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  "Title": "Nonparametric Bounds for the Average Causal Effect Due to Balke\nand Pearl and Extensions",
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  "Description": "Implementation of the nonparametric bounds for the average\ncausal effect under an instrumental variable model by Balke and\nPearl (Bounds on Treatment Effects from Studies with Imperfect\nCompliance, JASA, 1997, 92, 439, 1171-1176,\n<doi:10.1080/01621459.1997.10474074>). The package can\ncalculate bounds for a binary outcome, a binary\ntreatment/phenotype, and an instrument with either 2 or 3\ncategories. The package implements bounds for situations where\nthese 3 variables are measured in the same dataset (trivariate\ndata) or where the outcome and instrument are measured in one\nstudy and the treatment/phenotype and instrument are measured\nin another study (bivariate data).",
  "License": "GPL-3",
  "URL": "https://github.com/remlapmot/bpbounds,\nhttps://remlapmot.github.io/bpbounds/,\nhttps://mrcieu.r-universe.dev/bpbounds",
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  "Date/Publication": "2026-05-24 15:19:49 UTC",
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  "Author": "Tom Palmer [aut, cre] (ORCID: <https://orcid.org/0000-0003-4655-4511>),\nRoland Ramsahai [aut] (ORCID: <https://orcid.org/0000-0002-7349-1977>),\nVanessa Didelez [aut] (ORCID: <https://orcid.org/0000-0001-8587-7706>),\nNuala Sheehan [aut] (ORCID: <https://orcid.org/0000-0001-9094-2605>)",
  "Maintainer": "Tom Palmer <remlapmot@hotmail.com>",
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      "title": "Nonparametric Bounds for the Average Causal Effect due to Balke and Pearl.",
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        "bpbounds"
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      "title": "Nonparametric bounds for the average causal effect: bpbounds examples",
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        "Introduction",
        "Features of the bpbounds package",
        "Vitamin A supplementation example",
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        "Treating the data as bivariate",
        "Mendelian randomization example",
        "Simulated example that does not satisfy the IV conditions",
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