In previous blogs I discussed how macros in Excel can be used to create simulations for repeated dice rolls. While the basic macro coding skills covered in those blogs are useful for producing slick, pre-created examples, they do require a significant investment of time and effort to produce. This blog explores an alternative approach to producing simulated data in Excel and then using R to analyse it. The data to be simulated is the process of flipping five coins and counting the number of heads.
The first step is to mathematise the act of flipping a coin: the easiest way to do this is to assign a score of 0 for a tail and 1 for a head. In Excel, type into a cell =RANDBETWEEN(0,1) and it will generate randomly either a 1 or a 0. In essence, that is the simulation built. In the case of five concurrent coin flips, simply copy the formula into five adjacent cells and to get a count of the number of heads, use the sum command =SUM(A2:E2) to add the coin flips. To generate a set of results simply highlight all 6 cells, then click and drag the formulae down by using the small “plus” sign in the bottom right corner of the highlight box.
![](data:image/png;base64,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)
It’s not necessary to name the columns, but it does make the commands in R a little simpler if you do.
The next step is to save the data in a format that can be read by R. Choose save as CSV and save the data to your R working directory. In the example we will assume the file is saved as coins.csv
Now open R and get ready to import the data. Enter the following command:
![](data:image/png;base64,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)
This reads the data from the csv file and stores it in R in an object called myData; typing myData and hitting enter will show the dataset on screen.
For the graph you are only interested in the total column, which can be accessed by typing myData$Total. This is the reason we named the columns in the original spreadsheet, as by default, R will assign columns names such as X1.1 if it is forced to make something up.
It can be useful to assign the column to a more simply named data object, and it would also be helpful to have the data in the form of a table, rather than a list of raw data. We can do both of these in a single command by typing in:
![](data:image/png;base64,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)
The table() command creates a frequency table from the named object inside the parenthesis and nHeads is the name of this new object.
Typing nHeads will show the table.
To draw a graph simply type plot(nHeads) or barplot(nHeads) depending on whether you prefer a bar chart or a line graph. To change the axis labels and title, a few extra parameters main, xlab and ylab can be added as follows:
![](data:image/png;base64,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)
![](data:image/png;base64,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)
And that’s it! You can set everything up in advance of a lesson by typing the commands into a notepad app, and then copying and pasting everything to R during the lesson.
![](data:image/png;base64,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)
To update the data, hit F9 in Excel to generate new random numbers, save the file, and then run through the R commands again to show how the precise data changes but the aggregate shape is fairly consistent.
Try varying the number of coins, or the number of simulated trials and see what happens. For a small number of trials, in order to see the individual data, using the graph function stripchart() may be preferable to using plot()
![](data:image/png;base64,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)
In this case, the raw data from the total column is used, method=”stack” formats the dot plot into vertical bars and pch=1 draws circles for each data point which look much nicer than the default squares.
In this example the data used came from a simulation, but any similarly structured dataset recorded in Excel will work equally well.