If you are comparing subgroups of a data set, how can you determine if the variance between subgroups is significant?

Question

If you are comparing subgroups of a data set, how can you determine if the variance between subgroups is significant?

1 Answer

Impact of this question

2343 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-07-22T16:24:42

hypothesis testing using $χ^{2}$ $chi^2$ .

Explanation:

hypothesis testing using $χ^{2}$ $chi^2$ .

The null hypothesis is $σ_{1}^{2} = σ_{2}^{2}$ $sigma_1^2 = sigma_2^2$
The alternate is $σ_{1}^{2} \neq σ_{2}^{2}$ $sigma_1^2 != sigma_2^2$

The test statistic is $t = \frac{σ_{1}^{2}}{σ_{2}^{2}}$ $t=sigma_1^2/sigma_2^2$ . The more we deviate from 1 the more likely we are to reject the null.

Science

Math

Humanities

... and beyond

If you are comparing subgroups of a data set, how can you determine if the variance between subgroups is significant?

1 Answer

Explanation:

Related questions

Impact of this question