diff --git a/.gitignore b/.gitignore index 56fa29e5..4815c96b 100644 --- a/.gitignore +++ b/.gitignore @@ -69,4 +69,4 @@ docs/site site/ # folders in the repository -notebooks/ \ No newline at end of file +/notebooks diff --git a/README.md b/README.md index 7fabc921..492de4b8 100644 --- a/README.md +++ b/README.md @@ -42,7 +42,7 @@ pip install git+https://github.com/lnccbrown/HSSM.git ``` You will need optional dependencies to use JAX-based samplers and graph the models. -Please refer to our [installation guide](https://lnccbrown.github.io/HSSM/installation/) +Please refer to our [installation guide](https://lnccbrown.github.io/HSSM/getting_started/installation/) for more detailed instructions. **Note**: Possible solutions to any issues with installations with hssm can be located [here](https://github.com/lnccbrown/HSSM/discussions). We recommend leveraging an environment manager with Python 3.9~3.11 to prevent any problems with dependencies during the installation process. Please note that hssm is tested for python 3.9, 3.10, 3.11. Use other python versions with caution. @@ -82,8 +82,8 @@ model = hssm.HSSM( model.sample() ``` -To quickly get started with HSSM, please follow [this tutorial](https://lnccbrown.github.io/HSSM/tutorial_notebooks/no_execute/getting_started/). -For a deeper dive into HSSM, please follow [our main tutorial](https://lnccbrown.github.io/HSSM/tutorial_notebooks/no_execute/main_tutorial/). +To quickly get started with HSSM, please follow [this tutorial](https://lnccbrown.github.io/HSSM/getting_started/getting_started/). +For a deeper dive into HSSM, please follow [our main tutorial](https://lnccbrown.github.io/HSSM/tutorials/main_tutorial/). ## License diff --git a/docs/api_defaults.md b/docs/api/defaults.md similarity index 100% rename from docs/api_defaults.md rename to docs/api/defaults.md diff --git a/docs/api_distribution_utils.md b/docs/api/distribution_utils.md similarity index 100% rename from docs/api_distribution_utils.md rename to docs/api/distribution_utils.md diff --git a/docs/api_hssm.md b/docs/api/hssm.md similarity index 100% rename from docs/api_hssm.md rename to docs/api/hssm.md diff --git a/docs/api_likelihoods.md b/docs/api/likelihoods.md similarity index 100% rename from docs/api_likelihoods.md rename to docs/api/likelihoods.md diff --git a/docs/changelog.md b/docs/changelog.md index 775c0722..ebdfd546 100644 --- a/docs/changelog.md +++ b/docs/changelog.md @@ -2,6 +2,15 @@ ## 0.1.x +### 0.1.3 + +- Added the ability to specify `inf`s in bounds. +- Fixed an issue where `nuts_numpyro` sampler fails with regression and lapse distribution. +- Defaults to `nuts_numpyro` sampler with `approx_differentiable` likelihoods and `jax` backend. +- Added a `hssm.show_defaults()` convenience function to print out default configs. +- Added default `blackbox` likelihoods for `ddm` and `ddm_sdv` models. +- Various under-the-hood documentation improvements. + ### 0.1.2 - Improved numerical stability of `analytical` likelihoods. diff --git a/docs/getting_started/getting_started.ipynb b/docs/getting_started/getting_started.ipynb new file mode 100644 index 00000000..524e07ee --- /dev/null +++ b/docs/getting_started/getting_started.ipynb @@ -0,0 +1,7094 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "9ecc15b5-726f-4065-a095-26117b8a4f9c", + "metadata": {}, + "source": [ + "# Getting Started\n", + "\n", + "This tutorial demonstrates how to quickly get started with the HSSM package. We will cover the following steps:\n", + "\n", + "- How to create a model\n", + "- How to create some simple simulated data\n", + "- How to specify parameters\n", + "- How to specify parameters with regressions\n", + "- How to use ArviZ to summarize and visualize the traces." + ] + }, + { + "cell_type": "markdown", + "id": "55fd170f", + "metadata": {}, + "source": [ + "## Colab Instructions\n", + "\n", + "If you would like to run this tutorial on Google colab, please click this [link](https://github.com/lnccbrown/HSSM/blob/main/docs/tutorial_notebooks/no_execute/getting_started.ipynb). \n", + "\n", + "Once you are *in the colab*, follow the *installation instructions below* and then **restart your runtime**. \n", + "\n", + "Just **uncomment the code in the next code cell** and run it!\n", + "\n", + "**NOTE**:\n", + "\n", + "You may want to *switch your runtime* to have a GPU or TPU. To do so, go to *Runtime* > *Change runtime type* and select the desired hardware accelerator.\n", + "\n", + "Note that if you switch your runtime you have to follow the installation instructions again." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "84bc19a5", + "metadata": {}, + "outputs": [], + "source": [ + "# !pip install numpy==1.23.4\n", + "# !pip install git+https://github.com/lnccbrown/hssm@main\n", + "# !pip install git+https://github.com/brown-ccv/hddm-wfpt@main\n", + "# !pip install numpyro" + ] + }, + { + "cell_type": "markdown", + "id": "263fc20b", + "metadata": {}, + "source": [ + "## Import Modules" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "6df1c212-64cb-4c39-abae-dd0db3bc2429", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "import arviz as az\n", + "import bambi as bmb # only necessary if you want to specify priors using bmb.Prior\n", + "import numpy as np\n", + "import hssm" + ] + }, + { + "cell_type": "markdown", + "id": "0d4cd6cd-1169-45e3-b35c-ef773bc5cad3", + "metadata": {}, + "source": [ + "### Setting the global float type\n", + "\n", + "**Note**: Using the analytical DDM (Drift Diffusion Model) likelihood in PyMC without setting the float type in `PyTensor` may result in warning messages during sampling, which is a known bug in PyMC v5.6.0 and earlier versions. To avoid these warnings, we provide a convenience function:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "1f29da18-bbaa-4d40-bce1-9ef3f42496ed", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Setting PyTensor floatX type to float32.\n", + "Setting \"jax_enable_x64\" to False. If this is not intended, please set `jax` to False.\n" + ] + } + ], + "source": [ + "hssm.set_floatX(\"float32\")" + ] + }, + { + "cell_type": "markdown", + "id": "e8e41269-4c1e-4ec5-b2eb-82c35ee860c2", + "metadata": {}, + "source": [ + "## Simulating a dataset\n", + "\n", + "The `hssm.simulate_data()` function generates data for most SSM types. Here we simulate some data from a Drift Diffusion Model (DDM) with known true parameter values." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "99bd95f4-5775-4142-8d6c-a01bfab7c88e", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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\n", + "\n", + " From HSSM v0.1.2 on, lapse distributions will be enabled by default, with `p_outlier` fixed to 0.05. You can set `p_outlier` to 0 or `None` to disable lapse distributions. \n", + "
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---|---|---|---|---|---|---|---|---|---|
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---|---|---|---|---|
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\n", + "\n", + " | mean | \n", + "sd | \n", + "hdi_3% | \n", + "hdi_97% | \n", + "mcse_mean | \n", + "mcse_sd | \n", + "ess_bulk | \n", + "ess_tail | \n", + "r_hat | \n", + "
---|---|---|---|---|---|---|---|---|---|
t | \n", + "0.579 | \n", + "0.028 | \n", + "0.531 | \n", + "0.628 | \n", + "0.001 | \n", + "0.000 | \n", + "2945.0 | \n", + "2764.0 | \n", + "1.0 | \n", + "
z | \n", + "0.555 | \n", + "0.012 | \n", + "0.531 | \n", + "0.576 | \n", + "0.000 | \n", + "0.000 | \n", + "4152.0 | \n", + "2663.0 | \n", + "1.0 | \n", + "
a | \n", + "1.441 | \n", + "0.031 | \n", + "1.385 | \n", + "1.501 | \n", + "0.001 | \n", + "0.000 | \n", + "3214.0 | \n", + "2634.0 | \n", + "1.0 | \n", + "
v_Intercept | \n", + "0.156 | \n", + "0.093 | \n", + "-0.023 | \n", + "0.329 | \n", + "0.002 | \n", + "0.001 | \n", + "3757.0 | \n", + "2315.0 | \n", + "1.0 | \n", + "
v_x | \n", + "0.693 | \n", + "0.211 | \n", + "0.321 | \n", + "1.000 | \n", + "0.003 | \n", + "0.002 | \n", + "4003.0 | \n", + "2218.0 | \n", + "1.0 | \n", + "
v_y | \n", + "0.371 | \n", + "0.226 | \n", + "0.000 | \n", + "0.761 | \n", + "0.004 | \n", + "0.003 | \n", + "3048.0 | \n", + "2015.0 | \n", + "1.0 | \n", + "
\n", - " | rt | \n", - "response | \n", - "
---|---|---|
0 | \n", - "2.930006 | \n", - "1.0 | \n", - "
1 | \n", - "0.894998 | \n", - "1.0 | \n", - "
2 | \n", - "1.646998 | \n", - "1.0 | \n", - "
3 | \n", - "2.422034 | \n", - "-1.0 | \n", - "
4 | \n", - "1.984013 | \n", - "1.0 | \n", - "
... | \n", - "... | \n", - "... | \n", - "
995 | \n", - "3.083995 | \n", - "1.0 | \n", - "
996 | \n", - "3.029999 | \n", - "1.0 | \n", - "
997 | \n", - "0.942998 | \n", - "-1.0 | \n", - "
998 | \n", - "3.680952 | \n", - "1.0 | \n", - "
999 | \n", - "5.315834 | \n", - "-1.0 | \n", - "
1000 rows × 2 columns
\n", - "Note
\n", - "\n", - " From HSSM v0.1.2 on, lapse distributions will be enabled by default, with `p_outlier` fixed to 0.05. You can set `p_outlier` to 0 or `None` to disable lapse distributions. \n", - "
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<xarray.Dataset>\n", - "Dimensions: (rt,response_obs: 1000, rt,response_extra_dim_0: 2)\n", - "Coordinates:\n", - " * rt,response_obs (rt,response_obs) int64 0 1 2 3 ... 996 997 998 999\n", - " * rt,response_extra_dim_0 (rt,response_extra_dim_0) int64 0 1\n", - "Data variables:\n", - " rt,response (rt,response_obs, rt,response_extra_dim_0) float32 ...\n", - "Attributes:\n", - " created_at: 2023-07-24T15:36:23.220246\n", - " arviz_version: 0.14.0\n", - " inference_library: pymc\n", - " inference_library_version: 5.6.1\n", - " modeling_interface: bambi\n", - " modeling_interface_version: 0.12.0
\n", - " | mean | \n", - "sd | \n", - "hdi_3% | \n", - "hdi_97% | \n", - "mcse_mean | \n", - "mcse_sd | \n", - "ess_bulk | \n", - "ess_tail | \n", - "r_hat | \n", - "
---|---|---|---|---|---|---|---|---|---|
a | \n", - "1.496 | \n", - "0.031 | \n", - "1.436 | \n", - "1.550 | \n", - "0.001 | \n", - "0.0 | \n", - "2435.0 | \n", - "2607.0 | \n", - "1.0 | \n", - "
t | \n", - "0.510 | \n", - "0.024 | \n", - "0.465 | \n", - "0.553 | \n", - "0.000 | \n", - "0.0 | \n", - "2459.0 | \n", - "2460.0 | \n", - "1.0 | \n", - "
z | \n", - "0.486 | \n", - "0.014 | \n", - "0.459 | \n", - "0.511 | \n", - "0.000 | \n", - "0.0 | \n", - "2754.0 | \n", - "2877.0 | \n", - "1.0 | \n", - "
v | \n", - "0.583 | \n", - "0.033 | \n", - "0.519 | \n", - "0.643 | \n", - "0.001 | \n", - "0.0 | \n", - "2840.0 | \n", - "2887.0 | \n", - "1.0 | \n", - "
<xarray.Dataset>\n", - "Dimensions: (chain: 2, draw: 1000)\n", - "Coordinates:\n", - " * chain (chain) int64 0 1\n", - " * draw (draw) int64 0 1 2 3 4 5 6 7 8 ... 992 993 994 995 996 997 998 999\n", - "Data variables:\n", - " t (chain, draw) float32 0.5055 0.5473 0.5089 ... 0.5322 0.5215 0.5434\n", - " theta (chain, draw) float32 0.3245 0.2927 0.284 ... 0.3096 0.3101 0.31\n", - " z (chain, draw) float32 0.5213 0.506 0.5194 ... 0.4844 0.4937 0.4914\n", - " a (chain, draw) float32 1.522 1.464 1.445 1.694 ... 1.453 1.481 1.45\n", - " v (chain, draw) float32 0.5062 0.5195 0.4753 ... 0.5231 0.5198 0.5473\n", - "Attributes:\n", - " created_at: 2023-07-24T15:38:20.071268\n", - " arviz_version: 0.14.0\n", - " inference_library: pymc\n", - " inference_library_version: 5.6.1\n", - " sampling_time: 113.14033389091492\n", - " tuning_steps: 1000\n", - " modeling_interface: bambi\n", - " modeling_interface_version: 0.12.0
<xarray.Dataset>\n", - "Dimensions: (chain: 2, draw: 1000)\n", - "Coordinates:\n", - " * chain (chain) int64 0 1\n", - " * draw (draw) int64 0 1 2 3 4 5 ... 994 995 996 997 998 999\n", - "Data variables: (12/17)\n", - " step_size_bar (chain, draw) float64 0.2835 0.2835 ... 0.3007 0.3007\n", - " perf_counter_diff (chain, draw) float64 0.03351 0.03362 ... 0.01576\n", - " tree_depth (chain, draw) int64 4 4 4 4 4 4 4 5 ... 3 4 4 3 2 2 3\n", - " energy (chain, draw) float64 1.448e+03 ... 1.451e+03\n", - " lp (chain, draw) float64 -1.447e+03 ... -1.449e+03\n", - " energy_error (chain, draw) float64 -0.0781 -0.177 ... 0.3245\n", - " ... ...\n", - " n_steps (chain, draw) float64 15.0 15.0 15.0 ... 3.0 3.0 7.0\n", - " reached_max_treedepth (chain, draw) bool False False False ... False False\n", - " acceptance_rate (chain, draw) float64 0.722 0.9426 ... 0.5292 0.4172\n", - " diverging (chain, draw) bool False False False ... False False\n", - " index_in_trajectory (chain, draw) int64 -8 -10 6 12 12 -8 ... -5 3 1 2 2\n", - " perf_counter_start (chain, draw) float64 66.59 66.62 ... 149.0 149.1\n", - "Attributes:\n", - " created_at: 2023-07-24T15:38:20.076543\n", - " arviz_version: 0.14.0\n", - " inference_library: pymc\n", - " inference_library_version: 5.6.1\n", - " sampling_time: 113.14033389091492\n", - " tuning_steps: 1000\n", - " modeling_interface: bambi\n", - " modeling_interface_version: 0.12.0
<xarray.Dataset>\n", - "Dimensions: (rt,response_obs: 1000, rt,response_extra_dim_0: 2)\n", - "Coordinates:\n", - " * rt,response_obs (rt,response_obs) int64 0 1 2 3 ... 996 997 998 999\n", - " * rt,response_extra_dim_0 (rt,response_extra_dim_0) int64 0 1\n", - "Data variables:\n", - " rt,response (rt,response_obs, rt,response_extra_dim_0) float32 ...\n", - "Attributes:\n", - " created_at: 2023-07-24T15:38:20.079574\n", - " arviz_version: 0.14.0\n", - " inference_library: pymc\n", - " inference_library_version: 5.6.1\n", - " modeling_interface: bambi\n", - " modeling_interface_version: 0.12.0
\n", - " | mean | \n", - "sd | \n", - "hdi_3% | \n", - "hdi_97% | \n", - "mcse_mean | \n", - "mcse_sd | \n", - "ess_bulk | \n", - "ess_tail | \n", - "r_hat | \n", - "
---|---|---|---|---|---|---|---|---|---|
t | \n", - "0.498 | \n", - "0.029 | \n", - "0.447 | \n", - "0.551 | \n", - "0.001 | \n", - "0.001 | \n", - "820.0 | \n", - "1185.0 | \n", - "1.0 | \n", - "
theta | \n", - "0.330 | \n", - "0.029 | \n", - "0.279 | \n", - "0.385 | \n", - "0.001 | \n", - "0.001 | \n", - "942.0 | \n", - "1076.0 | \n", - "1.0 | \n", - "
z | \n", - "0.505 | \n", - "0.014 | \n", - "0.480 | \n", - "0.531 | \n", - "0.000 | \n", - "0.000 | \n", - "921.0 | \n", - "1025.0 | \n", - "1.0 | \n", - "
a | \n", - "1.549 | \n", - "0.064 | \n", - "1.444 | \n", - "1.685 | \n", - "0.002 | \n", - "0.002 | \n", - "818.0 | \n", - "906.0 | \n", - "1.0 | \n", - "
v | \n", - "0.515 | \n", - "0.045 | \n", - "0.434 | \n", - "0.602 | \n", - "0.002 | \n", - "0.001 | \n", - "911.0 | \n", - "1179.0 | \n", - "1.0 | \n", - "
<xarray.Dataset>\n", - "Dimensions: (chain: 4, draw: 1000)\n", - "Coordinates:\n", - " * chain (chain) int64 0 1 2 3\n", - " * draw (draw) int64 0 1 2 3 4 5 6 7 8 ... 992 993 994 995 996 997 998 999\n", - "Data variables:\n", - " v (chain, draw) float32 0.5468 0.595 0.5559 ... 0.6032 0.5792 0.5976\n", - " a (chain, draw) float32 1.523 1.5 1.519 1.509 ... 1.485 1.514 1.459\n", - " z (chain, draw) float32 0.5007 0.4779 0.49 ... 0.4751 0.486 0.488\n", - "Attributes:\n", - " created_at: 2023-07-24T15:38:52.779867\n", - " arviz_version: 0.14.0\n", - " inference_library: pymc\n", - " inference_library_version: 5.6.1\n", - " sampling_time: 9.67597508430481\n", - " tuning_steps: 1000\n", - " modeling_interface: bambi\n", - " modeling_interface_version: 0.12.0
<xarray.Dataset>\n", - "Dimensions: (chain: 4, draw: 1000)\n", - "Coordinates:\n", - " * chain (chain) int64 0 1 2 3\n", - " * draw (draw) int64 0 1 2 3 4 5 ... 994 995 996 997 998 999\n", - "Data variables: (12/17)\n", - " step_size_bar (chain, draw) float64 0.7478 0.7478 ... 0.8128 0.8128\n", - " perf_counter_diff (chain, draw) float64 0.002876 0.004535 ... 0.005989\n", - " tree_depth (chain, draw) int64 2 3 3 3 3 2 3 3 ... 2 3 2 3 3 2 3\n", - " energy (chain, draw) float64 1.995e+03 ... 1.997e+03\n", - " lp (chain, draw) float64 -1.994e+03 ... -1.996e+03\n", - " energy_error (chain, draw) float64 -0.5372 -0.1048 ... 1.187\n", - " ... ...\n", - " n_steps (chain, draw) float64 3.0 5.0 7.0 7.0 ... 7.0 3.0 7.0\n", - " reached_max_treedepth (chain, draw) bool False False False ... False False\n", - " acceptance_rate (chain, draw) float64 0.9622 0.7987 ... 0.9912 0.4662\n", - " diverging (chain, draw) bool False False False ... False False\n", - " index_in_trajectory (chain, draw) int64 1 1 -1 5 1 -2 ... 2 3 5 -2 -2 -5\n", - " perf_counter_start (chain, draw) float64 176.8 176.8 ... 181.6 181.6\n", - "Attributes:\n", - " created_at: 2023-07-24T15:38:52.786806\n", - " arviz_version: 0.14.0\n", - " inference_library: pymc\n", - " inference_library_version: 5.6.1\n", - " sampling_time: 9.67597508430481\n", - " tuning_steps: 1000\n", - " modeling_interface: bambi\n", - " modeling_interface_version: 0.12.0
<xarray.Dataset>\n", - "Dimensions: (rt,response_obs: 1000, rt,response_extra_dim_0: 2)\n", - "Coordinates:\n", - " * rt,response_obs (rt,response_obs) int64 0 1 2 3 ... 996 997 998 999\n", - " * rt,response_extra_dim_0 (rt,response_extra_dim_0) int64 0 1\n", - "Data variables:\n", - " rt,response (rt,response_obs, rt,response_extra_dim_0) float32 ...\n", - "Attributes:\n", - " created_at: 2023-07-24T15:38:52.789340\n", - " arviz_version: 0.14.0\n", - " inference_library: pymc\n", - " inference_library_version: 5.6.1\n", - " modeling_interface: bambi\n", - " modeling_interface_version: 0.12.0
\n", - " | mean | \n", - "sd | \n", - "hdi_3% | \n", - "hdi_97% | \n", - "mcse_mean | \n", - "mcse_sd | \n", - "ess_bulk | \n", - "ess_tail | \n", - "r_hat | \n", - "
---|---|---|---|---|---|---|---|---|---|
v | \n", - "0.587 | \n", - "0.033 | \n", - "0.527 | \n", - "0.649 | \n", - "0.001 | \n", - "0.0 | \n", - "2890.0 | \n", - "3004.0 | \n", - "1.0 | \n", - "
a | \n", - "1.506 | \n", - "0.023 | \n", - "1.465 | \n", - "1.551 | \n", - "0.000 | \n", - "0.0 | \n", - "2940.0 | \n", - "2678.0 | \n", - "1.0 | \n", - "
z | \n", - "0.484 | \n", - "0.012 | \n", - "0.462 | \n", - "0.505 | \n", - "0.000 | \n", - "0.0 | \n", - "2743.0 | \n", - "2876.0 | \n", - "1.0 | \n", - "
\n", - " | rt | \n", - "response | \n", - "x | \n", - "y | \n", - "
---|---|---|---|---|
0 | \n", - "5.264837 | \n", - "-1.0 | \n", - "0.338945 | \n", - "0.168647 | \n", - "
1 | \n", - "1.758003 | \n", - "1.0 | \n", - "0.487726 | \n", - "0.247869 | \n", - "
2 | \n", - "1.631997 | \n", - "1.0 | \n", - "0.380329 | \n", - "0.273117 | \n", - "
3 | \n", - "2.863011 | \n", - "1.0 | \n", - "0.469289 | \n", - "0.221153 | \n", - "
4 | \n", - "6.930717 | \n", - "1.0 | \n", - "0.409888 | \n", - "0.312936 | \n", - "
... | \n", - "... | \n", - "... | \n", - "... | \n", - "... | \n", - "
995 | \n", - "3.819942 | \n", - "1.0 | \n", - "0.311293 | \n", - "0.388648 | \n", - "
996 | \n", - "3.338977 | \n", - "1.0 | \n", - "0.332113 | \n", - "0.255010 | \n", - "
997 | \n", - "1.635997 | \n", - "1.0 | \n", - "0.494849 | \n", - "0.313446 | \n", - "
998 | \n", - "1.009997 | \n", - "1.0 | \n", - "0.447463 | \n", - "0.146250 | \n", - "
999 | \n", - "1.612996 | \n", - "1.0 | \n", - "0.472667 | \n", - "0.103606 | \n", - "
1000 rows × 4 columns
\n", - "\n", - " | mean | \n", - "sd | \n", - "hdi_3% | \n", - "hdi_97% | \n", - "mcse_mean | \n", - "mcse_sd | \n", - "ess_bulk | \n", - "ess_tail | \n", - "r_hat | \n", - "
---|---|---|---|---|---|---|---|---|---|
a | \n", - "1.460 | \n", - "0.028 | \n", - "1.407 | \n", - "1.514 | \n", - "0.000 | \n", - "0.000 | \n", - "3851.0 | \n", - "2753.0 | \n", - "1.0 | \n", - "
t | \n", - "0.531 | \n", - "0.020 | \n", - "0.495 | \n", - "0.568 | \n", - "0.000 | \n", - "0.000 | \n", - "3657.0 | \n", - "2880.0 | \n", - "1.0 | \n", - "
z | \n", - "0.534 | \n", - "0.011 | \n", - "0.515 | \n", - "0.556 | \n", - "0.000 | \n", - "0.000 | \n", - "4265.0 | \n", - "2709.0 | \n", - "1.0 | \n", - "
v_Intercept | \n", - "0.168 | \n", - "0.066 | \n", - "0.039 | \n", - "0.296 | \n", - "0.001 | \n", - "0.001 | \n", - "4171.0 | \n", - "3463.0 | \n", - "1.0 | \n", - "
v_x | \n", - "0.810 | \n", - "0.154 | \n", - "0.527 | \n", - "1.000 | \n", - "0.002 | \n", - "0.002 | \n", - "3286.0 | \n", - "1810.0 | \n", - "1.0 | \n", - "
v_y | \n", - "0.179 | \n", - "0.149 | \n", - "0.000 | \n", - "0.448 | \n", - "0.002 | \n", - "0.002 | \n", - "3857.0 | \n", - "1875.0 | \n", - "1.0 | \n", - "
\n", - " | rt | \n", - "response | \n", - "
---|---|---|
0 | \n", - "2.473018 | \n", - "1.0 | \n", - "
1 | \n", - "2.118034 | \n", - "1.0 | \n", - "
2 | \n", - "0.673997 | \n", - "1.0 | \n", - "
3 | \n", - "0.970994 | \n", - "1.0 | \n", - "
4 | \n", - "2.474018 | \n", - "1.0 | \n", - "
... | \n", - "... | \n", - "... | \n", - "
495 | \n", - "1.446002 | \n", - "1.0 | \n", - "
496 | \n", - "2.397023 | \n", - "-1.0 | \n", - "
497 | \n", - "1.121992 | \n", - "1.0 | \n", - "
498 | \n", - "0.616998 | \n", - "1.0 | \n", - "
499 | \n", - "2.802994 | \n", - "1.0 | \n", - "
500 rows × 2 columns
\n", - "\n", - " | rt | \n", - "response | \n", - "
---|---|---|
0 | \n", - "2.726999 | \n", - "1.0 | \n", - "
1 | \n", - "1.912024 | \n", - "1.0 | \n", - "
2 | \n", - "0.840995 | \n", - "1.0 | \n", - "
3 | \n", - "2.552012 | \n", - "1.0 | \n", - "
4 | \n", - "5.597791 | \n", - "1.0 | \n", - "
... | \n", - "... | \n", - "... | \n", - "
995 | \n", - "1.676013 | \n", - "1.0 | \n", - "
996 | \n", - "6.156751 | \n", - "1.0 | \n", - "
997 | \n", - "4.182894 | \n", - "1.0 | \n", - "
998 | \n", - "3.758924 | \n", - "1.0 | \n", - "
999 | \n", - "1.096992 | \n", - "1.0 | \n", - "
1000 rows × 2 columns
\n", - "\n", - " | rt | \n", - "response | \n", - "
---|---|---|
0 | \n", - "2.473018 | \n", - "1.0 | \n", - "
1 | \n", - "2.118034 | \n", - "1.0 | \n", - "
2 | \n", - "0.673997 | \n", - "1.0 | \n", - "
3 | \n", - "0.970994 | \n", - "1.0 | \n", - "
4 | \n", - "2.474018 | \n", - "1.0 | \n", - "
... | \n", - "... | \n", - "... | \n", - "
495 | \n", - "1.446002 | \n", - "1.0 | \n", - "
496 | \n", - "2.397023 | \n", - "-1.0 | \n", - "
497 | \n", - "1.121992 | \n", - "1.0 | \n", - "
498 | \n", - "0.616998 | \n", - "1.0 | \n", - "
499 | \n", - "2.802994 | \n", - "1.0 | \n", - "
500 rows × 2 columns
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<xarray.Dataset>\n", - "Dimensions: (chain: 2, draw: 500, rt,response_obs: 500)\n", - "Coordinates:\n", - " * chain (chain) int64 0 1\n", - " * draw (draw) int64 0 1 2 3 4 5 6 ... 493 494 495 496 497 498 499\n", - " * rt,response_obs (rt,response_obs) int64 0 1 2 3 4 5 ... 495 496 497 498 499\n", - "Data variables:\n", - " rt,response (chain, draw, rt,response_obs) float32 -1.808 ... -2.088\n", - "Attributes:\n", - " created_at: 2023-07-03T04:31:06.401896\n", - " arviz_version: 0.14.0\n", - " modeling_interface: bambi\n", - " modeling_interface_version: 0.11.0
<xarray.Dataset>\n", - "Dimensions: (chain: 2, draw: 500)\n", - "Coordinates:\n", - " * chain (chain) int64 0 1\n", - " * draw (draw) int64 0 1 2 3 4 5 6 ... 493 494 495 496 497 498 499\n", - "Data variables:\n", - " acceptance_rate (chain, draw) float32 0.9764 0.9644 0.9801 ... 0.9811 0.717\n", - " step_size (chain, draw) float32 0.4352 0.4352 ... 0.3986 0.3986\n", - " diverging (chain, draw) bool False False False ... False False False\n", - " energy (chain, draw) float32 993.3 999.4 996.3 ... 994.5 993.3\n", - " n_steps (chain, draw) int32 3 7 3 7 15 15 7 7 ... 7 7 7 3 15 7 15 7\n", - " tree_depth (chain, draw) int64 2 3 2 3 4 4 3 3 3 ... 3 3 3 3 2 4 3 4 3\n", - " lp (chain, draw) float32 993.2 996.0 992.2 ... 991.0 992.0\n", - "Attributes:\n", - " created_at: 2023-07-03T04:31:06.398944\n", - " arviz_version: 0.14.0\n", - " modeling_interface: bambi\n", - " modeling_interface_version: 0.11.0
<xarray.Dataset>\n", - "Dimensions: (rt,response_obs: 500, rt,response_extra_dim_0: 2)\n", - "Coordinates:\n", - " * rt,response_obs (rt,response_obs) int64 0 1 2 3 ... 496 497 498 499\n", - " * rt,response_extra_dim_0 (rt,response_extra_dim_0) int64 0 1\n", - "Data variables:\n", - " rt,response (rt,response_obs, rt,response_extra_dim_0) float32 ...\n", - "Attributes:\n", - " created_at: 2023-07-03T04:31:06.402626\n", - " arviz_version: 0.14.0\n", - " inference_library: numpyro\n", - " inference_library_version: 0.12.1\n", - " sampling_time: 8.442077\n", - " modeling_interface: bambi\n", - " modeling_interface_version: 0.11.0
\n", - " | mean | \n", - "sd | \n", - "hdi_3% | \n", - "hdi_97% | \n", - "mcse_mean | \n", - "mcse_sd | \n", - "ess_bulk | \n", - "ess_tail | \n", - "r_hat | \n", - "
---|---|---|---|---|---|---|---|---|---|
t | \n", - "0.162 | \n", - "0.031 | \n", - "0.108 | \n", - "0.220 | \n", - "0.001 | \n", - "0.001 | \n", - "500.0 | \n", - "524.0 | \n", - "1.0 | \n", - "
z | \n", - "0.510 | \n", - "0.018 | \n", - "0.480 | \n", - "0.547 | \n", - "0.001 | \n", - "0.001 | \n", - "502.0 | \n", - "580.0 | \n", - "1.0 | \n", - "
a | \n", - "1.552 | \n", - "0.039 | \n", - "1.477 | \n", - "1.626 | \n", - "0.002 | \n", - "0.001 | \n", - "471.0 | \n", - "522.0 | \n", - "1.0 | \n", - "
v | \n", - "0.523 | \n", - "0.042 | \n", - "0.446 | \n", - "0.604 | \n", - "0.002 | \n", - "0.001 | \n", - "548.0 | \n", - "589.0 | \n", - "1.0 | \n", - "
<xarray.Dataset>\n", - "Dimensions: (chain: 2, draw: 500)\n", - "Coordinates:\n", - " * chain (chain) int64 0 1\n", - " * draw (draw) int64 0 1 2 3 4 5 6 7 8 ... 492 493 494 495 496 497 498 499\n", - "Data variables:\n", - " v (chain, draw) float32 0.5452 0.5487 0.5204 ... 0.5496 0.5421 0.539\n", - "Attributes:\n", - " created_at: 2023-07-03T04:31:54.628288\n", - " arviz_version: 0.14.0\n", - " modeling_interface: bambi\n", - " modeling_interface_version: 0.11.0
<xarray.Dataset>\n", - "Dimensions: (chain: 2, draw: 500)\n", - "Coordinates:\n", - " * chain (chain) int64 0 1\n", - " * draw (draw) int64 0 1 2 3 4 5 6 ... 493 494 495 496 497 498 499\n", - "Data variables:\n", - " acceptance_rate (chain, draw) float32 0.975 0.5356 0.9672 ... 0.961 1.0 1.0\n", - " step_size (chain, draw) float32 0.7765 0.7765 ... 0.8159 0.8159\n", - " diverging (chain, draw) bool False False False ... False False False\n", - " energy (chain, draw) float32 988.5 993.9 988.7 ... 988.4 988.4\n", - " n_steps (chain, draw) int32 3 3 7 3 1 3 3 1 3 ... 3 7 3 3 3 3 3 1 1\n", - " tree_depth (chain, draw) int64 2 2 3 2 1 2 2 1 2 ... 2 3 2 2 2 2 2 1 1\n", - " lp (chain, draw) float32 988.4 988.4 988.4 ... 988.4 988.3\n", - "Attributes:\n", - " created_at: 2023-07-03T04:31:54.632257\n", - " arviz_version: 0.14.0\n", - " modeling_interface: bambi\n", - " modeling_interface_version: 0.11.0
<xarray.Dataset>\n", - "Dimensions: (rt,response_obs: 500, rt,response_extra_dim_0: 2)\n", - "Coordinates:\n", - " * rt,response_obs (rt,response_obs) int64 0 1 2 3 ... 496 497 498 499\n", - " * rt,response_extra_dim_0 (rt,response_extra_dim_0) int64 0 1\n", - "Data variables:\n", - " rt,response (rt,response_obs, rt,response_extra_dim_0) float32 ...\n", - "Attributes:\n", - " created_at: 2023-07-03T04:31:54.635448\n", - " arviz_version: 0.14.0\n", - " inference_library: numpyro\n", - " inference_library_version: 0.12.1\n", - " sampling_time: 3.062814\n", - " modeling_interface: bambi\n", - " modeling_interface_version: 0.11.0
\n", - " | rt | \n", - "response | \n", - "x | \n", - "y | \n", - "
---|---|---|---|---|
0 | \n", - "1.503991 | \n", - "1 | \n", - "0.987241 | \n", - "-0.164730 | \n", - "
1 | \n", - "9.332939 | \n", - "1 | \n", - "-0.545769 | \n", - "0.843689 | \n", - "
2 | \n", - "1.882009 | \n", - "-1 | \n", - "-0.366608 | \n", - "-0.697819 | \n", - "
3 | \n", - "3.070996 | \n", - "-1 | \n", - "0.022943 | \n", - "-0.593107 | \n", - "
4 | \n", - "2.622029 | \n", - "1 | \n", - "-0.338157 | \n", - "0.108399 | \n", - "
... | \n", - "... | \n", - "... | \n", - "... | \n", - "... | \n", - "
995 | \n", - "1.905010 | \n", - "1 | \n", - "0.181371 | \n", - "-0.893897 | \n", - "
996 | \n", - "1.264994 | \n", - "1 | \n", - "-0.339303 | \n", - "0.715871 | \n", - "
997 | \n", - "3.414971 | \n", - "1 | \n", - "0.622677 | \n", - "-0.971313 | \n", - "
998 | \n", - "2.791016 | \n", - "-1 | \n", - "-0.147663 | \n", - "0.749702 | \n", - "
999 | \n", - "0.737000 | \n", - "1 | \n", - "-0.024802 | \n", - "0.800126 | \n", - "
1000 rows × 4 columns
\n", - "\n", - " | mean | \n", - "sd | \n", - "hdi_3% | \n", - "hdi_97% | \n", - "mcse_mean | \n", - "mcse_sd | \n", - "ess_bulk | \n", - "ess_tail | \n", - "r_hat | \n", - "
---|---|---|---|---|---|---|---|---|---|
t | \n", - "0.481 | \n", - "0.014 | \n", - "0.458 | \n", - "0.500 | \n", - "0.001 | \n", - "0.001 | \n", - "239.0 | \n", - "145.0 | \n", - "NaN | \n", - "
z | \n", - "0.483 | \n", - "0.011 | \n", - "0.463 | \n", - "0.507 | \n", - "0.001 | \n", - "0.000 | \n", - "440.0 | \n", - "429.0 | \n", - "NaN | \n", - "
a | \n", - "1.535 | \n", - "0.023 | \n", - "1.494 | \n", - "1.577 | \n", - "0.001 | \n", - "0.001 | \n", - "444.0 | \n", - "382.0 | \n", - "NaN | \n", - "
v_Intercept | \n", - "0.299 | \n", - "0.029 | \n", - "0.245 | \n", - "0.352 | \n", - "0.001 | \n", - "0.001 | \n", - "460.0 | \n", - "353.0 | \n", - "NaN | \n", - "
v_x | \n", - "0.750 | \n", - "0.039 | \n", - "0.683 | \n", - "0.825 | \n", - "0.002 | \n", - "0.001 | \n", - "403.0 | \n", - "282.0 | \n", - "NaN | \n", - "
v_y | \n", - "0.267 | \n", - "0.038 | \n", - "0.208 | \n", - "0.348 | \n", - "0.002 | \n", - "0.001 | \n", - "395.0 | \n", - "312.0 | \n", - "NaN | \n", - "
\n", - " | mean | \n", - "sd | \n", - "hdi_3% | \n", - "hdi_97% | \n", - "mcse_mean | \n", - "mcse_sd | \n", - "ess_bulk | \n", - "ess_tail | \n", - "r_hat | \n", - "
---|---|---|---|---|---|---|---|---|---|
t | \n", - "0.501 | \n", - "0.023 | \n", - "0.460 | \n", - "0.544 | \n", - "0.001 | \n", - "0.000 | \n", - "1411.0 | \n", - "1434.0 | \n", - "1.0 | \n", - "
theta | \n", - "0.003 | \n", - "0.015 | \n", - "-0.024 | \n", - "0.031 | \n", - "0.000 | \n", - "0.000 | \n", - "1523.0 | \n", - "1481.0 | \n", - "1.0 | \n", - "
z | \n", - "0.487 | \n", - "0.011 | \n", - "0.465 | \n", - "0.508 | \n", - "0.000 | \n", - "0.000 | \n", - "1302.0 | \n", - "1414.0 | \n", - "1.0 | \n", - "
v_Intercept | \n", - "0.294 | \n", - "0.029 | \n", - "0.237 | \n", - "0.343 | \n", - "0.001 | \n", - "0.001 | \n", - "1463.0 | \n", - "1490.0 | \n", - "1.0 | \n", - "
v_x | \n", - "0.764 | \n", - "0.042 | \n", - "0.689 | \n", - "0.845 | \n", - "0.001 | \n", - "0.001 | \n", - "1411.0 | \n", - "1110.0 | \n", - "1.0 | \n", - "
v_y | \n", - "0.265 | \n", - "0.040 | \n", - "0.188 | \n", - "0.336 | \n", - "0.001 | \n", - "0.001 | \n", - "2210.0 | \n", - "1601.0 | \n", - "1.0 | \n", - "
a_Intercept | \n", - "1.513 | \n", - "0.041 | \n", - "1.437 | \n", - "1.589 | \n", - "0.001 | \n", - "0.001 | \n", - "1293.0 | \n", - "1572.0 | \n", - "1.0 | \n", - "
a_x | \n", - "0.037 | \n", - "0.038 | \n", - "-0.036 | \n", - "0.106 | \n", - "0.001 | \n", - "0.001 | \n", - "1770.0 | \n", - "1280.0 | \n", - "1.0 | \n", - "
a_y | \n", - "-0.039 | \n", - "0.035 | \n", - "-0.105 | \n", - "0.027 | \n", - "0.001 | \n", - "0.001 | \n", - "2052.0 | \n", - "1369.0 | \n", - "1.0 | \n", - "
\n", - " | rt | \n", - "response | \n", - "x | \n", - "y | \n", - "subject | \n", - "
---|---|---|---|---|---|
0 | \n", - "1.475991 | \n", - "1 | \n", - "-0.737482 | \n", - "-0.476378 | \n", - "0 | \n", - "
1 | \n", - "1.564994 | \n", - "1 | \n", - "-0.390625 | \n", - "-0.383409 | \n", - "0 | \n", - "
2 | \n", - "0.806000 | \n", - "1 | \n", - "0.619779 | \n", - "0.214046 | \n", - "0 | \n", - "
3 | \n", - "1.771003 | \n", - "1 | \n", - "-0.639472 | \n", - "-0.828159 | \n", - "0 | \n", - "
4 | \n", - "0.796000 | \n", - "1 | \n", - "-0.561593 | \n", - "0.257149 | \n", - "0 | \n", - "
... | \n", - "... | \n", - "... | \n", - "... | \n", - "... | \n", - "... | \n", - "
195 | \n", - "2.999001 | \n", - "1 | \n", - "0.043318 | \n", - "-0.343596 | \n", - "14 | \n", - "
196 | \n", - "0.948998 | \n", - "1 | \n", - "0.969974 | \n", - "-0.950022 | \n", - "14 | \n", - "
197 | \n", - "2.033016 | \n", - "1 | \n", - "0.309878 | \n", - "0.939296 | \n", - "14 | \n", - "
198 | \n", - "3.153990 | \n", - "1 | \n", - "0.878663 | \n", - "-0.867576 | \n", - "14 | \n", - "
199 | \n", - "3.354975 | \n", - "1 | \n", - "-0.718933 | \n", - "0.588752 | \n", - "14 | \n", - "
3000 rows × 5 columns
\n", - "<xarray.Dataset>\n", - "Dimensions: (chain: 2, draw: 1000, v_1|subject__factor_dim: 15)\n", - "Coordinates:\n", - " * chain (chain) int64 0 1\n", - " * draw (draw) int64 0 1 2 3 4 5 ... 995 996 997 998 999\n", - " * v_1|subject__factor_dim (v_1|subject__factor_dim) <U2 '0' '1' ... '13' '14'\n", - "Data variables:\n", - " t (chain, draw) float32 0.4843 0.4835 ... 0.5273\n", - " theta (chain, draw) float32 0.03127 0.02406 ... 0.007744\n", - " z (chain, draw) float32 0.4851 0.4853 ... 0.4959\n", - " a (chain, draw) float32 1.512 1.505 ... 1.475 1.461\n", - " v_Intercept (chain, draw) float64 0.6398 0.6387 ... 0.6113\n", - " v_x (chain, draw) float32 0.7371 0.7081 ... 0.7581\n", - " v_y (chain, draw) float32 0.26 0.2715 ... 0.2872 0.296\n", - " v_1|subject_sigma (chain, draw) float32 0.6829 0.6953 ... 0.7439\n", - " v_1|subject (chain, draw, v_1|subject__factor_dim) float32 0...\n", - "Attributes:\n", - " created_at: 2023-07-03T04:39:46.871123\n", - " arviz_version: 0.14.0\n", - " modeling_interface: bambi\n", - " modeling_interface_version: 0.11.0
<xarray.Dataset>\n", - "Dimensions: (chain: 2, draw: 1000)\n", - "Coordinates:\n", - " * chain (chain) int64 0 1\n", - " * draw (draw) int64 0 1 2 3 4 5 6 ... 993 994 995 996 997 998 999\n", - "Data variables:\n", - " acceptance_rate (chain, draw) float32 0.9987 0.9693 ... 0.9724 0.8923\n", - " step_size (chain, draw) float32 0.08691 0.08691 ... 0.07833 0.07833\n", - " diverging (chain, draw) bool False False False ... False False False\n", - " energy (chain, draw) float32 5.175e+03 5.172e+03 ... 5.169e+03\n", - " n_steps (chain, draw) int32 31 31 15 7 63 31 ... 31 31 31 63 47 23\n", - " tree_depth (chain, draw) int64 5 5 4 3 6 5 4 7 6 ... 6 4 6 5 5 5 6 6 5\n", - " lp (chain, draw) float32 5.161e+03 5.158e+03 ... 5.155e+03\n", - "Attributes:\n", - " created_at: 2023-07-03T04:39:46.879416\n", - " arviz_version: 0.14.0\n", - " modeling_interface: bambi\n", - " modeling_interface_version: 0.11.0
<xarray.Dataset>\n", - "Dimensions: (rt,response_obs: 3000, rt,response_extra_dim_0: 2)\n", - "Coordinates:\n", - " * rt,response_obs (rt,response_obs) int64 0 1 2 3 ... 2997 2998 2999\n", - " * rt,response_extra_dim_0 (rt,response_extra_dim_0) int64 0 1\n", - "Data variables:\n", - " rt,response (rt,response_obs, rt,response_extra_dim_0) float32 ...\n", - "Attributes:\n", - " created_at: 2023-07-03T04:39:46.882426\n", - " arviz_version: 0.14.0\n", - " inference_library: numpyro\n", - " inference_library_version: 0.12.1\n", - " sampling_time: 359.389051\n", - " modeling_interface: bambi\n", - " modeling_interface_version: 0.11.0
\n", - " | rank | \n", - "elpd_loo | \n", - "p_loo | \n", - "elpd_diff | \n", - "weight | \n", - "se | \n", - "dse | \n", - "warning | \n", - "scale | \n", - "
---|---|---|---|---|---|---|---|---|---|
a_fixed_1.5(correct) | \n", - "0 | \n", - "-985.554889 | \n", - "4.060042 | \n", - "0.000000 | \n", - "1.0 | \n", - "23.828400 | \n", - "0.000000 | \n", - "False | \n", - "log | \n", - "
a_fixed_1(wrong) | \n", - "1 | \n", - "-1084.039875 | \n", - "5.314427 | \n", - "98.484986 | \n", - "0.0 | \n", - "32.495188 | \n", - "13.738801 | \n", - "True | \n", - "log | \n", - "
<xarray.Dataset>\n", - "Dimensions: (chain: 2, draw: 1000)\n", - "Coordinates:\n", - " * chain (chain) int64 0 1\n", - " * draw (draw) int64 0 1 2 3 4 5 6 7 8 ... 992 993 994 995 996 997 998 999\n", - "Data variables:\n", - " t (chain, draw) float32 0.07699 0.1122 0.09636 ... 0.1755 0.1386\n", - " z (chain, draw) float32 0.4891 0.4894 0.4886 ... 0.5151 0.513 0.4863\n", - " a (chain, draw) float32 1.651 1.584 1.565 1.488 ... 1.54 1.526 1.559\n", - " v (chain, draw) float32 0.5937 0.5545 0.5784 ... 0.4625 0.4869 0.5506\n", - "Attributes:\n", - " created_at: 2023-07-03T04:40:57.704499\n", - " arviz_version: 0.14.0\n", - " modeling_interface: bambi\n", - " modeling_interface_version: 0.11.0
<xarray.Dataset>\n", - "Dimensions: (chain: 2, draw: 1000)\n", - "Coordinates:\n", - " * chain (chain) int64 0 1\n", - " * draw (draw) int64 0 1 2 3 4 5 6 ... 993 994 995 996 997 998 999\n", - "Data variables:\n", - " acceptance_rate (chain, draw) float32 0.9465 0.9875 ... 0.9906 0.9699\n", - " step_size (chain, draw) float32 0.3878 0.3878 ... 0.4634 0.4634\n", - " diverging (chain, draw) bool False False False ... False False False\n", - " energy (chain, draw) float32 997.6 996.2 993.3 ... 992.9 992.3\n", - " n_steps (chain, draw) int32 11 7 3 15 7 15 3 7 ... 7 7 3 3 7 7 7 15\n", - " tree_depth (chain, draw) int64 4 3 2 4 3 4 2 3 2 ... 2 3 3 2 2 3 3 3 4\n", - " lp (chain, draw) float32 995.6 992.0 993.0 ... 990.7 991.5\n", - "Attributes:\n", - " created_at: 2023-07-03T04:40:57.708671\n", - " arviz_version: 0.14.0\n", - " modeling_interface: bambi\n", - " modeling_interface_version: 0.11.0
<xarray.Dataset>\n", - "Dimensions: (rt,response_obs: 500, rt,response_extra_dim_0: 2)\n", - "Coordinates:\n", - " * rt,response_obs (rt,response_obs) int64 0 1 2 3 ... 496 497 498 499\n", - " * rt,response_extra_dim_0 (rt,response_extra_dim_0) int64 0 1\n", - "Data variables:\n", - " rt,response (rt,response_obs, rt,response_extra_dim_0) float32 ...\n", - "Attributes:\n", - " created_at: 2023-07-03T04:40:57.711327\n", - " arviz_version: 0.14.0\n", - " inference_library: numpyro\n", - " inference_library_version: 0.12.1\n", - " sampling_time: 21.904384\n", - " modeling_interface: bambi\n", - " modeling_interface_version: 0.11.0
\n", - " | rt | \n", - "response | \n", - "
---|---|---|
0 | \n", - "3.557961 | \n", - "-1.0 | \n", - "
1 | \n", - "1.649998 | \n", - "1.0 | \n", - "
2 | \n", - "4.017927 | \n", - "1.0 | \n", - "
3 | \n", - "2.122020 | \n", - "-1.0 | \n", - "
4 | \n", - "1.224994 | \n", - "1.0 | \n", - "
... | \n", - "... | \n", - "... | \n", - "
995 | \n", - "2.757019 | \n", - "1.0 | \n", - "
996 | \n", - "3.664953 | \n", - "1.0 | \n", - "
997 | \n", - "0.972997 | \n", - "1.0 | \n", - "
998 | \n", - "2.040016 | \n", - "1.0 | \n", - "
999 | \n", - "1.544993 | \n", - "1.0 | \n", - "
1000 rows × 2 columns
\n", - "\n", - " | mean | \n", - "sd | \n", - "hdi_3% | \n", - "hdi_97% | \n", - "mcse_mean | \n", - "mcse_sd | \n", - "ess_bulk | \n", - "ess_tail | \n", - "r_hat | \n", - "
---|---|---|---|---|---|---|---|---|---|
t | \n", - "0.460 | \n", - "0.022 | \n", - "0.417 | \n", - "0.499 | \n", - "0.001 | \n", - "0.000 | \n", - "1229.0 | \n", - "1314.0 | \n", - "1.0 | \n", - "
z | \n", - "0.477 | \n", - "0.012 | \n", - "0.454 | \n", - "0.499 | \n", - "0.000 | \n", - "0.000 | \n", - "1490.0 | \n", - "2389.0 | \n", - "1.0 | \n", - "
a | \n", - "1.546 | \n", - "0.027 | \n", - "1.495 | \n", - "1.596 | \n", - "0.001 | \n", - "0.001 | \n", - "1384.0 | \n", - "1768.0 | \n", - "1.0 | \n", - "
v | \n", - "0.557 | \n", - "0.029 | \n", - "0.501 | \n", - "0.611 | \n", - "0.001 | \n", - "0.001 | \n", - "1504.0 | \n", - "2019.0 | \n", - "1.0 | \n", - "
\n", + " | rt | \n", + "response | \n", + "
---|---|---|
0 | \n", + "2.176036 | \n", + "1.0 | \n", + "
1 | \n", + "0.442000 | \n", + "-1.0 | \n", + "
2 | \n", + "1.410001 | \n", + "1.0 | \n", + "
3 | \n", + "1.432002 | \n", + "1.0 | \n", + "
4 | \n", + "3.154968 | \n", + "1.0 | \n", + "
... | \n", + "... | \n", + "... | \n", + "
495 | \n", + "4.303885 | \n", + "1.0 | \n", + "
496 | \n", + "2.991980 | \n", + "1.0 | \n", + "
497 | \n", + "2.016029 | \n", + "1.0 | \n", + "
498 | \n", + "1.649012 | \n", + "-1.0 | \n", + "
499 | \n", + "1.236992 | \n", + "1.0 | \n", + "
500 rows × 2 columns
\n", + "\n", + " | rt | \n", + "response | \n", + "
---|---|---|
0 | \n", + "4.111899 | \n", + "1.0 | \n", + "
1 | \n", + "3.784923 | \n", + "1.0 | \n", + "
2 | \n", + "2.606008 | \n", + "1.0 | \n", + "
3 | \n", + "1.688014 | \n", + "1.0 | \n", + "
4 | \n", + "2.015029 | \n", + "1.0 | \n", + "
... | \n", + "... | \n", + "... | \n", + "
995 | \n", + "0.730997 | \n", + "1.0 | \n", + "
996 | \n", + "9.102967 | \n", + "1.0 | \n", + "
997 | \n", + "2.500016 | \n", + "1.0 | \n", + "
998 | \n", + "3.349954 | \n", + "1.0 | \n", + "
999 | \n", + "3.854918 | \n", + "1.0 | \n", + "
1000 rows × 2 columns
\n", + "\n", + " | rt | \n", + "response | \n", + "
---|---|---|
0 | \n", + "1.184991 | \n", + "1.0 | \n", + "
1 | \n", + "0.521999 | \n", + "-1.0 | \n", + "
2 | \n", + "2.011029 | \n", + "-1.0 | \n", + "
3 | \n", + "2.463018 | \n", + "1.0 | \n", + "
4 | \n", + "3.616935 | \n", + "1.0 | \n", + "
... | \n", + "... | \n", + "... | \n", + "
495 | \n", + "2.664004 | \n", + "-1.0 | \n", + "
496 | \n", + "1.453003 | \n", + "1.0 | \n", + "
497 | \n", + "1.907024 | \n", + "1.0 | \n", + "
498 | \n", + "2.202037 | \n", + "1.0 | \n", + "
499 | \n", + "1.986027 | \n", + "1.0 | \n", + "
500 rows × 2 columns
\n", + "<xarray.Dataset>\n", + "Dimensions: (chain: 2, draw: 500)\n", + "Coordinates:\n", + " * chain (chain) int64 0 1\n", + " * draw (draw) int64 0 1 2 3 4 5 6 7 8 ... 492 493 494 495 496 497 498 499\n", + "Data variables:\n", + " v (chain, draw) float32 0.6979 0.5972 0.5965 ... 0.6505 0.6349 0.6251\n", + " a (chain, draw) float32 1.486 1.505 1.456 1.436 ... 1.468 1.476 1.525\n", + " z (chain, draw) float32 0.4355 0.4788 0.4568 ... 0.4432 0.4515 0.466\n", + " t (chain, draw) float32 0.234 0.2586 0.2608 ... 0.2235 0.2355 0.2314\n", + "Attributes:\n", + " created_at: 2023-07-26T20:56:59.877458\n", + " arviz_version: 0.14.0\n", + " modeling_interface: bambi\n", + " modeling_interface_version: 0.12.0
<xarray.Dataset>\n", + "Dimensions: (chain: 2, draw: 500, rt,response_obs: 500)\n", + "Coordinates:\n", + " * chain (chain) int64 0 1\n", + " * draw (draw) int64 0 1 2 3 4 5 6 ... 493 494 495 496 497 498 499\n", + " * rt,response_obs (rt,response_obs) int64 0 1 2 3 4 5 ... 495 496 497 498 499\n", + "Data variables:\n", + " rt,response (chain, draw, rt,response_obs) float32 -0.9061 ... -1.406\n", + "Attributes:\n", + " created_at: 2023-07-26T20:56:59.880817\n", + " arviz_version: 0.14.0\n", + " modeling_interface: bambi\n", + " modeling_interface_version: 0.12.0
<xarray.Dataset>\n", + "Dimensions: (chain: 2, draw: 500)\n", + "Coordinates:\n", + " * chain (chain) int64 0 1\n", + " * draw (draw) int64 0 1 2 3 4 5 6 ... 493 494 495 496 497 498 499\n", + "Data variables:\n", + " acceptance_rate (chain, draw) float32 0.9133 0.9322 ... 0.9941 0.9375\n", + " step_size (chain, draw) float32 0.4338 0.4338 ... 0.4263 0.4263\n", + " diverging (chain, draw) bool False False False ... False False False\n", + " energy (chain, draw) float32 989.9 988.2 990.1 ... 987.2 987.8\n", + " n_steps (chain, draw) int32 11 15 15 3 15 7 15 ... 7 7 7 11 15 7 7\n", + " tree_depth (chain, draw) int64 4 4 4 2 4 3 4 3 3 ... 3 2 3 3 3 4 4 3 3\n", + " lp (chain, draw) float32 987.1 987.4 986.5 ... 986.0 986.7\n", + "Attributes:\n", + " created_at: 2023-07-26T20:56:59.879527\n", + " arviz_version: 0.14.0\n", + " modeling_interface: bambi\n", + " modeling_interface_version: 0.12.0
<xarray.Dataset>\n", + "Dimensions: (rt,response_obs: 500, rt,response_extra_dim_0: 2)\n", + "Coordinates:\n", + " * rt,response_obs (rt,response_obs) int64 0 1 2 3 ... 496 497 498 499\n", + " * rt,response_extra_dim_0 (rt,response_extra_dim_0) int64 0 1\n", + "Data variables:\n", + " rt,response (rt,response_obs, rt,response_extra_dim_0) float32 ...\n", + "Attributes:\n", + " created_at: 2023-07-26T20:56:59.881124\n", + " arviz_version: 0.14.0\n", + " inference_library: numpyro\n", + " inference_library_version: 0.12.1\n", + " sampling_time: 5.380796\n", + " modeling_interface: bambi\n", + " modeling_interface_version: 0.12.0
\n", + " | mean | \n", + "sd | \n", + "hdi_3% | \n", + "hdi_97% | \n", + "mcse_mean | \n", + "mcse_sd | \n", + "ess_bulk | \n", + "ess_tail | \n", + "r_hat | \n", + "
---|---|---|---|---|---|---|---|---|---|
v | \n", + "0.626 | \n", + "0.048 | \n", + "0.535 | \n", + "0.714 | \n", + "0.002 | \n", + "0.002 | \n", + "387.0 | \n", + "597.0 | \n", + "1.0 | \n", + "
a | \n", + "1.486 | \n", + "0.042 | \n", + "1.411 | \n", + "1.568 | \n", + "0.002 | \n", + "0.001 | \n", + "462.0 | \n", + "530.0 | \n", + "1.0 | \n", + "
z | \n", + "0.458 | \n", + "0.018 | \n", + "0.425 | \n", + "0.491 | \n", + "0.001 | \n", + "0.001 | \n", + "448.0 | \n", + "702.0 | \n", + "1.0 | \n", + "
t | \n", + "0.232 | \n", + "0.034 | \n", + "0.168 | \n", + "0.295 | \n", + "0.001 | \n", + "0.001 | \n", + "591.0 | \n", + "574.0 | \n", + "1.0 | \n", + "
<xarray.Dataset>\n", + "Dimensions: (chain: 2, draw: 500)\n", + "Coordinates:\n", + " * chain (chain) int64 0 1\n", + " * draw (draw) int64 0 1 2 3 4 5 6 7 8 ... 492 493 494 495 496 497 498 499\n", + "Data variables:\n", + " v (chain, draw) float32 0.5621 0.4443 0.4558 ... 0.515 0.5221 0.5381\n", + "Attributes:\n", + " created_at: 2023-07-26T20:57:23.880486\n", + " arviz_version: 0.14.0\n", + " modeling_interface: bambi\n", + " modeling_interface_version: 0.12.0
<xarray.Dataset>\n", + "Dimensions: (chain: 2, draw: 500)\n", + "Coordinates:\n", + " * chain (chain) int64 0 1\n", + " * draw (draw) int64 0 1 2 3 4 5 6 ... 493 494 495 496 497 498 499\n", + "Data variables:\n", + " acceptance_rate (chain, draw) float32 0.957 0.5771 1.0 ... 1.0 0.9994\n", + " step_size (chain, draw) float32 1.043 1.043 1.043 ... 1.056 1.056\n", + " diverging (chain, draw) bool False False False ... False False False\n", + " energy (chain, draw) float32 987.2 991.6 991.1 ... 986.9 986.7\n", + " n_steps (chain, draw) int32 3 3 1 1 1 3 3 1 1 ... 1 1 1 3 3 1 1 1 3\n", + " tree_depth (chain, draw) int64 2 2 1 1 1 2 2 1 1 ... 1 1 1 2 2 1 1 1 2\n", + " lp (chain, draw) float32 986.6 990.6 989.7 ... 986.8 986.6\n", + "Attributes:\n", + " created_at: 2023-07-26T20:57:23.881939\n", + " arviz_version: 0.14.0\n", + " modeling_interface: bambi\n", + " modeling_interface_version: 0.12.0
<xarray.Dataset>\n", + "Dimensions: (rt,response_obs: 500, rt,response_extra_dim_0: 2)\n", + "Coordinates:\n", + " * rt,response_obs (rt,response_obs) int64 0 1 2 3 ... 496 497 498 499\n", + " * rt,response_extra_dim_0 (rt,response_extra_dim_0) int64 0 1\n", + "Data variables:\n", + " rt,response (rt,response_obs, rt,response_extra_dim_0) float32 ...\n", + "Attributes:\n", + " created_at: 2023-07-26T20:57:23.883164\n", + " arviz_version: 0.14.0\n", + " inference_library: numpyro\n", + " inference_library_version: 0.12.1\n", + " sampling_time: 1.08404\n", + " modeling_interface: bambi\n", + " modeling_interface_version: 0.12.0
\n", + " | rt | \n", + "response | \n", + "x | \n", + "y | \n", + "
---|---|---|---|---|
0 | \n", + "2.900008 | \n", + "-1 | \n", + "0.635377 | \n", + "0.554039 | \n", + "
1 | \n", + "4.600885 | \n", + "1 | \n", + "-0.231897 | \n", + "0.851995 | \n", + "
2 | \n", + "0.926998 | \n", + "1 | \n", + "0.973198 | \n", + "-0.213616 | \n", + "
3 | \n", + "1.402992 | \n", + "-1 | \n", + "-0.095146 | \n", + "-0.750994 | \n", + "
4 | \n", + "0.819999 | \n", + "1 | \n", + "0.616699 | \n", + "0.862809 | \n", + "
... | \n", + "... | \n", + "... | \n", + "... | \n", + "... | \n", + "
995 | \n", + "2.315029 | \n", + "1 | \n", + "0.646343 | \n", + "-0.875406 | \n", + "
996 | \n", + "2.448035 | \n", + "-1 | \n", + "-0.600824 | \n", + "-0.707715 | \n", + "
997 | \n", + "2.984002 | \n", + "1 | \n", + "0.415629 | \n", + "-0.423848 | \n", + "
998 | \n", + "3.313978 | \n", + "-1 | \n", + "-0.149636 | \n", + "-0.974525 | \n", + "
999 | \n", + "2.499037 | \n", + "1 | \n", + "0.612734 | \n", + "0.115970 | \n", + "
1000 rows × 4 columns
\n", + "\n", + " | mean | \n", + "sd | \n", + "hdi_3% | \n", + "hdi_97% | \n", + "mcse_mean | \n", + "mcse_sd | \n", + "ess_bulk | \n", + "ess_tail | \n", + "r_hat | \n", + "
---|---|---|---|---|---|---|---|---|---|
a | \n", + "1.455 | \n", + "0.027 | \n", + "1.405 | \n", + "1.505 | \n", + "0.001 | \n", + "0.001 | \n", + "479.0 | \n", + "411.0 | \n", + "NaN | \n", + "
z | \n", + "0.504 | \n", + "0.013 | \n", + "0.479 | \n", + "0.528 | \n", + "0.001 | \n", + "0.000 | \n", + "378.0 | \n", + "360.0 | \n", + "NaN | \n", + "
t | \n", + "0.546 | \n", + "0.019 | \n", + "0.511 | \n", + "0.583 | \n", + "0.001 | \n", + "0.001 | \n", + "350.0 | \n", + "349.0 | \n", + "NaN | \n", + "
v_Intercept | \n", + "0.351 | \n", + "0.036 | \n", + "0.276 | \n", + "0.410 | \n", + "0.002 | \n", + "0.001 | \n", + "373.0 | \n", + "232.0 | \n", + "NaN | \n", + "
v_x | \n", + "0.838 | \n", + "0.050 | \n", + "0.749 | \n", + "0.942 | \n", + "0.002 | \n", + "0.002 | \n", + "459.0 | \n", + "360.0 | \n", + "NaN | \n", + "
v_y | \n", + "0.346 | \n", + "0.045 | \n", + "0.253 | \n", + "0.423 | \n", + "0.002 | \n", + "0.001 | \n", + "592.0 | \n", + "323.0 | \n", + "NaN | \n", + "
\n", + " | mean | \n", + "sd | \n", + "hdi_3% | \n", + "hdi_97% | \n", + "mcse_mean | \n", + "mcse_sd | \n", + "ess_bulk | \n", + "ess_tail | \n", + "r_hat | \n", + "
---|---|---|---|---|---|---|---|---|---|
theta | \n", + "-0.031 | \n", + "0.019 | \n", + "-0.064 | \n", + "0.007 | \n", + "0.001 | \n", + "0.000 | \n", + "1038.0 | \n", + "880.0 | \n", + "1.00 | \n", + "
z | \n", + "0.505 | \n", + "0.013 | \n", + "0.481 | \n", + "0.529 | \n", + "0.000 | \n", + "0.000 | \n", + "1437.0 | \n", + "1515.0 | \n", + "1.00 | \n", + "
t | \n", + "0.575 | \n", + "0.023 | \n", + "0.537 | \n", + "0.620 | \n", + "0.001 | \n", + "0.000 | \n", + "1203.0 | \n", + "1244.0 | \n", + "1.01 | \n", + "
v_Intercept | \n", + "0.352 | \n", + "0.035 | \n", + "0.281 | \n", + "0.414 | \n", + "0.001 | \n", + "0.001 | \n", + "1421.0 | \n", + "1483.0 | \n", + "1.00 | \n", + "
v_x | \n", + "0.855 | \n", + "0.051 | \n", + "0.762 | \n", + "0.954 | \n", + "0.001 | \n", + "0.001 | \n", + "1175.0 | \n", + "573.0 | \n", + "1.00 | \n", + "
... | \n", + "... | \n", + "... | \n", + "... | \n", + "... | \n", + "... | \n", + "... | \n", + "... | \n", + "... | \n", + "... | \n", + "
a[995] | \n", + "1.391 | \n", + "0.058 | \n", + "1.286 | \n", + "1.504 | \n", + "0.002 | \n", + "0.001 | \n", + "1195.0 | \n", + "1209.0 | \n", + "1.00 | \n", + "
a[996] | \n", + "1.384 | \n", + "0.051 | \n", + "1.292 | \n", + "1.481 | \n", + "0.001 | \n", + "0.001 | \n", + "1328.0 | \n", + "1281.0 | \n", + "1.00 | \n", + "
a[997] | \n", + "1.387 | \n", + "0.048 | \n", + "1.291 | \n", + "1.474 | \n", + "0.002 | \n", + "0.001 | \n", + "988.0 | \n", + "993.0 | \n", + "1.00 | \n", + "
a[998] | \n", + "1.388 | \n", + "0.053 | \n", + "1.292 | \n", + "1.490 | \n", + "0.001 | \n", + "0.001 | \n", + "1279.0 | \n", + "1145.0 | \n", + "1.00 | \n", + "
a[999] | \n", + "1.384 | \n", + "0.052 | \n", + "1.283 | \n", + "1.485 | \n", + "0.002 | \n", + "0.001 | \n", + "974.0 | \n", + "1075.0 | \n", + "1.00 | \n", + "
1009 rows × 9 columns
\n", + "\n", + " | rt | \n", + "response | \n", + "x | \n", + "y | \n", + "subject | \n", + "
---|---|---|---|---|---|
0 | \n", + "2.211024 | \n", + "1 | \n", + "-0.574489 | \n", + "0.832214 | \n", + "0 | \n", + "
1 | \n", + "1.389992 | \n", + "1 | \n", + "0.240774 | \n", + "0.705319 | \n", + "0 | \n", + "
2 | \n", + "2.492037 | \n", + "-1 | \n", + "-0.260342 | \n", + "-0.238567 | \n", + "0 | \n", + "
3 | \n", + "1.655998 | \n", + "-1 | \n", + "-0.081533 | \n", + "-0.817907 | \n", + "0 | \n", + "
4 | \n", + "1.473991 | \n", + "1 | \n", + "-0.123293 | \n", + "0.122203 | \n", + "0 | \n", + "
... | \n", + "... | \n", + "... | \n", + "... | \n", + "... | \n", + "... | \n", + "
195 | \n", + "1.349993 | \n", + "1 | \n", + "0.478724 | \n", + "-0.626111 | \n", + "14 | \n", + "
196 | \n", + "2.228025 | \n", + "1 | \n", + "-0.653861 | \n", + "0.697981 | \n", + "14 | \n", + "
197 | \n", + "2.013015 | \n", + "1 | \n", + "-0.043805 | \n", + "-0.524689 | \n", + "14 | \n", + "
198 | \n", + "1.145995 | \n", + "1 | \n", + "0.262261 | \n", + "-0.163485 | \n", + "14 | \n", + "
199 | \n", + "3.389973 | \n", + "1 | \n", + "0.122848 | \n", + "0.409093 | \n", + "14 | \n", + "
3000 rows × 5 columns
\n", + "<xarray.Dataset>\n", + "Dimensions: (chain: 2, draw: 1000, v_1|subject__factor_dim: 15)\n", + "Coordinates:\n", + " * chain (chain) int64 0 1\n", + " * draw (draw) int64 0 1 2 3 4 5 ... 995 996 997 998 999\n", + " * v_1|subject__factor_dim (v_1|subject__factor_dim) <U2 '0' '1' ... '13' '14'\n", + "Data variables:\n", + " theta (chain, draw) float32 0.04252 0.03958 ... 0.03845\n", + " z (chain, draw) float32 0.4693 0.4692 ... 0.4627\n", + " a (chain, draw) float32 1.506 1.501 ... 1.443 1.518\n", + " t (chain, draw) float32 0.5149 0.5214 ... 0.5061\n", + " v_Intercept (chain, draw) float64 0.8586 0.9097 ... 0.7703\n", + " v_x (chain, draw) float32 0.935 0.9222 ... 0.8686 0.907\n", + " v_y (chain, draw) float32 0.2784 0.2751 ... 0.3115\n", + " v_1|subject_sigma (chain, draw) float32 0.4068 0.4593 ... 0.4459\n", + " v_1|subject (chain, draw, v_1|subject__factor_dim) float32 -...\n", + "Attributes:\n", + " created_at: 2023-07-26T21:01:18.911649\n", + " arviz_version: 0.14.0\n", + " modeling_interface: bambi\n", + " modeling_interface_version: 0.12.0
<xarray.Dataset>\n", + "Dimensions: (chain: 2, draw: 1000)\n", + "Coordinates:\n", + " * chain (chain) int64 0 1\n", + " * draw (draw) int64 0 1 2 3 4 5 6 ... 993 994 995 996 997 998 999\n", + "Data variables:\n", + " acceptance_rate (chain, draw) float32 0.9458 0.5593 ... 0.6721 0.9348\n", + " step_size (chain, draw) float32 0.1488 0.1488 ... 0.1083 0.1083\n", + " diverging (chain, draw) bool False False False ... False False False\n", + " energy (chain, draw) float32 4.791e+03 4.786e+03 ... 4.784e+03\n", + " n_steps (chain, draw) int32 31 15 31 31 31 15 ... 31 15 15 31 63 47\n", + " tree_depth (chain, draw) int64 5 4 5 5 5 4 5 4 5 ... 6 4 4 5 4 4 5 6 6\n", + " lp (chain, draw) float32 4.777e+03 4.774e+03 ... 4.775e+03\n", + "Attributes:\n", + " created_at: 2023-07-26T21:01:18.914433\n", + " arviz_version: 0.14.0\n", + " modeling_interface: bambi\n", + " modeling_interface_version: 0.12.0
<xarray.Dataset>\n", + "Dimensions: (rt,response_obs: 3000, rt,response_extra_dim_0: 2)\n", + "Coordinates:\n", + " * rt,response_obs (rt,response_obs) int64 0 1 2 3 ... 2997 2998 2999\n", + " * rt,response_extra_dim_0 (rt,response_extra_dim_0) int64 0 1\n", + "Data variables:\n", + " rt,response (rt,response_obs, rt,response_extra_dim_0) float32 ...\n", + "Attributes:\n", + " created_at: 2023-07-26T21:01:18.915478\n", + " arviz_version: 0.14.0\n", + " inference_library: numpyro\n", + " inference_library_version: 0.12.1\n", + " sampling_time: 165.266128\n", + " modeling_interface: bambi\n", + " modeling_interface_version: 0.12.0
\n", + " | rank | \n", + "elpd_loo | \n", + "p_loo | \n", + "elpd_diff | \n", + "weight | \n", + "se | \n", + "dse | \n", + "warning | \n", + "scale | \n", + "
---|---|---|---|---|---|---|---|---|---|
a_fixed_1.5(correct) | \n", + "0 | \n", + "-943.825554 | \n", + "3.210847 | \n", + "0.000000 | \n", + "1.000000e+00 | \n", + "21.766288 | \n", + "0.000000 | \n", + "False | \n", + "log | \n", + "
a_fixed_1(wrong) | \n", + "1 | \n", + "-998.259115 | \n", + "3.317558 | \n", + "54.433561 | \n", + "3.569056e-11 | \n", + "26.154377 | \n", + "9.630863 | \n", + "False | \n", + "log | \n", + "
<xarray.Dataset>\n", + "Dimensions: (chain: 2, draw: 1000)\n", + "Coordinates:\n", + " * chain (chain) int64 0 1\n", + " * draw (draw) int64 0 1 2 3 4 5 6 7 8 ... 992 993 994 995 996 997 998 999\n", + "Data variables:\n", + " a (chain, draw) float32 1.497 1.518 1.461 1.524 ... 1.451 1.514 1.461\n", + " z (chain, draw) float32 0.4548 0.4405 0.4521 ... 0.4598 0.44 0.4333\n", + " t (chain, draw) float32 0.212 0.2052 0.1778 ... 0.2639 0.2259 0.1971\n", + " v (chain, draw) float32 0.6335 0.6273 0.6261 ... 0.5955 0.6924 0.6319\n", + "Attributes:\n", + " created_at: 2023-07-26T21:02:01.183015\n", + " arviz_version: 0.14.0\n", + " modeling_interface: bambi\n", + " modeling_interface_version: 0.12.0
<xarray.Dataset>\n", + "Dimensions: (chain: 2, draw: 1000)\n", + "Coordinates:\n", + " * chain (chain) int64 0 1\n", + " * draw (draw) int64 0 1 2 3 4 5 6 ... 993 994 995 996 997 998 999\n", + "Data variables:\n", + " acceptance_rate (chain, draw) float32 0.9963 0.794 0.8765 ... 0.9708 0.8657\n", + " step_size (chain, draw) float32 0.4479 0.4479 ... 0.4309 0.4309\n", + " diverging (chain, draw) bool False False False ... False False False\n", + " energy (chain, draw) float32 985.5 987.1 987.7 ... 986.7 987.5\n", + " n_steps (chain, draw) int32 7 7 3 15 15 7 7 3 ... 7 15 7 3 7 3 11 7\n", + " tree_depth (chain, draw) int64 3 3 2 4 4 3 3 2 3 ... 3 3 4 3 2 3 2 4 3\n", + " lp (chain, draw) float32 984.7 985.9 987.3 ... 985.7 985.9\n", + "Attributes:\n", + " created_at: 2023-07-26T21:02:01.184842\n", + " arviz_version: 0.14.0\n", + " modeling_interface: bambi\n", + " modeling_interface_version: 0.12.0
<xarray.Dataset>\n", + "Dimensions: (rt,response_obs: 500, rt,response_extra_dim_0: 2)\n", + "Coordinates:\n", + " * rt,response_obs (rt,response_obs) int64 0 1 2 3 ... 496 497 498 499\n", + " * rt,response_extra_dim_0 (rt,response_extra_dim_0) int64 0 1\n", + "Data variables:\n", + " rt,response (rt,response_obs, rt,response_extra_dim_0) float32 ...\n", + "Attributes:\n", + " created_at: 2023-07-26T21:02:01.185883\n", + " arviz_version: 0.14.0\n", + " inference_library: numpyro\n", + " inference_library_version: 0.12.1\n", + " sampling_time: 12.330377\n", + " modeling_interface: bambi\n", + " modeling_interface_version: 0.12.0
\n", + " | rt | \n", + "response | \n", + "
---|---|---|
0 | \n", + "3.363975 | \n", + "1.0 | \n", + "
1 | \n", + "1.782004 | \n", + "1.0 | \n", + "
2 | \n", + "1.024997 | \n", + "1.0 | \n", + "
3 | \n", + "1.309993 | \n", + "1.0 | \n", + "
4 | \n", + "1.248994 | \n", + "-1.0 | \n", + "
... | \n", + "... | \n", + "... | \n", + "
995 | \n", + "1.051996 | \n", + "-1.0 | \n", + "
996 | \n", + "4.529891 | \n", + "-1.0 | \n", + "
997 | \n", + "3.115993 | \n", + "1.0 | \n", + "
998 | \n", + "6.845723 | \n", + "1.0 | \n", + "
999 | \n", + "4.718877 | \n", + "1.0 | \n", + "
1000 rows × 2 columns
\n", + "\n", + " | mean | \n", + "sd | \n", + "hdi_3% | \n", + "hdi_97% | \n", + "mcse_mean | \n", + "mcse_sd | \n", + "ess_bulk | \n", + "ess_tail | \n", + "r_hat | \n", + "
---|---|---|---|---|---|---|---|---|---|
a | \n", + "1.458 | \n", + "0.029 | \n", + "1.402 | \n", + "1.512 | \n", + "0.001 | \n", + "0.001 | \n", + "1543.0 | \n", + "2221.0 | \n", + "1.0 | \n", + "
z | \n", + "0.505 | \n", + "0.014 | \n", + "0.479 | \n", + "0.532 | \n", + "0.000 | \n", + "0.000 | \n", + "1134.0 | \n", + "1738.0 | \n", + "1.0 | \n", + "
t | \n", + "0.547 | \n", + "0.021 | \n", + "0.505 | \n", + "0.584 | \n", + "0.001 | \n", + "0.000 | \n", + "1183.0 | \n", + "1787.0 | \n", + "1.0 | \n", + "
v | \n", + "0.609 | \n", + "0.037 | \n", + "0.535 | \n", + "0.673 | \n", + "0.001 | \n", + "0.001 | \n", + "1282.0 | \n", + "2168.0 | \n", + "1.0 | \n", + "