(Yes, the title references both
The Walking Dead and
Miles Naismith Vorkosigan.)
One of the recurring themes from the on-going
Hugo kerfuffle is
a sense of unfairness. Among the charges:
a) There was a pre-existing bias against conservatives &
libertarians (1) among the small (2) subsection of SFF Fandom (3) who
nominate and vote for the Hugos. The
most vocal people expressing this pov are called by those who oppose them “SJW”
– social justice warriors. (It is not
meant as a compliment.)
b) That there was a countering bias against women, non-Caucasians,
and non-heterosexuals in terms of characters, authors, and fans.(Sometimes this
is expressed in terms of matching the general issues of American society, other
times it is described as unique to
SFF fandom/ SFF creators.) The most vocal
people expressing this pov are called by those who oppose them “
fascist racist sexists homophobes”. (4)(Also not a compliment.) (They have employed the term "
racist" against a Caucasian man in a twenty-year old marriage with an African-American woman, to which I can only say
damn, that's dedication to the Cause.)
c) There was an active on-going cabal of influential people
who habitually manipulated some if not all of the nominations in order to steer
the finalist lists to include selected works and people. (5)
d) That Sad Puppies/Rabid Puppies (SP/RP) (6) unfairly
stacked the deck against all other parts of fandom in order to get a selected
group of writers
on the finalist list.
Noses are so far bent out of joint that it’s a wonder any of us can see straight.
Among many people who consider themselves defending the
Hugos and SFF / SFF Fandom against the sorts of people and thoughts exemplified
by the SP/RP, there has been an oft-repeated sense that
The Hugos Were Fine Why Did You Have To Break Them? As evidence for how
The Hugos Were Fine, quotes like
this one from Rcade are common:
“ What makes me bitter is the strategy of bloc voting, because it made it impossible for nominations I made as an individual in good faith to appear on the ballot. Out of 80 slots on the ballot, my nominations appear 0 times. That’s never happened before. Normally I see around 2-6.”
This is given as part of the justification for charges such
as that put forth by such otherwise temperate and polite people as Connie
Willis that the SP/RP were outright “
cheating” and “
ballot stuffing.” (7)
The purpose of this post is to demonstrate that such an
assumption is inaccurate and – instead of being proof of cheating – is instead
evidence in support of an insular common opinion amongst the historical voters
for the Hugos.
***
As we’re talking about cheating, let’s talk cards.
Consider a deck of common playing cards. Take out the jokers
and the extra cards with the name of the card manufacturer on them, and you are
left with 52 cards. Four suites –
hearts, clubs, spades, diamonds (9) – of 13 cards – ace, 2-10, jack, queen,
king. For the purposes of this example, face cards are ace, jack, queen, king.
(
And that makes four, oh best beloved.)
So. We have 52 cards,
and we want to know, what are the best two cards?
Differentiation depends on, well, differences. If there are no differences, then what appear to be varying levels of support are no more than random chance.
If all the cards are indistinguishable from each other in
value of Bestness, and if we ask a large enough group (say, a bazillion
gazillion) (8) of people, we would end up with 1326 different unique combinations
of 2 cards from that group. That number –
1326 – is calculated using a mathematical formula called the factorial –
generally written like so: factorial of (n) = n! The factorial of a number
is equal to that number times all the whole numbers smaller than it. Thus:
5! = 5*4*3*2*1 = 120
4! = 4*3*2*1 = 24
3! = 3*2*1 = 6
And so on.
In our example we talk about “sets of two” – this is the
smaller grouping drawn from a larger grouping.
The size of this set is k, so
that k =2 if we mean, sets of two, or
k = 3 if we mean, sets of three. For
every value of n and k, we can determine how many unique sets
of size k are in that group numbering
n, using the factorial formula.
The formula for determining the number of unique sets is:
N!
_____
K! (N-k)!
So for a group of size n,
choosing smaller groups of equal size k,
we can calculate how many unique groups of size k there are in a group of size n.
If we also want to know how many groups of size k we find that include any one item, we
imagine we have a group of size (n-1),
pick our groups of size k from them,
and then subtract. The remainder is the
number of unique small groups that were made up of ONLY the items not included
in the second , smaller group.
In our set of 52 cards, there 1326 unique sets of two cards. If everyone’s opinion of the “Bestness” of
cards was equal, we would find that each of these 1326 sets would have an equal
representation in our poll, and that there would not be any one pair – either the 2 of clubs and the 10 of spades, or the ace of diamonds and the queen of hearts, nor any other pair – would be determined to be
best by a greater number of people than any others. (Such is the power of large sample groups, to
which all stats nerds burn incense daily.)
If I, as High Queen of the Universe, were to anoint two cards
of my choosing from the deck of 52 and declare them to be The Best, no matter
what two cards I picked, 92.4% of the people expressing an opinion on the cards
would be unhappy, for neither of their cards would match the two I had
picked. The other 7.6% would be
moderately pleased, as one of their cards would match one of mine, and 1/326 th
of the people would be very pleased, as my choice would exactly match theirs.
But wait, one says – this is a stupid example, because everyone
knows that not all cards are alike! Face
cards are clearly More Best than the
rest, and so any example that ignored this difference is clearly useless.
Fine. Let’s run the
numbers for ‘two picked from 12 face cards’ – and we come up with 66 unique
sets. Everyone of the bazillion gazillion sorts themselves along those lines –
again, giving equal weight to any of the face cards – into 66 groups. I as High
Queen of the Universe again pick The Best – and this time, there are 31.8% of
the people who are moderately pleased, 68.2% who think I clearly suck as a
universal monarch, and 1/66 of the people who think my opinions (at least in
cards) are perfect.
However, for the people who didn’t share the opinion that
face cards are CLEARLY More Best, my disapproval rate is much higher: only
1.58% of the people who were selecting from the whole deck had EITHER of their
two cards match EITHER of mine.
With me so far? Good.
If you do the math out, you see that if one is picking sets from
larger decks, the numbers get crazy large crazy fast. More sets, larger decks, and the number of people
who think it is clearly time to pick another universal hereditary ruler start to equal
EVERYONE.
But what the heck does this have to do with picking Hugos?
Firstly, consider that instead of a deck of 52, we have a
deck of “all the novels published that year.”
And we have everyone vote on what they think the best five are….wait.
No, we already decided that there are cards which are
clearly better than others. Face cards,
in our deck.
And for the Hugos we have…oh,
every one of the novels nominated during the nomination round. There.
We’ve narrowed the pool of “best SFF novel” from the
tens of thousands published that year to…around
400 (it was 2
30 novels in 2005, and last year at
LonCon it was 648. We’ll use 400 because I’m High Queen of the
Universe.) At any rate,
tens of thousands down to
400 is sorta like 52 to 12, except that
it’s several orders of magnitude in difference, and so it’s not really the
same.
At All, because 52 to 12 doesn’t
even come close to approximating the degree in change from
tens of thousands to
400.
And as it turns out, my version of MS EXCEL crashes when I
go over 170 for my n. So we can’t even use that. Let’s use 160. (See: High
Queen of the Universe.)
If we pick sets of 5 cards from a deck of 52, that there are
2.598960 MILLION different
combinations of sets of 5. For [our 'face cards set' (slight edit)] 160, it’s
98,446,083,840. Yes, that’s
98 BILLON. And change. When the High Queen
of the Universe comes down and anoints The Five Best Cards, out of those 160, 14.85% of the
people see that at least ONE of their cards matches at least ONE of The Five
Best. (Remember, in our last example, we
were talking sets of two. Now we have sets
of 5. That changes the math.)
(Also? “One out of five” is a lower standard of
happy than “one out of two” – or at
least I think so. See: High Queen of the Universe)
And remember, we’re just talking the people who picked face
cards. The people who were picking from
the larger set of the whole deck/all the books published that year, they’re
much less happy. (And I can not do that math because, again, when n > 170, Excel = miserable.)
So. That’s how it is when
we look at picking the five best novels from the 160 face card/clearly best
novels that year. 15% of the people have
gotten at least one of their novels selected.
The rest are unhappy, and collecting pitchforks.
But it gets worse.
What if instead of picking from all the face card novels, I only
picked from diamond suite novels? If instead of picking from 160, what if I had
narrowed my selections down to only those which were the ace, jack, queen and
king of diamonds, so now I (as High Queen of the Universe) was selecting from 40
novels, while everyone else was selecting from all the face cards (160 novels)
or (even worse) all the novels selected (tens of thousands.)
In that case, there are 658,008 sets of 5, from the 40 diamond
face cards. (Note the change from the 2.5 million sets of 5 from 52 cards. Numbers don’t change geometrically here.) Now,
50% of those whose tastes also ran to just
diamond face cards have at least one of
five selections equal to one (or more) of mine. Of
those still picking from all the face cards, it’s less than one in a hundred. In fact, it’s a lot less – it’s 4 in ten
thousand.
For those picking from the wider pool of all the deck of published
cards? Doesn’t even register.
And remember that I’m talking about out of 160 novels. It’s been a very long time since we had only 160 novels that someone thought was Hugo worthy.
So when a fan says Up until
now, I generally agreed with the Hugo nominations…it means, I think, that
their tastes agree with the tastes of the Queen of the Universe. Or the average of the Hugo nomination voters,
who – at less than 1K – are numerically indistinguishable from a single Queen
of the Universe, when looked at on that scale.
When SP/RP say, Up until now,
most of what I liked never made it to the Hugos…well, it *might* mean that
they had a fancy for cards numbering 2-10.
But it could also mean that they liked face cards of suites other than
diamonds.
If we were to imagine SFF as a deck of cards(note: Examples not
chosen with any intent in mind) – with Literary SFF as diamonds, and
MilSF&Space Opera as clubs, and Humor as hearts, and, oh,
Movies&TV&Tieins as spades…well, it would easy enough to see that even
if one really liked the most excellent work in clubs AND hearts, if the High
Queen of the Universe (or the Hugo voters) were only picking from the 40 items
in diamond face cards…well, you’d be SOOL(link). And the High Queen of the Universe would be aghast at suggestions of bias, because
She was selecting evenly from the 40
items in diamond face cards- and what could be wrong with that?
Likewise, if one were to imagine a revolt by people who liked just
spades, who all gathered together to sacrifice fluffy kittens and blend puppies
so that a pleasing aroma rose unto the sky, and the High Queen deigned to
select from the spades face cards instead of diamonds…that would look very much like a betrayal to
those who liked diamonds. (We are ignoring those who have objections to animal
sacrifice of any sort, because they are obviously in league with the Elder
Ones.)
To sum up, because it is too much to explain: the SFF field is
huge. The number of Hugo voters is
small. We need to fix this.
Notes:
(1) These two things are not the same.
(2) No matter how one slices it, WSFS members, WorldCon
attendees, and Hugo voters are a very
very
small fraction of the total number of people who read, watch, write, draw, or
play science fiction and fantasy. Annual
nominating membership was under 1,000 people for
decades. It’s only in the last five years that it has
hit 2 thousand.
Attending membership was under 10,000. In comparison,
Dragon*Con - held the same weekend - was 40,000 in 2010, and is projected to exceed 60,000 in 2015.
(3) SFF Fandom: that portion of the global human populations
who read, watch, write, draw, or play science fiction and fantasy. At the very minimum, we’re talking 100,000
people – assuming we limit the number to those who can read or speak English. This group HEAVILY overlaps with, but does
not equal, those people who are SFF creators – writers, artists, directors,
editors, etc. (In much the same way,
SFWA membership heavily overlaps with, but does not equal, “people who have
published something in SFF in the last five years.”
(4) The author of this particular article is Kameron Hurely, two-time winner of the Hugo award, short listed by Chaos Horizon last November as an
strong contender for a Hugo this year for her novel
The Mirror Empire. Yet somehow neither the author nor the editor saw fit to mention this conflict of interest. I suppose in a world where
The Rolling Stone exists this is to be considered of no great note.
(5)
While the actions and words of a couple of editors associated with Tor had done a great deal to avoid disproving this perspective, it is my opinion that the fault lies most with a narrow pov on the part of Hugo voters, each of whom is voting their individual preferences, with perhaps some minor influence by those who are attempting to push specific works or authors. More specifically – we can’t get rid of people’s individual preferences and likes, but we can avoid choosing from people who only like
one sort of things.
(6)
Sad Puppies here.
Rabid Puppies here. These are two different groups who share some
overlapping goals. In combining them, I
am unfortunately continuing the disastrously inaccurate lumping together of
goals, membership, motivation, and nominated works that has characterized the “
trufan”
response to the whole mess. For the
purpose of this discussion, I think the shorthand is accurate enough to
continue, although I may come to regret saying that.
(6.1) I
am not Vox Day, either. If you have a question about, or an issue
with, something VD has said,
go take it up with him. If you have a question about, or an issue
with, something I have said, I am willing to discuss that. For the purposes of this post, the only
opinion that VD and I share which is relevant is that
the current Hugo process
is broken.
(7) Urging other fans – who then purchase their own memberships to WorldCon, and then vote their own ballot - to support particular authors or works has been widely acknowledged as “within the rules.” There are those who disagree and/or who hold that having recommended 5 works on a five opening ballot constitutes undue influence. Complicating this judgement is Vox Day’s verbage regarding the Rabid Puppy slate: “Those who trust my judgement will vote the slate exactly as it appears.” Be that as it may, the range of votes even across Puppy dominated categories does not support the charge of
lock-step voting. (
Obligatory link to herding cats video.)
(8)In the most practical terms, one needs 40 “normal average”
individuals to achieve a measurable range of values for any test (like blood
pressure or lung volume) and that sample sizes of 100 individuals per data
point is sufficient to get a good random distribution, but there are different
schools of thought on this.
(9) Assuming traditional French suites, not the German.
Comments and critique of all sorts welcomed! Please leave a note or drop an email - excel spreadsheets available on demand.