Info: Found initial step size
+│   ϵ = 0.0125
+└ @ Turing.Inference /home/shmuma/.julia/packages/Turing/nfMhU/src/inference/hmc.jl:188
+┌ Warning: The current proposal will be rejected due to numerical error(s).
+│   isfinite.((θ, r, ℓπ, ℓκ)) = (true, false, false, false)
+└ @ AdvancedHMC /home/shmuma/.julia/packages/AdvancedHMC/HQHnm/src/hamiltonian.jl:47
+<span class="ansi-green-fg">Sampling: 100%|█████████████████████████████████████████| Time: 0:00:29</span>
+</pre>
+</div>
+</div>
+
 <div class="output_area">
 
     <div class="prompt"></div>
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@@ -17063,6 +17173,46485 @@ <h1 id="12.3-Ordered-categorical-outcomes">12.3 Ordered categorical outcomes<a c
 <h1 id="12.4-Ordered-categorical-predictors">12.4 Ordered categorical predictors<a class="anchor-link" href="#12.4-Ordered-categorical-predictors">&#182;</a></h1>
 </div>
 </div>
+</div>
+<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
+</div><div class="inner_cell">
+<div class="text_cell_render border-box-sizing rendered_html">
+<p>Code 12.30</p>
+
+</div>
+</div>
+</div>
+<div class="cell border-box-sizing code_cell rendered">
+<div class="input">
+<div class="prompt input_prompt">In&nbsp;[30]:</div>
+<div class="inner_cell">
+    <div class="input_area">
+<div class=" highlight hl-julia"><pre><span></span><span class="n">d</span> <span class="o">=</span> <span class="n">DataFrame</span><span class="p">(</span><span class="n">CSV</span><span class="o">.</span><span class="n">File</span><span class="p">(</span><span class="s">&quot;data/Trolley.csv&quot;</span><span class="p">))</span>
+<span class="n">levels</span><span class="p">(</span><span class="n">d</span><span class="o">.</span><span class="n">edu</span><span class="p">)</span>
+</pre></div>
+
+    </div>
+</div>
+</div>
+
+<div class="output_wrapper">
+<div class="output">
+
+
+<div class="output_area">
+
+    <div class="prompt output_prompt">Out[30]:</div>
+
+
+
+
+<div class="output_text output_subarea output_execute_result">
+<pre>8-element Vector{String31}:
+ &#34;Bachelor&#39;s Degree&#34;
+ &#34;Elementary School&#34;
+ &#34;Graduate Degree&#34;
+ &#34;High School Graduate&#34;
+ &#34;Master&#39;s Degree&#34;
+ &#34;Middle School&#34;
+ &#34;Some College&#34;
+ &#34;Some High School&#34;</pre>
+</div>
+
+</div>
+
+</div>
+</div>
+
+</div>
+<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
+</div><div class="inner_cell">
+<div class="text_cell_render border-box-sizing rendered_html">
+<p>Code 12.31</p>
+
+</div>
+</div>
+</div>
+<div class="cell border-box-sizing code_cell rendered">
+<div class="input">
+<div class="prompt input_prompt">In&nbsp;[31]:</div>
+<div class="inner_cell">
+    <div class="input_area">
+<div class=" highlight hl-julia"><pre><span></span><span class="n">edu_l</span> <span class="o">=</span> <span class="kt">Dict</span><span class="p">{</span><span class="kt">String</span><span class="p">,</span> <span class="kt">Int</span><span class="p">}(</span>
+    <span class="s">&quot;Bachelor&#39;s Degree&quot;</span> <span class="o">=&gt;</span> <span class="mi">6</span><span class="p">,</span>
+    <span class="s">&quot;Elementary School&quot;</span> <span class="o">=&gt;</span> <span class="mi">1</span><span class="p">,</span>
+    <span class="s">&quot;Graduate Degree&quot;</span> <span class="o">=&gt;</span> <span class="mi">8</span><span class="p">,</span>
+    <span class="s">&quot;High School Graduate&quot;</span> <span class="o">=&gt;</span> <span class="mi">4</span><span class="p">,</span>
+    <span class="s">&quot;Master&#39;s Degree&quot;</span> <span class="o">=&gt;</span> <span class="mi">7</span><span class="p">,</span>
+    <span class="s">&quot;Middle School&quot;</span> <span class="o">=&gt;</span> <span class="mi">2</span><span class="p">,</span>
+    <span class="s">&quot;Some College&quot;</span> <span class="o">=&gt;</span> <span class="mi">5</span><span class="p">,</span>
+    <span class="s">&quot;Some High School&quot;</span> <span class="o">=&gt;</span> <span class="mi">3</span><span class="p">,</span>
+<span class="p">)</span>
+
+<span class="n">d</span><span class="o">.</span><span class="n">edu_new</span> <span class="o">=</span> <span class="n">map</span><span class="p">(</span><span class="n">s</span> <span class="o">-&gt;</span> <span class="n">edu_l</span><span class="p">[</span><span class="n">s</span><span class="p">],</span> <span class="n">d</span><span class="o">.</span><span class="n">edu</span><span class="p">);</span>
+</pre></div>
+
+    </div>
+</div>
+</div>
+
+</div>
+<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
+</div><div class="inner_cell">
+<div class="text_cell_render border-box-sizing rendered_html">
+<p>Code 12.32</p>
+
+</div>
+</div>
+</div>
+<div class="cell border-box-sizing code_cell rendered">
+<div class="input">
+<div class="prompt input_prompt">In&nbsp;[32]:</div>
+<div class="inner_cell">
+    <div class="input_area">
+<div class=" highlight hl-julia"><pre><span></span><span class="n">Random</span><span class="o">.</span><span class="n">seed!</span><span class="p">(</span><span class="mi">1805</span><span class="p">)</span>
+<span class="n">delta</span> <span class="o">=</span> <span class="n">rand</span><span class="p">(</span><span class="n">Dirichlet</span><span class="p">(</span><span class="mi">7</span><span class="p">,</span> <span class="mi">2</span><span class="p">),</span> <span class="mi">10</span><span class="p">)</span>
+</pre></div>
+
+    </div>
+</div>
+</div>
+
+<div class="output_wrapper">
+<div class="output">
+
+
+<div class="output_area">
+
+    <div class="prompt output_prompt">Out[32]:</div>
+
+
+
+
+<div class="output_text output_subarea output_execute_result">
+<pre>7×10 Matrix{Float64}:
+ 0.198046   0.0815291  0.0676167  …  0.207756   0.123371   0.375937
+ 0.0870147  0.231992   0.21954       0.16657    0.25109    0.091998
+ 0.164311   0.0899774  0.195904      0.0776228  0.0819914  0.0634425
+ 0.204465   0.0635362  0.199463      0.0964028  0.150229   0.162127
+ 0.0541011  0.119333   0.0121268     0.0805194  0.201325   0.136166
+ 0.256943   0.310157   0.0639191  …  0.202942   0.145848   0.148425
+ 0.0351202  0.103475   0.24143       0.168186   0.0461463  0.0219053</pre>
+</div>
+
+</div>
+
+</div>
+</div>
+
+</div>
+<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
+</div><div class="inner_cell">
+<div class="text_cell_render border-box-sizing rendered_html">
+<p>Code 12.33</p>
+
+</div>
+</div>
+</div>
+<div class="cell border-box-sizing code_cell rendered">
+<div class="input">
+<div class="prompt input_prompt">In&nbsp;[33]:</div>
+<div class="inner_cell">
+    <div class="input_area">
+<div class=" highlight hl-julia"><pre><span></span><span class="n">h</span> <span class="o">=</span> <span class="mi">3</span>
+<span class="n">p</span> <span class="o">=</span> <span class="n">plot</span><span class="p">(</span><span class="n">xlab</span><span class="o">=</span><span class="s">&quot;index&quot;</span><span class="p">,</span> <span class="n">ylab</span><span class="o">=</span><span class="s">&quot;probability&quot;</span><span class="p">)</span>
+<span class="k">for</span> <span class="p">(</span><span class="n">idx</span><span class="p">,</span> <span class="n">col</span><span class="p">)</span> <span class="o">∈</span> <span class="n">enumerate</span><span class="p">(</span><span class="n">eachcol</span><span class="p">(</span><span class="n">delta</span><span class="p">))</span>
+    <span class="n">plot!</span><span class="p">(</span><span class="n">col</span><span class="p">,</span> <span class="n">c</span><span class="o">=</span><span class="ss">:black</span><span class="p">,</span> <span class="n">alpha</span><span class="o">=</span><span class="mf">0.7</span><span class="p">,</span> <span class="n">lw</span><span class="o">=</span><span class="n">idx</span> <span class="o">==</span> <span class="n">h</span> <span class="o">?</span> <span class="mi">3</span> <span class="o">:</span> <span class="mi">1</span><span class="p">,</span> <span class="n">m</span><span class="o">=</span> <span class="n">idx</span> <span class="o">==</span> <span class="n">h</span> <span class="o">?</span> <span class="ss">:v</span> <span class="o">:</span> <span class="ss">:o</span><span class="p">)</span>
+<span class="k">end</span>
+<span class="n">p</span>
+</pre></div>
+
+    </div>
+</div>
+</div>
+
+<div class="output_wrapper">
+<div class="output">
+
+
+<div class="output_area">
+
+    <div class="prompt output_prompt">Out[33]:</div>
+
+
+
+<div class="output_svg output_subarea output_execute_result">
+<?xml version="1.0" encoding="utf-8"?>
+<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="600" height="400" viewBox="0 0 2400 1600">
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+<path clip-path="url(#clip050)" d="
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+
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+
+</div>
+</div>
+
+</div>
+<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
+</div><div class="inner_cell">
+<div class="text_cell_render border-box-sizing rendered_html">
+<p>Code 12.34</p>
+<p>Could take 20-30 minutes...</p>
+
+</div>
+</div>
+</div>
+<div class="cell border-box-sizing code_cell rendered">
+<div class="input">
+<div class="prompt input_prompt">In&nbsp;[34]:</div>
+<div class="inner_cell">
+    <div class="input_area">
+<div class=" highlight hl-julia"><pre><span></span><span class="nd">@model</span> <span class="k">function</span> <span class="n">m12_6</span><span class="p">(</span><span class="n">R</span><span class="p">,</span> <span class="n">action</span><span class="p">,</span> <span class="n">intention</span><span class="p">,</span> <span class="n">contact</span><span class="p">,</span> <span class="n">E</span><span class="p">)</span>
+    <span class="n">delta</span> <span class="o">~</span> <span class="n">Dirichlet</span><span class="p">(</span><span class="mi">7</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
+    <span class="n">pushfirst!</span><span class="p">(</span><span class="n">delta</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">)</span>
+    
+    <span class="n">bA</span> <span class="o">~</span> <span class="n">Normal</span><span class="p">()</span>
+    <span class="n">bI</span> <span class="o">~</span> <span class="n">Normal</span><span class="p">()</span>
+    <span class="n">bC</span> <span class="o">~</span> <span class="n">Normal</span><span class="p">()</span>
+    <span class="n">bE</span> <span class="o">~</span> <span class="n">Normal</span><span class="p">()</span>
+
+    <span class="c"># sum all education&#39;s deltas</span>
+    <span class="n">sE</span> <span class="o">=</span> <span class="n">sum</span><span class="o">.</span><span class="p">(</span><span class="n">map</span><span class="p">(</span><span class="n">i</span> <span class="o">-&gt;</span> <span class="n">delta</span><span class="p">[</span><span class="mi">1</span><span class="o">:</span><span class="n">i</span><span class="p">],</span> <span class="n">E</span><span class="p">))</span>
+    <span class="n">phi</span> <span class="o">=</span> <span class="nd">@.</span> <span class="n">bE</span><span class="o">*</span><span class="n">sE</span> <span class="o">+</span> <span class="n">bA</span><span class="o">*</span><span class="n">action</span> <span class="o">+</span> <span class="n">bI</span><span class="o">*</span><span class="n">intention</span> <span class="o">+</span> <span class="n">bC</span><span class="o">*</span><span class="n">contact</span>
+
+    <span class="c"># use same cutpoints as before</span>
+    <span class="n">Δ_cutpoints</span> <span class="o">~</span> <span class="n">filldist</span><span class="p">(</span><span class="n">Exponential</span><span class="p">(),</span> <span class="mi">6</span><span class="p">)</span>
+    <span class="n">cutpoints</span> <span class="o">=</span> <span class="o">-</span><span class="mi">3</span> <span class="o">.+</span> <span class="n">cumsum</span><span class="p">(</span><span class="n">Δ_cutpoints</span><span class="p">)</span>
+    
+    <span class="k">for</span> <span class="n">i</span> <span class="o">∈</span> <span class="n">eachindex</span><span class="p">(</span><span class="n">R</span><span class="p">)</span>
+        <span class="n">R</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">~</span> <span class="n">OrderedLogistic</span><span class="p">(</span><span class="n">phi</span><span class="p">[</span><span class="n">i</span><span class="p">],</span> <span class="n">cutpoints</span><span class="p">)</span>
+    <span class="k">end</span>
+<span class="k">end</span>
+
+<span class="n">model</span> <span class="o">=</span> <span class="n">m12_6</span><span class="p">(</span><span class="n">d</span><span class="o">.</span><span class="n">response</span><span class="p">,</span> <span class="n">d</span><span class="o">.</span><span class="n">action</span><span class="p">,</span> <span class="n">d</span><span class="o">.</span><span class="n">intention</span><span class="p">,</span> <span class="n">d</span><span class="o">.</span><span class="n">contact</span><span class="p">,</span> <span class="n">d</span><span class="o">.</span><span class="n">edu_new</span><span class="p">)</span>
+
+<span class="n">m12_6_ch</span> <span class="o">=</span> <span class="n">sample</span><span class="p">(</span><span class="n">model</span><span class="p">,</span> <span class="n">NUTS</span><span class="p">(),</span> <span class="mi">1000</span><span class="p">);</span>
+</pre></div>
+
+    </div>
+</div>
+</div>
+
+<div class="output_wrapper">
+<div class="output">
+
+
+<div class="output_area">
+
+    <div class="prompt"></div>
+
+
+<div class="output_subarea output_stream output_stderr output_text">
+<pre>┌ Info: Found initial step size
+│   ϵ = 0.0125
+└ @ Turing.Inference /home/shmuma/.julia/packages/Turing/nfMhU/src/inference/hmc.jl:188
+<span class="ansi-green-fg">Sampling: 100%|█████████████████████████████████████████| Time: 0:31:46</span>
+</pre>
+</div>
+</div>
+
+</div>
+</div>
+
+</div>
+<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
+</div><div class="inner_cell">
+<div class="text_cell_render border-box-sizing rendered_html">
+<p>Code 12.35</p>
+
+</div>
+</div>
+</div>
+<div class="cell border-box-sizing code_cell rendered">
+<div class="input">
+<div class="prompt input_prompt">In&nbsp;[35]:</div>
+<div class="inner_cell">
+    <div class="input_area">
+<div class=" highlight hl-julia"><pre><span></span><span class="n">m12_6_df</span> <span class="o">=</span> <span class="n">DataFrame</span><span class="p">(</span><span class="n">m12_6_ch</span><span class="p">)</span>
+<span class="n">precis</span><span class="p">(</span><span class="n">m12_6_df</span><span class="p">)</span>
+</pre></div>
+
+    </div>
+</div>
+</div>
+
+<div class="output_wrapper">
+<div class="output">
+
+
+<div class="output_area">
+
+    <div class="prompt"></div>
+
+
+<div class="output_subarea output_stream output_stdout output_text">
+<pre>┌────────────────┬────────────────────────────────────────────────────────────┐
+│<span class="ansi-bold">          param </span>│<span class="ansi-bold">    mean </span><span class="ansi-bold">    std </span><span class="ansi-bold">    5.5% </span><span class="ansi-bold">     50% </span><span class="ansi-bold">   94.5% </span><span class="ansi-bold">      histogram </span>│
+├────────────────┼────────────────────────────────────────────────────────────┤
+│             bA │ -0.6981  0.0396    -0.76  -0.6987  -0.6359  ▁▁▁▁▂▄▇██▆▅▂▁▁ │
+│             bC │  -0.949  0.0495   -1.027  -0.9497  -0.8697         ▁▄██▄▁▁ │
+│             bE │ -0.1749  0.0868  -0.2907  -0.1828  -0.0304    ▁▁▂▅██▆▃▂▁▁▁ │
+│             bI │ -0.7108  0.0365  -0.7684  -0.7115  -0.6542  ▁▁▁▃▆▇█▇▆▂▁▁▁▁ │
+│       delta[1] │  0.1534  0.0967    0.028   0.1366    0.322   ▇██▇▆▄▂▁▁▁▁▁▁ │
+│       delta[2] │   0.146  0.0918   0.0298    0.128   0.3089    ▅██▅▄▃▂▁▁▁▁▁ │
+│       delta[3] │   0.177  0.1062   0.0405   0.1557   0.3613   ▃▇█▆▆▄▃▁▁▁▁▁▁ │
+│       delta[4] │  0.1883  0.1056   0.0506   0.1781   0.3912    ▃▇██▆▅▃▂▂▁▁▁ │
+│       delta[5] │  0.0641    0.06     0.01   0.0454    0.173       █▄▂▁▁▁▁▁▁ │
+│       delta[6] │  0.1226  0.0758   0.0298     0.11   0.2548      ▅██▅▃▂▁▁▁▁ │
+│       delta[7] │  0.1485  0.0859   0.0308   0.1347   0.3152       ▅██▇▄▃▂▁▁ │
+│ Δ_cutpoints[1] │  0.0589  0.0497   0.0032   0.0478   0.1532   █▅▅▄▃▂▂▁▁▁▁▁▁ │
+│ Δ_cutpoints[2] │  0.6787  0.0217   0.6444    0.679   0.7136        ▁▁▅██▄▁▁ │
+│ Δ_cutpoints[3] │  0.5816  0.0174   0.5545   0.5815    0.609   ▁▁▁▃▅██▆▄▂▁▁▁ │
+│ Δ_cutpoints[4] │  1.0187  0.0193   0.9892   1.0177   1.0504  ▁▁▁▂▄▇█▇▅▃▂▁▁▁ │
+│ Δ_cutpoints[5] │   0.667  0.0172   0.6385   0.6668   0.6941     ▁▁▂▃▆█▇▄▂▁▁ │
+│ Δ_cutpoints[6] │  0.9066  0.0233   0.8701   0.9065   0.9425       ▁▁▃▇█▅▂▁▁ │
+└────────────────┴────────────────────────────────────────────────────────────┘
+</pre>
+</div>
+</div>
+
+</div>
+</div>
+
+</div>
+<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
+</div><div class="inner_cell">
+<div class="text_cell_render border-box-sizing rendered_html">
+<p>Code 12.36</p>
+
+</div>
+</div>
+</div>
+<div class="cell border-box-sizing code_cell rendered">
+<div class="input">
+<div class="prompt input_prompt">In&nbsp;[36]:</div>
+<div class="inner_cell">
+    <div class="input_area">
+<div class=" highlight hl-julia"><pre><span></span><span class="n">delta_labels</span> <span class="o">=</span> <span class="p">[</span><span class="s">&quot;Elem&quot;</span><span class="p">,</span><span class="s">&quot;MidSch&quot;</span><span class="p">,</span><span class="s">&quot;SHS&quot;</span><span class="p">,</span><span class="s">&quot;HSG&quot;</span><span class="p">,</span><span class="s">&quot;SCol&quot;</span><span class="p">,</span><span class="s">&quot;Bach&quot;</span><span class="p">,</span><span class="s">&quot;Mast&quot;</span><span class="p">,</span><span class="s">&quot;Grad&quot;</span><span class="p">]</span>
+<span class="n">df</span> <span class="o">=</span> <span class="n">m12_6_df</span><span class="p">[</span><span class="o">!</span><span class="p">,</span><span class="sa">r</span><span class="sr">&quot;delta.*&quot;</span><span class="p">]</span>
+
+<span class="n">corrplot</span><span class="p">(</span><span class="kt">Matrix</span><span class="p">(</span><span class="n">df</span><span class="p">);</span> <span class="n">seriestype</span><span class="o">=</span><span class="ss">:scatter</span><span class="p">,</span> <span class="n">bins</span><span class="o">=</span><span class="mi">30</span><span class="p">,</span> <span class="n">grid</span><span class="o">=</span><span class="nb">false</span><span class="p">,</span> <span class="n">ms</span><span class="o">=</span><span class="mf">0.1</span><span class="p">,</span> <span class="n">ma</span><span class="o">=</span><span class="mf">0.8</span><span class="p">,</span> 
+    <span class="n">size</span><span class="o">=</span><span class="p">(</span><span class="mi">1000</span><span class="p">,</span><span class="mi">800</span><span class="p">),</span> <span class="n">label</span><span class="o">=</span><span class="n">delta_labels</span><span class="p">)</span>
+</pre></div>
+
+    </div>
+</div>
+</div>
+
+<div class="output_wrapper">
+<div class="output">
+
+
+<div class="output_area">
+
+    <div class="prompt output_prompt">Out[36]:</div>
+
+
+
+<div class="output_svg output_subarea output_execute_result">
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+<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt">
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+<div class="text_cell_render border-box-sizing rendered_html">
+<p>Code 12.37</p>
+
+</div>
+</div>
+</div>
+<div class="cell border-box-sizing code_cell rendered">
+<div class="input">
+<div class="prompt input_prompt">In&nbsp;[37]:</div>
+<div class="inner_cell">
+    <div class="input_area">
+<div class=" highlight hl-julia"><pre><span></span><span class="n">d</span><span class="o">.</span><span class="n">edu_norm</span> <span class="o">=</span> <span class="n">standardize</span><span class="p">(</span><span class="n">UnitRangeTransform</span><span class="p">,</span> <span class="kt">Float64</span><span class="o">.</span><span class="p">(</span><span class="n">d</span><span class="o">.</span><span class="n">edu_new</span><span class="p">))</span>
+
+<span class="nd">@model</span> <span class="k">function</span> <span class="n">m12_7</span><span class="p">(</span><span class="n">R</span><span class="p">,</span> <span class="n">action</span><span class="p">,</span> <span class="n">intention</span><span class="p">,</span> <span class="n">contact</span><span class="p">,</span> <span class="n">edu_norm</span><span class="p">)</span>
+    <span class="n">bA</span> <span class="o">~</span> <span class="n">Normal</span><span class="p">()</span>
+    <span class="n">bI</span> <span class="o">~</span> <span class="n">Normal</span><span class="p">()</span>
+    <span class="n">bC</span> <span class="o">~</span> <span class="n">Normal</span><span class="p">()</span>
+    <span class="n">bE</span> <span class="o">~</span> <span class="n">Normal</span><span class="p">()</span>
+
+    <span class="n">phi</span> <span class="o">=</span> <span class="nd">@.</span> <span class="n">bE</span><span class="o">*</span><span class="n">edu_norm</span> <span class="o">+</span> <span class="n">bA</span><span class="o">*</span><span class="n">action</span> <span class="o">+</span> <span class="n">bI</span><span class="o">*</span><span class="n">intention</span> <span class="o">+</span> <span class="n">bC</span><span class="o">*</span><span class="n">contact</span>
+
+    <span class="c"># use same cutpoints as before</span>
+    <span class="n">Δ_cutpoints</span> <span class="o">~</span> <span class="n">filldist</span><span class="p">(</span><span class="n">Exponential</span><span class="p">(),</span> <span class="mi">6</span><span class="p">)</span>
+    <span class="n">cutpoints</span> <span class="o">=</span> <span class="o">-</span><span class="mi">3</span> <span class="o">.+</span> <span class="n">cumsum</span><span class="p">(</span><span class="n">Δ_cutpoints</span><span class="p">)</span>
+    
+    <span class="k">for</span> <span class="n">i</span> <span class="o">∈</span> <span class="n">eachindex</span><span class="p">(</span><span class="n">R</span><span class="p">)</span>
+        <span class="n">R</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">~</span> <span class="n">OrderedLogistic</span><span class="p">(</span><span class="n">phi</span><span class="p">[</span><span class="n">i</span><span class="p">],</span> <span class="n">cutpoints</span><span class="p">)</span>
+    <span class="k">end</span>
+<span class="k">end</span>
+
+<span class="n">model</span> <span class="o">=</span> <span class="n">m12_7</span><span class="p">(</span><span class="n">d</span><span class="o">.</span><span class="n">response</span><span class="p">,</span> <span class="n">d</span><span class="o">.</span><span class="n">action</span><span class="p">,</span> <span class="n">d</span><span class="o">.</span><span class="n">intention</span><span class="p">,</span> <span class="n">d</span><span class="o">.</span><span class="n">contact</span><span class="p">,</span> <span class="n">d</span><span class="o">.</span><span class="n">edu_norm</span><span class="p">)</span>
+
+<span class="n">m12_7_ch</span> <span class="o">=</span> <span class="n">sample</span><span class="p">(</span><span class="n">model</span><span class="p">,</span> <span class="n">NUTS</span><span class="p">(),</span> <span class="mi">1000</span><span class="p">)</span>
+<span class="n">m12_7_df</span> <span class="o">=</span> <span class="n">DataFrame</span><span class="p">(</span><span class="n">m12_7_ch</span><span class="p">)</span>
+<span class="n">precis</span><span class="p">(</span><span class="n">m12_7_df</span><span class="p">)</span>
+</pre></div>
+
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+<div class="output_subarea output_stream output_stderr output_text">
+<pre>┌ Info: Found initial step size
+│   ϵ = 0.0125
+└ @ Turing.Inference /home/shmuma/.julia/packages/Turing/nfMhU/src/inference/hmc.jl:188
+<span class="ansi-green-fg">Sampling: 100%|█████████████████████████████████████████| Time: 0:00:41</span>
+</pre>
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+<pre>┌────────────────┬────────────────────────────────────────────────────────────┐
+│<span class="ansi-bold">          param </span>│<span class="ansi-bold">    mean </span><span class="ansi-bold">    std </span><span class="ansi-bold">    5.5% </span><span class="ansi-bold">     50% </span><span class="ansi-bold">   94.5% </span><span class="ansi-bold">      histogram </span>│
+├────────────────┼────────────────────────────────────────────────────────────┤
+│             bA │ -0.6949  0.0458  -0.7636  -0.6963  -0.6167  ▁▁▁▂▆▆██▆▆▃▃▁▁ │
+│             bC │ -0.9406  0.0565  -1.0292  -0.9431  -0.8547         ▁▁▄█▇▇▁ │
+│             bE │ -0.0743    0.09  -0.2136  -0.0762   0.0596      ▁▁▃▆█▇▆█▃▁ │
+│             bI │ -0.7156  0.0344  -0.7714  -0.7152  -0.6651    ▁▁▁▃▅▇█▇▄▂▁▁ │
+│ Δ_cutpoints[1] │  0.1353  0.0941   0.0167    0.112   0.3148         ▆█▇▄▂▃▃ │
+│ Δ_cutpoints[2] │   0.679   0.021   0.6488   0.6777   0.7136   ▁▁▂▆▇██▆▄▂▁▁▁ │
+│ Δ_cutpoints[3] │  0.5787  0.0178    0.552   0.5766   0.6106     ▁▂▃▇█▆▅▃▂▁▁ │
+│ Δ_cutpoints[4] │  1.0133  0.0236   0.9753   1.0147   1.0479   ▁▆▅▅███▇▆▂▁▁▁ │
+│ Δ_cutpoints[5] │  0.6685  0.0158   0.6419   0.6677   0.6941     ▁▁▁▂▅█▇▄▂▁▁ │
+│ Δ_cutpoints[6] │  0.9066  0.0205   0.8748   0.9073    0.939        ▁▂▅█▄▁▁▁ │
+└────────────────┴────────────────────────────────────────────────────────────┘
+</pre>
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