simple rank formula - math

I'm looking for a mathmatical ranking formula.
Sample is
2008 2009 2010
A 5 6 4
B 6 7 5
C 7 8 2
I want to add a rank column for each period code field
rank
2008 2009 2010 2008 2009 2010
B 6 7 5 2 1 1
A 5 6 4 3 2 2
C 7 2 2 1 3 3
please do not reply with methods that loop thru the rows and columns, incrementing the rank value as it goes, that's easy. I'm looking for a formula much like finding the percent total (item / total). I know i've seen this before but an havning a tough time locating it.
Thanks in advance!

sort ((letters_col, number_col) descending by number_col)
As efficient as your sort alg.
Then number the rows, of course
Edit
I really got upset by your comment "please don't up vote this answer, sorting and loop is not what I'm asking for. i specifically stated this in my original question. " , and the negative votes, because, as you may have noted by the various answers received, it's basically correct.
However, I remained pondering where and how you may "have seen this before".
Well, I think I got the answer: You saw this in Excel.
Look at this:
This is the result after entering the formulas and sorting by column H.
It's exactly what you want ...

What are you using? If you're using Excel, you're looking for RANK(num, ref).
=RANK(B2,B$2:B$9)
I don't know of any programming language that has that built in, it would always require a loop of some form.

If you want the rank of a single element, you can do it in O(n) by looping through the elements, counting how many have value above the given element, and adding 1.
If you want the rank of all the elements, the best (and really only) way is to sort the elements. Anything else you do will be equivalent to sorting (there is no "formula")

Are you using T-SQL? T-SQL RANK() may pull what you want.

Related

Conditional sentence for specific rows

Disclaimer: I am not that advanced with R Studio and hence my question might be quite self explanatory.
Lets assume the following data set
**ID value1a value2a value1b value2b ...
1 2 3 ...
8 4 4
2 5 5
I want to create a forth variable that is part of the expression of an if sentence, that logically should go as follows:
If ID = 1 is over 5 in "value1x" and below 3 in "value2x", then add the value 1 to this forth variable. Hence the forth variable should function as a counter, that the number in the forth variable indiciates the frequency of value1x being over 5 and value2x being below 3.
I hope my question makes sense and Id appreciate answers!

What does support feature mean in result of function "term_stats()" from package "tm" in R and how is it different from count?

Running following script will produce the results
a <- c("Your work is going to fill a large part of your life, and the only way to be truly satisfied is to do what you believe is great work. And the only way to do great work is to love what you do. If you haven't found it yet, keep looking. Don't settle. As with all matters of the heart, you'll know when you find it. - Steve Jobs")
a_source <- VectorSource(a)
a_corpus <- VCorpus(a_source)
term_stats(a_corpus)
term_stats(a_corpus)
term count support
1 . 5 1
2 to 5 1
3 is 4 1
4 you 4 1
5 , 3 1
Support is the number of documents where the word occurs, count is the number of occurrences. You need both if doing tf-idf.
library(tm)
txt <- c("Your work is going to fill a large part of your life,
and the only way to be truly satisfied is to do what you
believe is great work.
And the only way to do great work is to love what you do.
If you haven't found it yet, keep looking. Don't settle.
As with all matters of the heart, you'll know when you find it.
- Steve Jobs")
term_stats(VCorpus(VectorSource(txt)))[1:5,]
term count support
. 5 1
to 5 1
is 4 1
#Split txt into 4 docs
txt_df <- data.frame( txt = c(
"Your work is going to fill a large part of your life,
and the only way to be truly satisfied is to do what you
believe is great work." ,
"And the only way to do great work is to love what you do." ,
"If you haven't found it yet, keep looking. Don't settle." ,
"As with all matters of the heart, you'll know when you find it. -
Steve Jobs"))
term_stats(VCorpus(VectorSource(txt_df$txt)))[1:6,]
term count support
. 5 4
you 4 4
, 3 3
the 3 3
to 5 2
is 4 2
Default is to sort by support.

R: Subsetting rows by group based on time difference

I have the following data frame:
group_id date_show date_med
1 1976-02-07 1971-04-14
1 1976-02-09 1976-12-11
1 2011-03-02 1970-03-22
2 1993-08-04 1997-06-13
2 2008-07-25 2006-09-01
2 2009-06-18 2005-11-12
3 2009-06-18 1999-11-03
I want to subset my data frame in such a way that the new data frame only shows the rows in which the values of date_show are further than 10 days apart but this condition should only be applied per group. I.e. if the values in the date_show column are less than 10 days apart but the group_ids are different, I need to keep both entries. What I want my result to look like based on the above table is:
group_id date_show date_med
1 1976-02-07 1971-04-14
1 2011-03-02 1970-03-22
2 1993-08-04 1997-06-13
2 2008-07-25 2006-09-01
2 2009-06-18 2005-11-12
3 2009-06-18 1999-11-03
Which row gets deleted isn't important because the reason why I'm subsetting in the first place is to calculate the number of rows I am left with after applying this criteria.
I've tried playing around with the diff function but I'm not sure how to go about it in the simplest possible way because this problem is already within another sapply function so I'm trying to avoid any kind of additional loop (in this case by group_id).
The df I'm working with has around 100 000 rows. Ideally, I would like to do this with base R because I have no rights to install any additional packages on the machine I'm working on but if this is not possible (or if solving this with an additional package would be significantly better), I can try and ask my admin to install it.
Any tips would be appreciated!

Am I at the deepest hierarchical grouping

I'm working on a Crystal report which is grouped hierarchically. Sometimes the data goes down to a fifth-level grouping, sometimes only a 4th. I'd like to be able to tell if I'm at the deepest level of the tree, so that I can switch from using the data in the group header to using the data in the detail line, setting it to columns. I've tried to use the Maximum() function to see how deep the tree goes, but that requires a field, not just an expression.
I've also tried writing a hierarchical query in Oracle and using the MAX OVER (PARTITION BY parent) clause, but that's only bringing back the data I already have, and in addition, it seems to be forcing me to lose the level-1 lines.
ETA: I have checked the GroupingLevel and HierarchyLevel functions, but those don't seem to help -- they only tell me where I am, not where I'm going. When I said above that I used Maximum(), I should have clarified I meant Maximum(HierarchyLevel(blah)).
ETA2: Ok, say the data looks like this:
id parentid
1
2 1
3 2
4 3
5 3
6 1
7 6
8 7
9 8
10 8
11 8
I want something that will return True for 4, 5, 9, 10, and 11, because that's as far down the tree as I can go.

Voting - Number of votes vs Vote percent?

I've implemented a simple up/down voting system on a website, and I keep track of individual votes as well as vote time and unique user iD (hashed IP).
My question is not how to calculate the percent or sum of the votes - but more, what is a good algorithm for determining a good score based on votes?
I find sorting by pure vote percent to be unacceptable, as well as simply tallying upvotes.
Consider this example:
Image A: 4 upvotes, 1 downvotes
Image B: 5 upvotes, 4 downvotes
Image C: 1 upvote, 0 downvotes
The ideal system would put A first, maybe followed by B and then C.
In a pure percentage scenario, the order is C > A > B. (wrong)
In a pure vote count scenario, the order is B > A > C. (wrong)
I have an idea for a somewhat "hybrid" algorithm based on the system's confidence in a score, maybe something along the lines of:
// (if totalvotes > 0, else score = 0)
score = 1 - ((downvotes+1 / totalvotes+1) * sqrt(1 / totalvotes))
However, I was hoping to ask the community if there are any really well-defined algorithms already out there that I simply don't know about, before I sit around tweaking my algorithm from now until sunset.
I also have date data for each vote - however, the content of the site isn't very time-sensitive so I don't really care to sort by "what's hot" at all.
Sorting by the average of votes is not very good.
By instead balancing the proportion of positive ratings with the uncertainty of a small number of observations like explained in this article, you achieve a much better representation of your scores.
The article below explains how to not make the same mistake that many popular websites do. (Amazon, urbandictionary etc.)
http://evanmiller.org/how-not-to-sort-by-average-rating.html
Hope this helps!
I know that doesn't answer your question, but I just spent 3 minutes for fun trying to find some formula and... just check it :) A column is upvotes and B is downvotes :)
=(LN((A1+1)/(A1+B1+1))+1)*LN(A1)
5 3 0.956866995
4 1 1.133543015
5 4 0.787295787
1 0 0
6 4 0.981910844
2 8 -0.207447157
6 5 0.826007385
3 3 0.483811507
4 0 1.386294361
5 0 1.609437912
6 1 1.552503332
5 2 1.146431478
100 100 -3.020151034
10 10 0.813671022

Resources