How does the Confidence Interval for Variance and Standard Deviation Calculator work?
Free Confidence Interval for Variance and Standard Deviation Calculator - Calculates a (95% - 99%) estimation of confidence interval for the standard deviation or variance using the χ2 method with (n - 1) degrees of freedom.
This calculator has 3 inputs.
What 4 formulas are used for the Confidence Interval for Variance and Standard Deviation Calculator?
Degrees of Freedom = n - 1
Square Root((n - 1)s2/χ2α/2) < σ < Square Root((n - 1)s2 / χ21 - α/2)
Square Root((n - 1)s2/χ2α/2) < σ2 < Square Root((n - 1)s2 / χ21 - α/2)
What 5 concepts are covered in the Confidence Interval for Variance and Standard Deviation Calculator?
- confidence interval
- a range of values so defined that there is a specified probability that the value of a parameter lies within it.
- confidence interval for variance and standard deviation
- a range of values that is likely to contain a population standard deviation or variance with a certain level of confidence
- degrees of freedom
- number of values in the final calculation of a statistic that are free to vary
- standard deviation
- a measure of the amount of variation or dispersion of a set of values. The square root of variance
- variance
- How far a set of random numbers are spead out from the mean
Example calculations for the Confidence Interval for Variance and Standard Deviation Calculator