PE outside its CI! [General Statistics]
Dear Helmut!
Agree. (Although I think this is no longer statistics)
This is what the formulas give.
Do not agree. α=1 means that we err in 100% of cases. Means that in no case the confidence interval includes the population parameter of interest, mean, variance or whatever we are interested in.
For a variance >0 this can only achieved for the interval (0,0) if we talk one-sided upper.
Dunno a same argument for two-sided. Here we have to err in 50% of the cases where population value is > (≥?) PE and another 50% where population value is < (≤?) PE.
❝ ... Now I’m lost. Like you I always thought the two-sided CI gives the range containing the expected value at 1–α/2. In the extreme cases of α=0 the CI should be -∞,+∞*
❝ * For the normal distribution. Here \(]0,+\infty]\ldots\)
Agree. (Although I think this is no longer statistics)
This is what the formulas give.
CVCL(CV=0.3, df=10, side='upper',alpha=0)
lower CL upper CL
0 Inf
CVCL(CV=0.3, df=10, side='2-sided',alpha=0)
lower CL upper CL
0 Inf ❝ and for α=1 CLlo=PE=CLhi. As our Indian friends use to say: Correct me if I’m wrong.
Do not agree. α=1 means that we err in 100% of cases. Means that in no case the confidence interval includes the population parameter of interest, mean, variance or whatever we are interested in.
For a variance >0 this can only achieved for the interval (0,0) if we talk one-sided upper.
Dunno a same argument for two-sided. Here we have to err in 50% of the cases where population value is > (≥?) PE and another 50% where population value is < (≤?) PE.
—
Regards,
Detlew
Regards,
Detlew
Complete thread:
- CV point estimate outside CI d_labes 2012-12-05 12:13
- What the heck? Helmut 2012-12-05 18:41
- Code validated d_labes 2012-12-06 09:21
- PE outside its CI?! Helmut 2012-12-06 11:14
- PE outside its CI?! Jack 2012-12-06 13:20
- PE outside its CI?! Helmut 2012-12-07 15:51
- PE outside its CI!d_labes 2012-12-06 15:04
- PE outside its CI! Helmut 2012-12-07 15:40
- PE outside its CI! ElMaestro 2012-12-07 22:40
- CV of log-normal data d_labes 2012-12-09 16:20
- Two-sided brain d_labes 2012-12-10 08:25
- Operationally equivalent… Helmut 2012-12-11 14:54
- Austrian logic? ElMaestro 2012-12-11 15:41
- Fuzzy logic Helmut 2012-12-11 16:12
- PE outside its CI! ElMaestro 2012-12-07 22:40
- PE outside its CI! Helmut 2012-12-07 15:40
- PE outside its CI?! Jack 2012-12-06 13:20
- PE outside its CI?! Helmut 2012-12-06 11:14
- Code validated d_labes 2012-12-06 09:21
- What the heck? Helmut 2012-12-05 18:41
