标题: About the Z-value / Z-statistics [打印本页] 作者: JustasS 时间: 2011-7-13 16:09 标题: About the Z-value / Z-statistics
When do we use (x - u / o) and (x - u / SE) to calculate z value?
Thanks.作者: homie 时间: 2011-7-13 16:09
I realise (x - u / o) is the z value while (x - u / SE) is the z-stats.
Schweser's professor said on page 246 that both are the same? Or I misunderstand it?作者: Wasteoftime 时间: 2011-7-13 16:09
The first equation is calculating your standard deviation for your normal distribution. Second, if for hypothesis testing.
But I believe both are the same.作者: studyn 时间: 2011-7-13 16:09
What's "o" ?作者: ajpheif16 时间: 2011-7-13 16:09
StD would only equal SE when n=1 then.作者: Flok 时间: 2011-7-13 16:09
I realised there are 3 ways to tackle hypothesis questions.
1) Using x +- critical value X (u / root n) and compare the final value against u. (e.g. Schweser page 298)
2) Using Z/T Statistics (x - u / SE) and compare the final value against critical value.
3) Using p-value.作者: soddy1979 时间: 2011-7-13 16:09
revenant Wrote:
-------------------------------------------------------
> I realise (x - u / o) is the z value while (x - u
> / SE) is the z-stats.
>
> Schweser's professor said on page 246 that both
> are the same? Or I misunderstand it?
(x - u)/SD is used for the Distribution of Population. That is, you have your Population Mean and you are comparing another value with the Mean to see how far (how many standard deviations) that value lies away from the Mean.
(x-u)/SE is used for Distribution of Sample Means. Here you are checking how far (how many SEs away) is your Sample Mean away from the Population Mean.
They are basically same things, just the underlying Distribution is different.作者: ishfaque 时间: 2011-7-13 16:09
revenant, both of your points above mean the same thing.
It is like saying, I have $50 and you have $125. And the question is: Do you have more than 3 times as much money than me?
One way is to multiply 50 by 3 to get 150 and compare your 125 with 150 and produce an answer.
Another way is to devide your 125 by my 50 and compare that with 3 and produce the answer.作者: bluejazzy 时间: 2011-7-13 16:09
Yeah I know both are able to arrive at a same conclusion but in a different way (with different methods and answers too). Just clarifying, thanks.
