Handicapping the
Kentucky Derby
By David E. Schwartz
You are sitting in an airport bar,
impatiently waiting for your flight to Louisville. You strike up a
conversation with the guy sitting next to you. He says that he loves
the Kentucky Derby. Never misses it. Watches it every year. On
television.
You decide that you might have a
pigeon ready to be plucked.
You say, "I’ll bet you an
evening of drinks that you can’t name two horses that have won the
Kentucky Derby by more than two lengths."
Our pigeon begins thinking. You
can just smell the smoke. You know that he got Secretariat right away.
Everybody knows that one. Click! He has it! He’s sure he’s
got you. "You’ve got a bet he says."
He starts by proudly announcing,
"Secretariat," and waits for your pain to begin. You smile.
He continues, explaining about all
the different possibilities he had considered, and that he finally
settled upon Real Quiet as his second selection because he was sure
you would remember him. Now he smiles big.
You say, "You lose." He
asks, "Why?" That is when you explain that no
"horse" as ever won the Kentucky Derby because the races isn’t
for "horses." It is for "three-year old colts,
geldings, and fillies."
Okay, so while your wheels are
turning around who your own personal pigeon for this trap is going to
be, let’s get on with the real story.
Although we not typically taken
the Kentucky Derby too seriously from a profit standpoint, we find
that our annual analysis is generally right on the money.
As with any analysis, we have to
start with some races. We decided to use all races from our database
which fit the following criterion:
1. three-year old males only
2. dirt
3. distance of 1 3/16 to 1 1/4 miles
4. January through September
5. Handicaps and Graded Stakes
6. Purse value of $100,000 or more
Our search produced 25 such races,
including the last 7 Kentucky Derbies. The results are very
enlightening, to say the least.
The
Tote Board
The tote board tells much of the
tale at the Derby. First, let’s look at how the different public
choices rank:
| Public
Choice Rank |
|
|
|
|
|
|
|
Starts |
Pays |
Pct |
$Net |
IV |
PIV |
AvPay |
AvOdds |
| 1 |
28 |
6 |
21% |
$1.04 |
2.09 |
0.70 |
$4.85 |
1.71 |
| 2 |
29 |
10 |
34% |
$3.08 |
3.19 |
1.77 |
$8.93 |
3.26 |
| 3 |
23 |
3 |
13% |
$1.19 |
1.34 |
0.88 |
$9.13 |
4.60 |
| 4 |
25 |
|
|
|
|
|
|
7.05 |
| 5 |
24 |
4 |
17% |
$3.05 |
1.57 |
2.25 |
$18.30 |
10.22 |
| 6 |
29 |
|
|
|
|
|
|
15.29 |
| 7 |
16 |
|
|
|
|
|
|
19.24 |
| 8 |
29 |
|
|
|
|
|
|
17.18 |
| 9 |
68 |
2 |
3% |
$1.70 |
0.45 |
0.95 |
$57.80 |
25.88 |
|
271 |
25 |
9% |
$9.20 |
|
|
$13.32 |
7.17 |
Before going on, let’s make sure
everyone understands our column labels:
Starts - Number of horses with this characteristic
Pays - Number of winning horses
Pct - Win percentage
$Net - Return for each $2.00 wagered
IV - Impact Value (wins / expected wins)
PIV - Pool Impact Value (wins / pool expectation)
AvPay - Average Payoff
Av Odds - Average Odds of all starters
The fact that the favorites in
this type of race have not done well, should come as no surprise. But
notice that the second choices have more than taken up the slack.
The critical point here is that a
whopping 23 of the 25 races were won by one of the lowest 5 public
choices at the race track.
The logical thing to do is to
divide the horses into 3 groups:
| Public Choice Rank |
|
|
|
|
|
|
|
Starts |
Pays |
Pct |
$Net |
IV |
PIV |
AvPay |
AvOdds |
| 1 |
28 |
6 |
21% |
$1.04 |
2.09 |
0.70 |
$4.85 |
1.71 |
| 2-5 |
101 |
17 |
17% |
$1.87 |
1.59 |
1.27 |
$11.12 |
5.25 |
| 6+ |
142 |
2 |
1% |
$0.81 |
0.18 |
0.36 |
$57.50 |
20.21 |
If we look at the raw odds
themselves, we find that the odds groups break nicely into three
categories:
| range |
Starts |
Pays |
Pct |
$Net |
IV |
PIV |
AvPay |
AvOdds |
| below
9/5 |
15 |
4 |
27% |
$0.93 |
1.82 |
0.67 |
$3.50 |
1.09 |
| 9/5
to 8/1 |
97 |
19 |
20% |
$2.04 |
2.14 |
1.26 |
$10.42 |
4.33 |
| above
8/1 |
159 |
2 |
1% |
$0.72 |
0.15 |
0.31 |
$57.50 |
19.42 |
In this type of race, the public
is usually wrong, picking the wrong favorite. But they are not too
wrong. While betting on favorites is usually a bad idea, betting on
horses beyond the fifth public choice or above 8/1 is the kiss of
death.
And notice that 0.70 PIV? That
means that favorites only win 70% of the races that the public thinks
they should win based upon how the money in the win pool is
distributed.
Early
Speed
We have chosen Quirin Early Speed
Points to describe the
importance of early speed.
| Quirin
Early Speed Points |
|
|
|
|
|
| Pts |
Starts |
Pays |
Pct |
$Net |
IV |
PIV |
AvPay |
AvOdds |
| 0 |
46 |
2 |
4% |
$0.32 |
0.48 |
0.47 |
$7.45 |
7.93 |
| 1 |
4 |
1 |
25% |
$1.95 |
2.14 |
1.92 |
$7.80 |
5.38 |
| 2 |
33 |
2 |
6% |
$2.13 |
0.63 |
0.66 |
$35.20 |
8.04 |
| 3 |
32 |
4 |
13% |
$1.68 |
1.46 |
1.45 |
$13.48 |
8.64 |
| 4 |
28 |
3 |
11% |
$1.46 |
1.36 |
1.15 |
$13.67 |
7.90 |
| 5 |
42 |
5 |
12% |
$1.28 |
1.24 |
1.03 |
$10.74 |
6.16 |
| 6 |
23 |
3 |
13% |
$2.67 |
1.37 |
1.06 |
$20.47 |
5.72 |
| 7 |
24 |
2 |
8% |
$0.48 |
0.85 |
0.70 |
$5.75 |
5.95 |
| 8 |
39 |
3 |
8% |
$0.51 |
0.86 |
0.80 |
$6.67 |
7.60 |
Not too much to recommend here,
accept that true early horses (7 or 8 points) do not typically last at
these distances.
Earnings
Per Start Rank
Earnings per start has long been
used as a yard stick for determining who the better horses are in a
given race. In our calculation of earnings per start,we looked for a
10% edge between horses to make an edge in the rankings.
| Earnings Per Start |
|
|
|
|
|
| Rank |
Starts |
Pays |
Pct |
$Net |
IV |
PIV |
AvPay |
AvOdds |
| 1 |
28 |
5 |
18% |
$1.47 |
1.68 |
0.67 |
$8.22 |
2.11 |
| 2 |
30 |
8 |
27% |
$1.76 |
2.58 |
1.49 |
$6.61 |
3.65 |
| 3 |
25 |
4 |
16% |
$1.48 |
1.55 |
1.26 |
$9.25 |
5.53 |
| 4 |
34 |
2 |
6% |
$0.69 |
0.59 |
0.55 |
$11.80 |
6.78 |
| 5 |
17 |
3 |
18% |
$5.09 |
1.58 |
2.29 |
$28.87 |
9.79 |
| 6 |
28 |
1 |
4% |
$0.36 |
0.34 |
0.72 |
$10.00 |
15.82 |
| 7 |
31 |
1 |
3% |
$0.61 |
0.36 |
0.63 |
$18.80 |
15.30 |
| 8 |
12 |
|
0% |
$0.00 |
|
|
|
16.88 |
| 9+ |
66 |
1 |
2% |
$0.98 |
0.23 |
0.33 |
$64.60 |
16.82 |
Notice that after the top 5 ranks
the IVs drop off drastically, as do the odds. In other words, the
public is well aware that horses with greater earnings win more often.
Total
Earnings, Last 2 Years
In Dr. Frederick Davis’
manuscript, Percentages & Probabilities (Wildwood
Publications) from 1973, he suggested that a good way to measure class
was to simply rank the horses by total money earned in the last two
years.
| Total Earnings, Last 2 Years |
|
|
|
|
|
| Rank |
Starts |
Pays |
Pct |
$Net |
IV |
PIV |
AvPay |
AvOdds |
| 1 |
31 |
6 |
19% |
$3.05 |
1.99 |
1.03 |
$15.78 |
3.44 |
| 2 |
24 |
6 |
25% |
$2.35 |
2.31 |
1.42 |
$9.38 |
3.72 |
| 3 |
26 |
1 |
4% |
$0.14 |
0.35 |
0.24 |
$3.60 |
4.27 |
| 4 |
24 |
5 |
21% |
$3.98 |
1.92 |
2.07 |
$19.12 |
7.23 |
| 5 |
27 |
3 |
11% |
$1.57 |
1.13 |
1.16 |
$14.13 |
7.67 |
| 6 |
22 |
|
0% |
$0.00 |
|
|
$0.00 |
11.43 |
| 7 |
23 |
2 |
9% |
$1.03 |
0.91 |
1.17 |
$11.90 |
10.16 |
| 8 |
16 |
2 |
13% |
$1.14 |
1.34 |
2.27 |
$9.10 |
14.09 |
| 9 |
78 |
|
0% |
$0.00 |
|
|
$0.00 |
13.88 |
This factor deserves some serious
attention. First, notice that the first two rankings (and three of the
top four) produced a significant profit. But before you get all
excited and decide that you can bet the Derby on earnings alone,
notice the relationship between Average Pay and Average Odds.
See how the average pay is way out
of line with the odds? That points to the fact that these rankings
were inflated by some higher than normal winners.
But that isn’t necessarily bad
news. Perhaps this is a way for us to point to those few horses that
did pay big mutuels.
The way to use total earnings is
as an excuse to put back in as contenders some of those longshots on
the tote board.
Average
Purse Value Rank (APV)
Average Purse Value, or APV as it
is usually called, measures the size of purse for which each animal
has been competing. For a more in-depth definition, look in Dr.
WIlliam Quirin’s Winning at the Races (referenced earlier in
this article).
| Average Purse Value Rank |
|
|
|
|
|
| Rank |
Starts |
Pays |
Pct |
$Net |
IV |
PIV |
AvPay |
AvOdds |
| 1 |
29 |
7 |
24% |
$2.41 |
2.30 |
1.05 |
$9.99 |
2.61 |
| 2 |
32 |
7 |
22% |
$1.51 |
2.37 |
1.34 |
$6.90 |
4.10 |
| 3 |
25 |
2 |
8% |
$2.41 |
0.76 |
0.51 |
$30.15 |
4.29 |
| 4 |
27 |
4 |
15% |
$1.20 |
1.35 |
1.60 |
$8.08 |
7.98 |
| 5 |
27 |
3 |
11% |
$1.49 |
1.00 |
1.08 |
$13.40 |
7.07 |
| 6 |
16 |
1 |
6% |
$1.19 |
0.59 |
1.13 |
$19.00 |
14.04 |
| 7 |
21 |
|
0% |
$0.00 |
|
|
$0.00 |
14.52 |
| 8 |
18 |
|
0% |
$0.00 |
|
|
$0.00 |
19.08 |
| 9+ |
76 |
1 |
1% |
$0.85 |
0.20 |
0.27 |
$64.60 |
15.98 |
In the table above we have ranked
the horses, demanding a 10% edge over the next horse in the rankings.
Notice that 23 of the 25 winners were ranked in the top 5.
Final
Time (Speed Ratings)
What if we just looked at the
final time ratings of each horse? The first question is, "How do
we look at final time?"
| Final
Time Analysis |
|
|
|
|
|
|
|
| Factor |
Starts |
Pays |
Pct |
$Net |
IV |
PIV |
AvPay |
AvOdds |
|
| Best2(7+) |
111 |
|
0% |
$0.00 |
|
|
$0.00 |
16.06 |
Best 2 ever |
| B3L4(5+) |
165 |
1 |
1% |
$0.08 |
0.07 |
0.11 |
$13.00 |
13.57 |
Best 3/Last 4 |
| B2L3 |
137 |
1 |
1% |
$0.09 |
0.09 |
0.15 |
$13.00 |
15.74 |
Best 2/Last 3 |
| 2Best |
142 |
1 |
1% |
$0.10 |
0.09 |
0.12 |
$14.00 |
13.36 |
2nd Best Ever |
| AVG3(5+) |
163 |
2 |
1% |
$0.23 |
0.15 |
0.21 |
$18.50 |
12.95 |
Average: Last 3 |
| B2L4(5+) |
165 |
3 |
2% |
$0.50 |
0.22 |
0.32 |
$27.67 |
13.47 |
Best 2 of Last 4 |
| AVG2(5+) |
159 |
3 |
2% |
$0.48 |
0.23 |
0.33 |
$25.67 |
13.45 |
Average: Last 2 |
| AVG4(5+) |
159 |
3 |
2% |
$0.32 |
0.23 |
0.32 |
$17.00 |
13.11 |
Average: Last 4 |
| BL2 |
139 |
4 |
3% |
$0.55 |
0.36 |
0.50 |
$19.00 |
13.32 |
Best/Last 2 |
| BL3 |
140 |
4 |
3% |
$0.64 |
0.36 |
0.50 |
$22.25 |
13.56 |
Best/Last 3 |
| BL4 |
139 |
4 |
3% |
$0.73 |
0.36 |
0.52 |
$25.25 |
14.08 |
Best/ Last 4 |
| Best |
140 |
4 |
3% |
$0.72 |
0.36 |
0.53 |
$25.25 |
14.52 |
Best Ever |
| Last |
137 |
4 |
3% |
$0.65 |
0.37 |
0.49 |
$22.25 |
12.92 |
Last Race |
We are searching for ways to use
final time as a contender selector here. In looking at these 13
different final time factors we have chosen the most effective ranking
as a contender selector and ranked the factors by impact value.
In most cases, we broke the
contender/non-contender status at the 6th ranking. That is, the
unmarked ones above (such as B2L3) include the totals for horses
ranked 6th or worse in their field. Wherever a different ranking was
more effective we marked it appropriately.
In studying the above table, we do
not suggest that "Best 2 Ever" is the factor to use. Notice
that we had to drop down to the 7th ranking to use it as an
elimination. That is because the 6th-ranked horses actually performed
respectably.
Some of the factors in the above
table actually allowed us to move up a notch to the 5th ranking. Stand
back from this table and look at the order. You will notice a pattern.
The absolute worst way to use
Speed Ratings was "Last Race," followed closely by several
"Best-of-Last-Somethings." In other words, no single, big
race is going to point to a winner in the Derby! It requires multiple
big races!
Look at the PIVs. Remember that
this is "Pool Impact Value." This means that horses which
did not rank in the top 4 for B3L4 (Best 3 of Last 4) won only 11% of
the races that the public thought they should have won. This is
a very significant finding and should be taken very seriously.
By the way, we feel that using the
Beyer number or any other high quality approach to speed ratings
should work well. Just remember that if you are using the Beyer
number, you must look for at least a two-point edge in the ratings.
One of the other questions that
you would logically be asked would be, "Should sprint races be
used in computing these rankings?"
Our approach to speed was to use
all races, all distances, all surfaces, and to demand a full length of
difference in the speed ratings to break a tie.
Speed ratings offer a simple, yet
powerful way to pick contenders in the Kentucky Derby. No single race
qualifies a horse as a contender. Throwing in one clunker in the last
4 is okay, but more than one is enough to strongly downgrade a horse’s
chances.
Early
Pace
In studying early pace, we simply
looked at the early pace rating earned by each horse, just as we did
the speed ratings. Obviously, this is not as easy to apply as the
final time ratings mentioned earlier because it takes more work to
calculate the ratings. The extra effort may well eliminate an extra
horse or two on Derby day.
| Early
Pace |
|
|
|
|
|
|
|
|
| Factor |
Starts |
Pays |
Pct |
$Net |
IV |
PIV |
AvPay |
AvOdds |
|
| B2L4(6+) |
134 |
1 |
1% |
$0.10 |
0.09 |
0.13 |
$13.00 |
13.97 |
Best 2/Last 4 |
| Best2(7+) |
117 |
1 |
1% |
$0.11 |
0.11 |
0.16 |
$13.00 |
14.05 |
Best 2 Ever |
| B3L4(6+) |
139 |
2 |
1% |
$0.19 |
0.18 |
0.26 |
$13.50 |
13.94 |
Best 3/Last 4 |
| 2Best(6+) |
138 |
2 |
1% |
$0.20 |
0.19 |
0.24 |
$13.50 |
12.70 |
2nd Best Ever |
| B2L3(5+) |
163 |
3 |
2% |
$0.15 |
0.22 |
0.29 |
$8.00 |
11.96 |
Best 2/Last 3 |
| Avg2(5+) |
161 |
3 |
2% |
$0.15 |
0.23 |
0.29 |
$8.00 |
12.08 |
Average:Last 2 |
| Last(7+) |
117 |
2 |
2% |
$0.16 |
0.23 |
0.29 |
$9.50 |
13.22 |
Last Race |
| Avg4(6+) |
138 |
3 |
2% |
$0.26 |
0.28 |
0.37 |
$12.00 |
13.28 |
Average: Last 4 |
| BL2(7+) |
116 |
3 |
3% |
$0.32 |
0.35 |
0.42 |
$12.33 |
12.34 |
Best of Last 2 |
| Avg3(5+) |
166 |
5 |
3% |
$0.31 |
0.36 |
0.46 |
$10.40 |
11.67 |
Average:Last 3 |
| Best(5+) |
162 |
5 |
3% |
$0.71 |
0.37 |
0.46 |
$23.00 |
11.33 |
Best Ever |
| BL4(5+) |
161 |
6 |
4% |
$0.75 |
0.45 |
0.55 |
$20.17 |
11.19 |
Best of Last 4 |
| BL3(5+) |
160 |
6 |
4% |
$0.76 |
0.45 |
0.55 |
$20.33 |
11.15 |
Best of Last 3 |
It appears that best 2 of last 4
races is the best way to apply the early pace factor. Notice that this
would have eliminated 134 starters and only 1 winner! This factor was
powerful enough that it deserves a more in depth look.
| Early Pace Rating: Best 2 of Last 4 |
|
|
|
|
|
| Rank |
Starts |
Pays |
Pct |
$Net |
IV |
PIV |
AvPay |
AvOdds |
| 1 |
29 |
8 |
28% |
$1.83 |
2.66 |
1.38 |
$6.64 |
3.14 |
| 2 |
26 |
6 |
23% |
$5.99 |
2.27 |
1.35 |
$25.97 |
3.87 |
| 3 |
29 |
5 |
17% |
$1.89 |
1.66 |
1.34 |
$10.96 |
5.47 |
| 4 |
23 |
2 |
9% |
$0.79 |
| |