Confidence interval for Pearson Correlation

2001-07-20 Thread Alexandre Moura

Dear Members,

How can I construct a confidence interval about Pearson correlation using
standard error and t value? What is the formula?

Regards,

Alexandre Moura.




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Re: Confidence interval for Pearson Correlation

2001-07-20 Thread Dennis Roberts

one way ... it is done by transforming the r value to a Fishers big Z ... 
then building the CI around that (there is a stan error of the big Z) ... 
then, finally reconverting the end Z points back to r values ...

At 02:02 AM 10/22/99 -0200, Alexandre Moura wrote:
>Dear Members,
>
>How can I construct a confidence interval about Pearson correlation using
>standard error and t value? What is the formula?
>
>Regards,
>
>Alexandre Moura.
>
>
>
>
>=
>Instructions for joining and leaving this list and remarks about
>the problem of INAPPROPRIATE MESSAGES are available at
>   http://jse.stat.ncsu.edu/
>=

_
dennis roberts, educational psychology, penn state university
208 cedar, AC 8148632401, mailto:[EMAIL PROTECTED]
http://roberts.ed.psu.edu/users/droberts/drober~1.htm



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Re: [Q] testing the (bio)statistics minor

2001-07-20 Thread Jerry Dallal

"J. Williams" wrote:
 
> An oral qualifying examination would certainly test the students'
> abilities to perform under stress.  How about giving them the data
> sets beforehand and enable them to prepare for any and all queries
> from the student's doctoral committee members and/or other designated
> questioners?  Rather than having the questions come out of the blue,
> they would be able to assemble notes, ideas, and a construct for
> solving a research problem using the methods learned in the classes.

Your comment and another sent privately made me appreciate that my
problem was not really that the exam was "oral" but that it was both
oral and "cold".  I think an oral exam based on an analysis
performed immediately beforehand could be an effective measure of a
student's skills.

Thanks!


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Multiple measurements

2001-07-20 Thread Ivan Balducci


Dear members,
I am an engineering brazilian. My job is to help researches in Dental
School about Statistics.
My doubt is...
How can I to comaparing two instruments:
Ultra Som ...versus...Alta Rotação (High Sound &
High Rotation)
Theses instruments are used in Operative Dentistry
to perform  preparos cavitarios (cavity prepair)
The shape of  the prepair is rectangule
WellThe situation isThe specificated area = 6mm2 
(= 2mm x 3mm)
width = 2mm;  length = 3mm
Two samplessize sample is 10 (n = 10) for each instrument
How can I aproach this problem?
I can to do an Analysis Multivariate (T2 Hotteling) : instrument
US x instrument AR ?
I can to do a IC (95%), or t-test, separately for each  variable
(width and length)  and instrument ?
I can to compare the areas (width x length)...for instrument US against
instrument AR ?
Well...
Which is the best, the correct way to approach one problem of this
kind ?
Data:
US:
width:  2.8   2.9   2.9   3.0   
3.0   3.1    2.7   2.5   3.5   
3.2
length: 1.9   2.0   1.9   1.9
2.0   2.0    2.0   1.9   2.2  
2.0
AR:
width: 3.2   3.3   3.5   3.2   
3.5   3.6   3.5   3.7   4.1   
3.4
length: 2.3   2.1   2.1   2.2   
2.7   2.6   2.5   2.4   2.0   
2.5
very thanks for the attention and sorry my english
ivan
 
 
 


Re: EdStat: Probabilistic inference in resampling?

2001-07-20 Thread S. F. Thomas

[EMAIL PROTECTED] (Alex Yu) wrote in message 
news:<[EMAIL PROTECTED]>...

(( cuts ))
> If 
> resampling is based on empirical probability within the reference set, then 
> why do we care about the population variance? 

Because what we "care about" is *prior* to the inferential methods we
use? Sometimes we care about the population mean, sometimes the
variance, sometimes the distributional tails. If you are an engineer
building a leveee the mean height of the river may not be as important
as the high-side variation ...for example.

> Any help will be greatly appreciated.
> 
> 
> Chong-ho (Alex) Yu, Ph.D., MCSE, CNE

Regards,
S. F. Thomas


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Re: Multiple measurements

2001-07-20 Thread Donald Burrill

Hi, Ivan.
I think your problem may not be so simple as you've described it. 
But to begin with the simplest:  In terms of area in mm^2, simply 
multiplying length x width, all of the ultrasound (US) samples except one 
have smaller areas than any of the high-speed drill (AR) samples;  6 of 
the 10 AR samples have larger areas than the largest US sample, and if 
that sample were ignored (3.5 x 2.2 = 7.70 mm^2) ALL of the AR samples 
have larger areas than the remaining nine US samples.  This pattern would 
be significant (p < .001) by Tukey's "Compact" test (1959).
A similar pattern is true of the widths;  the pattern for the 
lengths is less compelling, but would still be significant (p < .01). 

Similar results would be expected from the parametric methods you mention 
in your message (quoted below).

But do you really desire to compare AR with US only on the raw dimensions 
of the cavities?  One could define some "degree of departure" from the 
nominal dimensions (2.0 mm x 3.0 mm), and one might even specify 
"acceptable" and "unacceptable" ranges of values for this measure.

I do not know what would be "unacceptable" for this exercise.  But when 
one is preparing a cavity in a person's tooth, the prepared cavity would 
be unacceptably small if some of the decayed matter remained in the 
tooth;  and the cavity would be unacceptably large if so much of the 
tooth had been removed that what remained was too weak to hold the dental 
filling.

You might also ask how far each prepared cavity departed from the 
intended rectangular shape.  But this may not be a realistic question.
(I've had dentists working on my teeth since about 1945, and I think 
that _none_ of the fillings they prepared were rectangular in shape!) 

In quoting your original message below, I have taken the liberty of 
supplying corrected English, in [square brackets].

On Fri, 20 Jul 2001, Ivan Balducci wrote:

> Dear members,
> I am an engineering brazilian. My job is to help researches in Dental
[ I am a Brazilian engineer.  My job is to help researchers ... ]
> School about Statistics.
> My doubt is...
[ My concern is: ]
> 
> How can I to comaparing two instruments:
> Ultra Som ...versus...Alta Rotação (High Sound & High Rotation)
[ How can I compare two instruments:
  Ultra Som  versus  Alta Rotação (ultrasound vs. high-speed drill) ]
> 
> Theses instruments are used in Operative Dentistry
> to perform  preparos cavitarios (cavity prepair) 
 [(cavity preparation)] 
> The shape of  the prepair is rectangule
{ The shape of the cavity is rectangular. ]
> 
> WellThe situation isThe specificated area = 6mm2  (= 2mm x 3mm)
[ ... The specified area = ... ]
> width = 2mm;  length = 3mm
> 
> Two samplessize sample is 10 (n = 10) for each instrument
> 
> How can I aproach this problem?
> I can to do an Analysis Multivariate (T2 Hotteling) : instrument US x
> instrument AR ?
[ I can do a multivariate analysis (Hotelling's T^2) ... ]
Yes, this is possible.
> I can to do a IC (95%), or t-test, separately for each  variable (width
> and length)  and instrument ?
[ I can do a confidence interval (CI), or t-test ... ]
These are also possible.
> I can to compare the areas (width x length)...for instrument US against
> instrument AR ?
[ I can compare the areas ... ]
And so is this.
> Well...
> Which is the best, the correct way to approach a problem of this kind? 

Any of the ways mentioned above are possible and correct.  It is not 
clear whether any of them is "best", because it is not clear how "best" 
may usefully be defined.  It is also not clear what the specific 
questions are that you really desire to address.  I have tried to 
indicate some of the range of interesting questions that you might be 
interested in.

> Data:[In the data below, I think you have interchanged the 
>   labels "width" and "length".]
> US:
> width:  2.8   2.9   2.9   3.03.0   3.12.7   2.5   3.5   3.2
> length: 1.9   2.0   1.9   1.92.0   2.02.0   1.9   2.2   2.0
> 
> AR:
> width:  3.2   3.3   3.5   3.23.5   3.6   3.5   3.7   4.13.4
> length: 2.3   2.1   2.1   2.22.7   2.6   2.5   2.4   2.02.5
> 
> very thanks for the attention and sorry my english
[ Thank you very much for your attention to my problem. ]
  (Alternatively, you could simply write  TIA, for "Thanks in advance".)

-- Don.
 
 Donald F. Burrill [EMAIL PROTECTED]
 184 Nashua Road, Bedford, NH 03110  603-471-7128



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