Often when we make a survey to compare various products (or vendors, companies, brands) the results are in the following format:
Now, we can visualize such data in several ways. One of the obvious ways to visualize is to make a stacked bar chart. But it results in poor representation of values as we cannot easily compare ratings of one vendor to another. This is where a panel chart would help. A sample panel chart for above data can be like this:
A panel chart (often called as trellis display or small-multiples) shows data for multiple variables in an easy to digest format. It lets users compare in any way and draw conclusions with ease.
Today, I want to discuss how the principles of panel chart can be applied to visualize a complex set of survey results. For this we will use the recent survey conducted by Gartner on how various customers use BI (Business Intelligence) tools. The folks at Tableau have done good analysis of this data and presented the results in this format:
While the above chart is ok, it doesn’t let you compare vendors very well. We can only compare them on first usage, “viewing static management reports”. For everything else, the base line changes, so it is difficult to draw meaningful conclusions if, for example, you want to know which software is getting used more for “doing complex adhoc analysis”.
Jon Peltier has done beautiful analysis of this chart and presented various alternatives in his post yesterday. One of his recommendations is, of course, making a panel chart like this:
While, Jon’s Panel Chart greatly improves the readability of these survey results, I have 2 problems with it.
- Making such a panel chart in Excel is like baking your own bread. If you are like me, after few hours, you would run to bakery both hungry and frustrated. Panel Charts are not native in Excel. That means, we have to bribe, coax, threaten, protest and bend over backwards to prepare something like this in Excel. Thankfully people have already done that. So we can follow the examples and learn from their lead. [here is a panel chart tutorial from Jon]. However, the point still remains that, creating a panel chart in excel is a pain.
- Once such a panel chart is constructed, it is still pretty rigid. For eg. if you are interested in knowing how IBM as a BI vendor fares, you would like to have the results sorted by IBM’s BI Usages, but doing that in this carefully weaved panel set up means going to square 1 with less dough. So, we are stuck with a panel chart where the values cannot be sorted by any one vendor.
Is there a simpler way to construct panel charts in Excel?
So, I wondered, “is there a better and simpler way to make this chart that would still let me compare values (by BI vendor or BI Usage), let me sort and still save me enough time to drive down to one of the best bakeries in town to get a nice fluffy donut?“.
Of course there is…
The trick is to use Incell Charts. Ahem!
Instead of carefully tweaking chart options, adding dummy series and hiding them in the charts, we can just use incell charts with REPT formula and then align them in the cells. Since Excel naturally has the grid layout, creating panels (or small multiples) is as easy as snapping your fingers. (pls. note, this method of panel chart is only applicable for bar / column charts. If you need panels of line charts or scatter charts, you still need to use the methods suggested by Jon.)
We can also easily add a sorting option and use the lovely LARGE formula to sort the results based on selected vendor.
Here is what I prepared using the above recipe and it took me less than 20 minutes to set this up.
[click here for larger version of this]
How is the above incell panel chart constructed?
I am sure you are eager to know how this chart is constructed. Here is the secret:
- I took the raw data from Jon’s site and then Pivoted it so that we get the survey results in a table (with vendors on top and usages on left).
- I have dedicated a cell to let user select the sort order. Let us call this cell as “K3”
- Based on the vendor selected in K3, I have sorted the entire raw data using LARGE formula (and generous use of MATCH, INDEX, OFFSET formulas as well – examples here and here).
- Then I used the REPT formula to plot the incell bar charts (and the font “play bill” so that the bars look thick and nice).
- I have topped this with conditional formatting so that sorted vendor can be highlighted in different color.
Download the Incell Panel Chart Workbook
Download the Incell Panel chart workbook to play with it. I am sure you will find something useful and fun in that. [mirror download link]
How would you chart survey results?
There are still few problems with this approach though (for eg. adding labels can be a pain), but all in all, this simplifies the charting task and leaves room for adding extra features like sorting, conditional formatting.
Here is a open invitation. We have a long weekend coming up, thanks to Easter. So go ahead and download the original data here. And make your own charts for this survey data. The objective is that we should be able to compare vendors with each other with ease. Save your charts as images and upload them somewhere. Then leave a comment here with that URL so that we all can know how you would chart survey results.
Also, share your opinion on this type of panel charts. What is your experience with them? Do you like / hate panel charts?
19 Responses to “How to Distribute Players Between Teams – Evenly”
An excellent solution, especially for large data sets.
Another solution without using solver would be to assign the player with the highest score to Team 1, the 2nd to team 2, 3rd to team 3, 4th to team 3, 5th to team 2, 6th to team 1, 7th to team 1 and it continues. This method would end up with a Std Dev of 0.001247219. This works best with a distribution with lower Std Dev for the dataset.
Full Disclosure: this is not my idea, remember reading something a few years ago. Think it may have been Ozgrid
thinking back I now remember why I read about it. About 10 years back I had to distribute around 300 team members into 25-30 odd teams. Used this method based on their performance scores. I used the method I described to do this and the distribution was pretty fair.
Solver would have saved me a ton of time though 🙂
I think the issue with you first Solver approach was that you took the absolute value of the sum of team deviations (which should always be zero except for rounding) instead of the sum of the absolute values (which is a reasonable measure of how unbalanced the teams are).
Here's another simple algorithm you could use: you start from the top (with players sorted from high to low), and at each step allocate the next player to whichever team has the smallest total so far. You can implement it dynamically with some formulas so it will update automatically when the data changes.
If the scores were more widely distributed (so that this might end up with not all teams the same size), you could add a constraint to only pick among the teams which currently have fewest players at each step, or just stop adding to any team when it hits its quota.
When I tried it on the sample, I got the three teams below, with a STDEV of 0.000942809 (i.e. about half of what Solver got to).
Team 1: John, Hugo, Tom, Josh, Eric, Zane, Charles, Andrew
Team 2: Barry, Michael, Kenny, Joe, Xavier, Patrick, Oliver, William
Team 3: Henry, Steven, Ben, Frank, Kyle, Edward, Cameron, Lachlan
Thanks for sharing!
Hi,
I was looking at all the solutions and this is closest to what I intended to do. I am dividing a bunch of players into 3 soccer teams. Players availability is also a factor while deciding the teams.
So the steps the excel needs to do is as follows:
1) In availability column if "yes" go to next
2) Equally divide 'Goalkeepers', 'Strikers', 'Defenders' basis their quality
So the end result gives each 3 teams a balance of players playing at different positions.
Can this be done on Google spreadsheet with only availability as an input from the user and rest calculates by itself.
Sorry for asking such a pointed question, but I have been struggling to find a solution for it for sometime now!
Hi Ishaan,
I am working on a similar problem at the moment, so I am wondering if you ever found a solution and if you are willing to share what you did.
Hi everyone, this is a variation of the famous Knapsack Problem https://en.wikipedia.org/wiki/Knapsack_problem.
I had to use a VBA implementation recently as part of a problem, where we ar trying to allocate teams of an organization into different locations (we are a large company with many different team). The goal was to optimally allocate teams to individual buildings without putting too many teams into one building and not splitting teams apart.
As we had around 400 teams of different sizes, solver couldn't handle it anymore. Luckily there is a Knapsack algorithm implementation in VBA readily available on the internet :).
I also went with a heuristic approach first!
An interesting mathematical solution but what if Eric and Xavier can't stand each other or Patrick is best friends with Steven - the real life problems that effect "even" teams.
@Joe
You can add more criteria like
If Eric and Xavier can't stand each other
=OR(AND(E15=1,E16=1),AND(F15=1,F16=1),AND(G15=1,G16=1))
It must be False
If Patrick is best friends with Steven
=OR(AND(E5=1,E17=1),AND(F5=1,F17=1),AND(G5=1,G17=1))
It must be True
Note that the 2 formulas above are exactly the same
except for the ranges
One must be True = Friends
One must be False = Not Friends
Nice Post!
Just one question What if number of players are not even or equally divisible.
Nice post Hui!
I download your workbook and just try to change in options the Precision Restriction from 10E-6 to 10-8 and the Convergence from 10E-4 to 10E-10. The process take almost the same time, but the results was great.
The standard deviation I got was 0,000471.
Team 1: John, Tom, Kenny, Frank, Eric, Xavier, Edward, Zane
Team 2: Steven, Hugo, Ben, Joe, Josh, Oliver, Cameron, William
Team 3: Barry, Henry, Michael, Kyle, Patrick, Charles, Andrew, Lachlan
Great application of Solver! Thanks for the link!
Great explanation. Well done... However, I tried with 6 teams of 4 players and solver never did finish.
How about vba code for the same data set.
I have 3 column A B C wherein A has text and B has number Wherein C is blank. And in C1 been the header C2 where I want the name to come evenly distributed the number which is in Column B.
My Lastcolumn is 1000.
Sorry if I'm being slow here, but how is 'Team Score' calculated? I've gone through the explanation several times but it seems to just appear.
@Hrmft
This process uses the Solver Excel addin
Solver is effectively taking the model and trying different solutions until it gets a solution that meets all the criteria
Then solver puts the solution into the cell and moves to the next cell
So yes it appears to "just appear"
Hi ! Thank you so much ! Works great 🙂
I cannot get the fourth Equation to work in my excel spreadsheet
You have =($E$2:$G$25=0)+($E$2:$G$25=1)=1 as a SUMIF solution, I have, =($F$2:$H$13=0)+($F$2:$H$13=1)=1 as my solution but it does not work. The only thing I changed is the ranges. Any suggestions?
Thank you.
Jim
I cannot get the fourth Equation of TURE or FALSE statements to work in my excel spreadsheet You have =($E$2:$G$25=0)+($E$2:$G$25=1)=1 as a SUMIF solution, I have, =($F$2:$H$13=0)+($F$2:$H$13=1)=1 as my solution but it does not work. The only thing I changed is the ranges. Any suggestions?
Sorry I left some of it out in the previous question,
Thank you. Jim