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For Parties or Candidates - how do people vote?

The electronic results from the constituencies of Dublin North, Dublin West and Meath are available on the internet:- Dublin results and Meath results. It is not possible to verify that these results are correct, but the fact that the system was only used on a small fraction of the constituencies means that one can compare the results against the verifiable elections held in the other constituencies. Unfortunately, the government is now planning to use an electronic system nationally for the European and local elections in June. Not only will these elections use new software, the government will not be given access to the source code until 4 months after the election. A foreign corporation is being given complete power to control our elections and to determine the results.

If one assumes that these results are accurate (given that they are similar to the results in the other constituencies), then it is possible to answer the question:- How many people vote for parties?
Taking Fianna Fáil and Fine Gael in Meath as an example. Both parties ran 3 candidates in Meath.
If everyone who gave their first preference to Fianna Fail and Fine Gael were committed party supporters, they would have given their 2nd and 3rd preferences to the other candidates of the same party. In other words, the average preference for their party candidates would be 2.5.
Similarly, if people voted for candidates and gave no consideration to party affiliation, then the average preference for their party candidates would be 8 (there were 14 candidates in the constituency, so 8 is the average of perferences 2 .. 14)

The tables below show the average preferences for those gave their first preference to each candidate. For example, 7294 people gave their first preference to Trevor Sargent in Dublin North. If one averages the subsequent preferences for each candidate, one finds that the next preferences of Trevor Sargent's supporters was Sean Ryan, with an average preference of 5.12, followed by Nora Owen with an average preference of 6.00. Where voters did not fully complete the ballot, the remaining candidates were given the average of the remaining preferences. For example, there were 12 candidates in Dublin North. If a voter only used preferences 1 to 10, the remaining 2 candidates were given a preference of 11.5

The formula for party support is
p=Party Support
c=Total Candidates
k=Party Candidates

(sum(k)-1)p+(k-1)/2(1-p)=X, where X is the value from the electronic results.

Take the 3 Fianna Fail candidates
Candidate     FPV  FF1  FF2  AVG
Brady        8493 3.97 4.75 4.36  
Dempsey     11534 4.45 4.86 4.655 
Wallace      8759 4.13 5.19 4.66  
Overall average preference for party candidates: 4.569484819

2.5p+(1-p)8=4.569484819
  2.5p+8-8p=4.569484819
  2.5p+8-8p=4.569484819
    -5.5p+8=4.569484819
      -5.5p=-3.430515181
          p=0.623730033

For Fine Gael, the figures are as follows:=
Candidate    FPV  FG1  FG2   AVG
Bruton      7617 4.24 5.11 4.675
English     5958 4.85 6.18 5.515
Farrelly    3877 4.31 4.86 4.585
Overall average preference for party candidates: 4.941776874

2.5p+(1-p)8=4.941776874
  2.5p+8-8p=4.941776874
  2.5p+8-8p=4.941776874
    -5.5p+8=4.941776874
      -5.5p=-3.058223126
          p=0.556040568
The result of these calculations:= 62.37% of FF votes are "party" votes - the remainder are "candidate" votes. For FG, the figure for "party" votes is 55.6%. Given that approximately 40% of party voters are voting for a candidate rather than a party, and that 9.5% gave their first preference to independents at the last election, it appears that there is a 50-50 split between those who vote for parties and those who vote for candidates.



Dublin North preferences
Boland
Cathal
(F.G.)
1177
Daly
Clare
(S.P.)
5501
Davis
Mick
(S.F.)
1350
Glennon
Jim
(F.F.)
5892
Goulding
Ciaran
(Non-P)
914
Kennedy
Michael
(F.F.)
5253
Owen
Nora
(F.G.)
4012
Quinn
Eamonn
(Non-P)
285
Ryan
Seán
(Lab)
6359
Sargent
Trevor
(G.P.)
7294
Walshe
DavidHenry
(C.C.CSP)
247
Wright
G.V.
(F.F.)
5658
1.00
Boland
1.00
Daly
1.00
Davis
1.00
Glennon
1.00
Goulding
1.00
Kennedy
1.00
Owen
1.00
Quinn
1.00
Ryan
1.00
Sargent
1.00
Walshe
1.00
Wright
4.33
Owen
4.95
Sargent
5.31
Daly
4.48
Kennedy
4.75
Sargent
4.23
Wright
4.44
Boland
5.26
Sargent
4.43
Sargent
5.12
Ryan
5.84
Kennedy
3.84
Kennedy
5.37
Sargent
5.28
Ryan
5.43
Sargent
4.72
Wright
5.90
Ryan
4.42
Glennon
4.47
Sargent
6.14
Ryan
5.67
Daly
6.00
Owen
5.88
Sargent
4.27
Glennon
5.60
Ryan
7.05
Davis
6.47
Ryan
5.92
Sargent
6.21
Daly
6.32
Sargent
4.93
Ryan
6.38
Daly
6.20
Owen
6.04
Daly
6.14
Glennon
6.41
Sargent
6.93
Glennon
7.06
Kennedy
6.99
Kennedy
6.47
Ryan
6.49
Owen
6.57
Ryan
7.06
Daly
6.44
Goulding
6.95
Boland
6.85
Glennon
6.41
Wright
7.00
Ryan
7.20
Daly
7.12
Goulding
7.02
Glennon
7.32
Daly
7.10
Glennon
6.93
Daly
7.57
Wright
7.16
Owen
7.16
Glennon
6.94
Boland
6.67
Goulding
7.12
Owen
7.41
Kennedy
7.26
Owen
7.05
Wright
7.50
Owen
7.39
Kennedy
7.53
Owen
7.74
Glennon
7.17
Glennon
7.20
Kennedy
7.20
Goulding
6.92
Ryan
7.37
Daly
7.59
Wright
7.36
Wright
7.10
Goulding
7.63
Boland
7.53
Boland
7.96
Boland
7.77
Kennedy
7.51
Davis
7.34
Wright
7.25
Wright
7.56
Owen
7.89
Boland
7.75
Goulding
7.37
Glennon
7.53
Quinn
8.02
Goulding
7.57
Wright
8.08
Davis
7.79
Goulding
7.60
Boland
7.43
Goulding
7.27
Kennedy
7.76
Daly
8.11
Davis
8.16
Quinn
7.72
Quinn
7.98
Owen
8.18
Davis
7.70
Quinn
8.20
Goulding
8.29
Quinn
7.65
Wright
8.04
Davis
7.93
Quinn
7.81
Quinn
8.21
Goulding
8.32
Walshe
7.74
Boland
8.04
Walshe
8.28
Quinn
8.09
Davis
8.36
Quinn
8.36
Walshe
7.68
Kennedy
8.16
Quinn
8.09
Davis
7.92
Boland
8.33
Quinn
8.34
Davis
8.10
Walshe
8.08
Boland
8.48
Walshe
8.28
Walshe
8.39
Walshe
8.57
Davis
7.99
Walshe
8.43
Walshe
8.31
Walshe
8.09
Davis
8.43
Walshe


Dublin West preferences
Bonnie
Robert
(G.P.)
748
Burton
Joan
(Lab)
3810
DohertyRyan
Deirdre
(F.F.)
2300
Higgins
Joe
(S.P.)
6442
Lenihan
Brian
(F.F.)
8086
McDonald
MaryLou
(S.F.)
2404
Morrissey
Tom
(P.D.)
2370
Smyth
JohnThomas
(C.C.CSP)
134
Terry
Sheila
(F.G.)
3694
1.00
Bonnie
1.00
Burton
1.00
DohertyRyan
1.00
Higgins
1.00
Lenihan
1.00
McDonald
1.00
Morrissey
1.00
Smyth
1.00
Terry
4.31
Burton
4.31
Terry
3.26
Lenihan
4.43
Burton
3.55
DohertyRyan
4.11
Higgins
4.26
Lenihan
5.12
Lenihan
3.68
Burton
4.55
Higgins
4.32
Higgins
5.16
Morrissey
5.05
McDonald
4.85
Morrissey
5.26
Bonnie
4.51
Terry
5.16
Bonnie
4.64
Morrissey
5.37
Terry
5.23
Morrissey
5.35
Burton
5.23
Lenihan
5.26
Burton
5.28
Burton
4.68
Burton
5.18
Higgins
5.17
Higgins
5.38
Morrissey
5.35
Bonnie
5.52
Higgins
5.45
Terry
5.43
Higgins
5.35
Lenihan
5.34
DohertyRyan
5.24
Terry
5.39
Lenihan
5.83
Lenihan
5.44
Lenihan
5.81
Terry
5.46
Bonnie
5.54
Terry
5.57
DohertyRyan
5.69
Higgins
5.57
Morrissey
5.67
Bonnie
5.94
McDonald
6.20
DohertyRyan
6.05
McDonald
5.79
Morrissey
6.21
McDonald
5.99
Terry
5.89
Bonnie
5.68
DohertyRyan
6.20
DohertyRyan
6.00
DohertyRyan
6.25
McDonald
6.10
Bonnie
5.91
DohertyRyan
6.31
Bonnie
6.05
Morrissey
6.67
McDonald
6.02
Burton
6.52
McDonald
6.61
Smyth
6.90
Smyth
6.74
Smyth
6.68
Smyth
6.85
Smyth
6.40
Smyth
6.96
Smyth
6.03
McDonald
6.74
Smyth


Meath preferences
Brady
Johnny
(F.F.)
8493
Bruton
John
(F.G.)
7617
Colwell
Jane
(Non-P)
263
Dempsey
Noel
(F.F.)
11534
English
Damien
(F.G.)
5958
Farrelly
JohnV
(F.G.)
3877
Fitzgerald
Brian
(Non-P)
3722
Kelly
Tom
(Non-P)
1373
O'Brien
Pat
(Non-P)
1199
O'Byrne
Fergal
(G.P.)
2337
Redmond
Michael
(C.C.CSP)
180
Reilly
Joe
(S.F.)
6042
Wallace
Mary
(F.F.)
8759
Ward
Peter
(Lab)
2727
1.00
Brady
1.00
Bruton
1.00
Colwell
1.00
Dempsey
1.00
English
1.00
Farrelly
1.00
Fitzgerald
1.00
Kelly
1.00
O'Brien
1.00
O'Byrne
1.00
Redmond
1.00
Reilly
1.00
Wallace
1.00
Ward
3.97
Dempsey
4.24
English
6.90
English
4.45
Wallace
4.85
Bruton
4.31
Bruton
6.02
Bruton
6.75
Wallace
6.89
O'Byrne
6.37
Ward
6.92
Bruton
6.95
Dempsey
4.13
Dempsey
6.11
English
4.75
Wallace
5.11
Farrelly
7.08
O'Byrne
4.86
Brady
6.18
Farrelly
4.86
English
7.01
Wallace
6.87
Bruton
7.00
Bruton
6.91
Bruton
7.31
Wallace
7.45
Brady
5.19
Brady
6.38
Bruton
7.81
Farrelly
7.25
Ward
7.46
Fitzgerald
7.54
Bruton
6.95
Ward
7.52
Ward
7.23
English
7.48
O'Brien
7.31
Wallace
6.94
English
7.69
English
7.49
English
7.58
Bruton
6.40
O'Byrne
7.90
Reilly
7.71
Fitzgerald
7.60
Reilly
7.80
English
7.82
Dempsey
7.67
Brady
7.28
Ward
7.52
English
7.34
Kelly
7.56
Fitzgerald
7.69
Dempsey
7.54
O'Byrne
7.87
Fitzgerald
7.21
Fitzgerald
7.96
English
8.08
O'Byrne
7.66
O'Brien
8.17
Reilly
7.85
Fitzgerald
8.34
Fitzgerald
7.34
Dempsey
7.61
O'Byrne
7.63
Fitzgerald
7.82
Wallace
7.81
Brady
7.55
Ward
8.33
English
7.66
Farrelly
8.35
Bruton
8.21
Dempsey
7.95
Ward
8.27
Fitzgerald
8.05
O'Byrne
8.40
Dempsey
8.03
O'Byrne
7.63
Ward
7.70
English
7.89
O'Brien
7.84
O'Byrne
7.66
Wallace
8.38
O'Byrne
8.15
Dempsey
8.72
Fitzgerald
8.24
Wallace
8.05
Brady
8.35
Ward
8.32
Reilly
8.55
Reilly
8.24
Farrelly
7.69
Dempsey
7.82
Ward
8.20
Dempsey
7.84
Fitzgerald
7.90
Fitzgerald
8.49
Ward
8.31
Reilly
8.72
Ward
8.84
Kelly
8.06
Bruton
8.63
O'Byrne
8.42
Brady
8.61
O'Byrne
8.37
Reilly
7.98
Fitzgerald
8.11
Reilly
8.33
Farrelly
7.84
O'Brien
7.95
Bruton
8.65
Reilly
8.55
Wallace
8.84
O'Byrne
8.99
O'Brien
8.25
Dempsey
8.73
Farrelly
8.45
Wallace
8.73
Wallace
8.51
Brady
8.24
Farrelly
8.34
Farrelly
8.35
Kelly
8.24
Kelly
8.46
O'Brien
8.71
Kelly
8.67
Kelly
9.16
Kelly
9.03
Reilly
8.40
Kelly
9.08
Kelly
8.99
O'Brien
9.01
Kelly
8.58
O'Brien
8.64
Reilly
8.50
Dempsey
8.40
Reilly
8.49
Colwell
8.49
Farrelly
8.91
Farrelly
8.70
O'Brien
9.19
O'Brien
9.08
Brady
8.43
Farrelly
9.20
O'Brien
9.06
Kelly
9.15
O'Brien
8.67
Kelly
8.71
Brady
8.65
Brady
8.79
Colwell
8.64
Farrelly
8.53
Kelly
8.91
O'Brien
8.96
Brady
9.24
Colwell
9.56
Colwell
8.54
Wallace
9.41
Colwell
9.42
Colwell
9.34
Colwell
9.22
Colwell
9.31
Colwell
9.18
Colwell
8.83
Brady
8.74
Reilly
8.88
Colwell
9.38
Colwell
9.16
Colwell
9.38
Redmond
9.64
Redmond
9.61
Redmond
9.50
Redmond
9.63
Redmond
9.51
Redmond
9.49
Redmond
9.58
Redmond
9.54
Redmond
9.62
Redmond
8.94
Ward
9.15
Redmond
9.49
Redmond
9.74
Redmond
© Ciaran Quinn, Dublin - last updated on 1st February 2004