{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Across-subject testing with [GLHMM toolbox](https://github.com/vidaurre/glhmm)\n", "\n", "In this tutorial, we demonstrate how to implement the Across-subjects test using the [GLHMM toolbox](https://github.com/vidaurre/glhmm), part of the paper [The Gaussian-Linear Hidden Markov Model: a Python Package](https://direct.mit.edu/imag/article/doi/10.1162/imag_a_00460/127499/The-Gaussian-Linear-Hidden-Markov-model-a-Python). This test is designed to evaluate relationships between brain states and behavioral traits and is useful for exploring individual differences among people.\n", "\n", "For this tutorial, we use data from the Human Connectome Project (HCP) S1200 Young Adult dataset ([van Essen et al., 2013](https://pmc.ncbi.nlm.nih.gov/articles/PMC3724347/)). The HCP dataset provides a real-world context for this analysis, offering detailed information about subjects, including demographic and behavioral traits such as sex and age.\n", "\n", "**Note: Access to HCP data requires permission. If you have not yet applied for access, follow the instructions [here](https://db.humanconnectome.org/) to request permission.**\n", "\n", "In this setup:\n", "\n", "* The brain data ($D$) consists of aggregated HMM-related statistics, such as fractional occupancies (FO).\n", "* The behavioral measures ($R$) include variables such as sex and age.\n", "The goal is to assess the relationship between brain data ($D$) and behavioral traits ($R$) using permutation testing.\n", "\n", "**Note:** Due to rendering issues when viewing this notebook through github, internal links, like the table of contents, may not work correctly. To ensure that the notebook renders correctly, you can view it through [this link](https://nbviewer.org/github/vidaurre/glhmm/blob/main/docs/notebooks/Testing_across_subjects.ipynb).\n", "\n", "Authors: Nick Yao Larsen \n", "\n", "## Table of Contents\n", "1. [Load and prepare data](#load-data)\n", " * [HMM-aggregated statistics](#fam-struc2)\n", "2. [Across-subjects testing](#across_subjects)\n", " * [Family structure](#fam-struc)\n", " * [Across subjects - Multivariate](#perm_multivariate)\n", " * [Across subjects - Univariate](#perm_univariate)\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Install necessary packages\n", "If you dont have the **GLHMM-package** installed, then run the following command in your terminal:\n", "\n", "```pip install git+https://github.com/vidaurre/glhmm```\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Import libraries\n", "Let's start by importing the required libraries and modules." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from pathlib import Path\n", "from glhmm import glhmm, graphics, statistics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Load and prepare data \n", "For reproducibility and since the HCP dataset is very large, we provide the ```Gamma``` values (state probabilities at each timepoint) from a pre-trained HMM. If you don't have these values, you can follow the instructions to train a standard HMM model in this [*tutorial*](./GaussianHMM_example.ipynb) \n", "\n", "from the [glhmm toolbox](https://github.com/vidaurre/glhmm).\n", "\n", "\n", "**Load Data**\n", "Let's start by loading the essential data for this tutorial:\n", "* ```Gamma```: State probabilities at each timepoint exported from a fitted HMM model. The model is trained on HCP rest fMRI timeseries from 1001 subjects in the groupICA50 parcellation.\n", "* ```data_behavioral```: Behavioral and demographic items from the same 1001 HCP subjects.\n", "\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Data dimension of data_behavioral: (1001, 2)\n", "Data dimension of data_gamma: (4804800, 6)\n" ] } ], "source": [ "# Get the current directory\n", "PATH_PARENT = Path.cwd()\n", "# Path of the location of the data\n", "PATH_DATA = PATH_PARENT / \"data_HCP\"\n", "\n", "# Load behavioral data\n", "data_behavioral = np.load(PATH_DATA/\"data_behavioral_HCP_sex_age.npy\")\n", "# Load gamma\n", "data_gamma = np.load(PATH_DATA/\"gamma_K6.npy\")\n", "\n", "print(f\"Data dimension of data_behavioral: {data_behavioral.shape}\")\n", "print(f\"Data dimension of data_gamma: {data_gamma.shape}\")" ] }, { "cell_type": "markdown", "metadata": { "id": "d7d-y6WSTgV8" }, "source": [ "**Explore data**\\\n", "Let's take a closer look at the structure of the data." ] }, { "cell_type": "markdown", "metadata": { "id": "tJ8Sj1OhTgV8" }, "source": [ "Now we can examine the structure of the data:\n", "\n", "```data_behavioral```: 2D array of shape (n_subjects, n_features).\n", "```data_gamma```: 2D array of shape (n_timepoints, n_states).\n", "\n", "The ```data_behavioral``` array has a shape of [1001, 2], indicating that we have measurements for 1001 subjects. Each subject includes information about two features: 'sex' and 'age'.\n", "\n", "The ```data_gamma``` array has a shape of [4804800, 6], where 4804800 corresponds to the total number of timepoints across all 1001 subjects (each with 4800 timepoints). The 6 columns represent the probabilities of being in each of the 6 distinct states at a given timepoint, as estimated by the HMM.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### HMM-aggregated statistics \n", "The ```test_across_subjects``` function analyse differences between subjects using permutation tests. To prepare for this, we condense the ```data_gamma``` values into HMM-related aggregated statistics, providing one set of values per subject.\n", "\n", "Using the gamma output from the HMM, we calculate Fractional Occupancy (FO), which measures the proportion of time spent in each state. This results in a probability distribution across the 6 states for each subject, with values summing to one.." ] }, { "cell_type": "markdown", "metadata": { "id": "U7-kjwe4TgV9" }, "source": [ "**Calculate indices**\\\n", "To compute FO from the gamma values, we first need indices that define the start and end of each subject's segment in the concatenated timeseries. These indices should have the shape ```[n_subjects, 2]```, clearly marking subject boundaries.\n", "\n", "We use the ```get_timestamp_indices``` function for this purpose. Providing the number of timepoints per subject (4800) and the total number of subjects (1001) generates a variable of shape (n_subjects, 2) containing the start and end indices for each subject's data.\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Prepare the number of time points and number of subjects\n", "n_timepoints = 4800\n", "n_subjects = 1001\n", "idx_time = statistics.get_indices_timestamp(n_timepoints, n_subjects)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's visualize the the first 5 time points" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0, 4800],\n", " [ 4800, 9600],\n", " [ 9600, 14400],\n", " [14400, 19200],\n", " [19200, 24000]])" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Visualize the first 5 timepoints\n", "idx_time[:5]" ] }, { "cell_type": "markdown", "metadata": { "id": "SmckNKkMTgV-" }, "source": [ "**Calculate Fractional Occupancy (FO)**\n", "Having obtained the necessary indices (```idx_time```), we can now proceed to calculate the FO using the ```get_FO``` function." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "id": "OYV1p8YWTgV-" }, "outputs": [], "source": [ "# Calculate FO\n", "FO = glhmm.utils.get_FO(data_gamma, idx_time)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a closer look at the structure of FO and the behavioral data." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Data dimension of FO: (1001, 6)\n", "Data dimension of data_behavioral: (1001, 2)\n" ] } ], "source": [ "print(f\"Data dimension of FO: {FO.shape}\")\n", "print(f\"Data dimension of data_behavioral: {data_behavioral.shape}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The FO matrix shows how much time each subject spends in different brain states. It has 1001 rows (one for each subject) and 6 columns (one for each state). For example, if `FO[i, j] = 0.2`, it means subject `i` spends 20% of their time in state `j`. This helps us understand how brain activity is distributed across states for different people.\n", "\n", "Both `FO` and `data_behavioral` have 1001 rows, matching the number of subjects. The `FO` matrix is our brain data ($D$), while ```data_behavioral``` contains behavioural measurements ($R$) like a subject's sex or age. Together, these matrices allow us to explore how brain activity relates to behavioral traits.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can plot FO for all subjects to see the gamma distribution using the function `plot_FO`" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Across-subjects testing \n", "\n", "Next, we'll explore how to use the across_subjects function to uncover relationships between FO ($D$) from our brain data and behavioral variables ($R$) through permutation testing.\n", "\n", "**Permutation testing**\\\n", "Permutation testing does not assume any particular data distribution and the procedure shuffles the data around to create a null distribution. This null distribution comes in handy for testing our hypotheses without making any assumptions about the data.\n", "This null distribution becomes our benchmark to test the question: is there any real difference or relationship between the variables we're interested in?\n", "\n", "\n", "![image-2.png](attachment:image-2.png)\n", "\n", " **Figure 5A**: A 9 x 4 matrix representing permutation testing across subjects. Each row corresponds to a subject, with one observation each. The first column: displays the original index of each subject (perm=0). Next columns: examples of permuted subject indices.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Family structure \n", "By default, the ```test_across_subjects``` function assumes that all subjects are independent and can be shuffled freely during permutation testing. However, in reality, familial connections between subjects may exist and can therefore violate the assumption that each subject are independent from each other. \n", "\n", "To address this, an Exchangeability Block (EB) file (```EB.csv```) is created. This file groups related subjects into blocks (e.g., families), allowing entire families to be shuffled together during permutation testing. For more details on this method, see [Winkler et al, 2015](https://www.sciencedirect.com/science/article/pii/S105381191500508X?via%3Dihub). A step-by-step tutorial for creating an ```EB.csv``` file from the HCP dataset is available in the notebook [HCP_multi_level_block_permutation.ipynb](./HCP_multi_level_block_permutation.ipynb).\n", "\n", "When incorporating family structure into the ```test_across_subjects``` function, you'll use a dictionary (```dict_fam```) to specify the location of the ```EB.csv``` file. In this tutorial, we'll use default options and provide the file path for the family structure data." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "dict_fam = {\n", " 'file_location': 'EB.csv', # Specify the file location of the family structure data\n", " # 'file_location': r'C:\\Users\\...\\EB.csv'\n", "}" ] }, { "cell_type": "markdown", "metadata": { "id": "eInuVub1TgV_" }, "source": [ "### Across subjects - Multivariate \n", "\n", "The multivariate analysis aims to evaluate how variations in brain activity ($D$, represented by FO) relate to differences in behavioral measurements ($R$, such as sex and age). By considering multiple brain states simultaneously, this analysis assesses whether changes in FO contribute to explaining variability in the behavioral data.\n", "\n", "If the results are significant, it suggests that specific patterns in FO are important for explaining the observed differences in behavioral measurements related to sex and age. Conversely, a non-significant result indicates that the variability in behavioral data may not be explained by the observed brain activity patterns.\n", "\n", "To run the test_across_subjects test, we set the following parameters:\n", "\n", "**Inputs:**\n", "\n", "* ```D_data```: The state fractional occupancies (FO).\n", "* ```R_data```: The behavioral measurements (e.g., sex and age).\n", "\n", "**Settings:**\n", "* ```method``` = \"multivariate\": Specifies that the test should perform pairwise correlation analysis.\n", "* ```dict_fam```: Information about family structure for the subjects.\n", "\n", "Additional settings allow for confounding variables to be accounted for during permutation testing. For details on these options, refer to the function documentation." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of possible permutations is exp(1586.6248450207656).\n", "Generating 10000 shufflings (permutations only).\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 10000/10000 [00:01<00:00, 5597.59it/s]\n" ] } ], "source": [ "# Set the parameters for between-subject testing\n", "method = \"multivariate\"\n", "Nnull_samples = 10_000 # Number of permutations (default = 0)\n", "test_statistic_options = True\n", "# Perform across-subject testing\n", "result_multivariate =statistics.test_across_subjects(D_data=FO, \n", " R_data=data_behavioral, \n", " method=method,Nnull_samples=Nnull_samples,\n", " dict_family=dict_fam)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What we can see here is that ```result_multivariate``` is a dictionary containing the outcomes of a statistical analysis conducted using the specified ```method``` and ```test_type```. \n", "\n", "Let us break it down:\n", "* ```pval```: This array holds the p-values resulting from the permutation test. Each value corresponds to a behavioral variable and will have shape of 1 by q, see [GLHMM paper](https://direct.mit.edu/imag/article/doi/10.1162/imag_a_00460/127499/The-Gaussian-Linear-Hidden-Markov-model-a-Python).\n", "\n", "* ```base_statistics```: Stores the base statistics of the tests. In this case it is the explained variance $R^2$\n", "\n", "* ```test_statistic```: Will by default always return a list of the base (unpermuted) statistics when ```test_statistic_option=False```. This list can store the test statistics associated with the permutation test. It provides information about the permutation distribution that is used to calculate the p-values. The output will exported if we set ```test_statistic_option=True```\n", "\n", "* ```statistical_measures```: A dictionary that marks the units used as test_statistics\n", "\n", "* ```test_type```: Indicates the type of permutation test performed. In this case, it is ```across_subjects```.\n", "\n", "* ```method```: Specifies the analytical method employed, which is ```'multivariate'```, which means that the analysis is carried out using regression-based permutation testing.\n", "\n", "* ```max_correction```: Boolean value that indicates whether Max correction has been applied when performing permutation testing\n", "\n", "* ```Nnull_samples```: Is the number of permutations that has been performed.\n", "\n", "* ```test_summary```: A dictionary summarizing the test results based on the applied method.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Visualization of results**\\\n", "Now that we have performed our test, we can then visualize the p-value array.\\\n", "We will import the function ```plot_heatmap``` from module ```helperfunctions.py```" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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yBJcuXRIfDCPSd5x+i+g5T548AQCVtxqVb/eOGDGiWPtTp05pfK38/HxERkaW2mfnzp3LPF95vKS3c+/cuYObN2+iZcuWKqOxUqlUZZRSHWVd59y5c8jJyVFr5oOXqVevXokju4mJiSolAppycXGBQqFAREREme3s7OxgZGSE6OholSnMlJSvgzbuGfjfH08lfS2URFm+8Ouvv760rXJRj5I+587OzpBIJGpfVznSWdK0XJmZmRqVl8TFxZU45ZW63wNKBgYGGDduHO7du4cTJ07gp59+giAI4qInSrdu3YIgCPD09CxWNlKe72XlDBIlfb2WVBJU3s/x84yNjdGnTx+sXLkSCxYswLNnz8R3i4iIiSyRilWrVgEAevXqJe5TjkK++As8IiIC33777Stdb8GCBcjNzRU/vnv3LtasWQO5XI5x48aVee6IESNgZmaGzZs34/Lly+J+QRDw0UcfIT8/X2WaLQCoX78+7t69W64YJ0yYAAMDA6xatUqlfjA3NxcfffQRABS7jiacnZ2RmJiokmjm5ubCz8/vlfsGAF9fXwDArFmzxLd6lfLz88VRQENDQ4wfPx6pqakICgpSaRcaGopjx46hdevW6N69u1bi8vHxQd26dbFw4UKVz6NSdna2WGMJFL2lbmJigpUrV5aYPD6fXNWvXx9A0R82L7K2tsbYsWNx9uxZLF++HIIgFGtz7tw5MZlv1qwZevXqhT///LPYW+RffPGFRn9spKWlFZsi7dixYwgLC0OHDh1KrH8ujbIWdtu2bdi2bRvq1KmDUaNGqbRRfi+fPXtW5Y/Vu3fvIiAgQO1rOTk5QSKRYOfOncjJyRH3X79+HWvWrCnWfsSIEWjWrBlWrVqFkydPFjuel5en8vMlMjJSpV8l5deokZGR2rES1XQsLSC9dOPGDZW3Kh8/fowzZ84gNjYW9erVw7Jly8Rjw4YNg62tLb766itcunQJHTp0QHx8PA4dOoRRo0Zh7969GsXQqFEjZGVloWPHjhg2bJg4j+yjR4+wdu3al9ZAmpqa4ttvv8X48ePh6uoKb29vNGzYEL/99htiYmLg4uKCefPmqZzTt29f7N69GyNHjkTnzp0hk8kwfPhwdOzYsdTrtGrVCsuWLYO/vz86duyIsWPHok6dOggJCUF8fDxGjBhRbORLE35+fvj1118xePBgjB8/HrVr18bx48dhbm4u1qW+isGDB2Pu3LlYsWIF2rRpg1GjRsHS0hL37t1DWFgY5s6di9mzZwOAOKfoZ599hrNnz8LV1RWJiYnYs2cPateujc2bN7+01lZdyrfE33jjDXTq1AkDBw6EnZ0dFAqFmNi7u7uLDydaWlpi69atGDduHFxcXDB8+HC0a9cOqampOHfuHGxtbXHgwAEARQ/jGRsbY/Xq1Xjy5AkaNmwIAPj4448BAN988w3i4+Px4YcfYtu2bXBzc4O5uTnu3LmDCxcu4Pr16/jnn3/E0cvg4GB0794dkyZNwoEDB8R5ZKOjo9GzZ89yv0PRs2dPrF+/HufOnUO3bt3E19jY2LhYGc/LODs7o127dti+fTvy8vIwceJE1KlTR6VNo0aNMGbMGOzbtw9du3ZFv379kJKSgkOHDqFfv34lPmxXksaNG2P8+PHYvn07nJycMHDgQDx48AA///wzBg4ciH379qm0l8vl2Lt3LwYNGoTevXujb9++cHBwgEQiwe3bt3Hq1Ck0aNAAV69eBVD09XfixAn06tULLVq0gJGREWJjYxEWFoaWLVsWS9CJ9FplTplAVNFKm35LLpcLrVq1EqZPn17iPKC3bt0SxowZIzRs2FCoXbu24OzsLOzcubPEqXYE4eXTXCmnk3r8+LHwzjvvCFZWVoJcLhc6deokbN++vVj7sqb7OXnypDBo0CDB3NxcMDQ0FNq2bSt88sknQmZmZrG2//zzjzB27FjBwsJCkEqlZc4x+qKDBw8KvXv3FurWrSvI5XLBwcFBWLlypZCXl1esrSbTbwmCIOzZs0dwcHAQDA0NBWtra2HGjBnC06dPy5x+q6TpngIDAwUAwokTJ4od27dvn+Dh4SHOwWtraytMnDhRZa5RQSianmrmzJlC8+bNhVq1agkWFhbC66+/Lvz111/F+iwrFkEoefqwF129elWYNm2a0Lx5c8HQ0FCoV6+e4ODgIMycOVM4f/58sfZxcXHC2LFjBSsrK6FWrVpCo0aNhEGDBgmHDh1SaXf48GHB2dlZMDY2Fr/en5ednS189dVXgpOTk1CnTh3B2NhYaNGihTBy5Ehh69atxT6/f/31lzB48GDBxMREqFu3rjBo0CDhr7/+eulr8Dzl9+HkyZOFS5cuCYMHDxZMTU2FOnXqCJ6enmpNu1WSzz77TLzH0qauevr0qeDv7y/Y2toKcrlcaNOmjbB06VIhNze3xO/b0u4rOztbmDlzpvi927FjR+Gnn34q9WeCIBTNYTtr1iyhTZs2glwuF0xNTYX27dsLb731lhAWFia2Cw0NFSZNmiS0a9dOqFu3rmBiYiLY29sLCxYsKHVKPyJ9JRGEEt5PIiKdUj6kk5iYWKlxEFWGxMREtGjRApMnT1Z7iWQiopKwRpaIiIiIqiUmskRERERULTGRJSIiIqJqiTWyRERERFQtcUSWiIiIiKolJrJEREREVC0xkSUiIiKiaomJLBERERFVS0xkiYiIiKhaYiJLRERERNUSE1kiIiIiqpaYyBIRERFRtcREloiIiIiqJSayRERERFQtMZElIiIiomqJiSwRERERVUtMZImIiIioWmIiS0RERETVEhNZIiIiIqqWmMgSERERUbXERJaIiIiIqiUmskRERERULTGR/dfJkycxbNgwNG7cGBKJBAcOHKjskIiIiIh0SpP8Jzw8HF26dIFcLkfr1q2xZcuWYm2Cg4Nha2sLIyMjuLq64vz58yrHc3Jy4OvriwYNGsDExARjxoxBSkpKueNnIvuvrKwsdOrUCcHBwZUdChEREVGFKG/+k5CQgCFDhsDDwwMXL17E7Nmz8dZbb+HYsWNim127dsHPzw+BgYGIjY1Fp06d4OXlhQcPHoht5syZg5CQEOzZswcRERG4f/8+Ro8eXe74JYIgCOU+q4aTSCT4+eefMXLkyMoOhYiIiKhCqJP/fPTRRzh8+DAuXbok7hs3bhzS0tIQGhoKAHB1dYWzszPWrVsHACgsLISNjQ1mzJiB+fPnIz09HQ0bNsT27dvx+uuvAwCuXr2K9u3bIzIyEt26dVM7Zo7IEhEREZFaIiMj4enpqbLPy8sLkZGRAIDc3FzExMSotJFKpfD09BTbxMTEIC8vT6WNnZ0dmjVrJrZRl4GmN6LvFAoFFAqF+LEgCMjNzYWFhQUkEkklRkZERERVUU5ODnJzc3V+HUNDQxgZGemk7+TkZFhZWanss7KyQkZGBp49e4YnT56goKCgxDZXr14V+zA0NIS5uXmxNsnJyeWKh4mshoKCgrBkyZJi+9PT02FqaloJEREREVFVlZOTA1PzJshTPNb5taytrZGQkKCzZLYqYSKroYCAAPj5+YkfZ2RkwMbGphIjIiIioqoqNzcXeYrHcOm/BzKDOjq7TkF+Fs4ffwO5ubk6SWStra2LzS6QkpICU1NTGBsbQyaTQSaTldjG2tpa7CM3NxdpaWkqo7LPt1EXE1kNyeVyyOXyyg6DiIiIqhEDQxMY1NJdIiuR6ra80c3NDUeOHFHZd/z4cbi5uQEoKmtwcnJCWFiY+NBYYWEhwsLC8MEHHwAAnJycUKtWLYSFhWHMmDEAgPj4eCQlJYn9qIuJ7L8yMzNx48YN8eOEhARcvHgR9evXR7NmzUo9Lzg4GMHBwSgoKKiIMImIiKgak0qlkEp196y9sm9nZ2fIZDL4+vrC19e31PYvy38CAgJw7949bN26FQDw3nvvYd26dfjwww8xdepU/P7779i9ezcOHz4s9uHn54fJkyeja9eucHFxwerVq5GVlQUfHx8AgJmZGaZNmwY/Pz/Ur18fpqammDFjBtzc3Mo1YwHA6bdE4eHh8PDwKLZ/8uTJJU70+6KMjAyYmZmxRpaIiIiKUeYJPYcf0+mIbH5eFk794qV2PvKy/GfKlClITExEeHi4yjlz5szBlStX0LRpU3zyySeYMmWKyvnr1q3D8uXLkZycDEdHR6xduxaurq7i8ZycHPj7+2PHjh1QKBTw8vLCN998U+7SAk6/9a8+ffpAEIRimzpJLFVPO3fuRJcuXWBsbIz69evj9ddfx82bN1963tdffw17e3vI5XJYWlpi6tSpJdYCTZ06FZaWlpDL5bC3txfn01O6fPkyRo0ahSZNmkAikUAikWD+/PlavUciKh9d/lyYMWMGOnXqBAMDA0gkkhJ/Yf/zzz/w9vZGixYtxJ8L48aN09r9UeWTSCU638rjZfnPli1bVJJY5TlxcXFQKBS4efNmsSQWAD744APcvn0bCoUC586dU0liAcDIyAjBwcF4/PgxsrKysH///nInsQAT2VcWHBwMe3t7ODs7V3YoVA6bNm3C+PHjERcXh0aNGqGgoAD79u2Du7t7mVN/fPLJJ5g5cyb+/vtvNG/eHJmZmdi8eTP69OmD7OxsAEWrpPTu3RubN29GZmYmmjdvjr///hszZszAokWLxL6uX7+OgwcPcgSfqIrQ5c8FANi2bRv++ecf1K9fv9S+UlJSsHv3bkgkEr144lwfSaUSnW9AUWmBvb19jV+xlInsK/L19cWVK1cQHR1d2aGQmnJzc8WRzzFjxuDWrVv4+++/UbduXTx48ABffPFFieelpKRg2bJlAAB/f39cu3YNUVFRkEgkuHr1KjZs2AAA+L//+z/Ex8dDIpEgKioK165dE2e4+PLLL8VRGg8PD6SlpeHvv//W9S0T0Uvo+ucCAPz111948OABBg8eXGoc7dq1Q2pqKm7dulVsHk6qGSoqkY2OjsaVK1fKrI+tCZjIkt6Jjo5GamoqAIhPSzZu3FgsMFcusfei3377DXl5eSrndezYEa1bt1Y57+jRowCANm3aoGPHjirt8/LyEBYWBqCo2J2jsURVg65/LgBQa4pGY2NjNGjQQMO7oOpAWTKiy02fMJF9RSwtqH7u3Lkj/tvS0lL8t3L0Iykp6ZXOU7YrqU1Z/RNR5dH1zwUiJYkUkMokOtskepbZ6dntah9LC2oOTSfwUOc8Tg5CVD3p8ucC6aeKGpHVlxpZziNLeuf5t/cePHhQ7N+lzRv84nmtWrUq8TwbGxvEx8eX2HdZ/RNR5dH1zwUiJV2//a/sOzo6Wi/K1zgiS3rH2dlZrEHbt28fAOD+/fuIiooCAAwcOBAAYGdnBzs7O3HarH79+sHAwEDlvD///FOcSFp5nvL/169fx59//qnSvlatWujXr59ub5CIyk3XPxeIlGQyic43faLxgghXrlzBlStXkJqaColEAgsLC7Rv3x729vbajrFa4III1cvGjRvx7rvvAgBatGiBR48eISMjAxYWFvjjjz/QuHFj8a/awMBALF68GACwYMECBAUFAQDatm2LO3fu4NmzZ2jTpg3i4uJQp04dZGZmokuXLrh+/TqMjY1hY2ODa9euied//vnnAIBz587hP//5DwCI81Sam5ujQYMGaNq0abF5+4hIt3T5cwEomnvz7t27ePDgAZ4+fQqZTAZbW1sAwE8//QRXV1fcu3cPvXv3BgDcvn0b+fn5MDExEWtun1+BiaoXZZ4weGIEahma6Ow6ebmZOLKtt97kI+UqLQgPD8eWLVsQEhKCtLS0YjVAEokEZmZmGDZsGHx8fNCnTx9txlolcYna6umdd95BnTp1sGLFCvz9998wMjLC6NGj8eWXX6Jx48alnvf555/DysoKGzZswM2bN2FmZoaxY8fiyy+/FH9ZmZiYICIiAgEBATh8+DASEhJgZ2eH9957D7NmzRL7evbsWbGJ1tPS0pCWlob8/Hzd3DgRlUqXPxcAIDExEbdv3xY/LigoEH8GPHv2DEDRzCYv/lzIzMxEZmamNm+VKpEmixaUt39A/SVqqzu1RmRDQ0PxySefICYmBh06dED//v3h5OSEli1bol69ehAEAU+ePEFCQgJiYmJw/PhxXLp0CV26dMHnn38OLy+viriXSsURWSIiIiqNMk8Y5nNK5yOyIZt76k0+otaI7Ouvv4633noL27Ztg52dXant3NzcMGHCBAAQJ4J+4403kJGRoZ1oiYiIiKqxihqR1RdqJbJJSUllLqlXEjs7O6xevVplSU4iIiIifSaRFG267F+fqJXIljeJ1da51QFrZImIiEhdMqkUMqnuJo0q1GHfVdEr3e29e/ewY8cOrFmzBnfv3gVQVLz++PFjvUnsuCACERERqUsikYjlBTrZuCDCywmCAH9/f6xbtw75+fmQSCRwcHBA06ZNkZmZCVtbW3z66aeYPXu2lsMlIiIiqr6kUgmkOqxjVfbNBRHKsHz5cqxZswZz587F8ePHVabhMjMzw+jRo8WJoYmIiIioSEUtUasvNBqR/fbbbzFp0iR88cUXePToUbHjHTt2xNGjR185OCIiIqIaRQpIdFnGql8lspolsnfu3IG7u3upx+vUqcMpt4iIiIheoOuHvXTZd1Wk0d1aWlrizp07pR6PiYlBs2bNNA6qOgkODoa9vT2cnZ0rOxQiIiKq4pTTb+ly0ycaJbKjR4/Ghg0bcOvWLXGfsibj119/xZYtW/DGG29oJ8IqjrMWEBERkbp0OmPBc4st6MusBWotUfui9PR09OrVCwkJCejZsydCQ0PRv39/ZGZmIjIyEp07d8bJkydRu3ZtXcRcJXGJWiIiIiqNMk+Y6B8LQ7nulqjNVWRi28ouepOPaDQia2ZmhqioKHz44Ye4d+8ejIyMEBERgbS0NAQGBuLUqVN6lcQSERERqUMi1fWobGXfYcXS+HaNjY3x8ccf4+LFi8jKysKzZ89w6dIlLFq0CMbGxtqMUSPBwcGwtbWFkZERXF1dcf78+VLb7t+/H127doW5uTnq1KkDR0dHbNu2rQKjJSIiIn3AGlnt0mjWgqpu165d8PPzw4YNG+Dq6orVq1fDy8sL8fHxsLS0LNa+fv36WLhwIezs7GBoaIhDhw7Bx8cHlpaW8PLyqoQ7ICIioppIJpVCJuOsBdqiVo3s1KlTy9+xRIJNmzZpFNSrcnV1hbOzM9atWwcAKCwshI2NDWbMmIH58+er1UeXLl0wZMgQLF26VK32rJElIiKi0ijzhGkBF2FoVFdn18nNeYpNQY56k4+oNSL7+++/l3uliMpaWSI3NxcxMTEICAgQ90mlUnh6eiIyMvKl5wuCgN9//x3x8fFYtmxZqe0UCgUUCoX4MefNJSIiopfR9epbXNmrBImJiToOQ3tSU1NRUFAAKysrlf1WVla4evVqqeelp6ejSZMmUCgUkMlk+Oabb9C/f/9S2wcFBWHJkiVai5uIiIhqPqlMAqlMd8mmLvuuivSrkKIMdevWxcWLFxEdHY3PP/8cfn5+CA8PL7V9QEAA0tPTxa2sBSKIiIiIgP+NyOpyA/RnHtka97CXhYUFZDIZUlJSVPanpKTA2tq61POkUilat24NAHB0dMTff/+NoKAg9OnTp8T2crkccrlca3ETERFRzSeRSiCV6rC04N++o6Oj9aJGVuMR2aNHj6J///5o0KABDAwMIJPJim2VwdDQEE5OTggLCxP3FRYWIiwsDG5ubmr3U1hYqFIDS0RERPSqpP8msrrc9IlGI7L79u3D2LFj8dprr2HcuHFYv349JkyYAEEQcPDgQbRp0wYjR47Ucqjq8/Pzw+TJk9G1a1e4uLhg9erVyMrKgo+PDwBg0qRJaNKkCYKCggAU1bt27doVrVq1gkKhwJEjR7Bt2zasX7++0u6BiIiIap7nl5HVVf/6RKNENigoCC4uLjh9+jSePHmC9evXY+rUqejbty8SExPRrVs3tGjRQtuxqs3b2xsPHz7EokWLkJycDEdHR4SGhooPgCUlJUH63DxrWVlZeP/993H37l0YGxvDzs4OP/74I7y9vSvrFoiIiKgG0vWoqb6NyKo1j+yLateujaCgIMyaNQtpaWmoX78+jh49Ki4e8Omnn2LXrl24fPmy1gOuqjiPLBEREZVGmSfM+vIq5DqcR1aR8xRr5tvpTT6i0Yhs7dq1YWhoCAAwNzeHXC7HP//8Ix63srJCQkKCdiIkIiIiqil0vY6sns0jq9HDXu3atcOVK1fEjx0dHbFt2zbk5+cjJycH27dvR7NmzbQWJBEREVFNIJXo+GEvJrIvN2rUKBw8eFB8qn/hwoUIDw+Hubk5GjZsiFOnTqm9FCwRERGRvuCsBdqlUWnB3LlzMXfuXPHjoUOHIjw8HPv374dMJsOQIUPg4eGhtSCJiIiIagIuUatdWlsQoWfPnujZs6e2uqs2goODERwcjIKCgsoOhYiIiKo4zlqgXRqVFiQkJCAkJKTU4yEhIUhMTNQ0pmrF19cXV65cQXR0dGWHQkRERFWcch5ZXW4Al6gt09y5c5GRkYFhw4aVeDw4OBjm5ubYuXPnKwVHREREVJNU1KQFXKK2DJGRkejfv3+px/v164dTp05pHBQRERFRTSSVSiCTSnW26VtpgUYjsk+ePEHduqVP5mtiYoJHjx5pHBQRERFRTcQlarVLoxHZZs2a4cyZM6UeP3XqFJo2bapxUEREREQ1kbK0QJebPtEokR0/fjx27NiBtWvXorCwUNxfUFCANWvWYNeuXZgwYYLWgiQiIiKqCaRSqc43faJRaUFAQABOnz6N2bNn4/PPP0e7du0AAPHx8Xj48CH69OmDhQsXajVQIiIioupOubKXLvvXJxql7XK5HL/++is2bdoEFxcXpKamIjU1FS4uLvj+++/x22+/QS6XaztWIiIiomqNpQXapfGCCFKpFD4+PvDx8dFmPEREREQ1llQmhVSmu7f/ddl3VaSVlb1yc3Nx7tw5/PPPP2jXrh06deqkjW6JiIiIapSKmkdWX6idth87dgxTp05Famqqyv6rV6+iQ4cO6NOnD8aPH48uXbrg9ddfR35+vtaDJSIiIqrOlCOyutz0idp3+/333+OPP/6AhYWFyv7//Oc/uHHjBiZNmoS1a9di4MCB+Pnnn/H1119rPVgiIiKi6kwikeh80ydqJ7IXLlyAp6enyr64uDjExcXhP//5DzZv3gxfX18cPnwYPXr0wE8//aT1YImIiIiqMz7spV1qJ7LJyclo3bq1yr7Q0FBIJBJMmTJFZf/IkSMRHx+vlQA1FRwcDFtbWxgZGcHV1RXnz58vte3ly5cxZswY2NraQiKRYPXq1RUXKBEREekNqUwKmQ43lhaUwsTEBNnZ2Sr7Tp8+DalUCldXV5X95ubmKCgo0E6EGti1axf8/PwQGBiI2NhYdOrUCV5eXnjw4EGJ7bOzs9GyZUt8+eWXsLa2ruBoiYiISF9UxRFZXQz+vazPnJwc+Pr6okGDBjAxMcGYMWOQkpJS7tjVTmTbt2+PgwcPih8/efIEJ0+ehLu7O0xMTFTa3rlzp1ITwlWrVuHtt9+Gj48P7O3tsWHDBtSuXRvff/99ie2dnZ2xfPlyjBs3jvPfEhERkc5IpBKdb+Whi8E/dfqcM2cOQkJCsGfPHkREROD+/fsYPXp0uWIHypHI+vv7Izw8HIMGDcLSpUvh5eWF7OxsvP/++8XahoaGonPnzuUORhtyc3MRExOjUs8rlUrh6emJyMjISomJiIiICACkUonOt/LQxeDfy/pMT0/Hpk2bsGrVKvTt2xdOTk7YvHkzzp49i6ioqPK9nuo2HDZsGL766itERkYiMDAQly9fxieffAJvb2+VdlFRUYiKisKQIUPKFYi2pKamoqCgAFZWVir7rayskJycrLXrKBQKZGRkqGxEREREZVEuUauzrRy1BboY/FOnz5iYGOTl5am0sbOzQ7Nmzcp93XItiDB37lzMmTMHqampsLS0LHGKh06dOuHhw4cwNzcvVyDVTVBQEJYsWVLZYRAREVE1ouspssrTd1mDf1evXtXo+ur0mZycDENDw2K5oiaDjuV+tE0mk8HKyqrUF8rY2BgNGjSATCYrb9daYWFhAZlMVqxgOCUlRat1uwEBAUhPTxe3O3fuaK1vIiIiqpm4IIJ21bi7NTQ0hJOTE8LCwsR9hYWFCAsLg5ubm9auI5fLYWpqqrIRERERlaUqzVqgi8E/dfq0trZGbm4u0tLSXvm6NS6RBQA/Pz98++23+OGHH/D3339j+vTpyMrKgo+PDwBg0qRJCAgIENvn5ubi4sWLuHjxInJzc3Hv3j1cvHgRN27ceOm1goODYW9vD2dnZ53dDxEREdUMVWllL10M/qnTp5OTE2rVqqXSJj4+HklJSeW+brlqZKsLb29vPHz4EIsWLUJycjIcHR0RGhoq1mskJSVBKv1fDn///n2VWRZWrFiBFStWoHfv3ggPDy/zWr6+vvD19UVGRgbMzMx0cj9ERERUMxhJnsJYhzWyguQpgKLZBWQymZinlMbPzw+TJ09G165d4eLigtWrVxcb/GvSpAmCgoIAFA3+XblyRfy3cvDPxMREXDjrZX2amZlh2rRp8PPzQ/369WFqaooZM2bAzc0N3bp1K9f9SgRBEMr3ElFJlIlseno6ywyIiIhIhTJP+OFQAmrX0V2ekJ2VgclDW5QrH1m3bh2WL18uDv6tXbtWXOyqT58+sLW1xZYtWwAAiYmJaNGiRbE+Xhz8K6tPoGhBBH9/f+zYsQMKhQJeXl745ptvyl1awET2FQUHByM4OBgFBQW4du0aE1kiIiIqRpnI7jgUj9p16ursOtlZTzF+aDu9yUeYyGoJR2SJiIioNMo8Yf/hWNTRYSKblfUUo4d0Qdu2bdUqLajuNKqRlUqlLy0mNjIyQtOmTeHh4YF58+ahVatWGgVIREREVFPUkuSilkSh0/4BIDo6Wi8G1jRKZBctWoSDBw/i8uXLGDRokFjce/36dYSGhsLBwQF9+/bFjRs3sHnzZuzYsQMnT55Ep06dtBp8VfB8aQERERFRWYyQDSMdThpVgGyd9V0VaZTINm7cGKmpqbh69SpatmypcuzGjRvo06cP7O3tsXz5cly/fh1ubm5YsGABDh8+rJWgqxLOWkBERETqqiVRwFCiu0mjcnU42lsVafQnwfLly+Hr61ssiQWA1q1bw9fXV5ymoU2bNnjvvfdw9uzZV4uUiIiIqJqTIU/nG1A0/Za9vT2Cg4Mr+Y51S6M/Ce7evQsDg9JPNTAwUFmy1dbWFgqFfv2FQERERPSi2pIs1Jbo7jn7QklRaYG+1MhqNCL72muvYf369cWWHwOA5ORkrF+/Hq+99pq479atWxovdUZERERUU8iQBwMdbsoRWX2hUSK7YsUK3L9/H61bt8bEiROxZMkSLFmyBBMnTkSbNm1w//59rFixAkDRhLdbtmyBh4eH1oIODg6Gra0tjIyM4OrqivPnz5fZfs+ePbCzs4ORkREcHBxw5MgRleNTpkwptrzbwIED1Y6FS9QSERGROgwkeTrf9InG88jGxcUhMDAQYWFhePbsGYCiKbc8PT2xePFidOnSRauBKu3atQuTJk3Chg0b4OrqitWrV2PPnj2Ij4+HpaVlsfZnz55Fr169EBQUhKFDh2L79u1YtmwZYmNj0aFDBwBFiWxKSgo2b94snieXy1GvXj214+I8skRERFQaZZ5w89c1qFvHWGfXeZr1DK0GzNKbeWRfeUGEwsJCPHjwAABgaWkJqVR3U0oAgKurK5ydnbFu3Trx+jY2NpgxYwbmz59frL23tzeysrJw6NAhcV+3bt3g6OiIDRs2AChKZNPS0nDgwAGN42IiS0RERKVR5gmJv66AqQ4T2YysZ7AdMFdv8pFXzjqlUinMzMxgZmam8yQ2NzcXMTEx8PT0VLm+p6cnIiMjSzwnMjJSpT0AeHl5FWsfHh4OS0tLtGvXDtOnT8ejR4/KjEWhUCAjI0NlIyIiIiqLIRQwRI4ON/16uF7jzDMpKQk+Pj6wsrKCiYkJTExMYGVlhalTp+L27dvajFGUmpqKgoICWFlZqey3srJCcnJyieckJye/tP3AgQOxdetWhIWFYdmyZYiIiMCgQYPKXOQgKChITODNzMxgY2PzCndGRERE+kAuydb5pk80mn7r6tWr6NGjB9LS0tC/f3+0b99e3L9161aEhITg9OnTaNeunVaD1ZVx48aJ/3ZwcEDHjh3RqlUrhIeHo1+/fiWeExAQAD8/P/HjjIwMJrNERERUJgPkw0CHMwsYIF9nfVdFGiWy8+fPh1QqRVxcHBwcHFSOXbp0Cf369cP8+fPx888/ayVIJQsLC8hksmLTfqWkpJQ6vZe1tXW52gNAy5YtYWFhgRs3bpSayMrlcsjl8nLeAREREem1x8uAHB32/++ArLOzs1487KVRaUFERARmzpxZLIkFgA4dOuCDDz5AeHj4q8ZWjKGhIZycnBAWFibuKywsRFhYGNzc3Eo8x83NTaU9ABw/frzU9kDRgg+PHj1Co0aNtBM4EREREQAUVMCGogURrly5UqOTWEDDEdm8vDwYG5f+xF3t2rWRl6ebYXM/Pz9MnjwZXbt2hYuLC1avXo2srCz4+PgAACZNmoQmTZqIS+TOmjULvXv3xsqVKzFkyBDs3LkTFy5cwMaNGwEAmZmZWLJkCcaMGQNra2vcvHkTH374IVq3bg0vLy+d3AMRERHpqcJ/N132r0c0SmQ7d+6M7777Dm+99RbMzMxUjmVkZGDTpk06m0fW29sbDx8+xKJFi5CcnAxHR0eEhoaKD3QlJSWpzJ7g7u6O7du34+OPP8aCBQvQpk0bHDhwQJxDViaT4c8//8QPP/yAtLQ0NG7cGAMGDMDSpUtZOkBERETaxURWqzSaR/b333/HwIED0aBBA/j4+KBt27YAgPj4ePzwww949OgRQkNDtbqaV1UVHByM4OBgFBQU4Nq1a3ozbxsRERGpT5xvfjNgWluH18kGzHygN/mIxgsi/Pbbb5g3bx7++OMPlf2Ojo5Yvnx5qQ9J1VRcEIGIiIhKI+YJmyogkZ2mP4msRqUFAODp6Ym4uDgkJyeL88Y2b968zNkAiIiIiPTacw9k6ax/6M+sBRonskrW1tbFktegoCAsXrwYCoV+rS5BREREVCYBuq1j/fd99ujoaI7IaqqwsBD5+fo1IS8RERHRS/FhL63SSSJLRERERCXI/3fTZf96hIksERERUUURIL79r7P+9QgTWSIiIqKKwtICrVI7kX38+LHanWZnZ2sUTHX0/DyyRERERGWqoNKCjIwMld1yubxGLvSk9jyyUqkUEolErU4FQYBEItGr5I7zyBIREVFpxDxhOWBqrMPrPAPM5hXfHxgYiMWLF+vuwpVE7RHZRYsWqZ3IEhEREVEJKqi0oHXr1pDJZHj77bfx9ttv18jRWKAciWxNzOKJiIiIKlQBdFta8O+b4TExMXrxDjEf9iIiIiKqKHzYS6uk6jTasWMH1CylVSEIAnbs2FHu84iIiIhqJKECNj2iViI7e/ZstG3bFl999RUSEhJe2v7GjRv44osv0Lp1a8yZM+eVgyQiIiKqEfIrYNMjapUW3Lp1C6tXr8bKlSsREBAAW1tbdOnSBS1atEC9evUgCAKePHmChIQEXLhwAXfu3EGDBg0wc+ZMJrJERERESiwt0Cq1p98CgPz8fISEhODgwYM4e/Ysbt68KZYcSCQStGrVCm5ubhgxYgSGDRuGWrVq6SzwqobTbxEREVFpxDzhY8DUSIfXyQHMPoPe5CPletjLwMAAo0aNwqhRowAABQUF4kIJ9evXh0wm036ERERERDVFBS2IoC9eadYCmUyGhg0baisWIiIioppNgG7f/tezh704/dYr4hK1REREpLYCiHO96qx/PVKuGlkqHWtkiYiIqDRinuAHmOpwka0MBWC2Sn9qZNWafouIiIiItKCwAjYAzs7OsLe3R3BwcMXcVyVhaQERERFRRamg0oLo6Gi9GJFlIktERERUUTiPrFZpLZEVBAEnTpyAQqFAjx49ULduXW11TURERFQzMJHVKo1qZBcuXAgPDw/xY0EQMGDAAPTv3x9DhgyBg4MDbt68qbUgiYiIiGqEAuh2eVo9m7VAo0R23759cHFxET/eu3cvwsLC8Nlnn+HQoUMoKCjA4sWLtRUjERERUc0gVMCmRzQqLbh37x5at24tfrx//37Y29sjICAAADB9+nSsX79eOxESERER1RQsLdAqjRJZAwMDKBQKAEVlBWFhYZg0aZJ43MrKCqmpqdqJkIiIiKimyK3m/VcxGpUWdOjQAT/++COePHmCzZs349GjRxgyZIh4/Pbt27CwsNBakEREREQ1QgXNI6svNBqRXbRoEYYNGyYmq927d1d5+Ovw4cNwdnbWToRERERENUU+dLscVb4O+66CNEpk+/fvj9jYWBw/fhzm5ubw9vYWjz158gS9evXCiBEjtBYkERERUY2ggG5HTfN02HcVJBEEQc+eb9MNcQ1lPVnbmIiIiNQn5glDAdNaOrxOHmB2CHqTj7zS4HZUVBSCgoIwZ84cXL9+HQCQnZ2N2NhYZGZmaiXAkgQHB8PW1hZGRkZwdXXF+fPny2y/Z88e2NnZwcjICA4ODjhy5IjK8f3792PAgAFo0KABJBIJLl68qLPYiYiISI+xRlarNEpkc3NzMXr0aHTv3h0LFy7E2rVrcefOnaIOpVIMGDAAa9as0WqgSrt27YKfnx8CAwMRGxuLTp06wcvLCw8ePCix/dmzZzF+/HhMmzYNcXFxGDlyJEaOHIlLly6JbbKystCjRw8sW7ZMJzETERERASgqLcjR4aaouFupCjQqLfjoo4/w3//+F+vWrYOHhwfatWuH3377DX379gVQNI9sTEzMS0dKNeHq6gpnZ2esW7cOAFBYWAgbGxvMmDED8+fPL9be29sbWVlZOHTokLivW7ducHR0xIYNG1TaJiYmokWLFoiLi4Ojo2O54mJpAREREZVGzBN6A6YaPaGk5nXyAbMI/Skt0Oil3LFjB6ZPn4533nkHjx49Kna8ffv22LNnzysH96Lc3FzExMSICy8ARSPAnp6eiIyMLPGcyMhI+Pn5qezz8vLCgQMHtB4fEVGFcZdUdgRE1dvZSnpEKBe6fftfg1kLgoODsXz5ciQnJ6NTp074+uuvVVZwfdGePXvwySefIDExEW3atMGyZcswePBg8fj+/fuxYcMGxMTE4PHjxyUOEObk5MDf3x87d+6EQqGAl5cXvvnmG1hZWZUrdo1KCx48eAAHB4dSj8tkMmRnZ2vSdZlSU1NRUFBQ7CatrKyQnJxc4jnJycnlaq8uhUKBjIwMlY2IiIioTPkVsJVDZZVszpkzByEhIdizZw8iIiJw//59jB49unzBQ8NE1sbGBlevXi31+JkzZ1SWsK2JgoKCYGZmJm42NjaVHRIRERFVdQXQbRJbUL5wVq1ahbfffhs+Pj6wt7fHhg0bULt2bXz//fcltl+zZg0GDhyIefPmoX379li6dCm6dOkilnwCwMSJE7Fo0SJ4enqW2Ed6ejo2bdqEVatWoW/fvnBycsLmzZtx9uxZREVFlSt+jRLZCRMm4P/+7/9U3s6XSIre5vr222+xe/dulSVrtcXCwgIymQwpKSkq+1NSUmBtbV3iOdbW1uVqr66AgACkp6eLm/JhNyIiIqJS5VbApm4o/5ZsPp9wqlOy+WKC6uXlVWr7ksTExCAvL0+lHzs7OzRr1qxc/QAaJrILFy6Eu7s7evXqBQ8PD0gkEsyZMwfNmjXDu+++i4EDB2LOnDmadF0mQ0NDODk5ISwsTNxXWFiIsLAwuLm5lXiOm5ubSnsAOH78eKnt1SWXy2FqaqqyEREREZWpCpUWVFbJZnJyMgwNDWFubv5K/QAaPuxlaGiI0NBQ/PTTT9i7dy8KCgqgUCjQsWNHfPbZZ5g4caI4Qqttfn5+mDx5Mrp27QoXFxesXr0aWVlZ8PHxAQBMmjQJTZo0QVBQEABg1qxZ6N27N1auXIkhQ4Zg586duHDhAjZu3Cj2+fjxYyQlJeH+/fsAgPj4eABFo7kvG7kNDg5GcHAwCgrKOZZPRERE+icfgC6fM9OzdETjCSAkEgnefPNNvPnmm9qM56W8vb3x8OFDLFq0CMnJyXB0dERoaKj410FSUhKk0v8NNLu7u2P79u34+OOPsWDBArRp0wYHDhxAhw4dxDa//PKLmAgDwLhx4wAAgYGBWLx4cZnx+Pr6wtfXV5xWg4iIiKhUedBtslmOGREqq2TT2toaubm5SEtLUxmV1aT0k0vUagnnkSWiCsXpt4heTQVPvyXmCU0A01daV/Ul1ykEzO4Bbdu2hUwmEwfcSuPq6goXFxd8/fXXAIpKNps1a4YPPvig1Pn5s7OzERISIu5zd3dHx44d1Z6fPz09HQ0bNsSOHTswZswYAEXvhtvZ2SEyMhLdunVT+341GpFVLnxQFolEUqw2tSZiaQERERGpLR8aPqGkpn9HZKOjo9UaWKuMkk0zMzNMmzYNfn5+qF+/PkxNTTFjxgy4ubmVK4kFNExkCwsLi9XAFhQU4Pbt27hz5w5at26NJk2aaNJ1tcPSAiIiIlKbAoAu31Ap50BzZZVs/ve//4VUKsWYMWNUFkQoL62XFhw6dAjvvPMODh8+jM6dO2uz6yqNpQVEVKFYWkD0aiqrtMAUMNXht2+GAJhlqF9aUN1pfbXfoUOH4s0338Ts2bMRERGh7e6rHJYWEBERkdryUSEjsuqWFlR3OqnSaNWqFaKjo3XRdZXj6+uLK1eu6M39EhER0SvIqYBNj2h9RDY/Px+7d++GhYWFtrsmIiIiqt4KUaVqZKs7jRLZqVOnlrg/LS0NUVFRSE5OxqpVq14pMCIiIqKaJh9Avg6TTeXCXs7OzqyRLc3vv/9ebNYCiUSCevXqoUePHnjrrbcwYMAArQRIREREVFNkAZDpuH9Af2pkNUpkExMTtRxG9cWHvYiIiEhd+Sha3EuX/esTruylJZx+i4gqFKffIno1lTT91hUAdXV4nacA7AG9yUfUGpE9efKkRp336tVLo/OIiIiIaqI86HZEVtk3a2Sf06dPn2I1sWURBAESiYRvtxMRERE9p6JKC1gj+5wTJ07oOo5qizWyREREpK4c6GDu0xf61yeskdUS1sgSUYVijSzRq6mkGtkTAEx0eJ1MAB5gjSwRERERaRlnLdAujRPZnJwc7Nu3D7GxsUhPT0dhYaHKcYlEgk2bNr1ygEREREQ1RQ50O4+ssrSAD3uV4fbt2/Dw8EBiYiLMzc2Rnp6O+vXrIy0tDQUFBbCwsICJiS4HzomIiIiqn4qatUBfHvaSanLSvHnzkJ6ejqioKFy7dg2CIGDXrl3IzMzEsmXLYGxsjGPHjmk7ViIiIqJqTVlaoKtN30oLNEpkf//9d7z//vtwcXGBVFrUhSAIkMvlmDdvHvr164fZs2drM84qKzg4GPb29nB2dq7sUIiIiKiKy6mATZ9olMhmZ2fD1tYWAGBqagqJRIL09HTxuJubG06fPq2VAKs6X19fXLlyBdHR0ZUdChEREVVxuRWw6RONEtlmzZrh7t27AAADAwM0adIEUVFR4vErV67AyMhIOxESERER1RAsLdAujR726tu3Lw4ePIjAwEAAwJQpUxAUFIQnT56gsLAQ27Ztw6RJk7QaKBEREVF1lwWg8KWtNPfs3/9z1oIyzJ8/H9HR0VAoFJDL5ViwYAHu37+PvXv3QiaTYcKECVi1apW2YyUiIiKq1gqh20RW2be+zFrAlb20hCt7EVGF4speRK+mklb2CgKgy+LLHAAB4MpeZTpy5Ai8vLwgk+lySl8iIiKimiULQIEO++esBWoYOnQorKys8M477yAsLKzYql5EREREVFxBBWz6RKNE9ujRoxg+fDj27t2LAQMGoFGjRvD19cWpU6e0HV+Vx3lkiYiISF05KHogS1ebvo3IvlKNbF5eHo4dO4Zdu3YhJCQET58+RaNGjfD666/D29sbbm5u2oy1SmONLBFVKNbIEr2aSqqRnQVArsPrKACsgf7UyGrtYa/c3FwcPXoUu3btwi+//IKcnBzk5+vPbGZMZImoQjGRJXo1lZTIzgQgl+ju+1chCFgL/UlkNSotKElmZiYePHiAlJQU5OTkgJMhEBEREakqrIANKJpH1t7eHsHBwRVyX5VFo1kLlNLT07F//37s2rULJ06cQF5eHhwcHPDpp5/C29tbWzESERER1QiFkqJNZ/0DgKA/88hqlMhu27YNu3fvxvHjx5Gbmws7OzssWLAA3t7esLOz03aMRERERDWC8O+my/71iUaJ7OTJk9GyZUv4+/vD29sbHTt21HZcRERERDVOISQohO6GZItKC/QnndUokY2OjoaTk5O2YyEiIiKq0QQdlxYI4n/0g0YPe72YxKampqJly5aIjIzUSlBERERENZFQAZs+eaWHvZQKCgqQmJiIZ8+eaaM7IiIiohqpUCJBoQ6n32JpARERERHpxPNTZOmqf32itXlk9RWXqCUiIiJ1sbRAu7SSyJqYmCAwMBAtW7bURnfViq+vL65cuYLo6OjKDoWIiIiqOOU8srrc9Em5SgtycnJw8OBBJCQkoEGDBhg6dCgaNWqEOnXqIDAwUFcxEhEREdUIFTP9lv5QO5F98OAB3N3dkZCQIC4/W7t2bRw4cACenp46C5CIiIiophAkRZvO+v/3/87OzpDJZPD19YWvr6/uLljJ1E5kly5disTERMyZMwd9+/bFjRs3sHTpUrz77ru4efOmLmMkIiIiqhEK/t102T/AJWqL+fXXXzFp0iSsWLFC3GdlZYUJEyYgPj4e7dq100mAREREREQlUfthr6SkJPTo0UNlX48ePSAIAlJSUrQeGBEREVFNUyiRoECHmy7nqK2K1B6RVSgUMDIyUtmn/Dg/P1+7URERERHVQJxHVrvKNWtBYmIiYmNjxY/T09MBANevX4e5uXmx9l26dHm16IiIiIhqEsm/G2mFRFBOQfASUqkUkhKGqwVBKLZfua+gQJflzFVLRkYGzMzMkJ6erhfF1URUydz5m5DolZyt2KUDlHnCKHkt1NLh2/95goCfFXl6k4+oPSK7efNmXcZBREREVOPpetEClhaUYvLkybqMg4iIiKjG0/Uysvq2RG25amSJiIiISHNc2Uu7mMgSERERVRCWFmiX2vPIVpTg4GDY2trCyMgIrq6uOH/+fJnt9+zZAzs7OxgZGcHBwQFHjhxROS4IAhYtWoRGjRrB2NgYnp6euH79ukqbzz//HO7u7qhdu3aJsy8QERERaYNQAZs+qVKJ7K5du+Dn54fAwEDExsaiU6dO8PLywoMHD0psf/bsWYwfPx7Tpk1DXFwcRo4ciZEjR+LSpUtim6+++gpr167Fhg0bcO7cOdSpUwdeXl7IyckR2+Tm5uKNN97A9OnTdX6PREREpL+UI7K63PSJ2tNvVQRXV1c4Oztj3bp1AIDCwkLY2NhgxowZmD9/frH23t7eyMrKwqFDh8R93bp1g6OjIzZs2ABBENC4cWP4+/tj7ty5AIrmvrWyssKWLVswbtw4lf62bNmC2bNnIy0trdyxc/otIqpQnH6L6NVU0vRb/WvLdT791vFshd7kI1VmRDY3NxcxMTHw9PQU90mlUnh6eiIyMrLEcyIjI1XaA4CXl5fYPiEhAcnJySptzMzM4OrqWmqfRERERLpSFUsLqnNZZ5VJZFNTU1FQUAArKyuV/VZWVkhOTi7xnOTk5DLbK/9fnj7VpVAokJGRobIRERERlUXQcVmBUM7B3upe1slZCzQUFBSEJUuWVNj1+pnWrrBrEdVEYRnZlR0CEVGVm0d21apVePvtt+Hj4wMA2LBhAw4fPozvv/++xLLONWvWYODAgZg3bx4AYOnSpTh+/DjWrVsnlnWuXr0aH3/8MUaMGAEA2Lp1K6ysrHDgwAGxrFOZQ23ZskWzG/1XlRmRtbCwgEwmQ0pKisr+lJQUWFtbl3iOtbV1me2V/y9Pn+oKCAhAenq6uN25c+eV+iMiIqKaTzmPrC43ddWEss4qMyJraGgIJycnhIWFYeTIkQCKHvYKCwvDBx98UOI5bm5uCAsLw+zZs8V9x48fh5ubGwCgRYsWsLa2RlhYGBwdHQEUFVufO3fulYey5XI55HK5+LHymTldlRjkV51n8oiqpRpX/pNf2QEQVXMV8DOhbt26kLzwYFcugEIdjsmW50dDWWWdV69eLfGcyizrLEmVSWQBwM/PD5MnT0bXrl3h4uKC1atXIysrSxzunjRpEpo0aYKgoCAAwKxZs9C7d2+sXLkSQ4YMwc6dO3HhwgVs3LgRACCRSDB79mx89tlnaNOmDVq0aIFPPvkEjRs3FpNlAEhKSsLjx4+RlJSEgoICXLx4EQDQunVrmJiYlBlzcHAwgoODkZubCwCwsbHR8qtCRNpgZmZW2SEQUVVSAT8Tnp85wNDQENbW1jirg2TuRdbW1jA0NNT5daqCKpXIent74+HDh1i0aBGSk5Ph6OiI0NBQMatPSkqCVPq/agh3d3ds374dH3/8MRYsWIA2bdrgwIED6NChg9jmww8/RFZWFt555x2kpaWhR48eCA0NhZGRkdhm0aJF+OGHH8SPO3fuDAA4ceIE+vTpU2bMvr6+8PX1RWFhIe7fv1/iX19U82VkZMDGxgZ37tzRi+lOiKhs/JlAQNGIrJKRkRESEhLEgS9dMjQ0VMlzSqPrss5GjRqptFG+O65NVWoeWaLqivMIE9Hz+DOBqgtXV1e4uLjg66+/BlBU1tmsWTN88MEHpc7hn52djZCQEHGfu7s7OnbsqDKH/9y5c+Hv7w+g6PvB0tJS63P4A1VsRJaIiIiIKk51LOt8HhNZIiIiIj1VHcs6n8fSAiItUCgUCAoKQkBAgMpsFkSkn/gzgahiMJElIiIiomqpyiyIQERERERUHkxkiYiIiKhaYiJLRERERNUSE1kiIiIiqpaYyBIRERFRtcREloiIiIiqJSayRC8RERGBvXv3VnYYRERE9AImskSlEAQBOTk5mDFjBm7evFnZ4RBRFXD69GmcOHECv/76a2WHQkTgErVEJRIEARKJBEZGRujatauYyBYWFqos1UdE+iMgIAB79uxB3bp1ce/ePfTs2RNBQUFo27ZtZYdGpLf4G5moBCkpKeK/mzRpgosXL0IQBEilUnAxPCL9s3btWmzatAk7d+5EXFwcPvnkE/z8889ITU2t7NCI9BoTWaIXnDt3Ds7OznBycsKgQYOQkpKC/Px8HDlyBJmZmXj27Fllh0hEFezy5cv46KOP0LVrV+zevRuLFi3CN998A3d3d+Tk5FR2eER6SyJweIlIxV9//YUHDx7g0qVLuHHjBu7fv4+ff/4ZrVu3RmZmJqytrdGuXTu4uLhgzpw5lR0uEelYbm4uXFxcMH36dHTs2BEDBgzA8uXL8d577yE/Px8LFiyAm5sbRo0aVdmhEukd1sgS/Ss7OxuGhoZo3749HBwc0K9fPwBFiW1UVBTWr1+PrKws3Lx5ExcvXsSgQYMqOWIi0qUnT56gXr16MDQ0hI+PDzZu3IhLly5hw4YN8PHxAQBkZmbizz//RL169So5WiL9xESWCMCRI0fw448/4vr163BxccGQIUMwePBgAICDgwNsbGyQlJQk/vJSPgxGRDXTjz/+iI8//hjHjh1Du3bt0LVrV+zZswddunSBg4MDAODu3bt49913kZ6ejg8//LCSIybST6yRJb33yy+/YMyYMXjttdcwbdo0PHr0CMOHD0d8fDyAoqS1Tp06OHfuXCVHSkQVYf/+/UhPT0dSUhLefvtt3Lx5E927d4efnx/kcjmGDRuG9u3bY/jw4Xj06BFOnjwJmUyGgoKCyg6dSO+wRpb0WlpaGt544w0MGTIEs2fPxsOHD+Ho6IjRo0fj66+/Ftv5+/sjMTERO3fuhIGBAUdjiWqo+fPnY9u2bZg7dy5u3ryJY8eOwdDQECEhIWjZsiXi4+Nx8+ZNXL9+Ha1atcKgQYMgk8mQn58PAwO+yUlU0ZjIkl57+PAh3N3dsWvXLlhbW8PFxQWDBw/Gxo0bAQD79u1Dt27dcPnyZTRt2hT29vaVHDER6cqVK1fQr18/bNy4EcOGDQMAJCQkYMyYMcjNzcWBAwfQunXrYucVFBRAJpNVdLhEBJYWkJ66ePEi7ty5AzMzM7Rv3x6xsbHo3r07Bg8ejPXr1wMoqn87fPgwoqOjMWDAACaxRDXcs2fPoFAo0KZNGwBFC6C0aNECW7duxf3798UyA+UxJSaxRJWHiSzpnQMHDmDIkCHYuHEjDAwM0KxZM7zzzjvo3LkzNmzYIP5SCg4Oxrlz5+Dk5FTJERNRRejYsSNMTEzw/fffA4C4il/Tpk3Rpk0bxMXF4Y033hCP8Q1NosrHgh7SK4cPH8aECROwdu1aDBw4EFKpFOvWrUNmZiaOHDmCZcuWQSqV4tatW9ixYwdOnToFGxubyg6biHTkt99+Q2ZmJgRBwKhRo/D+++/j559/xsqVK+Hv7w8AkMvlaNu2LVauXInx48djwYIF+OKLL1grT1QFMJElvZGTk4MffvgBc+bMwVtvvYXs7Gxcu3YNv/zyC0aPHo20tDScPHkSKSkp6NChA86ePYsOHTpUdthEpCMBAQHYtm0bLC0t8ffff2PatGkYNWoUUlJS8P333+PMmTNwd3fHwYMHoVAo0LVrV9jb23NZWqIqhIks6Q1BEJCQkABra2s8fvwYgYGB+PPPP3Hjxg3UqlULM2fOxDvvvAOpVAoDAwMYGhpWdshEpCNfffUVfvjhBxw4cAAuLi5Yt24dZs6ciWfPnmHSpElwcXHBN998g5CQEFhZWWH79u0wNDRErVq10KBBAwCcT5qoKmCNLOkNY2NjzJgxA9999x1atGiBe/fuYdq0abh37x5GjBiBQ4cOwcjICLVr12YSS1SD3b9/H1euXMF///tfuLi4YP/+/Vi0aBEWLlyIvXv3YuPGjXB3d8epU6cQERGBvXv3wtDQEPPmzcOFCxcwdepUAGASS1QFcESW9MqkSZPQtWtX3Lt3D/379xefPC4oKICNjQ0KCgo4FyRRDVe/fn2MGDECHh4euHDhAvz9/bF48WLMnDkT5ubmmDdvHu7du4dt27bBxsYGf/zxBzZt2oRDhw7h6NGj4qwGRFT5OI8s6bWrV69i27ZtCA4OxunTp1kTS6Qn8vLyUKtWLXz55Zc4ffo0fvrpJ5iZmWHdunU4f/48Hj58iMOHD4szF/z2229o164dH/4kqmI49ER6KyYmBitXrsTFixcRERHBJJZIjyjfebl27RrS09MhkUiQk5ODY8eO4c0334S3tzeA/yW8np6elRkuEZWCI7Kkt549e4YLFy7A1taWoyxEeioqKgq9evVCu3btoFAoYGRkhNjYWJYYEVUTTGSJiEivxcbGYv/+/TA1NYWfnx8MDAyQn5/PZJaoGmAiS0RE9BwmsUTVBxNZIiIiIqqWOI8sEREREVVLTGSJiIiIqFpiIktERERE1RITWSIiIiKqlpjIEhEREVG1xESWiIiIiKolJrJEREREVC0xkSUiIiKiaomJLBERERFVS0xkiYiIiKhaYiJLRERERNXS/wN6d7nHDOu/hgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot p-values\n", "xticklabels=[\"sex\",\"age\"] \n", "graphics.plot_p_values_bar(result_multivariate[\"pval\"], title_text =\"Barplot of uncorrected p-values\",\n", " figsize=(7, 3), alpha=0.05, xticklabels=xticklabels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Multiple Comparison**\\\n", "Applying p-value correction using Benjamini/Hochberg to take into account the risk of type 1 errors (false positive) when doing to multiple testing." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pval_corrected, rejected_corrected =statistics.pval_correction(result_multivariate[\"pval\"], method='fdr_bh')\n", "# Plot p-values\n", "graphics.plot_p_values_bar(pval_corrected, title_text =\"Barplot of corrected p-values (fdr_bh)\",\n", " figsize=(7, 3), alpha=0.05, xticklabels=xticklabels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Extra**\\\n", "Now we can try to apply FWER correction directly as a multiple compartion test while doing the permutation testing" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of possible permutations is exp(1586.6248450207656).\n", "Generating 10000 shufflings (permutations only).\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 10000/10000 [00:01<00:00, 5754.79it/s]\n" ] } ], "source": [ "# Set the parameters for between-subject testing\n", "method = \"multivariate\"\n", "Nnull_samples = 10_000 # Number of permutations (default = 0)\n", "test_statistic_options = True\n", "FWER = True\n", "# Perform across-subject testing\n", "result_regression_FWER =statistics.test_across_subjects(D_data=FO, \n", " R_data=data_behavioral, \n", " method=method,\n", " Nnull_samples=Nnull_samples, \n", " dict_family=dict_fam, \n", " FWER_correction=FWER)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot FWER corrected p-values" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "graphics.plot_p_values_bar(result_regression_FWER[\"pval\"], title_text =\"Barplot of corrected p-values (FWER)\",\n", " figsize=(7, 3), alpha=0.05, xticklabels=xticklabels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Conclusion - Multivariate test**\\\n", "The multivariate test revealed significant differences in FO for both 'sex' and 'age.' This indicates that variations in brain states collectively contribute to explaining the observed differences in these behavioral measurements.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Across subjects - Univariate \n", "The univariate analysis evaluates pairwise relationships between individual brain states ($D$, represented by FO) and behavioral measurements ($R$, such as sex and age). This approach assesses how strongly each brain state is associated with each behavioral measurement independently, focusing on one pair of variables at a time.\n", "\n", "If the results are significant, it suggests that the brain’s response to a specific behavioral measurement is consistently related across subjects. A non-significant result indicates that the observed relationships might be due to random chance.\n", "\n", "To run the across_subjects test, we set the following parameters:\n", "\n", "**Inputs:**\n", "\n", "* ```D_data```: The state fractional occupancies (FO).\n", "* ```R_data```: The behavioral measurements (e.g., sex and age).\n", "\n", "**Settings:**\n", "* ```method``` = \"correlation\": Specifies that the test should perform pairwise correlation analysis.\n", "* ```dict_fam```: Information about family structure for the subjects.\n", "\n", "Additional settings allow for confounding variables to be accounted for during permutation testing. For details on these options, refer to the function documentation." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of possible permutations is exp(1586.6248450207656).\n", "Generating 10000 shufflings (permutations only).\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 10000/10000 [00:02<00:00, 4756.43it/s]\n" ] } ], "source": [ "# Set the parameters for between-subject testing\n", "method = \"univariate\"\n", "Nnull_samples = 10_000 # Number of permutations (default = 0)\n", "test_statistic_option=True\n", "# Perform across-subject testing\n", "result_univariate =statistics.test_across_subjects(D_data=FO, \n", " R_data=data_behavioral, \n", " method=method,Nnull_samples=Nnull_samples,\n", " dict_family=dict_fam)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Visualization of results**\\\n", "Now that we have performed our test, we can then visualize the p-value and correlation matrix.\\\n", "We will import the function ```plot_heatmap``` from module ```helperfunctions.py```" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot p-values\n", "alpha=0.05 # p-value threshold\n", "graphics.plot_p_value_matrix(result_univariate[\"pval\"], title_text =\"Heatmap of original p-values\",\n", " figsize=(7, 3), ylabel=\"HMM states\", alpha=alpha, \n", " xticklabels=xticklabels,normalize_vals=True, annot=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Visualization correlation coefficients (base statistics)**\\\n", "Now we can look at the correlation coefficients between the HMM states and the corresponding behavioral parameters \"sex\" and \"age\"." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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uXQWu48KFCyilCAkJyfVo91779ul0OiDvI0HF/bncrV+/fri4uLBy5coHPr7N+Tm6uLhQrVo1zp07ZzHQ+nd7nZ2dqVu3LidPnrTaI+37yZl68McffxSofIsWLdBoNIX6c/Qgef0zY2tryyOPPMLMmTOZP38+SinWrl1rtXbl9zuUM02jd+/eua5Z+r7k97tSUAX5Ht/vek5akyZNiq6RQpQgCQpFodSoUYNJkyYRExNDt27duHjxYq48aWlpzJ071zQXyc7OjkGDBhETE8Ps2bPN8m7YsIGNGzdSo0aNIhv1GDFiBM7Ozrz++uscP3481/WUlBTTnKl78ff3B2Dnzp1m84+uXbvGlClTLJYpX748AFevXs1TO4v7c7mbm5sbH3zwAenp6XTv3p1Dhw7lymMwGPjmm294/vnnTWnDhg0jMzOTKVOmoJQypR85coQlS5bg6upqtsXI+PHjSUlJYdSoURYfs168eJFLly4VZddMevXqReXKlfn+++/ZuHFjrusPGkH09vZmwIAB7Ny5kw8++MCsvznCw8MtBvR5db8/M/v377c4dSBntMqar/fr3bs3VapUYe7cuWzfvj3X9czMTP7++2/Tec735e40gGXLlrF+/fpc5d3d3dFoNHn+rhRUQb7HOd566y2zx8Tx8fHMmjULjUbDsGHDrNNgIYqZPD4WhTZr1izS0tL46KOPqF27Nh07dqRBgwbY2tpy8eJFNm/eTGxsLLNmzTKVydkTbNasWezcuZOgoCAuXbrEzz//TLly5Vi8eDFabdH8zlKhQgXTfnmNGzema9eu1KlTh/T0dC5dusS2bdto3bo1GzZsuGcdPj4+PPHEE6xcuZLmzZvTqVMnIiMjWbt2LZ06dbK4gKVjx46sWLGCJ554gm7dumFvb0/jxo3p2bPnPe9TnJ/Lvz333HMkJCTw6quv0rRpU9q2bUuTJk1wcHDg+vXrhIWFcf36dZ599llTmUmTJrFu3Tq+++47Tp48SadOnYiKimL58uVkZWWxaNEis0UUo0ePZvfu3XzzzTfs2LGDkJAQfH19iYyM5NSpU4SHh7Ns2bJc+9MVBb1ez08//UTXrl3p1q0bXbt2pXHjxiQkJHDo0CFSUlIeuGDg008/5fTp00yaNInvvvuOVq1a4ebmxtWrV9m3bx9nz57l5s2bBX59YYcOHdBoNLz22mscP34cV1dX3NzcGDt2LN999x2ff/45bdu2pXr16ri4uHDixAnWr19P+fLlGTFiRIHumRd6vZ4VK1bQrVs32rVrR8eOHWnYsCEajYbLly/z119/4eHhYRplfvrpp3nvvfcYN24cW7Zswd/fn8OHDxMWFsbjjz/OqlWrzOp3cnKiRYsWbN++naeffpqaNWui1Wp5+umnTYFcUSjI9zhHrVq1aNCggdk+hdeuXWPixImmxTVCPPRKbuGzKGv27t2rnnnmGVWjRg3l4OCg9Hq9CggIUIMHD1abNm3KlT86OlqNHz9e+fv7K1tbW+Xp6an69et33zd3XLx40eK9c95ocj+nTp1SI0eONL1Vwt3dXTVs2FCNHz9e7dmzxywvFrakSUxMVC+99JIKCAgwvQXhrbfeUhkZGRbzZ2ZmqkmTJqkqVaooGxubfL3RpCg+l/ttb3I/p06dUmPHjlX16tVTTk5OytbWVlWqVEn16dNHrVixItcbHJKSktQbb7yhatWqZdqbsFu3bhbf8JFj+fLlKiQkRLm7u5vqb9++vfrwww9VdHS0KV9RbkmT49y5c2rkyJGqcuXKytbWVlWsWFG1b9/ebOuc+9WdkpKi3n//fdWsWTPl6OioHBwcVNWqVVWfPn3Ut99+qzIzM01577ct0b1+dkuWLFENGzZUer3e7I0mu3fvVqNHj1YNGjRQbm5uysHBQdWsWVONHTvW4t6dlhT2jSbXrl1TEyZMUDVr1lR6vV65uLiounXrqmeffVaFhYWZ5T106JDq0qWLcnd3V87Ozqpdu3Zq8+bN9/zZnD59Wj322GPKzc1NaTSae77R5N/u9x2w9Pnn93t89xtNJk2aZHqbS+3ateWNJqLM0Shl4RmIEEIIIWjfvj3btm2zOF1AiLJG5hQKIYQQQggJCoUQQgghhASFQgghhBACkDmFQgghhBBCRgqFEEIIIaxpwYIFBAQEYG9vT1BQkOld7JYcP36cJ554goCAADQaDfPmzcuVZ8aMGWg0GrOjTp06hW6nBIVCCCGEEFayfPlyJk6cyPTp0zlw4ACNGzcmNDSUqKgoi/lTUlKoVq0a7777rum99JbUr1+fmzdvmo5/bxZfELJ5tRBCCCEeemlpaWRkZFj9PnZ2dvl6g9DcuXMZNWqUaYP5hQsXsm7dOr7++mteffXVXPlbtGhBixYtACxez2FjY3PfoLEgHvqgMG3N/JJughCihMVu2VHSTRBClCCP977Bxa0Smem3rH4vb29vDh8+bBYY6vV69Hp9rrwZGRns37/f7DWKWq2WkJCQQr9H/ezZs/j6+mJvb0+rVq2YPXs2VapUKVSdD31QKIQQQoj/bRkZGWSm36JF5xXobBytdh9DVjJ7N/XDy8vLLH369OnMmDEjV/6YmBgMBkOu/F5eXqbXQhZEUFAQS5YsoXbt2ty8eZOZM2fy6KOPcuzYMbNXi+aXBIVCCCGEKBNs7JywsbVeUKjRagC4evUqLi4upnRLo4TW1K1bN9P/N2rUiKCgIPz9/fnpp58YOXJkgeuVoFAIIYQQZYJGo0Wjsd4a2py6XVxczILCe/H09ESn0xEZGWmWHhkZWaTzAd3c3KhVqxbnzp0rVD2y+lgIIYQQZYJGq7H6kR92dnY0a9aMsLAwU5rRaCQsLIxWrVoVWb+TkpI4f/48Pj4+hapHRgqFEEIIUSZotFo0WiuOFBag7okTJzJs2DCaN29Oy5YtmTdvHsnJyabVyEOHDqVSpUrMnj0byJ4feeLECdP/X79+nUOHDuHk5ESNGjUAePnll+nZsyf+/v7cuHGD6dOno9PpGDRoUKH6J0GhEEIIIcoErRa0+RzNy2/9+TVw4ECio6OZNm0aERERBAYGsmHDBtPikytXrqC9q+IbN27QpEkT0/mcOXOYM2cO7dq1Y+vWrQBcu3aNQYMGERsbS4UKFQgODmb37t1UqFChUP176F9zJ1vSCCFkSxoh/rc5v7UIV1dX2vffio2tk9Xuk5WZxNaf2xMfH5+nOYUPGxkpFEIIIUSZoNFY+fGxFRexlAYSFAohhBCiTCjIYpD81l+WSVAohBBCiDJBq9GiteJonjXrLg0kKBRCCCFE2WDlkUJkpFAIIYQQovSTx8eFI0GhEEIIIcqE4nqjSVlVqoLC7du388EHH7B//35u3rzJ6tWr6dOnT0k3S1iRUopPN+1h1Z4TJKamExjgw+t92+Hv6Xbfcj/uPMo32w8Sk5hCLR8PXu3dloZ+2Xs+xaek8emmPew6c5WIuETcHR3oUL8qY7oE4exw5/2U4eeusmDjHs5GxOJgZ0PPZnUYF/oINrqy/aUXojRy7tYfx1ad0Do4kn7xNHE/f4khOuK+ZRyDu+DUsSc6Fzcyr18mbuViMq+cN8tjF1ATl+5PYutfA5SRzGuXiVn4NmRmAmBbuSouvQZj51cdlJHUw+HEr/4WlZFutb4K65GRwsIpVf/6JScn07hxYxYsWFDSTRHFZPG2g/yw4whT+7bj+7H9cLCz4YWvfiM9M+ueZTYcPsuctX8zulMLfhw/gNo+nrzw1W/EJqUAEJWQTHRCMhO7t2blxEG8OaATO85cYcaKLaY6Tt+IYczXa2lduwrLJwzg/SGhbDtxiY9/32X1PgshzDl16oVT227E/fQlUR+9jspIw/P518DG9p5lHJq0wrXvUBI3riTqg1fJvHEZzxdeQ+t0Z+84u4CaeDz/GmmnjxA993WiP3yN5L82gDF7e16tizue/5lKVnQE0R+9TszC2dh4++E+5D9W77OwDq1Wa/WjLCtVvevWrRuzZs2ib9++Jd0UUQyUUiz9+zCjOjanQ/1q1PLxZNaAEKITkvnz+MV7lvvur0M83rI+fVrUpbpXeab2bY+9rQ1r9p4EoKa3B3Of7kb7elXx83AlqEZlxoU+wraTF8kyGAHYeOQstXw8eT6kBVU83WherRIvPtaK5buOkpyeURzdF0L8w6ndYyT+sYq0Y/vIunGF298vQOfqjkPDFvcu0747yTvDSAnfSlbkdeJ++hKVkUG5RzqY8rj2HUbS9t9J2vwLWRHXyIq6Seqh3WDI/qXTvn5TlDGL+BVfkxV1k8wr54n7aREOgY+g8/Syer9F0dPqtFY/yrKy3TtRql2/lUBMYgpBNSub0pwd9DT08+LIFcuPjTKzDJy8Hs0jd5XRajU8UqPyPcsAJKVl4GRvZ3o0nJFlwM5GZ5bH3taG9CwDJ65FF6ZbQoh80HlUROfqTvqZo6Y0lZZKxuVz2FWteY9COmz9qpmVQSnSzxzFLiC7jNbJBbuAmhgTE/B88U28Z32O57jp2FWrbSqisbFFZWXBXS/2UpnZvxTqq9Upwl6K4qLR3nmEbJ2jpHtoXWW8e6I0i0nMftzr4VTOLN3DycF07d9up6RhMKrcZZzL3btMcipfhO3liZb1TWmta1Xh8OUIfj90BoPRSGR8Ep+H7f2nXckF7pMQIn90zm4AGBLjzdINifFo/7n2b1pHFzQ6HUYLZXLq03lkj/S5dOtHyq4/if1sNpnXLuI55g10FbwBSD97DJ2LG04de4JOh8bBEdeeg7Pv4eJeRD0UxUmL1rRXoVWOMh42laqFJg+Snp5Oerr55F+VmYXe9qHqxv+sdQdP89aqrabzT0b0sPo9k9IyGLt4LdUqluf5znceRbWuVYX/PtaaWau28fryzdjqdDzXqTkHLt5EoynbE4mFKEkOzYJxGzjKdB77+btWuU/O9zh552ZSwrcCEL/6EvpaDXAM6kDC2h/IirjG7aWf4tpnKC49BoEykrTtdwwJcaCMVmmXsC5ZaFI4D1U0NXv2bGbOnGmW9vrArkx9slsJtUjkR/t6VU0rhCH7ES5AbFIKFVwcTemxSanU9vW0WId7OXt0Wo1pUYmpTGIKns7mo4fJ6Rn856vfcNTb8dHQbtjqzB8XD20byNOPNiY6MQUXBz03biUwf8NuKpcvey85F6K0SDu2j6jLZ03nmn8Wk+icXTEmxJnSdc6uZF6/ZLEOY3ICymBA6+xqlq5zdsWQmF2HIeE2AJkR18zyZEZcR+d+5++X1P07SN2/A62zKyo9DQCnDj3Iio0qUP9EyZKgsHAeqnHQKVOmEB8fb3a88kTnkm6WyCNHvR1VPN1MR3Wv8ng6lyP83J2/tJPSMjh6NZJGVbwt1mFro6NupQpmZYxGRfi5a2ZlktIyeP7LX7G10fLxsMfuOZqs0Wio6OKIva0Nvx8+i7erE3UrVSiiHgsh/k2lp2GIiTQdWRHXMMTfRl+roSmPRu+AnX8NMi6etVyJwUDm1QtmZdBo0NdqQMal7DKGW9EY4m5hU9HXrKhNRR8Mt3PPGzYmxqMy0nFo0gqVmUH66SOF76wodhqNxupHWVaqRgqTkpI4d+6c6fzixYscOnSI8uXLU6VKFfR6PXq93qxMmjw6fmhpNBqGBDdm0Z/78fd0o5K7Cwv+CKeCiyMd61c15Rv1xRo6NqjGoNaNAHj60UDe+CmM+pUr0qByRb7/+zCpmVn0aV4XuBMQpmVm8c6TnUlOzzCtKHZ3dED3z5YCS7YdoE0tfzQaCDt2ga+3HuCDIaGm60KI4pG0bT3OXfqSFX2TrNgoXB4biCH+NqlH95ryeIyZStqRvST/tTG7zNZ1uA/5D5lXzpNx5TxO7R5DY6c3PSoGSPzzN1y69Sfz+mUyr1+iXMt22FasxK2vPzLlcXw0lIyLZ1DpaehrN8Sl91Mk/LYMlWp5jrIo3bRaDVorjuZZs+7SoFRFVPv27aNDhzvbCUycOBGAYcOGsWTJkhJqlbCmEe2akJqRyZsrt5CYlkGTAB8+faan2cjetVsJxCWnmc67Nq7J7eRUPv0jnJjEFGr7evLpMz3w+Ofx8cnr0Ry9GglAj/e/N7vf+slPU+mfx8N/n77Cl3/uJyPLQC0fTz4e+hjBdfyt3WUhxL8khf2Kxk6P28Dn0DqUI/3CaWIXzoasTFMeGw8vtI7OpvPUg7vQOrng/NiA7M2rr10iZuFss8UnydvWo7G1xbXvULTlnMi8cZmYz2ZhiI005bGrUgOXbv3R6O3JirxB3PJFpO77q3g6LoqcRqtFY8Vf7K1Zd2mgUequtfgPobQ180u6CUKIEha7ZUdJN0EIUYKc31qEq6sr/f97Elu984MLFFBmeiI/f1SX+Ph4XFzK3vzzUjVSKIQQQghRUFobLTob643mGQxle6RQgkIhhBBClAnWXgwiC02EEEIIIR4CsiVN4UhQKIQQQogyQYsGrRVH87RIUCiEEEIIUerJSGHhSFAohBBCiDJBgsLCkaBQCCGEEGWCLDQpHAkKhRBCCFEmaLXWfetIGd+7WoJCIYQQQpQNMlJYOBIUCiGEEKJM0Ok06HTWC9ysWXdpUMYHQoUQQgjxvyJnoYk1j4JYsGABAQEB2NvbExQUxJ49e+6Z9/jx4zzxxBMEBASg0WiYN29erjzbt2+nZ8+e+Pr6otFoWLNmTYHa9W8SFAohhBCiTCiNQeHy5cuZOHEi06dP58CBAzRu3JjQ0FCioqIs5k9JSaFatWq8++67eHt7W8yTnJxM48aNWbBgQb7bcz/y+FgIIYQQZYJGY93Nqwsyp3Du3LmMGjWKESNGALBw4ULWrVvH119/zauvvporf4sWLWjRogWAxesA3bp1o1u3bvluy4PISKEQQgghygSNxsojhfkMCjMyMti/fz8hISGmNK1WS0hICLt27Srq7hfaQz9SaIy7XdJNEEKUMJenhpV0E4QQJUj981+NJvuwlpy6ExISzNL1ej16vT5X/piYGAwGA15eXmbpXl5enDp1ymrtLCgZKRRCCCFEmaDVaqx+APj5+eHq6mo6Zs+eXcI9LxoP/UihEEIIIQQU3z6FV69excXFxZRuaZQQwNPTE51OR2RkpFl6ZGTkPReRlCQZKRRCCCFEmaD9Z6GJNQ8AFxcXs+NeQaGdnR3NmjUjLCzMlGY0GgkLC6NVq1bF8pnkh4wUCiGEEKJM0Oo0aK24wXRB6p44cSLDhg2jefPmtGzZknnz5pGcnGxajTx06FAqVapkegSdkZHBiRMnTP9//fp1Dh06hJOTEzVq1AAgKSmJc+fOme5x8eJFDh06RPny5alSpUqB+ydBoRBCCCHKhLvn/Vmr/vwaOHAg0dHRTJs2jYiICAIDA9mwYYNp8cmVK1fQ3vVS5Rs3btCkSRPT+Zw5c5gzZw7t2rVj69atAOzbt48OHTqY8kycOBGAYcOGsWTJkgL0LJtGKaUenK30Slkys6SbIIQoYYb6LUq6CUKIEqRqB+Pq6spLn0Shd3B5cIECSk9N4MOxFYmPjzebU1hWyEihEEIIIcqEwryKLq/1l2USFAohhBCiTNBqsg9r1l+WSVAohBBCiDKhuLakKaskKBRCCCFEmaDRgtaKm+1pyvhGfhIUCiGEEKJM0GDlkUJkpFAIIYQQotTTaK07micjhcVo9uzZrFq1ilOnTuHg4EDr1q157733qF27dkk3TViJUorP/jrK6kPnSEzPpHFlT14LbYF/+fsv9V++/wzfhJ8kNimVWhXdmdylGQ18PS3WP/anrey8cJO5TzxKh1p+pmvv/bGPw9ejORcdT1UPF5aPfKzI+yeEeDClFJ+v3MDqLbtISkmjca0AXh3RnyreFe5b7qdNf/Pduj+JjU+kZhVfXhn6OA2q+5uup2dkMm/ZL/yx+yAZmVk80qgOrw7vh4ers1k9v23fw9Lft3IlIhpHB3tCWjZm8vB+VumrsC6dVoPOiqtBrFl3aVCqYt5t27YxZswYdu/ezaZNm8jMzKRLly4kJyeXdNOElSzZfZIf9p3mta4t+XZYFxxsbRizfAvpWYZ7ltl44jIfhh1gdHADlj3TjVpebvxn+RZuJaflyrt07+n7Dvb3blSdLnULvvu7EKLwvln7Jz/+sZ0pz/RnycwXsdfrGffeQtIzMu9Z5o/dB/lo6RpG9Q3l+1kvUauKL+Pe+5xb8YmmPHOXrmH7weO8O244X0wdS8zteF6Z97VZPd+v38qnP69neM9O/PTuZD599QUeaVjHan0V1qXRWP8oy0pVULhhwwaGDx9O/fr1ady4MUuWLOHKlSvs37+/pJsmrEApxbK9pxjVpgEdalWmVkV33urRiujEVLacuXrPct/vOcXjjavTu1F1qnu68nrXltjb2LDmyHmzfKcjb/PdnpPM6P6IxXomd2nOwGa1qOzmVKT9EkLknVKKHzZsY2TvLrRv1pCaVXx58/nBRMclsHX/0XuWW/r7Vvp0aEWvdkFUq+TNlBH9sdfb8eu2cACSUlL5ZWs4/x3Smxb1a1K3qh/TnxvEkbOXOHruEgAJySl8tmI9M0cPpmvrZlT28qRmFV/aNWtQHF0XVpDzRhNrHmVZqQoK/y0+Ph6A8uXLl3BLhDVcj0smJjmNoABvU5qzvR0NfD05cj3GYplMg4GTEbcIqnqnjFajISjA26xMamYWU37ZwatdWuDp5GC9TgghCuV6dCyx8Ym0bFDLlOZUzoEG1f05evaSxTKZWVmcuniNoPp3ymi1WlrWr8mRc5cBOHnxGlkGA0H170w/CvD1wtvDnSP/1Bt+9DRKKaJux9Nv0mweGzeDV+cvISL2dtF3VBQLGSksnFIbFBqNRl588UXatGlDgwbyW1tZFJOcCkB5R3uzdA9He2ItPAoGuJ2SjkEpypezUCbpTpkPNx+gceUKdKhVuYhbLYQoSrFx2Y97PVzMR+zLuzgRe9ej4LvFJSZjMBop/6+5geVdnYmNT8iuNz4BWxsdzo4OFvJk13s9KhajUbH418289FRf3pswnITkFMa8u5DMrKwi6Z8oXjmbV1vzKMtK1UKTu40ZM4Zjx47x999/m9LS09NJT083y2fIzEJvW2q7Ie6y/thFZm3YazqfP6CdVe6z9ew19lyO4MdnulmlfiFEwf2+Yz/vfP2T6Xzey6NKrC1GpcgyGHhlaF/TPMK3xwwldMw09p04R6tGMrfwYSOvuSucUhlNjR07lrVr17J9+3YqV74z0jN79mxmzpxplve13u14vU+H4m6iKIB2NSubrRDONGQvJrmVnEaFux7xxianUdvLzWId7uX06DQabqWYjyTGJqfh4ZQ9erj3UiTXbifRdu4Kszwvr/qbJn4V+HJISFF0RwhRAG2b1qdB9ZdN5xn/jMjFJiTh6e5qSr+VkEStKr4W63BzdkSn1ZotKgG4FZ+Ih2v2zgUeri5kZhlITE41Gy3MzpM9wujplp23qu+d6SjuLk64OTvKI+SHlLUf8Zb1x8elKihUSjFu3DhWr17N1q1bqVq1qtn1KVOmMHHiRLM0w/IPirOJohAc9bY46m1N50opPB3tCb8UQW0vdwCS0jM5diOG/k1rWKzDVqejrnd5wi9FmraXMSrFnssRDGyWPb9oRKt69A2sblau/5frealTU9rVrGSNrgkh8sjRwR5HhzvTP5RSeLg6s/f4GWr7Z38/k1LSOHb+Mk90am2xDlsbG+pUrcye42do37whkD3laO/xswzoHAxA3aqVsdHp2HP8DJ1aNgbg0o0oImJv06hmAACNa2X/G3P5ZhReHm4AxCclE5eYjI+ne5H3XVifvPu4cEpVUDhmzBiWLVvGL7/8grOzMxEREQC4urri4OCAXq9Hr9eblUmRR8cPLY1Gw+AWdfhy5zGqlHemkqsTn24/QgVnB7P9BEcvC6NDrco82Tx7wvhTLeswbe0u6nmXp4GvB8v2niY1M4vejaoB4OnkYHFxiY9rOSrdtdL4yq1EUjOziElOIz3LwOnI7JGBap4u2Op01uy6EOIfGo2GQV3b8dWaTfh5VaBSxfJ8tuJ3Kri50L5ZQ1O+F975lPbNGzKwy6MADOnWnhmfL6NeVT/qV/dn2YZtpKZn0LNdEJC9WKV3+yA+WvoLrk7lcHSw54NvV9GoZgANawQA4O9TkXbNGjDn+9W8/swAHB3sWfDTWgJ8K9K8bs1i/yxE4clIYeGUqojqs88+A6B9+/Zm6YsXL2b48OHF3yBhdcMfqUtqZhazft9DYloGgX4VWDCgA3qbO0HZ1bgk4lLvzCUNrefP7ZQ0PvvrSPaj5oruLBjQAQ/H/K0yfvP3cPZfiTKdP/n17wCse6EXvrJNjRDFZliPjqSlZ/DO1z+RmJJKYK2qzJ80Gr3dnScL16JiiEu8s2dtl0eacDshiYUrNxAbn0At/0r836TRZhtTTxzSB61Gw6SPl5CRlUWrhrVzbUo9c/QQ5i5dw4tzFqHVamhapzrzJ43GxkZ+MXwYybuPC0ejlFIl3YjCSFky88GZhBBlmqF+i5JughCiBKnawbi6uvLBingcyt3/jViFkZqSwCv9XImPj8fFxXr3KSmlaqRQCCGEEKKgtFh5TqH1qi4VJCgUQgghRJkgcwoLR4JCIYQQQpQJEhQWjgSFQgghhCgTtFZeaGLNuksDCQqFEEIIUSbISGHhSFAohBBCiDJBNq8unCILClNSUvjxxx9JT0/nsccew9/fv6iqFkIIIYR4IBkpLJwCBYUjR44kPDycY8eOAZCRkcEjjzxiOnd1deXPP/+kSZMmRddSIYQQQoj7kKCwcAo0ZXLLli08/vjjpvNly5Zx7Ngxli5dyrFjx/D29mbmTNlUWgghhBDFR6e1/lGWFWikMCIigoCAANP5mjVraN68OYMGDQJg1KhRfPDBB0XSQCGEEEKIvNBoFBqN9V7UZs26S4MCxbyOjo7ExcUBkJWVxdatWwkNDTVdd3Z2Jj4+vkgaKIQQQgiRFxrNncUm1jjk8bEFTZs2ZdGiRRw8eJC3336bxMREevbsabp+/vx5vLy8iqyRQgghhBAPkjOn0JpHQSxYsICAgADs7e0JCgpiz549983/888/U6dOHezt7WnYsCHr16/PlefkyZP06tULV1dXHB0dadGiBVeuXClYA/9RoKDw7bffJioqiubNmzNz5kyeeOIJWrZsabq+evVq2rRpU6iGCSGEEELkR2kMCpcvX87EiROZPn06Bw4coHHjxoSGhhIVFWUx/86dOxk0aBAjR47k4MGD9OnThz59+pgW80L24FtwcDB16tRh69atHDlyhDfeeAN7e/uCfnQAaJRSBXpAHh0dzc6dO3Fzc6Ndu3am9Li4OL755hvatWtHYGBgoRqXFylLZEGLEP/rDPVblHQThBAlSNUOxtXVlcWbblPO0cVq90lJTmBEZ3fi4+NxccnbfYKCgmjRogWffPIJAEajET8/P8aNG8err76aK//AgQNJTk5m7dq1prRHHnmEwMBAFi5cCMCTTz6Jra0t3333XRH06o4C71NYoUIFevfunSvdzc2NCRMmFKpR+dFlZftiu5cQonSaWO/Rkm6CEKIEhZAEFN+WNAkJCWbper0evV6fK39GRgb79+9nypQppjStVktISAi7du2yeI9du3YxceJEs7TQ0FDWrFkDZAeV69atY9KkSYSGhnLw4EGqVq3KlClT6NOnT8E7RwEfHwMYDAZ+/PFHRo8eTd++fTl69CgA8fHxrFq1isjIyEI1TAghhBAiP4rr8bGfnx+urq6mY/bs2RbbExMTg8FgyLXOwsvLi4iICItlIiIi7ps/KiqKpKQk3n33Xbp27coff/xB3759efzxx9m2bVuhPr8CjRTGxcXRtWtX9uzZg5OTE8nJyYwbNw4AJycnxo8fz9ChQ3nnnXcK1TghhBBCiLzSYuXX3P3z36tXr5o9PrY0SmgtRqMRgN69e/Pf//4XgMDAQHbu3MnChQvNpvTlV4FGCl999VWOHz/Oxo0buXDhAndPS9TpdPTr18/iShkhhBBCCGvRapTVDwAXFxez415BoaenJzqdLtfT08jISLy9vS2W8fb2vm9+T09PbGxsqFevnlmeunXrlszq4zVr1jBu3Dg6d+6MxsLD+1q1anHp0qVCNUwIIYQQIj+suUdhzpEfdnZ2NGvWjLCwMFOa0WgkLCyMVq1aWSzTqlUrs/wAmzZtMuW3s7OjRYsWnD592izPmTNn8Pf3z18D/6VAj4/j4+OpWrXqPa9nZmaSlZVV4EYJIYQQQuRXaXyjycSJExk2bBjNmzenZcuWzJs3j+TkZEaMGAHA0KFDqVSpkmle4oQJE2jXrh0ffvgh3bt358cff2Tfvn188cUXpjpfeeUVBg4cSNu2benQoQMbNmzgt99+Y+vWrYXqX4GCwurVq3PgwIF7Xv/jjz9yDWsKIYQQQlhTca0+zo+BAwcSHR3NtGnTiIiIIDAwkA0bNpgWk1y5cgWt9s6D29atW7Ns2TKmTp3Ka6+9Rs2aNVmzZg0NGjQw5enbty8LFy5k9uzZjB8/ntq1a7Ny5UqCg4ML1b8CBYXPPvsskydPpn379nTq1AkAjUZDeno6b775Jhs2bDCLaIUQQgghrE2LQov1RgoLWvfYsWMZO3asxWuWRvf69+9P//7971vnM888wzPPPFOg9txLgYLCCRMmcPz4cQYNGoSbmxsAgwcPJjY2lqysLEaPHs3IkSOLsp1CCCGEEPdVGkcKHyYFCgo1Gg2LFi1i2LBhrFixgrNnz2I0GqlevToDBgygbdu2Rd1OIYQQQoj7s/KcQqxZdylQ4DeaAAQHBxf6+bUQQgghRFEoyArh/NZflhVoSxqdTseyZcvueX358uXodLoCN0oIIYQQIr80KKsfZVmBRgrv3qzaEoPBYHH/QiGEEEIIa9FqFVqtFReaWLHu0qDAj4/vFfQlJCSwceNGPD09C9woIYQQQoj8Kq2rjx8WeQ4KZ86cyZtvvglkB4RPPfUUTz31lMW8SinGjx+f78Z89tlnfPbZZ6a3odSvX59p06bRrVu3fNclHg6PP+bLoMf9KO9ux/mLSXz0+TlOnk20mLdqlXKMHBJA7erO+HjZ8/Gic/z863WzPM8M8ueZwQFmaZevpTDkhb2m816hPnRuV5Fa1Z1wLGdD1yf/JinZUOR9E0Lkza5NS9m+/muS4mPw9qtDr6Gv41e90T3zHw3fwKaV87kdcx0PL3+6DnyJOoHm73uNun6eDcs/5MKpvRgNBipWqs5T4z/GzdOXlKQ4Nq/6hLNHdxAXexNHl/LUa9qJLv3GY1/O2drdFVYkq48LJ89BYcuWLfnPf/6DUopPP/2Uzp07U6tWLbM8Go0GR0dHmjVrxuOPP57vxlSuXJl3332XmjVropTim2++oXfv3hw8eJD69evnuz5RunUMrsDYZ6szZ8EZTpxJZECvSsx9syGDnt9LXHxmrvx6vY4bEWls+Tuacc9Wv2e9Fy4n8+LUw6Zzg9H8Nzu9Xkv4gVuEH7jF88OqFV2HhBD5dmT3etYte48+I2bgV70ROzZ8y9fvj+Kl99fj5OqRK//lMwf58dOXCR3wX+oEtufQrrV8P28cY99agbdf9r9JsZFXWDhrCC3aPkHI42PROzgRef0cNrbZ76dNuB1Fwu0oHhs0iYqVqhMXc4PVS2aQGBfFkPEfF2v/RdEqjW80eZjkOSjs1q2bacQuOTmZ559/nqCgoCJtTM+ePc3O3377bT777DN2794tQWEZ9GSfyvy28Sbrw7Jf/P3Bp2dp1cKDHp29+X7F1Vz5T51N5NQ/o4j3C+YMBsWtuNxBZY6c0cUmDVwL03whRBH46/dvaNG+P83bZg8k9Bkxg9OHt7Fv+yra9xyVK/+OP76lZqNg2nbP3gu3S78JnDu2k12bl9F3xAwA/vh5HrUbt6XboFdM5Ty8qpj+39uvFk9NmG92LbTfiyxfOAmDIQudrlAbc4gSZO3FILLQxILFixcXdTtyMRgM/PzzzyQnJ9/zpdHi4WVjo6FWDWe+W3HFlKYU7Dt0m/q1XQpVd2VfB9YseYSMTCPHTiXw+bcXiYxOL2yThRBFLCsrgxuXjpsFf1qtlur1W3Hl3CGLZa6cO0xw12FmaTUbBnNifxgARqORU4e30bb7SL5+/1luXDqJe4XKtO85ivrNQ+7ZlrTUROwdnCQgfMjJljSFU6g//deuXePgwYPEx8djNBpzXR86dGi+6zx69CitWrUiLS0NJycnVq9eLe9RLoNcXWyx0Wm4ddt8RO9WXCb+lcsVuN4TZxJ5Z94prlxPxcPdjhGD/FnwbiBPj91HaqrMGxSiNElJjMNoNOR6TOzs4kH0jYsWyyTFxeDkar6Q0cnVg6T4GACSE2LJSEth229f0qXfeLoOfIkzR/5m6fzxPDtlCdXqtsxVZ3Libf5c8xktOgwoop6JkiIjhYVToKAwLS2NYcOGsXLlSoxGIxqNxrRNzd2rkgsSFNauXZtDhw4RHx/PihUrGDZsGNu2baNevXqkp6eTnm4+4mM0ZKDV2RWkG6IM2r3/lun/z19K5sSZBFZ89QgdgyuwblNECbZMCFEccv4tqtesI8HdhgPg61+XK2cPEv7n8lxBYVpqEkvmPE/FSjUI6TumuJsripjMKSycAm1e/dprr7Fq1Srefvtttm7daloU8scff9CtWzcaN27M4cOHH1yRBXZ2dtSoUYNmzZoxe/ZsGjduzMcfZ0/8nT17Nq6urmbHtXNLC3QfUbLiEzLJMijKu9uapZd3syX2dkaR3Scp2cDVGylU9nEosjqFEEWjnLMbWq2OpPhYs/TEhFic3Sxva+bk5mkaFcyRFB9rGj0s5+yGVmdDRV/zxWgVfKsRH3vTLC09NZnF749C71COpyb8Hzob87+PxMNHNq8unAIFhStWrGDEiBFMnjzZtACkUqVKhISEsHbtWtzc3FiwYEGRNNBoNJpGB6dMmUJ8fLzZUbnGkCK5jyheWVmKM+cSadbI3ZSm0UCzxu4cP51QZPdxsNdSyduhSANNIUTRsLGxwzegPudP7DalGY1Gzh/fTZUagRbLVKnRmPPHd5ulnTu2kyo1A011Vq7agOgI88fPMRGXcPP0NZ2npSbx1fsj0dnYMvS/n2Jrpy+aTokSpdUodFY8tDJSmFtUVBQtW2YPwTs4ZI/AJCcnm64/8cQTrFq1Kt/1Tpkyhe3bt3Pp0iWOHj3KlClT2Lp1K0OGZAd+er0eFxcXs0MeHT+8flxzjZ6hPnTt6IV/5XK8/J+aONhrWbc5+zHv1P/WZvTQqqb8NjYaalR1pEZVR2xtNFTw0FOjqiOVfOxNecY8U43ABq54V9TToI4L77zWAINRsXlblClPeTfb7HK+2X92q/k7UaOqI85OMsFciOL2aLdh7N36M/v/WkPU9fP8smQmGempNGvbF4CfFk5mw/K5pvxtugzlzNG/+Wv9YqJuXGDzqk+4fvE4rUIGm/K07f4MR3dvYM+Wn4iJvMzOTUs5dXArj3QaBGQHhF+/N5LM9FSeeHYW6alJJMZFkxgXjdEoc48fZjmPj615lGUF+lfQy8uL2Njs4f5y5crh7u7O6dOnTVvKJCQkkJaWlu96o6KiGDp0KDdv3sTV1ZVGjRqxceNGOnfuXJBmilLuz7+jcXO15dkhAZR3t+PchSRemn6U2/9sJ+NVwZ67txj0LG/HkvnNTeeDH/dj8ON+HDwax7jXsqcrVPDQM+Pluri42BIXn8mRE/GMfvkgcQl3FrT06eZrtsH1p+8FAvD2vFP8/s/2OEKI4tHokcdISrzN5pXzSYyPwadKXUa88gXO/zwOjou9iUZzZ/zCv1YTnnzhA/5Y8TEbf/4ITy9/nnrx/0x7FALUb96ZPiOms/W3L/jtu3eo4FOVIeM/JqB2MwBuXDrB1fNHAJjzcqhZeybN3Yx7hUrW7rawElloUjga9aAXGVswYMAAUlNT+e233wAYPnw4v//+O3PnzsVoNPLSSy/RpEkTNm7cWOQN/rfgntusfg8hROk28Y1HS7oJQogSFFInCVdXV7buv4iTU+G2NbufpKQE2jerSnx8PC4u1rtPSSnQ4+Px48dTrVo101y/t956Czc3N55++mmGDRuGq6sr8+fPf0AtQgghhBBFR4O1F5uUbQV6fBwcHExwcLDp3M/Pj5MnT3L06FF0Oh116tTBxkbmZwkhhBCi+MiWNIVToJHCb7/9lkuXLplXpNXSuHFjGjRowPXr1/n222+Lon1CCCGEEHkiW9IUToGCwhEjRrBz5857Xt+9ezcjRowocKOEEEIIIfJLi7L6UZYV6Bnvg9amJCcny+NjIYQQQhQrDVZ+fCxBYbYjR45w6NAh0/lff/1FVlZWrnxxcXEsXLiQWrVq5bomhBBCCGEtWoxoMVq1/rIsz0Hh6tWrmTlzJpD9fuPPP/+czz//3GJeNzc3mVMohBBCiGIl+xQWTp6Dwueee44ePXqglKJly5a8+eabdOvWzSyPRqPB0dGR6tWry+NjIYQQQhQrWX1cOHmO3Hx8fPDx8QFgy5Yt1K1bl4oVK1qtYUIIIYQQ+SEjhYVToOG8du3a5UpTSrFlyxbS09MJDg7G2dm50I0TQgghhMgrCQoLp0Bb0rz++ut06NDBdK6UokuXLnTu3Jnu3bvTsGFDzp8/X2SNFEIIIYR4kNK6T+GCBQsICAjA3t6eoKAg9uzZc9/8P//8M3Xq1MHe3p6GDRuyfv1607XMzEwmT55Mw4YNcXR0xNfXl6FDh3Ljxo0Cte1uBQoKV65cScuWLU3nK1asICwsjFmzZrF27VoMBgMzZswodOOEEEIIIfKqNAaFy5cvZ+LEiUyfPp0DBw7QuHFjQkNDiYqKsph/586dDBo0iJEjR3Lw4EH69OlDnz59OHbsGAApKSkcOHCAN954gwMHDrBq1SpOnz5Nr169CvXZAWjUgzYdtMDZ2Zm5c+cyatQoAAYNGsTRo0dNDX7nnXf47LPPuHr1aqEb+CDBPbdZ/R5CiNJt4huPlnQThBAlKKROEq6urhw4eNiq09cSExNp2qQx8fHxuLi45KlMUFAQLVq04JNPPgHAaDTi5+fHuHHjePXVV3PlHzhwIMnJyaxdu9aU9sgjjxAYGMjChQst3mPv3r20bNmSy5cvU6VKlQL0LFuBRgptbGxIT08Hsh8dh4WF0bVrV9N1Ly8vYmJiCtwoIYQQQoj8yll9bM0DICEhwezIiYn+LSMjg/379xMSEmJK02q1hISEsGvXLotldu3aZZYfIDQ09J75AeLj49FoNLi5ueXzEzNXoIUmDRo04Pvvv2fIkCGsXr2a2NhYunfvbrp++fJlPD09C9WwPLcluFGx3EcIUXolpxXo91shRBmjVUa0yoqbV/9Tt5+fn1n69OnTLU6bi4mJwWAw4OXlZZbu5eXFqVOnLN4jIiLCYv6IiAiL+dPS0pg8eTKDBg3K8+jlvRQoKJw2bRo9e/Y0BX5t2rQxW3iybt06WrRoUaiGCSGEEELkh0YpNFYMCjX/zLi7evWqWQCm1+utds/7yczMZMCAASil+OyzzwpdX4GCws6dO3PgwAE2bdqEm5sbAwcONF27ffs2bdu2pXfv3oVunBBCCCFEXhXXljQuLi55GpXz9PREp9MRGRlplh4ZGYm3t7fFMt7e3nnKnxMQXr58mT///LPQo4RQwKAQoF69etSrVy9Xuru7Ox999FGhGiWEEEIIkV8ajNYdKcznu4/t7Oxo1qwZYWFh9OnTB8heaBIWFsbYsWMtlmnVqhVhYWG8+OKLprRNmzbRqlUr03lOQHj27Fm2bNmCh4dHvvtiibyLTgghhBBlQmncvHrixIkMGzaM5s2b07JlS+bNm0dycjIjRowAYOjQoVSqVInZs2cDMGHCBNq1a8eHH35I9+7d+fHHH9m3bx9ffPEFkB0Q9uvXjwMHDpi2AcyZb1i+fHns7OwK3D8JCoUQQghRJmiUlUcKC1D3wIEDiY6OZtq0aURERBAYGMiGDRtMi0muXLmCVntnsVzr1q1ZtmwZU6dO5bXXXqNmzZqsWbOGBg0aAHD9+nV+/fVXAAIDA83utWXLFtq3b1+wzlHAfQpLk+ffu13STRBClLA2rdxLuglCiBLUOzABV1dXTu7fibOTk9Xuk5iURN1mrfO1T+HDREYKhRBCCFEmZK8+tuLj44d7HO2BJCgUQgghRJlQGh8fP0wkKBRCCCFEmaBVBrTKYNX6y7I8B4Xjx4/PV8UajYaPP/443w0SQgghhCgIeXxcOHkOCj/55BM0Gg15XZciQaEQQgghipMGY773Esxv/WVZnl8Yqtfr0ev19OvXj1WrVpGeno7RaLznYTCU7SFWIYQQQpQyClDKikdJd9C68jxSGBUVxapVq1i2bBn9+/fH2dmZJ554gsGDB5u997iovPvuu0yZMoUJEyYwb968Iq9flA7tmujpEqTHxVHLtSgDyzencOmm5V8ofDy19Ax2wN9bh4erjp/CUvhzX7pZnhqVbegSpKeKlw1uzlo+W5XE4bOZ97z/4C7laNtEb7EuIUTx2LdlKbs2fkVSfDRefnUIHfQGlao2umf+E/t+Z9svHxMXc53yXgF0euJlajRsZ7o+a1Rti+U69XuFVqHPApCaHMeGZW9x9sgWNBotdZp2IfTJ17GzdyzazoliJQtNCifPI4XOzs4MGzaMjRs3cu3aNaZPn86RI0fo1KkTlSpVYuLEiezbt69IGrV3714+//xzGjW6918K4uHXrI4t/To6sHZHGu8sSeBalIFxA5xwLqexmN/ORkNMnJHV21KJT7L8xdTbwbUoAz9uSnng/QNr2lLVV0dcYtn+kgtRmh3fu55NP83m0Z5jePaN1XhVrsMP80aSnBBrMf/VcwdYveglAoP7MWraGmoHduKnBWOIun7GlOfFOX+bHT2GvwMaDXWahpryrPnyZWJunGPIfxczcNxCrpzdx7rvplm9v8K6ct5oYs2jLMtzUHg3Ly8vJkyYQHh4OGfPnmX06NGsX7+eoKAg3n///UI1KCkpiSFDhrBo0SLc3WVD2rIspIU9Ow6ns+toBjdjjSzbmEJmJrRuaPkVPZcjDKzamsq+k5lkGSx/MY9fyOLXv9I4dJ/RQQA3Jw0DO5fj67XJGIxl+0suRGkWvmkxTR4dQGCbJ6jgW4PHnpqJrZ09h3astJh/b9i3VK//KK1Cn8XTpzrt+7yIT5V67Pvze1MeJ9cKZseZQ2EE1A7CvYIfADE3z3P+2F90HzaLStUaU6Vmc7oOmsrxvetIjIssln4LK/lnpNBaBzJSeH9xcXHEx8eTmJiIUgoHB4dC1TdmzBi6d+9OSEhIYZsmSjGdFqp46zh5OcuUpoCTlzKpVsm6OyVpgOE9HNkUnsbNmLL9BReiNDNkZXDz8nGq1m1tStNotQTUbc318wctlrl24RBV67UyS6tWP5hrFw5ZzJ+UEMO5o9sIDO53p47zB7Ev54JvQENTWtW6rdFotFy/cKQQPRIlzqrzCf85yrAC/et75swZli1bxg8//MDZs2epU6cOL7zwAoMHD6ZatWoFbsyPP/7IgQMH2Lt3b4HrEA8Hp3IadFoNCcnmQVliisLbQ2fVe3d5xB6jEf7cL3MIhShJKUm3UUYDji4eZulOLh7ERlywWCYpPgZHZ0+zNEcXD5LjYyzmP7JzNXZ6R+o07WJWRznn8mb5tDobHBxdSU6ILkhXRCkhcwoLJ89B4fXr1/nhhx/44YcfOHjwIJUrV+bJJ59k8ODBuV7IXBBXr15lwoQJbNq0CXt7e4t50tPTSU83/4fckJWOzkZf6PuL/w1VvHR0bKbnnW8SSropQohicHjHShoE9cTGVv6d+F+gMRrQGK23+4k16y4N8hwUVqlSBXt7ex577DGmTp1K27Zt0WiyFwTcunXLYpny5ctbTLdk//79REVF0bRpU1OawWBg+/btfPLJJ6SnpzN79mxmzpxpVq5Zp0k07/xqnu8jSoekFIXBqHBx1AJ3vmTO5XKPHhalGn42ODtqeOcFV1OaTquhXwcHOjXX8/pCCRaFKC7lnNzRaHW5FpUkJcTi5OJpsYyTqyfJieajgskJsTi65s5/5cw+YiMu8vhz83LVkZJo/u+W0ZBFanI8ji4VCtATUVrISGHh5DkoVEqRmprKqlWrWLVqVZ7K5Gevwk6dOnH06FGztBEjRlCnTh0mT56MTqdjypQpTJw40SzPS//34FWmovQxGOFKhIE6/jamLWM0QJ0AW7buT7PafcOPZXDqkvkilPEDnNl9PINdR+VxshDFSWdjh49/fS6e3EXtJtnzyJXRyKWTu2je8SmLZSpXC+TSyd0EhQw3pV08uZPK1QJz5T309wp8/Ovj5VfHvI7qTUhLSeDm5WP4+DfIruPUbpQyUqma7HrxMLP2CuGyvvo4z0Hh9OnTrdkOnJ2dadCggVmao6MjHh4epvScDbTvprMp20O5ZdnmvWkM7+7I5QgDl25m0bG5PXa2sPNoBgDDu5cjLtHImu3ZQaJOCz6eun/+X4Obk5bKFXWkZyii47J/e9PbQgX3O3MSPV2z8ySnGrmdqEhOyz7uZjAqEpKNRN4q278BClEaBXUewa9fT8YnoAGVqjYifPM3ZGak0rjN4wD88tUknN296Pj4SwC06DSU7+Y8ze4/vqZGw3Yc37ueG5eO8djTb5rVm56axMn9GwjpPznXPT19qlO9waOs+/YNuj01E6Mhk43L3qJ+i+44u3lZv9PCeqy9QlhGCrNZOygU/3v2n8rEuVwqPYPtTZtX/99PSSSmZAdt5V20Zgu93Jy0TB3hYjrvEmRPlyB7zlzJZO4PSQD4e9swcbCzKU//TuUA2HU0nW/Wy6iyEKVN/RaPkZJ4i22/zCc5IRovv7oMmvCl6fFx/K2baDR3Nsrwq9GUPs/OYeuaeWxZPZfyFQMYMGYBFSvVMqv3+N51KBT1W/aweN8+z85hw7K3WPrhMDTanM2rp1qvo6JYyLuPC0ej8voy41Lq+fdul3QThBAlrE0r2dNUiP9lvQMTcHV15dqfP+PiVM5q90lISqFyx/7Ex8fj4uLy4AIPmTyPFB44cCDfld+9aEQIIYQQwqqsvZfgwz2O9kB5DgqbN29uWm38IEopNBpNvhaaCCGEEEIUhgYrrz5G5hSa2Nvb0717d0JDQ7Gxse5bJ4QQQggh8kVGCgslz5Hd559/zrJly1i1ahVbt26lX79+DB48mODgYGu2TwghhBAiTzTGLDTGrAdnLET9ZVme3308atQotmzZwuXLl3nllVfYvXs3bdu2JSAggClTpnDkiLwvUgghhBAlJ2f1sTWPsizPQWGOSpUq8corr3DgwAGOHz/OU089xU8//USTJk1o2LAhGzdutEY7hRBCCCHuz2i0/lGG5TsovFvdunWZNWsWq1evpl27dhw/fpzw8PCiapsQQgghRN7lzCm05lGGFXi1yMWLF/nhhx/44YcfOHHiBNWqVWPq1KkMHz68CJsnhBBCCJFH8kaTQslXUBgVFcXy5ctZtmwZ4eHheHt7M2DAAL766itatmxprTYKIYQQQjyQvNGkcPIcFHbp0oUtW7bg5OTE448/zltvvUXHjh3Ragv1BFoIIYQQomjISGGh5Dmi27x5M3Z2drRo0YLo6Gjmz59Pnz596NWrl8Wjd+/e1my3EEIIIYQ5pe4EhlY5Cj9SqJRi2rRp+Pj44ODgQEhICGfPnn1guQULFhAQEIC9vT1BQUHs2bPHdO3WrVuMGzeO2rVr4+DgQJUqVRg/fjzx8fH5alueRwqrVKmCRqPJU8OBPL/9RAghhBCiKDwMj4/ff/995s+fzzfffEPVqlV54403CA0N5cSJE9jb21sss3z5ciZOnMjChQsJCgpi3rx5hIaGcvr0aSpWrMiNGze4ceMGc+bMoV69ely+fJnnn3+eGzdusGLFivz07+F+QP78e7dLuglCiBLWppV7STdBCFGCegcm4OrqSuSqBbg4OljtPgnJqXg9Pob4+HhcXFzyXV4pha+vLy+99BIvv/wyAPHx8Xh5ebFkyRKefPJJi+WCgoJo0aIFn3zyCQBGoxE/Pz/GjRvHq6++arHMzz//zFNPPUVycnKe30InEwKFEEIIUTZY9dFx4ecrXrx4kYiICEJCQkxprq6uBAUFsWvXLotlMjIy2L9/v1kZrVZLSEjIPcsApsA1P68lfuhfYDzp5NMl3QQhRAlziitf0k0QQpSkwOwRtOJ693FCQoJZsl6vR6/XP7B4REQEAF5eXmbpXl5epmv/FhMTg8FgsFjm1KlT9yzz1ltv8dxzzz2wTXfLc1DYqFGjfFWs0Wg4fPhwvsoIIYQQQhSYsvJbR/4ZKfTz8zNLnj59OjNmzMiVfenSpYwePdp0vm7dOuu17R8JCQl0796devXqWWzT/eQ5KCxfvrzZ4pHMzEx27txJo0aNcHeX+TxCCCGEKGHFtCXN1atXzeYU3muUsFevXgQFBZnO09PTAYiMjMTHx8eUHhkZSWBgoMU6PD090el0REZGmqVHRkbi7e1tlpaYmEjXrl1xdnZm9erV2Nra5r1v5CMo3Lp1q9l5TEwMFStWZO7cuXTs2DFfNxVCCCGEKHLF9PjYxcUlTwtNnJ2dcXZ2vqu4wtvbm7CwMFMQmJCQQHh4OC+88ILFOuzs7GjWrBlhYWH06dMHyF5oEhYWxtixY035EhISCA0NRa/X8+uvv95zJfP9FHhOoWw5I4QQQohSxWjlx8eFrFuj0fDiiy8ya9YsatasadqSxtfX1xTwAXTq1Im+ffuagr6JEycybNgwmjdvTsuWLZk3bx7JycmMGDECyA4Iu3TpQkpKCt9//z0JCQmmeY8VKlRAp9PlqX0P/UITIYQQQgig2EYKC2PSpEkkJyfz3HPPERcXR3BwMBs2bDAb2Tt//jwxMTGm84EDBxIdHc20adOIiIggMDCQDRs2mBafHDhwgPDwcABq1Khhdr+LFy8SEBCQp7YVeJ/C2NhYKlSowObNm0v08fGF4T1K7N5CiNLByUdWHwvxv8x+yifZ+xQufQ+Xcvl/bJpXCSlpeA2ZXOB9Cks7GSkUQgghRNlgMGQf1qy/DMtzUHjgwAGz85z36Z09exY3NzeLZZo2bVrwlgkhhBBC5Ecpn1NY2uU5KGzevLnFxSX/+c9/cqUppdBoNBjKeEQthBBCiFLkIZhTWJrlOShcvHixNdshhBBCCFE4xbRPYVmV56Bw2LBh1myHEEIIIUThGFX2Yc36yzBZaCKEEEKIMkEpI8qKo3nWrLs0kKBQCCGEEGWDsvJIocwpLD4zZsxg5syZZmm1a9fm1KlTJdQiURzc+w7BuV0o2nKOpJ09Scy3n5IVeeO+ZVw6dce12+PoXN3JuHKR2O8/J/3iGQBsPCtSZc7XFstFLphN8t4dAOir1qR8/+HYBVQHBekXznDrp8VkXL1YtB0UQjyQY8jj2Ldoj9ahHJmXz5K4ZgmG2Mj7lnF4pBPl2j6G1smVrIirJP76HVnXLpjlsalSA6cu/bD1q44yGsm6eZm4rz+ArEzzynQ2uP9nOra+/tyaP5Wsm1eKuouiOMicwkIpVUEhQP369dm8ebPp3Mam1DVRFCHXx57ApXNPohd9RFZ0JO6PP4XPS29y7fUXUJmZFss4tnwUjyefJfqbBaRfOI1rl954v/wmV18djTExnqzYGC5PeMqsjHO7rrh1e5yUI/sB0Ojt8X5pJikHw4n59lPQ6nDvOwTvl9/kysThZX4vKiFKk3Jtu+PQujMJPy/CcDsap85P4PbMK8R+NCV38PYPfcMgnLoPJnHNEjKvnqdcm9DsMh9OQiUnAtkBoduIl0nZupbEX78DowEbnyoWR3ucug3EmBgH+Fuxp8LalNGIsuK2MdasuzTQlnQD/s3GxgZvb2/T4enpWdJNElbk2qU3cb8uJ+VgOBnXLhG1aC469/KUa9rq3mVC+5CwbSNJf28m88ZVYr5ZgMpIx7lt5+wMyoghPs7scGzWiqS9f6PS0wCw9amMzsmFW6uXkhlxncwbV7j9yzJsXN2x8ahYHF0XQvzDoU0oyVt+JePkAQwRV0n46XO0zm7o6917r9tyj3Ylde9W0vb/hSHqBolrlqAy0nFo3s6Ux7n7YFJ3biJl21oMUdcxxESQfnQPGLLM6rKr1Qi7mg1JWv+D1fooionBeGcDa6scEhQWq7Nnz+Lr60u1atUYMmQIV67IEH5ZZVPBCxu38qSeOGRKU6kppJ8/jX31OpYL6WzQB9QwK4NSpB4/dM8ydv7V0ftXJ3H7H6a0zIjrGBLjcWnbBXQ2aGztcGnbhYzrV8iKuf8jKyFE0dG6V0Dn4kbmueOmNJWeSubVC9hWqWG5kE6HjW8AGXeVQSkyzp8wldE4OmNbpQbGpATcn38Dz9f+D7dRr2HrX8usKo2TC86PP0PCT5+jMjKKvH+imOXsU2jNowwrVUFhUFAQS5YsYcOGDXz22WdcvHiRRx99lMTExJJumrACnas7AIb4OLN0Q0IcOlc3y2WcXdDodPco426xjPM/wV76uTtzU1VaKjfefQ2nVu2pumglAZ//jEPDpkTMnV7md6wXojTROrsCYEyKN0s3JsWjdXazXKacMxqdDmNSgnmZxHhTfbry2SP+jiF9Sd27lbjFc8i6cQm3Zyej8/AylXHpN4rU8D/Jui5zicuCnMfH1jzKslI1Ya9bt26m/2/UqBFBQUH4+/vz008/MXLkSNLT00lPTzcrk24woNfpirupogCcWrXHc9gY03nERzPvk7toaGztcGrVjrhfl+dKr/DMeNLOniRh4Qeg1eLa9XG8/zuD6zP/i8qUEQMhrEEf2ArnPiNM5/HffGidG/3zBq7U8D9J2/8XAEnrLmNXvR72zduSvPFnHFp3RqN3IGXrb9Zpgyh+sk9hoZSqoPDf3NzcqFWrFufOnQNg9uzZuVYnj29ckwmBtSwVF6VM8sFw0s6fNp1rbGwB0Lm6YYi/bUrXubiRccXyb+2GxASUwZBrJFHnYl5HDscWbdDa6UncEWaW7tSqHTaeFbkx62XT44CohR8Q8OmPlGv6CMnh2wvURyHE/WWcOMjtq+fvJOiy/x7QOrliTLwzWqh1ciXr5mWLdRhTElEGA1onF7N0rfOdOrIXjUBWlPlOBlnRN9G5eQBgV60etlVqUOEt890K3MfMJO3wLhJ//iL/HRQlSvYpLJxS9fj435KSkjh//jw+Pj4ATJkyhfj4eLPj+YbVS7iVIq9UWipZUTdNR+aNK2TF3cKhXqApj8beAX312qSdv8c2RIYs0i+dw6Fe4ztpGg0O9RpbLOPctgvJB/dgTDR/zKSx0+eeH6KM2ecW3vEthCgaKiMNQ2zUnSPqOoaEOGyr1zPl0ejtsfWrRuaVc5YrMRjIunEJu+r176RpNNhVr2cqY7wdgyH+FjYVfMyK6jy9MdyOASDxt++5Nf91bv3fVG7931TTqGXCDwtI3vhzEfZaFJuckUJrHmVYqQoKX375ZbZt28alS5fYuXMnffv2RafTMWjQIAD0ej0uLi5mhzw6frjF//ELbj0HUi6wJbaV/an43EQMt2+RcmCXKY/PpLdx6dTjTpmNa3BuF4pTm47Y+lTGc+h/0OjtSfprs1ndNhV9sK9Vn8TtG3PdN/X4IbSOTng8/QK2PpWx9a1ChWdfRBkNpJ08Yr0OCyFySd2xEceOvbGr2wSdV2Vc+o/GmBhH+okDpjxuIyfj0CrEdJ7y1wYcWrTDvmkwugq+OPcehsZOT+r+7Xfl+R2H1p3RN2iBzqMijp2fwKaCD2n7svMY42MxRF43HVnREQAYbkVhTMj95EE8BHL2KbTmUYaVqsfH165dY9CgQcTGxlKhQgWCg4PZvXs3FSpUKOmmCSuJX78Srd4ezxHjsjevPnOCiA+nme1RaFPRG53zncdEyXv+Qufsinvfp7BxdSf9ygUiPpyGISHOrG7nRztjuB1D6rGDue6befMakfPexL33IHzfmANGRcaVC0R8ON3iY2ghhPWkbF+Hxk6Pc98RaO2zN6+OWzzHbI9CnUdFtOWcTefpR8NJcnLGMeRxtM6uZN28QtziD1B3LT5J3bERjY0tTt0Hoy3nlJ3nq/cx3Ioq1v6J4qOMCmXF0Txr1l0aaJR6uNdXXxje48GZhBBlmpNP+ZJughCiBNlP+QRXV1euvTsGF3u91e6TkJZO5VcXEB8fj4uLy4MLPGRK1UihEEIIIURBKYMBZcU3Ulmz7tJAgkIhhBBClAny+LhwJCgUQgghRNmglHUXgzzcM+4eSIJCIYQQQpQJMlJYOBIUCiGEEKJMsPar6OQ1d0IIIYQQDwN5zV2hSFAohBBCiDJBXnNXOBIUCiGEEKJssPKcQhkpFEIIIYR4GCgjWHPen4wUCiGEEEKUfsYsA0ad9TaYNmaV7c2rtSXdACGEEEKIoqCUsvpRFG2cNm0aPj4+ODg4EBISwtmzZx9YbsGCBQQEBGBvb09QUBB79uwxXbt06RIajcbi8fPPP+e5bRIUCiGEEKJsMBqtfxTS+++/z/z581m4cCHh4eE4OjoSGhpKWlraPcssX76ciRMnMn36dA4cOEDjxo0JDQ0lKioKAD8/P27evGl2zJw5EycnJ7p165bntklQKIQQQogyIWfzamsehWqfUsybN4+pU6fSu3dvGjVqxLfffsuNGzdYs2bNPcvNnTuXUaNGMWLECOrVq8fChQspV64cX3/9NQA6nQ5vb2+zY/Xq1QwYMAAnJ6c8t0+CQiGEEEKUCcpo7cAw+z4JCQlmR3p6ep7ad/HiRSIiIggJCTGlubq6EhQUxK5duyyWycjIYP/+/WZltFotISEh9yyzf/9+Dh06xMiRI/P4yWV76BeanFz64OfwQoiyreXh70q6CUKIUqC43mji5+dnlj59+nRmzJjxwPIREREAeHl5maV7eXmZrv1bTEwMBoPBYplTp05ZLPPVV19Rt25dWrdu/cA23e2hDwqFEEIIIaD43n189epVXFxcTOl6vd5i/qVLlzJ69GjT+bp166zWthypqaksW7aMN954I99lJSgUQgghRJlQXCOFLi4uZkHhvfTq1YugoCDTec5j5sjISHx8fEzpkZGRBAYGWqzD09MTnU5HZGSkWXpkZCTe3t658q9YsYKUlBSGDh36wPb9m8wpFEIIIUSZoJSVF5rkc0saZ2dnatSoYTrq1auHt7c3YWFhpjwJCQmEh4fTqlUri3XY2dnRrFkzszJGo5GwsDCLZb766it69epFhQoV8tVWkJFCIYQQQpQRymBAGaw33qUMhdu8WqPR8OKLLzJr1ixq1qxJ1apVeeONN/D19aVPnz6mfJ06daJv376MHTsWgIkTJzJs2DCaN29Oy5YtmTdvHsnJyYwYMcKs/nPnzrF9+3bWr19foPZJUCiEEEKIMqG45hQWxqRJk0hOTua5554jLi6O4OBgNmzYgL29vSnP+fPniYmJMZ0PHDiQ6Ohopk2bRkREBIGBgWzYsCHX4pOvv/6aypUr06VLlwK1TaOKYnvuErTOtnZJN0EIUcJk9bEQ/9v0levg6urK0WGP4Wxna7X7JGZk0vCb9cTHx+dpTuHDRkYKhRBCCFEmPAwjhaWZBIVCCCGEKBMkKCwcCQqFEEIIUSYU15Y0ZZUEhUIIIYQoE2SksHAkKBRCCCFEmaCMCqNBgsKCkqBQCCGEEGVC9kihNR8fS1BYrK5fv87kyZP5/fffSUlJoUaNGixevJjmzZuXdNOEldSaPh6/kf2xdXPh9s4DHB07g5Rzl++Zv3xwc6q9NBLXpg2w963Ivif+Q+SvYbnyPahelyb1qPPOy7g1b4gyGIhY/QcnXn4XQ3KKVfophLBs5fpN/LBmPbfi4qke4Md/nx1KvVrV75n/zx3hfPnDSiKiYqjs48ULQwfSqlmg6bpSiq9+WMVvm7eQmJxCwzq1eHn0cPx8s18JduDYSca/8Y7Fuhe9P5O6NasVaf9E8TFmGTFqrBcUGrPK9pzCUvWau9u3b9OmTRtsbW35/fffOXHiBB9++CHu7u4l3TRhJdVeHkXA2Kc5NmYGO9oMICs5laB1X6HV292zjM6xHAlHTnNs/MwC16v3qUjQhsWknL/CjjYD2NNjFE71atL4q9lF3kchxL2F/b2bTxYvY8TAvnz14VvUCKjCxDff53ZcvMX8R0+dYebcT+nRqR1ff/gWjwY1Y8q787hw+aopz9LV61ix7g9eHj2CL96bgYNez8Q33yc9IwOAhrVr8svX/2d29Axpj49XBerUqFos/RbWYdVX3Fl5vmJpUKqCwvfeew8/Pz8WL15My5YtqVq1Kl26dKF69Xv/xigeblXHD+XcO58R+VsYiUdPc3jEJPS+FfHqHXLPMtEbt3Nm+jwif9lc4Hordm+Pyszi2LiZJJ+5SPy+oxwbMx2fJ7pSrnqVIu+nEMKyH3/9nZ6d29O9U1uq+lXiledHYK/XszZsu8X8P6/9g6AmjRjctzsBfpUYNbgftaoFsHJ99t8HSil+XruBof178WhQM2oEVGHqhNHE3orjr/D9ANja2uDh7mY6XJ2d+GvPfrp3bItGoym2vouil7P62JpHWVaqgsJff/2V5s2b079/fypWrEiTJk1YtGhRSTdLWIlD1crY+1Qk5s+dprSshCTi9hzG/ZEmVq1Xp7fDmJEJd73Qx5CaBkD5Ns0KfG8hRN5lZmZx5vwlmjeub0rTarU0b1Sf46fPWSxz7PQ5s/wAQYENOXbmLAA3IqOJvR1Pi8YNTNedHMtRr2Y1jt2jzr/3HiQhKYnHOrYtbJdECZORwsIpVUHhhQsX+Oyzz6hZsyYbN27khRdeYPz48XzzzTcl3TRhBfbeFQBIj4w1S0+PjEXv5WnVemO27Ebv7Um1iSPR2Npi4+ZCnbdfAkD/T3khhHXFJyZiMBop7+pqll7ezYXYuDiLZW7FxeHuZp7f3c2VW7fjTdcB3F0t5LnHI+m1m7fSMrAhFT3LF6AXojQxGpTVj7KsVAWFRqORpk2b8s4779CkSROee+45Ro0axcKFCwFIT08nISHB7MhUZXsotyzxHdST0NsHTIfGpuTWOSWdOMfhZ16l6n9H0DXhECHXdpBy6TppEdFl/jdBIcQdUTG32HPoKD1C2pd0U0QRkJHCwilVq499fHyoV6+eWVrdunVZuXIlALNnz2bmTPPFBYM05RmiK/iokig+kb/9Sdyew6Zz06IPLw/SI6JN6XovDxIOnyrwfdL+qetB9d74cS03flyLXUUPDMmpoBTVXhxOysWrueoUQhQ9V2dndFott+LNR/BuxSXg4eZmsUx5N7dci1Bux8VT3t3VdB3gdnw8nuXdzPLUqOqfq771f27HxcmJ4BYFn7IiSg+lrPxGkzI+EFWqRgrbtGnD6dOnzdLOnDmDv3/2F3nKlCnEx8ebHQO0Mtz/sDAkJZNy/orpSDpxjrSbUXh0aGXKY+PsiFvLxtzefbDA90m9eC1f9WZExWJITsFnwGMY0tKJ2byjwPcWQuSdra0NtaoHsP/ICVOa0Whk/9Hj1K9dw2KZBrVrsO/IcbO0vYeP0aBWTQB8vSrg4e5qlic5JZUTZy/Q4F91KqVY9+d2unYIxqYEn1yIoiMjhYVTqr4F//3vf2ndujXvvPMOAwYMYM+ePXzxxRd88cUXAOj1evR6vVkZW02pimtFPl2c/y01X3uB5HOXSb10jVozJpB+I8psZXHQxiVE/LKJy58uBbK3pHGscWeFcLmqlXFpXIeMW/GkXb2Z53r9/zOE27sOYkhKwTOkNXXfncSp1z8kKz6xmHovhHiyVzfenv8FdapXpW7Navy0diOpael075S96OOtjxdSobw7zz89EID+Pbowduo7/PDLelo3C2Tz37s5df4ik154BgCNRkP/Hl355udf8PPxxserAl8uW4FHeTceDTJfRLb/6AluRkbTUx4dlxlGg8KosV7gVtbnFJaqoLBFixasXr2aKVOm8Oabb1K1alXmzZvHkCFDSrppwkouzFmEjaMDDT97M3uT6R372dPjWYzpGaY85ar5YedxZ69K12YNaBX2nem83pzXALj67SqOjJyS53rdWjSi1rRx6JwcST59gaP/mc71pb9Yu8tCiLt0Cn6EuIREvvxxJbdux1OjahU+nPYK5f9ZTBIZHYv2rm1iGtapxfT/vsCiZSv44vufqezjxexXX6Sav58pz5C+3UlLS+f9z74mKTmFhnVr8eEbr6C3M9//dO3mbTSsUxP/yr7F01lhdcYsA0ast62QMctgtbpLA41S6qEOe9fZ1i7pJgghSljLw989OJMQoszSV66Dq6srfwY1w8mKUwGSsrLoGL6f+Ph4XFxcrHafklKqRgqFEEIIIQpKGbDq42NVtgcKJSgUQgghRNmglHUXgzzkD1cfSIJCIYQQQpQJRoPCiCw0KSgJCoUQQghRJiiDEWXFhSbKULb3KZSgUAghhBBlgjIqlDXnFMo+hUIIIYQQpZ88Pi4cCQqFEEIIUSYog0JZMShUEhQKIYQQQpR+hjQjBq315hQarPhe5dJAgkIhhBBClAnGLIVRa8XHxzKnUAghhBCi9FOZCmXFoLCsLzTRlnQDhBBCCCGKgtGgskcLrXUUwZxCpRTTpk3Dx8cHBwcHQkJCOHv27H3LbN++nZ49e+Lr64tGo2HNmjW58qxatYouXbrg4eGBRqPh0KFD+W6bBIVCCCGEKBNUptHqR2G9//77zJ8/n4ULFxIeHo6joyOhoaGkpaXds0xycjKNGzdmwYIF980THBzMe++9V+C2yeNjIYQQQpQJKktZ993HhXzNnVKKefPmMXXqVHr37g3At99+i5eXF2vWrOHJJ5+0WK5bt25069btvnU//fTTAFy6dKnA7ZOgUAghhBBlQnKmwapb0qSQPVKYkJBglq7X69Hr9Q8sf/HiRSIiIggJCTGlubq6EhQUxK5du+4ZFBaXhz4o7J55uqSbIEpQeno6s2fPZsqUKXn6Qgohyh75e0CkpaXh7e3N8IiLVr+Xk5MTfn5+ZmnTp09nxowZDywbEREBgJeXl1m6l5eX6VpJeuiDQvG/LT09nZkzZzJx4kT5x0CI/1Hy94Cwt7fn4sWLZGRkWP1eSik0GvO9EO/1527p0qWMHj3adL5u3Tqrtq2wJCgUQgghxEPP3t4ee3v7km6GmV69ehEUFGQ6T09PByAyMhIfHx9TemRkJIGBgcXdvFwkKBRCCCGEsAJnZ2ecnZ1N50opvL29CQsLMwWBCQkJhIeH88ILL5RQK++QoFAIIYQQohhoNBpefPFFZs2aRc2aNalatSpvvPEGvr6+9OnTx5SvU6dO9O3bl7FjxwKQlJTEuXPnTNcvXrzIoUOHKF++PFWqVAHg1q1bXLlyhRs3bgBw+nT2mgtvb2+8vb3z1D4JCsVDTa/XM336dJlHJMT/MPl7QDxMJk2aRHJyMs899xxxcXEEBwezYcMGs0ff58+fJyYmxnS+b98+OnToYDqfOHEiAMOGDWPJkiUA/Prrr4wYMcKUJ2clc14XwQBoVGE33RFCCCGEEA89eaOJEEIIIYSQoFAIIYQQQkhQKIQQQgghkKBQCCGEEEIgQaEQQgghhECCQiGEEEIIgQSFohRbsWIFDRs2xMHBAQ8PD0JCQkhOTgbgyy+/pG7dutjb21OnTh0+/fRTU7lnnnmGRo0amV4nlJGRQZMmTRg6dGiJ9EMIkX8bNmwgODgYNzc3PDw86NGjB+fPnzdd37lzJ4GBgdjb29O8eXPWrFmDRqPh0KFDpjzHjh2jW7duODk54eXlxdNPP22295sQwpwEhaJUunnzJoMGDeKZZ57h5MmTbN26lccffxylFEuXLmXatGm8/fbbnDx5knfeeYc33niDb775BoD58+eTnJzMq6++CsDrr79OXFwcn3zySUl2SQiRD8nJyUycOJF9+/YRFhaGVqulb9++GI1GEhIS6NmzJw0bNuTAgQO89dZbTJ482ax8XFwcHTt2pEmTJuzbt48NGzYQGRnJgAEDSqhHQjwElBCl0P79+xWgLl26lOta9erV1bJly8zS3nrrLdWqVSvT+c6dO5Wtra164403lI2Njfrrr7+s3mYhhPVER0crQB09elR99tlnysPDQ6WmppquL1q0SAHq4MGDSqnsvxO6dOliVsfVq1cVoE6fPl2cTRfioSGvuROlUuPGjenUqRMNGzYkNDSULl260K9fP+zs7Dh//jwjR45k1KhRpvxZWVm4urqazlu1asXLL79sGkEIDg4uiW4IIQro7NmzTJs2jfDwcGJiYjAajQBcuXKF06dP06hRI7PXgrVs2dKs/OHDh9myZQtOTk656j5//jy1atWybgeEeAhJUChKJZ1Ox6ZNm9i5cyd//PEH//d//8frr7/Ob7/9BsCiRYsICgrKVSaH0Whkx44d6HQ6s5eICyEeDj179sTf359Fixbh6+uL0WikQYMGZGRk5Kl8UlISPXv25L333st1zcfHp6ibK0SZIEGhKLU0Gg1t2rShTZs2TJs2DX9/f3bs2IGvry8XLlxgyJAh9yz7wQcfcOrUKbZt20ZoaCiLFy82e1G4EKL0io2N5fTp0yxatIhHH30UgL///tt0vXbt2nz//fekp6ej1+sB2Lt3r1kdTZs2ZeXKlQQEBGBjI//UCZEXstBElErh4eG888477Nu3jytXrrBq1Sqio6OpW7cuM2fOZPbs2cyfP58zZ85w9OhRFi9ezNy5cwE4ePAg06ZN48svv6RNmzbMnTuXCRMmcOHChRLulRAiL9zd3fHw8OCLL77g3Llz/Pnnn0ycONF0ffDgwRiNRp577jlOnjzJxo0bmTNnDpD9yyTAmDFjuHXrFoMGDWLv3r2cP3+ejRs3MmLECAwGQ4n0S4hSr6QnNQphyYkTJ1RoaKiqUKGC0uv1qlatWur//u//TNeXLl2qAgMDlZ2dnXJ3d1dt27ZVq1atUqmpqapevXrqueeeM6uvV69eqnXr1iorK6u4uyKEKIBNmzapunXrKr1erxo1aqS2bt2qALV69WqllFI7duxQjRo1UnZ2dqpZs2Zq2bJlClCnTp0y1XHmzBnVt29f5ebmphwcHFSdOnXUiy++qIxGYwn1SojSTaOUUiUdmAohhBCFsXTpUkaMGEF8fDwODg4l3RwhHkoy0UIIIcRD59tvv6VatWpUqlSJw4cPM3nyZAYMGCABoRCFIEGhEEKIh05ERATTpk0jIiICHx8f+vfvz9tvv13SzRLioSaPj4UQQgghhKw+FkIIIYQQEhQKIYQQQggkKBRCCCGEEEhQKIQQQgghkKBQCCGEEEIgQaEQQgghhECCQiGEEEIIgQSFQgghhBACCQqFEEIIIQTw/y3lhyZXkmmRAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot p-values\n", "alpha=0.05 # p-value threshold\n", "graphics.plot_correlation_matrix(result_univariate[\"base_statistics\"], result_univariate[\"statistical_measures\"],\n", " figsize=(7, 3), ylabel=\"HMM states\", \n", " xticklabels=xticklabels, annot=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Multiple Comparison**\\\n", "To be sure there is no type 1 error, we can apply the Benjamini/Hochberg to control the False Discovery Rate" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pval_corrected, rejected_corrected =statistics.pval_correction(result_univariate[\"pval\"], method='fdr_bh')\n", "# Plot p-values\n", "graphics.plot_p_value_matrix(pval_corrected, title_text =\"Heatmap of corrected p-values\",figsize=(7, 3), \n", " xlabel=\"HMM States\", ylabel=\"\", annot=True, xticklabels=xticklabels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Extra**\\\n", "Now we can try to apply FWER correction directly as a multiple compartion test while doing the permutation testing" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of possible permutations is exp(1586.6248450207656).\n", "Generating 10000 shufflings (permutations only).\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 10000/10000 [00:02<00:00, 4808.36it/s]\n" ] } ], "source": [ "# Set the parameters for between-subject testing\n", "method = \"univariate\"\n", "Nnull_samples = 10_000 # Number of permutations (default = 0)\n", "FWER = True\n", "# Perform across-subject testing\n", "result_univariate_FWER =statistics.test_across_subjects(FO, data_behavioral, \n", " method=method,\n", " Nnull_samples=Nnull_samples,\n", " dict_family=dict_fam,\n", " FWER_correction=FWER)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot p-values" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot p-values\n", "graphics.plot_p_value_matrix(result_univariate_FWER[\"pval\"], title_text =\"Heatmap of p-values (FWER)\",\n", " figsize=(7, 3), xlabel=\"HMM States\", ylabel=\"\", annot=True, xticklabels=xticklabels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Plot permutation distribution**\\\n", "Presented here are the significant test statistics of our permutation distributionfor the different states.\n", "The red line shows the observed statistic, while the datapoints of the histogram represent the permutation distribution" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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", 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", 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot test statistics for pvals\n", "column_pos =0 # Sex is in column position 0 \n", "xlabel = \"test statistics (correlation coefficients)\"\n", "#significant_timestamp_position = np.where(pval_corrected< alpha)\n", "\n", "# Visualizing the permutation distribution for sex, which got index=0\n", "for i in range(result_univariate[\"test_statistics\"].shape[1]):\n", " graphics.plot_permutation_distribution(result_univariate[\"test_statistics\"][:,i,column_pos],title_text=f\"Permutation distribution of State Nr.{i+1} vs. Sex \", xlabel=xlabel )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Conclusion - Univariate\n", "After applying multiple comparison correction, the univariate test reveals significant differences in FO for states 3, 4, and 6 with respect to 'sex' after correcting for FWER. However, no significant differences were observed for any states in 'age.'\n", "\n", "This discrepancy arises because the multivariate test considers the combined contribution of all states to explain the variability in behavioral measurements, capturing subtle, collective effects. In contrast, the univariate test examines each state individually. For 'age,' the variability may be distributed across multiple states, making it undetectable in the pairwise comparisons conducted in the univariate test after correction. This highlights the complementary strengths of the two approaches in analyzing complex relationships." ] } ], "metadata": { "colab": { "include_colab_link": true, "provenance": [], "toc_visible": true }, "kernelspec": { "display_name": "GLHMM_test", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.19" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 0 }