Wolfram Function Repository
Instant-use add-on functions for the Wolfram Language
Function Repository Resource:
ChiSquare
Estimate the confidence interval based on a Chi-squared distribution
Contributed by:
Wolfram Research
ResourceFunction["ChiSquareCI"][var,df] gives a confidence interval based on a χ2 distribution with df degrees of freedom. |
Details and Options
ResourceFunction["ChiSquareCI"][var,df] gives a confidence interval {min,max} for a population variance estimated by var.
For confidence level α, 
and 
, where qi is the ith quantile of a χ2 distribution with df degrees of freedom.
and , where qi is the ith quantile of a χ2 distribution with df degrees of freedom.ResourceFunction["ChiSquareCI"] is the confidence interval for a population variance based on a sample variance var estimated from a sample of size df+1.
The following option can be given:
| ConfidenceLevel | 0.95 | probability associated with a confidence interval |
Examples
Basic Examples (1)
A 95% confidence interval based on a χ2 distribution:
| In[1]:= | ![ResourceFunction["ChiSquareCI"][1, 10]](https://www.wolframcloud.com/obj/resourcesystem/images/591/5913e19d-d232-409d-b677-48ddaa41c484/42df4128b8a32f61.png){kind=small} |
| Out[1]= |  |
Options (1)
ConfidenceLevel (1)
A 99% confidence interval:
| In[2]:= | ![ResourceFunction["ChiSquareCI"][1, 10, ConfidenceLevel -> .99]](https://www.wolframcloud.com/obj/resourcesystem/images/591/5913e19d-d232-409d-b677-48ddaa41c484/27f871f250f98373.png){kind=small} |
| Out[2]= |  |
Related Links
Requirements
Wolfram Language 11.3 (March 2018) or above
Version History
- 1.0.0 – 13 February 2019
Related Resources
Related Symbols
License Information
This work is licensed under a Creative Commons Attribution 4.0 International License