{"id":21293314,"url":"https://github.com/ejw-data/stats-guide","last_synced_at":"2025-06-14T00:02:49.034Z","repository":{"id":106650412,"uuid":"282357857","full_name":"ejw-data/stats-guide","owner":"ejw-data","description":"Repo held on my local machine of useful Python stats and visualizaton tools.   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Notebooks are annotated.\n\n## Topics\n\n1.  Central Limit Theorem\n1.  Likelihood versus Probability\n1.  Standard Deviation Heuristics with Normal Distribution\n1.  Distribtion Comparisons (t-distribution and normal distribution)\n1.  Meaning of Test Statistics, t-value and z-value\n1.  Application of Distributions - t-tests and confidence intervals\n1.  Evaluation of Errors, $\\alpha, \\beta$\n1.  Normality Tests\n\n\n## Packages\n* Scipy\n* Statsmodels\n* pyMC3\n* [pingouin](https://pingouin-stats.org/build/html/index.html)\n\n\n\n## Contents\n\n![image1](./images/non_normal_distribution_2023_04_30_82.png)\n\n![image1](./images/central_limit_theorem_2023_04_26_47.png)  \n\n![image1](./images/likelihood_probability_2023_04_30_67.png)  \n\n![image1](./images/t_distribution_2023_04_30_79.png)  \n\n![image1](./images/t_normal_compare_2023_04_30_80.png)  \n\n![image1](./images/heuristics_2023_04_30_78.png)  \n\n![image1](./images/hypothesis_testing2_2023_10_30_45.png)  \n\n\u003ctable style=\"border: 1px solid black;\"\u003e\n    \u003ctr style=\"border: 1px solid black;\"\u003e\n        \u003ctd\u003e\u003c/td\u003e\n        \u003ctd style=\"border: 1px solid black; text-align: center; font-weight:bold;\" colspan=\"2\"\u003e Truth about Population \u003c/td\u003e\n    \u003c/tr\u003e\n    \u003ctr style=\"border: 1px solid black;\"\u003e\n        \u003ctd style=\"border: 1px solid black;  text-align: center; font-weight:bold;\"\u003e Hypothesis \u003c/td\u003e\n        \u003ctd style=\"text-align: center\"\u003e True Effect ($H_1$) \u003c/td\u003e\n        \u003ctd style=\"text-align: center\"\u003e No Effect ($H_0$) \u003c/td\u003e\n    \u003c/tr\u003e\n    \u003ctr\u003e\n        \u003ctd style=\"border: 1px solid black; text-align: center;\"\u003e Reject $H_o$ \u003c/td\u003e\n        \u003ctd style=\"text-align: center\"\u003e True \u003c/td\u003e\n        \u003ctd style=\"text-align: center\"\u003e Type I / Alpha Error \u003c/td\u003e\n    \u003c/tr\u003e\n    \u003ctr\u003e\n        \u003ctd style=\"border: 1px solid black; text-align: center;\"\u003e Fail to Reject $H_o$ \u003c/td\u003e\n        \u003ctd style=\"text-align: center\"\u003e Type II / Beta Error \u003c/td\u003e\n        \u003ctd style=\"text-align: center\"\u003e True \u003c/td\u003e\n    \u003c/tr\u003e\n\u003c/table\u003e  \n\n![image1](./images/anova_data_2023_04_30_73.png)","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fejw-data%2Fstats-guide","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fejw-data%2Fstats-guide","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fejw-data%2Fstats-guide/lists"}