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  "Title": "VCG Sampling using Energy-Based Covariate Balancing",
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  "Description": "Provides a principled framework for sampling Virtual\nControl Group (VCG) using energy distance-based covariate\nbalancing. The package offers visualization tools to assess\ncovariate balance and includes a permutation test to evaluate\nthe statistical significance of observed deviations.",
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    "combine_variables",
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    "energy_test",
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    "launchApp",
    "multiSampler",
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    {
      "page": "BestVCGsize",
      "title": "The function attempts to find the optimal size for VCG.",
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      ]
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    {
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      "title": "Combine data from pool and treated groups",
      "topics": [
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      "title": "Compute Weighted Combined Score from Multiple ariables",
      "topics": [
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    },
    {
      "page": "energy_distance",
      "title": "Compute Energy Distance Between Two Groups",
      "topics": [
        "energy_distance"
      ]
    },
    {
      "page": "energy_test",
      "title": "Permutation Energy Test for Covariate Imbalance",
      "topics": [
        "energy_test"
      ]
    },
    {
      "page": "find_outliers",
      "title": "Find Outlier Groups Based on Energy Distance",
      "topics": [
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      ]
    },
    {
      "page": "launchApp",
      "title": "@title Launch the Shiny App",
      "topics": [
        "launchApp"
      ]
    },
    {
      "page": "multiSampler",
      "title": "Multi-Sample VCG Generator and Overlap Visualization",
      "topics": [
        "multiSampler"
      ]
    },
    {
      "page": "plot_var",
      "title": "Visualize Covariate Distribution Across TG, VCG, and POOL",
      "topics": [
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      ]
    },
    {
      "page": "robust_scale",
      "title": "Robust Scaling of Numeric and Categorical Variables",
      "topics": [
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      ]
    },
    {
      "page": "VCG_sampler",
      "title": "VCG Sampler for Energy Distance Balancing",
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