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- Homework Statement
- Making a ##\chi^2## test on arbitrary measurements.
- Relevant Equations
- ##\chi^2## testing.
1. Suppose one has the measurements [1.20, 1.15 ,2.0 ,1.17] with uncertainties [0.2,0.1,0.8,0.07]. Then, if ##E## is the weighted average, is it correct that ##\chi^2## is simply given by
2. If one has
| x | y |
| -- | -- |
| 0 | 0 ##\pm## 1 |
| 1 | 1 ##\pm## 1 |
| 2 | 4 ##\pm## 1|
| 3 | 9 ##\pm## 1 |
and one would like to test if ##y=ax+b##, then what is ##\chi^2##?
##\sum \frac{(O-E)^2}{E} \ ?##
2. If one has
| x | y |
| -- | -- |
| 0 | 0 ##\pm## 1 |
| 1 | 1 ##\pm## 1 |
| 2 | 4 ##\pm## 1|
| 3 | 9 ##\pm## 1 |
and one would like to test if ##y=ax+b##, then what is ##\chi^2##?