Author: Pablo Cabrera-Álvarez and Modesto Escobar

# surCoin

#### Pablo Cabrera-Álvarez and Modesto Escobar

The function `surCoin()`, starting from a data frame, generates a list (an object of class `netCoin`) containing the nodes, links, and options resulting from the coincidence analysis. This object can be plotted to generate an interactive graph.

# Loading data

For this example we will use the `ess` sample data which is loaded with the package. This data frame contains a simple random sample of 1,000 people with a small subset of the variables from the 8th round of the European Social Survey (ESS) in Europe:

1. Gender (female, male).
2. Age (15-29, 30-39, 40-49, 50-59, 60-69, 70 and more).
3. Social participation in the last 12 months (yes, no).
4. Political participation in the last 12 months (yes, no).
5. Country and probability weight.

    head(ess)
    #>   Gender      Age Social participation Political participation   cweight
    #> 1   Male 70 and +                   No                      No 2.0248654
    #> 2   Male    60-69                   No                      No 0.3356693
    #> 3 Female 70 and +                   No                      No 1.7896714
    #> 4 Female    60-69                  Yes                     Yes 0.3704806
    #> 5   Male    15-29                  Yes                      No 0.2881183
    #> 6 Female    40-49                   No                      No 0.7965410

# Simple surCoin

The most simple way to run a coincidence analysis is to use `surCoin()` including the data and a vector (`set`) with the names of the variables to be used in the analysis. In this case we add `Gender`, `Age`, `Social participation` and `Political participation`:

    set <- c("Social participation", "Political participation", "Gender", "Age")
    essCoin <- surCoin(data = ess, variables = set)
    essCoin
    #>
    #> Nodes(12):
    #>                         name        %                variable
    #>      Social participation:No 60.08024    Social participation
    #>     Social participation:Yes 39.91976    Social participation
    #>   Political participation:No 72.21665 Political participation
    #>  Political participation:Yes 27.78335 Political participation
    #>                Gender:Female 53.56068                  Gender
    #>                  Gender:Male 46.43932                  Gender
    #> ...
    #>
    #> Links(24):
    #>                    Source                      Target  Haberman       p(Z)
    #>   Social participation:No  Political participation:No 11.755060 0.00000000
    #>   Social participation:No               Gender:Female  1.837566 0.03321192
    #>   Social participation:No                   Age:60-69  2.053822 0.02012663
    #>   Social participation:No                Age:70 and +  1.673124 0.04730833
    #>  Social participation:Yes Political participation:Yes 11.755060 0.00000000
    #>  Social participation:Yes                 Gender:Male  1.837566 0.03321192
    #> ...

An interactive plot of the coincidence analysis can be produced using the `plot()` function. Note that the output is an html page that will open in the default browser.

    plot(essCoin)

# Customising surCoin

## Dealing with dichotomous variables

For binary variables we may want to represent only one category and hide the counterpart. For instance, the variable about social participation (`Social participation`) has two categories and we want just to represent the cases who have participated socially:

    essCoin <- surCoin(data = ess,
                        variables = set,
                        dichotomies = c("Social participation", "Political participation"),
                        valueDicho = "Yes"
                        )
    plot(essCoin)

## Analysis and stats

`surCoin()` allows for the use of weights. Also different procedures can be used to assess the strength of the coincidences, the default is `haberman` or adjusted residuals. A full list of the measures available can be found in the function specification. In this case we will set the weight to `cweight` and ask for three different measures: frequencies (`f`), Conditional relative frequencies (`i`) and adjusted residuals (`h`).

    essCoin <- surCoin(data = ess,
                        variables = set,
                        dichotomies = c("Social participation", "Political participation"),
                        valueDicho = "Yes",
                        weight = "cweight",
                        procedures = c("f", "i", "h"),
                        )
    plot(essCoin)

## Output

Some aspects of the output can be customised, for example, we may want to use the argument `exogenous` to exclude the relationships amongst the categories of a variable or supress those categories without any relation with others with the argument `degreeFilter`. In this case we will set gender (`Gender`) and age (`Age`) as exogenous.

    essCoin <- surCoin(data = ess,
                        variables = set,
                        dichotomies = c("Social participation", "Political participation"),
                        valueDicho = "Yes",
                        weight = "cweight",
                        procedures = c("f", "i", "h"),
                        exogenous = c("Gender", "Age"),
                        degreeFilter = 1,
                        )
    plot(essCoin)

# Using addNetCoin to enhance output

To customise the coincidence analysis you can use any of the `netCoin()` arguments. Even more you can use the addNetCoin function with the previous `essCoin` object as input, instead of `data` and `variables`. For instance, we may want to use the aesthetics color to differentiate the nodes. Each node will take a different fill color if we set the argument `color` to the variable `"name"`. In addition, we can also establish the size of the nodes based on the relative freqencies, to do this the argument size must equal `"%"` The variable `name` in the nodes dataset refers to the name of each node, a combination of the variable name and the category. You can access the nodes data frame from the surCoin object:

    essCoin <- addNetCoin(essCoin,
                        color = "variable",
                        size = "%")
    print(essCoin$nodes[1:5,], row.names=FALSE)

    plot(essCoin)

## Differentiate variables using netCoin aesthetics

You may want to differentiate the nodes from their degree using an aesthetics like color or shape. To do this we need to write “degree” in the aesthetics, as the column `degree` is present automatically in the nodes dataset.

    essCoin <- addNetCoin(essCoin,
                        shape = "degree")

    plot(essCoin)

# Save and transform surCoin

You may want to save the output of `surCoin()` or transform the object to be used in igraph.

## Save output

To save the output we use the argument `dir` to set the directory where we want the html page to be stored.

    essCoin <- addNetCoin(essCoin,
                        dir = "./temp/ess/"
                        )

## Export as an igraph object

Finally, if you wanted to generate an igraph object , you could use the function `toIgraph` applied to the `netCoin` object, named `essCoin` in this example.

    essCoin.igraph <- toIgraph(essCoin)