0
$\begingroup$

This is a cross-post from Mathematics forum. As no one has answered it yet, I fIgured post here as well.

I would like to describe a transform I used to rank my data points. I have recoded my variable columns from $10$ measurements with different range to $n$ (for each measurement) where $n \in \{0,0.5,1\}$.

For columns where measurements were expressed as categorical values I simply recoded the categorical value to either $0$, $0.5$ or $1$ and for continuous variables I recoded the lower quartile as $0$, interquartile as $0.5$ and upper quartile as $1$ and finally I summed the recoded values to produce a single score $\sum n_{i1,..i10} $ for each row.

I am trying to write my method and I'd like to have it in mathematical notation. I was wondering if anyone could help me with this!

$\endgroup$
11
  • $\begingroup$ Maybe try stats.stackexchange.com $\endgroup$ Aug 2, 2017 at 22:09
  • $\begingroup$ What do you mean by "have it in mathematical notation"? Can you give an example of something you consider "in mathematical notation"? $\endgroup$
    – bli
    Aug 3, 2017 at 7:54
  • 1
    $\begingroup$ Also, it would be good to include the link to the cross-post $\endgroup$
    – bli
    Aug 3, 2017 at 7:55
  • $\begingroup$ Hi bli, Thank you for your comment. By mathematical notation I mean mathematical representation of my transform. I am including the link as you suggested! $\endgroup$
    – RJF
    Aug 3, 2017 at 9:29
  • 1
    $\begingroup$ Your question is not very clear to me. So can you please try to explain it with some example. Then we may able to help you. $\endgroup$ Aug 4, 2017 at 9:45

1 Answer 1

1
$\begingroup$

Here is my solution to the problem. I am posting it here in case anyone else come up with the same idea but did not know how to formulate it in mathematical notation!

$$ \psi_i = \sum_{i=1}^9 S_i $$

where $S_i$ is the score function and defined as:

$$ S_i = \cases{ 0 & \text{if $\theta(x_i) < Q_1$ or $\theta(x_i) = $ benign/neutral} \\ 0.5 & \text{if $Q_1 \leq \theta(x_i) < Q_3$ or $\theta(x_i) = $ possibly damaging/uncertain} \\ 1 & \text{if $\theta(x_i) \geq Q_3$ or $\theta(x_i) = $ damaging} } $$

The $\theta(x_i)$ is the pathogenicity or conservation score for variant $x$ as defined by model $i$ and $Q$ denotes the quartile range for scores from M-CAP, CADD, GERP and Phylop models.

$\endgroup$
2
  • 1
    $\begingroup$ If Q are quartiles, then the last line for damaging shouldn't be $>Q_3$? $\endgroup$
    – llrs
    Aug 18, 2017 at 9:47
  • $\begingroup$ @Konrad and Reza : Can you look into this problem and provide some suggestions. math.stackexchange.com/questions/2716192/… $\endgroup$
    – everestial
    Mar 31, 2018 at 15:59

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.