DemoChoice Web Poll: Cambridge, MA 2005 School Committee Election
6 candidates will be elected with 15470 ballots cast.

First Round | Next Round | Final Round | Depth | Slices | How it works | Main Page


Round 1  Votes 
------------------------------------------ 2210 1/84 (14.3%)------------------------------------------
Max
Nolan, Patricia M.     2387   (15.4%) 
GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG :GGGG
1
Fantini, Alfred B.     2281   (14.7%) 
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB :BB
1
Walser, Nancy     2004   (13.0%) 
IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII___:
1
Grassi, Joseph G.     1990   (12.9%) 
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC___:
1
Harding, Richard, Jr.     1981   (12.8%) 
DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD____:
1
Schuster, Luc     1843   (11.9%) 
HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH_______:
1
Lummis, Ben     1514   (9.8%) 
EEEEEEEEEEEEEEEEEEEEEEEEEEEEE_____________:
1
McGovern, Marc C.     1413   (9.1%) 
FFFFFFFFFFFFFFFFFFFFFFFFFFF_______________:
1
Write-In 1     54   (0.3%) 
J_________________________________________:
1
Write-In 2     2   (0.0%) 
K_________________________________________:
1
Write-In 3     1   (0.0%) 
L_________________________________________:
1
       
Results     
Fantini, Alfred B. Elected  
Nolan, Patricia M. Elected  
        
Transfers (to these colors):  
C D E F H I J K
 
Transfers (from these colors):  
BB GGG
 
       
Histograms  Surplus   New Max  Votes: Ballots  
Fantini, Alfred B. 7083/84 81/84
1: 1864
 
Nolan, Patricia M. 17683/84 77/84
1: 2142
 

Each ballot initially counts toward its highest-ranked eligible choice. However, in future rounds, a maximum fraction of a ballot may be imposed on a candidate. This allows voters for popular winners (or for eliminated losers) to help unelected candidates or candidates elected later. If there are no such candidates, the leftover fraction goes back to the first winner, or count toward "none of these" if there are no ranked winners.

The ballot fraction precision is equal to 1/Seats(Seats+1), which ensures that winners can always be kept between Enough votes to win, more than (Total Votes for Candidates)/(Seats+1), and the Ideal Number of votes, (Total Votes for Candidates)/Seats.
If all winners have at least "Enough" votes, it is impossible to elect too many candidates. This number is Ballots/(Seats+1) plus the smallest fraction.
If all winners have exactly the Ideal Number of votes, and they each have an equal voice, everyone who voted for a winner is equally represented.
The dotted line on the graph represents Enough votes.
The histogram shows how many ballots count a given fraction of a vote toward a winner. It is used to determine how much to lower the maximum. Ballots that cannot count for a lower-ranked candidate are not included in the histogram. The maximum is reduced in steps of the defined fractional precision, reducing the surplus by the number of ballots in the affected histogram bins divided by that precision. This process stops just before too many would be transferred. At this point, the affected bins are shown in red.
When only winners remain, they may reduce their maxima toward the Ideal Number.

Go to the next round































 
DemoChoice Web Poll: Cambridge, MA 2005 School Committee Election
6 candidates will be elected with 15470 ballots cast.

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page


Round 2  Votes 
------------------------------------------- 2210 1/84 (14.3%)-------------------------------------------
Max
Nolan, Patricia M.     22136/84  (14.3%) 
GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG :
77/84
Fantini, Alfred B.     222378/84  (14.4%) 
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB :
81/84
Walser, Nancy     204437/84  (13.2%) 
IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII____:
1
Grassi, Joseph G.     20377/84  (13.2%) 
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC___:
1
Harding, Richard, Jr.     199681/84  (12.9%) 
DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD_____:
1
Schuster, Luc     190873/84  (12.3%) 
HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH_______:
1
Lummis, Ben     153827/84  (9.9%) 
EEEEEEEEEEEEEEEEEEEEEEEEEEEEEE_____________:
1
McGovern, Marc C.     144975/84  (9.4%) 
FFFFFFFFFFFFFFFFFFFFFFFFFFFF_______________:
1
Write-In 1     5433/84  (0.4%) 
J__________________________________________:
1
Write-In 2     23/84  (0.0%) 
K__________________________________________:
1
Write-In 3     1   (0.0%) 
L__________________________________________:
1
       
Results     
Write-In 3 Defeated  
        
Transfers (to these colors):  
P
 
       

No elected candidates could reduce their maxima, so candidates were eliminated instead.
The last-place candidate is eliminated.
Go to the next round































 
DemoChoice Web Poll: Cambridge, MA 2005 School Committee Election
6 candidates will be elected with 15470 ballots cast.

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page


Round 3  Votes 
------------------------------------------- 2209 73/84 (14.3%)-------------------------------------------
Max
Nolan, Patricia M.     22136/84  (14.3%) 
GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG :
77/84
Fantini, Alfred B.     222378/84  (14.4%) 
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB :
81/84
Walser, Nancy     204437/84  (13.2%) 
IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII____:
1
Grassi, Joseph G.     20377/84  (13.2%) 
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC____:
1
Harding, Richard, Jr.     199681/84  (12.9%) 
DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD_____:
1
Schuster, Luc     190873/84  (12.3%) 
HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH______:
1
Lummis, Ben     153827/84  (9.9%) 
EEEEEEEEEEEEEEEEEEEEEEEEEEEEEE_____________:
1
McGovern, Marc C.     144975/84  (9.4%) 
FFFFFFFFFFFFFFFFFFFFFFFFFFFF_______________:
1
Write-In 1     5433/84  (0.4%) 
JJ_________________________________________:
1
Write-In 2     23/84  (0.0%) 
K__________________________________________:
1
None of these     1    
P__________________________________________
       
Results     
Write-In 2 Defeated  
        
Transfers (to these colors):  
B C G J
 
       

No elected candidates could reduce their maxima, so candidates were eliminated instead.
The last-place candidate is eliminated.
Go to the next round































 
DemoChoice Web Poll: Cambridge, MA 2005 School Committee Election
6 candidates will be elected with 15470 ballots cast.

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page


Round 4  Votes 
------------------------------------------ 2209 73/84 (14.3%)------------------------------------------
Max
Nolan, Patricia M.     221383/84  (14.3%) 
GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG :G
77/84
Fantini, Alfred B.     222381/84  (14.4%) 
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB :B
81/84
Walser, Nancy     204437/84  (13.2%) 
IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII___:
1
Grassi, Joseph G.     203714/84  (13.2%) 
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC__:
1
Harding, Richard, Jr.     199681/84  (12.9%) 
DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD____:
1
Schuster, Luc     190873/84  (12.3%) 
HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH_____:
1
Lummis, Ben     153827/84  (9.9%) 
EEEEEEEEEEEEEEEEEEEEEEEEEEEEEE____________:
1
McGovern, Marc C.     144975/84  (9.4%) 
FFFFFFFFFFFFFFFFFFFFFFFFFFFF______________:
1
Write-In 1     5533/84  (0.4%) 
J_________________________________________:
1
None of these     1    
P_________________________________________
       
Results     
Write-In 1 Defeated  
        
Transfers (to these colors):  
B C D F G H I P
 
       

No elected candidates could reduce their maxima, so candidates were eliminated instead.
The last-place candidate is eliminated.
Go to the next round































 
DemoChoice Web Poll: Cambridge, MA 2005 School Committee Election
6 candidates will be elected with 15470 ballots cast.

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page


Round 5  Votes 
------------------------------------------- 2204 49/84 (14.3%)-------------------------------------------
Max
Nolan, Patricia M.     221976/84  (14.4%) 
GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG :
77/84
Fantini, Alfred B.     222510/84  (14.4%) 
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB :
81/84
Walser, Nancy     204944/84  (13.3%) 
IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII___:
1
Grassi, Joseph G.     203717/84  (13.2%) 
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC____:
1
Harding, Richard, Jr.     20017/84  (13.0%) 
DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD____:
1
Schuster, Luc     190880/84  (12.4%) 
HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH______:
1
Lummis, Ben     153827/84  (10.0%) 
EEEEEEEEEEEEEEEEEEEEEEEEEEEEEE_____________:
1
McGovern, Marc C.     145175/84  (9.4%) 
FFFFFFFFFFFFFFFFFFFFFFFFFFFF_______________:
1
None of these     38    
P__________________________________________
       
Results     
McGovern, Marc C. Defeated  
        
Transfers (to these colors):  
BB C DDD EEEE GGGGG HHHH IIIIII PPP
 
       

No elected candidates could reduce their maxima, so candidates were eliminated instead.
The last-place candidate is eliminated.
Go to the next round































 
DemoChoice Web Poll: Cambridge, MA 2005 School Committee Election
6 candidates will be elected with 15470 ballots cast.

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page


Round 6  Votes 
------------------------------------------ 2180 73/84 (14.3%)------------------------------------------
Max
Nolan, Patricia M.     24696/84  (16.2%) 
GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG :GGGGGG
77/84
Fantini, Alfred B.     233726/84  (15.3%) 
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB :BBB
81/84
Walser, Nancy     234480/84  (15.4%) 
IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII :III
1
Grassi, Joseph G.     21002/84  (13.8%) 
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC_:
1
Harding, Richard, Jr.     216954/84  (14.2%) 
DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD:
1
Schuster, Luc     207510/84  (13.6%) 
HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH__:
1
Lummis, Ben     176974/84  (11.6%) 
EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE________:
1
None of these     204    
PPPP______________________________________
       
Results     
Fantini, Alfred B. Equalized  
Nolan, Patricia M. Equalized  
Walser, Nancy Elected  
        
Transfers (to these colors):  
CCC D EE HHH
 
Transfers (from these colors):  
BB GGGG II
 
       
Histograms  Surplus   New Max  Votes: Ballots  
Fantini, Alfred B. 15637/84 75/84
81/84: 1907 7/84: 102
 
Nolan, Patricia M. 28817/84 67/84
77/84: 2322 3/84: 91
 
Walser, Nancy 1647/84 77/84
1: 1887 7/84: 380 3/84: 119
 

The histogram shows how many ballots count a given fraction of a vote toward a winner. It is used to determine how much to lower the maximum. Ballots that cannot count for a lower-ranked candidate are not included in the histogram. The maximum is reduced in steps of the defined fractional precision, reducing the surplus by the number of ballots in the affected histogram bins divided by that precision. This process stops just before too many would be transferred. At this point, the affected bins are shown in red.
When only winners remain, they may reduce their maxima toward the Ideal Number.

Go to the next round































 
DemoChoice Web Poll: Cambridge, MA 2005 School Committee Election
6 candidates will be elected with 15470 ballots cast.

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page


Round 7  Votes 
------------------------------------------ 2180 73/84 (14.3%)------------------------------------------
Max
Nolan, Patricia M.     224838/84  (14.7%) 
GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG :GG
67/84
Fantini, Alfred B.     223927/84  (14.7%) 
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB :B
75/84
Walser, Nancy     226479/84  (14.8%) 
IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII :II
77/84
Grassi, Joseph G.     221049/84  (14.5%) 
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC :C
1
Harding, Richard, Jr.     22256/84  (14.6%) 
DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD :D
1
Schuster, Luc     221072/84  (14.5%) 
HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH :H
1
Lummis, Ben     186665/84  (12.2%) 
EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE______:
1
None of these     204    
PPPP______________________________________
       
Results     
Grassi, Joseph G. Elected  
Harding, Richard, Jr. Elected  
Schuster, Luc Elected  
       
Histograms  Surplus   New Max  Votes: Ballots  
Grassi, Joseph G. 2960/84 1
1: 1610 17/84: 82 9/84: 688 7/84: 100
 
Harding, Richard, Jr. 4417/84 1
1: 1581 17/84: 166 9/84: 143 7/84: 146
 
Schuster, Luc 2983/84 1
1: 1702 17/84: 715 9/84: 52 7/84: 186
 

The histogram shows how many ballots count a given fraction of a vote toward a winner. It is used to determine how much to lower the maximum. Ballots that cannot count for a lower-ranked candidate are not included in the histogram. The maximum is reduced in steps of the defined fractional precision, reducing the surplus by the number of ballots in the affected histogram bins divided by that precision. This process stops just before too many would be transferred. At this point, the affected bins are shown in red.
When only winners remain, they may reduce their maxima toward the Ideal Number.

There is a newly elected candidate whose maximum could not be reduced. The surplus is lower than the number of ballots in the first histogram bin (the ballots counting the largest fraction toward the candidate) times the smallest fraction, so they cannot all transfer that fraction without exceeding the surplus.
Go to the next round































 
DemoChoice Web Poll: Cambridge, MA 2005 School Committee Election
6 candidates will be elected with 15470 ballots cast.

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page


Round 8  Votes 
------------------------------------------ 2180 73/84 (14.3%)------------------------------------------
Max
Nolan, Patricia M.     224838/84  (14.7%) 
GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG :G
67/84
Fantini, Alfred B.     223927/84  (14.7%) 
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB :B
75/84
Walser, Nancy     226479/84  (14.8%) 
IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII :II
77/84
Grassi, Joseph G.     221049/84  (14.5%) 
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC :C
1
Harding, Richard, Jr.     22256/84  (14.6%) 
DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD :D
1
Schuster, Luc     221072/84  (14.5%) 
HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH :
1
Lummis, Ben     186665/84  (12.2%) 
EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE______:
1
None of these     204    
PPPP______________________________________
       
Results     
Lummis, Ben Defeated  
        
Transfers (to these colors):  
BB CC DDDDD GGGGGG HHHHHH IIIIIIIIIIII PPPPP
 
       

No elected candidates could reduce their maxima, so candidates were eliminated instead.
The last-place candidate is eliminated.
Go to the next round































 
DemoChoice Web Poll: Cambridge, MA 2005 School Committee Election
6 candidates will be elected with 15470 ballots cast.

First Round | Next Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page


Round 9  Votes 
------------------------------------------------- 2505 70/84 (16.7%)-------------------------------------------------
Max
Nolan, Patricia M.     25571/84  (17.0%) 
GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG :G
67/84
Fantini, Alfred B.     236336/84  (15.7%) 
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB___:
75/84
Walser, Nancy     285536/84  (19.0%) 
IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII :IIIIII
77/84
Grassi, Joseph G.     229741/84  (15.3%) 
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC_____:
1
Harding, Richard, Jr.     247337/84  (16.5%) 
DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD_:
1
Schuster, Luc     248817/84  (16.5%) 
HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH_:
1
None of these     435    
PPPPPPPPP________________________________________
       
Results     
Nolan, Patricia M. Equalized  
Walser, Nancy Equalized  
Harding, Richard, Jr. Equalized  
Schuster, Luc Equalized  
        
Transfers (to these colors):  
BBB CC D H
 
Transfers (from these colors):  
G IIIIIII
 
       
Histograms  Surplus   New Max  Votes: Ballots  
Nolan, Patricia M. 5115/84 55/84
67/84: 2472 9/84: 99 7/84: 434
 
Walser, Nancy 34950/84 54/84
77/84: 2105 17/84: 436 9/84: 158
 
Harding, Richard, Jr.    77/84
1: 1709 20/84: 232 18/84: 214 9/84: 157
 
Schuster, Luc    72/84
1: 1795 20/84: 241 18/84: 756 9/84: 62
 

The histogram shows how many ballots count a given fraction of a vote toward a winner. It is used to determine how much to lower the maximum. Ballots that cannot count for a lower-ranked candidate are not included in the histogram. The maximum is reduced in steps of the defined fractional precision, reducing the surplus by the number of ballots in the affected histogram bins divided by that precision. This process stops just before too many would be transferred. At this point, the affected bins are shown in red.
When only winners remain, they may reduce their maxima toward the Ideal Number.

Only winners remain, so the dotted line is raised to the Ideal Number.
Go to the next round































  
DemoChoice Web Poll: Cambridge, MA 2005 School Committee Election
6 candidates will be elected with 15470 ballots cast.

First Round | Final Round | Previous Round | Depth | Slices | How it works | Main Page


Round 10  Votes 
------------------------------------------------ 2505 70/84 (16.7%)------------------------------------------------
Max
Nolan, Patricia M.     253348/84  (16.9%) 
GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG :G
55/84
Fantini, Alfred B.     252417/84  (16.8%) 
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB :B
75/84
Walser, Nancy     25077/84  (16.7%) 
IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII :
54/84
Grassi, Joseph G.     242845/84  (16.2%) 
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC_:
1
Harding, Richard, Jr.     25225/84  (16.8%) 
DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD :D
77/84
Schuster, Luc     251946/84  (16.8%) 
HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH :H
72/84
None of these     435    
PPPPPPPPP_______________________________________
       
Results       
Fantini, Alfred B.Elected  
Grassi, Joseph G.Elected  
Harding, Richard, Jr.Elected  
Nolan, Patricia M.Elected  
Schuster, LucElected  
Walser, NancyElected  
       

No further maximum reductions are allowed, so the count is complete. All winners should be near the Ideal Number of votes. Usually most ballots count toward their highest-ranked winner. Some count for two winners, but rarely more than that. See the slice report. The depth report shows the contribution of lower choices to the result. The "none of these" pile is an accurate measure of unsatisfied voters.































 
DemoChoice Web Poll: Cambridge, MA 2005 School Committee Election
6 candidates will be elected with 15470 ballots cast.

First Round | Final Round | Depth | Slices | How it works | Main Page


Ballot Depth: This shows how much the lower rankings on ballots contributed to the winning candidates.

Rank Fraction of votes for winners
1st 71.4% 
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
2nd 20.5% 
XXXXXXXXXXXXXXXX
3rd 6.6% 
XXXXX
4th 1.5% 
X






























   
DemoChoice Web Poll: Cambridge, MA 2005 School Committee Election
6 candidates will be elected with 15470 ballots cast.

First Round | Final Round | Depth | Slices | How it works | Main Page


Slices: This shows the distribution of how many winners a ballot counted for.

Slices Percentage of ballots with that many slices
33.2% 
XXXXXXXXXXXXXXXXXXXXXXXXXXXX
66.8% 
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX