# 5 - Understanding Chi-Squared 2 = reduced 2 = yi f xi ai i...

This preview shows pages 1–3. Sign up to view the full content.

1 Understanding Chi-Squared • Consider 2 situations: – Comparing sampled Data directly with the parent distribution from which it came – Comparing sampled Data with our best estimate of that parent distribution 2 1 2 ) ; ( = = N i i i i i a x f y σ χ 2 1 2 2 ) ; ( 1 reduced = = = N i i i i i a x f y M N DOF Performing a Least-Squares Fit and Understanding the Result A complete example Δ V = 0.05 V for all measurements () 2 1 2 = Δ + = N i i i i y b ax y SUMMARY: Best Fit line with χ 2

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2 Compute Chi-Square for fit () 2 1 2 = Δ + = N i i i i y b ax y χ = 1.95 (for example data on previous slide) DF = Degrees of Freedom P = Probability of exceeding the tabulated value of Chi-square (for a given DF) How do we interpret this value of Chi-Square? • We interpret this the following way: If we were to repeat the same experiment many times, we would expect approximately 96% of those
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 3

5 - Understanding Chi-Squared 2 = reduced 2 = yi f xi ai i...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online