## Statistical independence, what is it? I mean really, what is it?? [General Statistics]

Hi all,

what is statistical independence in layman's terms?? I thought I had a basic understanding of it, but now I am not so sure.

For example: Wikipedia mentions on the page for the t distribution that t=Z/s where Z and s are independent, and Z = (sample mean - mean) and s is the sample sd divided by square root of n.

Given that any perturbation on the data that changes Z will (may) also change s, I am kind of slightly conflicted regarding my own idea of independence.

I am not so much looking for a textbook explaining what it is, or a link to some web page or other. I probably read those links that are the first 50 on google and got nowhere. Rather, I am humbly looking for an explanation that appeals to my braincells, the number of which is very, very limited.

Muchas gracias.

what is statistical independence in layman's terms?? I thought I had a basic understanding of it, but now I am not so sure.

For example: Wikipedia mentions on the page for the t distribution that t=Z/s where Z and s are independent, and Z = (sample mean - mean) and s is the sample sd divided by square root of n.

Given that any perturbation on the data that changes Z will (may) also change s, I am kind of slightly conflicted regarding my own idea of independence.

I am not so much looking for a textbook explaining what it is, or a link to some web page or other. I probably read those links that are the first 50 on google and got nowhere. Rather, I am humbly looking for an explanation that appeals to my braincells, the number of which is very, very limited.

Muchas gracias.

—

Pass or fail!

ElMaestro

Pass or fail!

ElMaestro

### Complete thread:

- Statistical independence, what is it? I mean really, what is it??ElMaestro 2020-06-27 21:35 [General Statistics]
- Die don’t remember the last roll. Really. Helmut 2020-06-28 13:35
- Die don’t remember the last roll. Really. ElMaestro 2020-06-28 14:45
- Die don’t remember the last roll. Really. Helmut 2020-06-28 15:36
- Still none the wiser ElMaestro 2020-06-28 18:20
- You’ve lost me now. Helmut 2020-06-28 21:55
- Worded differently ElMaestro 2020-06-29 08:30
- Still not sure what you are aiming at… Helmut 2020-06-29 16:46
- Still not sure what you are aiming at… ElMaestro 2020-06-30 00:55
- Confuse-a-Cat Helmut 2020-06-30 11:33
- Confuse-a-Cat ElMaestro 2020-06-30 13:07
- Confuse-a-Cat Helmut 2020-06-30 14:27
- pseudorandom and linear independence mittyri 2020-07-01 00:04

- Confuse-a-Cat ElMaestro 2020-06-30 13:07

- Confuse-a-Cat Helmut 2020-06-30 11:33

- Still not sure what you are aiming at… ElMaestro 2020-06-30 00:55

- Still not sure what you are aiming at… Helmut 2020-06-29 16:46

- Worded differently ElMaestro 2020-06-29 08:30

- You’ve lost me now. Helmut 2020-06-28 21:55

- Still none the wiser ElMaestro 2020-06-28 18:20

- Die don’t remember the last roll. Really. Helmut 2020-06-28 15:36

- Die don’t remember the last roll. Really. ElMaestro 2020-06-28 14:45
- Statistical independence, what is it? I mean really, what is it?? martin 2020-07-01 08:40
- Statistical independence, what is it? I mean really, what is it?? ElMaestro 2020-07-01 09:42
- Statistical independence, what is it? I mean really, what is it?? martin 2020-07-01 10:07

- Statistical independence, what is it? I mean really, what is it?? ElMaestro 2020-07-01 09:42

- Die don’t remember the last roll. Really. Helmut 2020-06-28 13:35