Hello Colleagues,
I need your advice on two unrelated questions, as follows:
First Question:
Would you say that traditional hypothesis testing (based on alpha levels set by a researcher in combination with empirical p values or use of tabled critical values) and traditional confidence intervals (with confidence placed in the long term process) is based on
(a) the classical view/interpretation of probability or
(b) the frequentist view/interpretation of probability?
Second Question:
If you had to use a non mathematical (intuitive) definition of the CLT, which of the following would you prefer? Note that only four (underlined) words differentiate the two definitions:
Definition-(a) Central Limit Theorem A statistical proposition to the effect that the larger a sample size the more closely a *sampling distribution of a statistic will approach a *normal distribution. This is true even if the population from which the sample is drawn is not normally distributed. A sample size of 30 or more will usually result in a sampling distribution for the mean that is very close to a normal distribution. The central limit theorem explains why *sampling error is smaller with a large sample than with a small sample and why we can use the *normal distribution to study a wide variety of statistical problems.
Definition-(b) Central Limit Theorem A statistical proposition to the effect that the larger a sample size the more closely the *sampling distribution of a sum or a mean will approach a *normal distribution. This is true even if the population from which the sample is drawn is not normally distributed. A sample size of 30 or more will usually result in a sampling distribution for the mean that is very close to a normal distribution. The central limit theorem explains why *sampling error is smaller with a large sample than with a small sample and why we can use the *normal distribution to study a wide variety of statistical problems.
Please send your response to [log in to unmask]
As always, thank you for your responses!
Burke Johnson
http://www.southalabama.edu/coe/bset/johnson/dr_johnson/2vita.htm
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