Does anyone know what the properties of t-values are? As I know it's just the ration t =

Serena Carpenter 2022-05-28 Answered
Does anyone know what the properties of t-values are?
As I know it's just the ration
t = x ¯ μ s / n
which follows a t-distribution.
Used in mean-comparison tests and as a consequence also to check the significance of single independent variables in regression analysis. To generalize, t-values are used for hypothesis testing. Am I right with these properties?
Thanks!
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Answers (1)

Megan Mathis
Answered 2022-05-29 Author has 10 answers
I think of properties as intrinsic to something, not as a function of how it is used. To rattle off a few properties:
It approaches cauchy distribution as df →0
Is approaches a normal (0,1) distrbution as df →
It is symmetric and relatively light tailed compared to a normal RV with equivalent mean and variance (not to be confused with the fact that it produces wider confidence intervals)
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