What do superscripts and subscripts in statistical notation mean?

Click For Summary
Superscripts and subscripts in statistical notation indicate different types of errors associated with a measurement. In the example given, the notation 2(+0.9 error in superscript and -0.1 error in subscript) suggests a non-symmetric error interval. This means the value can range from 1.9 to 2.9, reflecting the lower and upper bounds of the measurement. The notation effectively communicates the uncertainty in the measurement, distinguishing between the positive and negative error margins. Understanding this notation is crucial for accurately interpreting statistical data.
plasmon
Messages
36
Reaction score
1
I have studied a measurement 2(+0.9 error(written in superscript) and -0.1 error(written in subscript)) in a book that gives statistical value of difefrent parameters . What does this measurement implies. As a normal statistical error is written as (2 +-0.9).
For e.g
2-0.1+0.9
 
Physics news on Phys.org
My best guess is that it is referring to a "non-symmetric" interval: that is
2_{-0.1}^{+0.9} refers to a number that may be as low as 2-0.1= 1.9 or as high as 2+ 0.9= 2.9.
 
The standard _A " operator" maps a Null Hypothesis Ho into a decision set { Do not reject:=1 and reject :=0}. In this sense ( HA)_A , makes no sense. Since H0, HA aren't exhaustive, can we find an alternative operator, _A' , so that ( H_A)_A' makes sense? Isn't Pearson Neyman related to this? Hope I'm making sense. Edit: I was motivated by a superficial similarity of the idea with double transposition of matrices M, with ## (M^{T})^{T}=M##, and just wanted to see if it made sense to talk...

Similar threads

  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K