Fitting and Hypothesis testing
• The c2 test
• Likelihood functions
• Fitting
• Binned maximum likelihood
• Unbinned maximum likelihood
Statistics and Data Analysis (HEP)
Prof. dr hab. Elżbieta Richter-Wąs
Follow the course/slides from M. A. Thomson lectures at Cambridge University
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Introduction
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The Chi-Squared Statistic
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The Chi-Squared Statistic in higher dimensions
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Properties of chi-squared
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Example
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Log-Likelihood
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Relationship between chi-squared and likelihood
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Chi-Squared Fitting: Gaussian Errors
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Goodness of Fit
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Example: Straight line fitting
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Binned Maximum Likelihood Fits
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Example
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Binned Maximum Likelihood: Goodness of Fit
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Unbinned Maximum Likelihood Fits
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Another Example
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Extended Maximum Likelihood Fits
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Fitting Summary
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Appendix: The Error Function
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