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John Smith wrote:
Date: Nov 14, 2007 4:52 PM
Author: John Smith
Subject: Re: Turn a uniform number to normal random numbers
Luis,
No professional statistician believes that a parameter has 99% chance of falling in an interval. How about if I call up Lilliefors and ask him?
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MY RESPONSE
DO YOU KNOW what’s Lilliefors address?
Is he indulging to read your and my thesis?
If so ****** invite him to put a post here in order that this point could finally be clarified. *********
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Sincerely, I would be much, much obliged
DO NOT GIVE UP!
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Luis Amaral Afonso
Luis,
You never bothered to finish discussing your last error before you committed another one. Please pay attention.
On Nov 11, 4:22 am
You wrote:
"From this values we obtain the CONFIDENCE INTERVALS of the two-tailed tests relative to the probabilities 99%, 98%, 95% the parameter be inside." Either the parameter is INSIDE or OUTSIDE. The probability that the parameter is inside is either 100% or 0%. Same for the probability that the parameter is outside. Please defend your assertion that there can be a 99% probability that a parameter is inside the interval. John
Quoting from
ON THE KOLMOGOROV-SMIRNOV TEST FOR NORMALITY WITH MEAN AND VARIANCE UNKNOWN
Hubert W. Lilliefors , Journal of the American Statistical Society, VOLUME 62, NUMBER 318, June 1967.
**This note presents a table for use with the Kolmogorov-Smirnov statistics when testing that a set of observations are from a normal population but the mean and variance are not specified.
The procedure is: Given a sample of N observations, one determines
D=max | F*(X) – S(X)| where S(X) is the sample distribution function and F* (X) is the cumulative normal distribution function with mu= Xhat, the sample mean, and sigma^2 = s^2, the sample variance, defined with denominator N-1.
If the value of D exceeds the critical value in the table, we reject the hypotheses that the observations are from a normal population.
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My comment
Why you do not READ and UNDERSTAND Lilliefors idea and cease, once for all, to say nonsence?
When you take care to be quiet on matters you do not grasp?
Why you think a little o the theoretical bases behind the procedure: Empirical Cumulative Frequencies and Exact DF, differences limited by the DKW inequality, Confidence Intervals defined by ECF?
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Luis Amaral Afonso
I just got off the phone with Lilliefors. He said that you should take a statistics course and learn the difference between a statistic and a parameter, because there is no 99% probability that a parameter falls in an interval.
John
You think I am a SUCKER?
BY PHONE, NEVE EVER!!!!!!
I DEMAND Hubert W, Lilliefors to deny here, in Sci Stat Math. his assertion (I copied EXACTLY FROM THE PAPER) that using HIS TABLE WE ARE able to get CONFIDENCE INTERVALS of the K-S TEXT .when the Population mean and std, deviation are unknown.
What a CRIMINAL evasive: YOU ARE AN INDECENT LIAR
PHONE!!!!!!!!!!!!!!!!!!!!!
(I expect yet – the PHONE TRICK – from you )
ARE YOU AWARE THAT NOBOBY BELIEVE IN THAT PHONE????????
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Luis Amaral Afonso