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  "Title": "Group Testing Procedures for Signal Detection and\nGoodness-of-Fit",
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  "Author": "Hong Zhang and Zheyang Wu",
  "Maintainer": "Hong Zhang <hzhang@wpi.edu>",
  "Description": "It provides cumulative distribution function (CDF),\nquantile, p-value, statistical power calculator and random\nnumber generator for a collection of group-testing procedures,\nincluding the Higher Criticism tests, the one-sided\nKolmogorov-Smirnov tests, the one-sided Berk-Jones tests, the\none-sided phi-divergence tests, etc. The input are a group of\np-values. The null hypothesis is that they are i.i.d.\nUniform(0,1). In the context of signal detection, the null\nhypothesis means no signals. In the context of the\ngoodness-of-fit testing, which contrasts a group of i.i.d.\nrandom variables to a given continuous distribution, the input\np-values can be obtained by the CDF transformation. The null\nhypothesis means that these random variables follow the given\ndistribution. For reference, see [1]Hong Zhang, Jiashun Jin and\nZheyang Wu. \"Distributions and power of optimal\nsignal-detection statistics in finite case\", IEEE Transactions\non Signal Processing (2020) 68, 1021-1033; [2] Hong Zhang and\nZheyang Wu. \"The general goodness-of-fit tests for correlated\ndata\", Computational Statistics & Data Analysis (2022) 167,\n107379.",
  "License": "GPL-2",
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  "Date/Publication": "2024-07-16 02:45:47 UTC",
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      "title": "CDF of Berk-Jones statitic under the null hypothesis.",
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      "title": "CDF of Higher Criticism statistic under the null hypothesis.",
      "topics": [
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      "title": "Statistical power of Berk and Jones test.",
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      "title": "Statistical power of Higher Criticism test.",
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      "title": "Statistical power of phi-divergence test.",
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      "page": "pphi",
      "title": "calculate the left-tail probability of phi-divergence under general correlation matrix.",
      "topics": [
        "pphi"
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    },
    {
      "page": "pphi.omni",
      "title": "calculate the left-tail probability of omnibus phi-divergence statistics under general correlation matrix.",
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      "title": "Quantile of Berk-Jones statistic under the null hypothesis.",
      "topics": [
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      ]
    },
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      "page": "qhc",
      "title": "Quantile of Higher Criticism statistics under the null hypothesis.",
      "topics": [
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    },
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      "title": "Quantile of phi-divergence statistic under the null hypothesis.",
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      "title": "Construct Berk and Jones (BJ) statistics.",
      "topics": [
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      ]
    },
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      "page": "stat.hc",
      "title": "Construct Higher Criticism (HC) statistics.",
      "topics": [
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      ]
    },
    {
      "page": "stat.phi",
      "title": "Construct phi-divergence statistics.",
      "topics": [
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      ]
    },
    {
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      "title": "calculate the omnibus phi-divergence statistics under general correlation matrix.",
      "topics": [
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    },
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      "page": "test.bj",
      "title": "Multiple comparison test using Berk and Jones (BJ) statitics.",
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