Re: When Can We Really Use CLT & Student t

2001-11-28 Thread Jerry Dallal
Ronny Richardson wrote: > > As I understand it, the Central Limit Theorem (CLT) guarantees that the > distribution of sample means is normally distributed regardless of the > distribution of the underlying data as long as the sample size is large > enough and the population standard deviation is

Re: When Can We Really Use CLT & Student t

2001-11-28 Thread Jerry Dallal
> "Kaplon, Howard" wrote: > > What many authors do, I believe, is employ the Law of Large > Numbers, and say that for n sufficiently large, the probability > approaches 0 that | sigma - s | is different from 0. That is > sigma and s may be interchanged with "minimal" probability of any > change

Re: When Can We Really Use CLT & Student t

2001-11-23 Thread Herman Rubin
In article <[EMAIL PROTECTED]>, Kaplon, Howard <[EMAIL PROTECTED]> wrote: >This is a multi-part message in MIME format. >It has been a long time; so if I am wrong, please fan the flames gently. >The derivation of the t distribution is from the ratio of a Normal(0,1) >over the square root of a C

Re: When Can We Really Use CLT & Student t

2001-11-23 Thread Herman Rubin
In article <[EMAIL PROTECTED]>, Ronny Richardson <[EMAIL PROTECTED]> wrote: >As I understand it, the Central Limit Theorem (CLT) guarantees that the >distribution of sample means is normally distributed regardless of the >distribution of the underlying data as long as the sample size is large >eno

Re: When Can We Really Use CLT & Student t

2001-11-21 Thread Rich Ulrich
On 21 Nov 2001 10:18:01 -0800, [EMAIL PROTECTED] (Ronny Richardson) wrote: > As I understand it, the Central Limit Theorem (CLT) guarantees that the > distribution of sample means is normally distributed regardless of the > distribution of the underlying data as long as the sample size is large >

Re: When Can We Really Use CLT & Student t

2001-11-21 Thread Jay Warner
Ronny Richardson wrote: > As I understand it, the Central Limit Theorem (CLT) guarantees that the > distribution of sample means is normally distributed regardless of the > distribution of the underlying data as long as the sample size is large > enough and the population standard deviation is kn

Re: When Can We Really Use CLT & Student t

2001-11-21 Thread Gus Gassmann
Ronny Richardson wrote: > As I understand it, the Central Limit Theorem (CLT) guarantees that the > distribution of sample means is normally distributed regardless of the > distribution of the underlying data as long as the sample size is large > enough and the population standard deviation is kn

Re: When Can We Really Use CLT & Student t

2001-11-21 Thread Vadim and Oxana Marmer
On 21 Nov 2001, Ronny Richardson wrote: > As I understand it, the Central Limit Theorem (CLT) guarantees that the > distribution of sample means is normally distributed regardless of the > distribution of the underlying data as long as the sample size is large > enough and the population standard

RE: When Can We Really Use CLT & Student t

2001-11-21 Thread Kaplon, Howard
Title: RE: When Can We Really Use CLT & Student t It has been a long time; so if I am wrong, please fan the flames gently. The derivation of the t distribution is from the ratio of a Normal(0,1) over the square root of a ChiSquare divided by its degrees of freedom.     t =  [(x

Re: When Can We Really Use CLT & Student t

2001-11-21 Thread Dennis Roberts
At 12:49 PM 11/21/01 -0500, Ronny Richardson wrote: >As I understand it, the Central Limit Theorem (CLT) guarantees that the >distribution of sample means is normally distributed regardless of the >distribution of the underlying data as long as the sample size is large >enough and the population s

When Can We Really Use CLT & Student t

2001-11-21 Thread Ronny Richardson
As I understand it, the Central Limit Theorem (CLT) guarantees that the distribution of sample means is normally distributed regardless of the distribution of the underlying data as long as the sample size is large enough and the population standard deviation is known. It seems to me that most st