Physics307L:Schedule/Week 10 agenda: Difference between revisions

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***Maximum likelihood...Chi-squared
***Maximum likelihood...Chi-squared
***Derivative (minimize Chi-squared) / solve
***Derivative (minimize Chi-squared) / solve
**Practical step by step w/ Excel
****Just show the answer, ... skip derivation for time for practical examples.
**Practical step by step w/ Excel..."R"...."Octave?"

Revision as of 02:06, 22 October 2007

  • Fitting a line
    • AKA linear regression; least-squares fit for a line
    • Why fitting a line?
    • Theoretical
      • Assume gaussian distribution for each [math]\displaystyle{ y_i }[/math] with same sigma for all measurements (not necessary, but simplifies it).
      • Maximum likelihood...Chi-squared
      • Derivative (minimize Chi-squared) / solve
        • Just show the answer, ... skip derivation for time for practical examples.
    • Practical step by step w/ Excel..."R"...."Octave?"