*(This is a guest post by my friend Yoni Sidi, a PhD candidate in statistics at the Hebrew University)*

### Background

**Please note**that as of Friday (March 13th), until election day (March 17th), it is forbidden to perform new polls in Israel, hence the data presented here

**cannot**allow for an up-to-date inference about the expected results of the election. This post is for educational purposes.

### Running the election polls Shiny app on your computer

The github repo is available here.

#changing locale to run on Windows if (Sys.info()[1] == "Windows") Sys.setlocale("LC_ALL","Hebrew_Israel.1255") #check to see if libraries need to be installed libs <- c("shiny","shinyAce","httr","XML","stringr","ggplot2","scales","plyr","reshape2","dplyr") x <- sapply(libs,function(x)if(!require(x,character.only = T)) install.packages(x)) rm(x,libs) #run App shiny::runGitHub("Elections","yonicd",subdir="shiny") #reset to original locale on Windows if (Sys.info()[1] == "Windows") Sys.setlocale("LC_ALL") |

## Usage Instructions:

## Current Polling

- The latest polling day results published in the media and the prediction made using the Project 61 weighting schemes. The parties are stacked into blocks to see which block has best chance to create a coalition.

The Project 61 prediction is based past pollster error deriving weights from the 2003,2006,2009 and 2013 elections, dependant on days to elections and parties. In their site there is an extensive analysis on pollster bias towards certain parties and party blocks.

## Election Analysis

- An interactive polling analysis layout where the user can filter elections, parties, publishers and pollster, dates and create different types of plots using any variable as the x and y axis.
- The default layer is the 60 day trend (estimated with loess smoother) of mandates published by each pollster by party

The user can choose to include in the plots Elections (2003,2006,2009,2013,2015) and the subsequent filters are populated with the relevant parties, pollsters and publishers relevant to the chosen elections. Next there is a slider to choose the days before the election you want to view in the plot. This was used instead of a calendar to make a uniform timeline when comparing across elections.

In addition the plot itself is a ggplot thus the options above the graph give the user control on nearly all the options to build a plot. The user can choose from the following variables:

Time | Party | Results | Poll |
---|---|---|---|

Election | Party | Mandates | Publisher |

DaysLeft | Ideology (5 Party Blocks) | Mandate.Group | Pollster |

Date | Ideology.Group (2 Party Blocks) | Results | |

year | Attribute (Party History) | (Pollster) Error | |

month | |||

week |

To define the following plot attributes:

Plot Type | Axes | Grouping | Plot Facets |
---|---|---|---|

Point | X axis variable | Split Y by colors using a different variable | Row Facet |

Bar | Discrete/Continuous | Column Facet | |

Line | Rotation of X tick labels | ||

Step | Y axis variable | ||

Boxplot | |||

Density |

- Create Facets to display subsets of the data in different panels (two more variables to cut data) there are two type of facets to choose from
- Wrap: Wrap 1d ribbon of panels into 2d
- Grid: Layout panels in a grid (matrix)

An example of filtering pollsters to compare different tendencies for each party in the 2015 elections:

An example of comparing distribution mandates per party in the last two months of polling

An example of comparing distribution of pollster errors across elections (up to 10 days prior end of polling), by splitting the parties into five groups compared to previous election: old party,new party, combined (combination of two or more old parties), new.split (new party created from a split of a party from last election), old.split (old party that was a left from the split).

As we can see the pollster do not get a good indication of new,new.split or combined parties, which could be a problem this election since there are: 3 combined, 2 new splits.

- If you are an R user and know ggplot there is an additional editor console,below the plot, where you can create advanced plots freehand, just add to the final object from the GUI called p and the data.frame is x, eg p+geom_point(). Just notice that all aesthetics must be given they are not defined in the original ggplot() definition. It is also possible to use any library you want just add it to the top of the code, the end object must be a ggplot.

```
#new layer
p+geom_smooth(aes(x=DaysLeft,y=Mandates,fill=Party.En))+
scale_x_reverse()+scale_fill_discrete(name="Party")
```

- You can also remove the original layer if you want using the function remove_geom(ggplot_object,geom_layer), eg p=p+remove_geom(p,“point”) will remove the geom_point layer in the original graph

```
p=remove_geom(p,"point") #blank ggplot with facets in place
#new layer
p+geom_smooth(aes(x=DaysLeft,y=Mandates,fill=Party.En))+
scale_x_reverse()+scale_fill_discrete(name="Party")
```

- Finally the plots can be viewed in English or Hebrew, and can be downloaded to you local computer using the download button.

## Mandate Simulator and Coalition Whiteboard

- A bootstrap simulation is run on Polling results from up to 10 of the latest polls using the sampling error as the uncertainty of each mandate published. Taking into account mandate surplus agreements using the Hagenbach-Bischoff quota method and the mandate threshold limit (in this election it is 4 mandates), calculating the simulated final tally of mandates. The distributions are plotted per party and the location of the median published results in the media.
- The user can choose how many polls to take into account, up to last 10 polls, and how big a simulation they want to run: 50,100,500,1000 random polling results per each party and poll.

- Once the simulator is complete you can create coalitions based on either the simulated distribution or actual published polls and see who can pass 60 mandates. Choose the coalition parties and the opposition parties from dropdown lists. (Yes the ones chosen are nonsensical on purpose…)

## Polling Database

- All raw data used in the application can be viewed and filtered in a datatable.

#If x+y is constant, then x*y reaches maximum when x=y. Below is my proof:

i=100

x=1:i

y=i:1

m=x+y

n=x*y

max(n)

m=function(x,y){

if(median(x)==50.5 & median(y)==50.5) return(max(n))

else return(“x*y not at its maximum”)

}

#Check by examples

m(70,70)

m(50,50)

m(40,50)

m(median(x),median(y))

m(mean(x),mean(y))

mean(x)==median(x)

mean(y)==median(y)

median(x)==median(y)

#Some visual presentations

plot(x,n,col=c(“darkgreen”,”yellow”,”red”),lwd=2)

abline(h=max(n),col=c(“darkgreen”,”yellow”,”red”),lwd=4)

abline(v=median(x),col=c(“darkgreen”,”yellow”,”red”),lwd=2)

plot(c(n,x,n,2*x,n,3*x,n),col=c(“darkgreen”,”yellow”,”red”),lwd=2)