Steve Buzzard has agreed to write another guest post for us. And I think it’s a very good one. Steve is a lifelong Colts fan and long time fantasy football aficionado. He spends most of his free time applying advanced statistical techniques to football to better understand the game he loves and improve his prediction models.

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Last month, I wrote about how to project pass/run ratios using offensive Pass Identities and the point spread. However, this methodology only considers one side of the ball. Can we actually improve our projections model using both offensive and defensive Pass Identities? As it turns out the answer is yes.

First, I started off by creating defensive Pass Identities using the same methodology found here. The first thing I noticed was the standard deviation of pass ratios for defenses was only 3.0% compared to 5.1% for offenses. This led me to believe that offenses control how much passing goes on in a game more than defenses. I was glad to see this as it confirmed most of my previous research as well. Given this, it wasn’t appropriate to use a standard deviation of 3.0% for defenses in my projection while using a standard deviation of 5.1% for offenses. Instead, I used the combined standard deviation of all 64 offensive and defensive pass ratios, which turned out to be 4.17%. This doesn’t change the order of passer identities much but obviously does increase the deviation from the mean for the offensive side of the ball and decrease it for the defensive side. [Chase note: Determining the best way to handle the differing spreads between offensive and defensive pass ratios is a good off-season project; in the interest of time, I advised Steve to split the difference and move ahead with the analysis.]

Now that we have a Pass Identity grades for both sides of the ball, we can add a strength of schedule adjustment, too. To make the SOS adjustment, I simply took the average of the defensive Pass Identities played by each offensive unit and the average of the offensive Pass Identities played by each defensive unit. As expected the SOS adjustments had a much larger impact on the defensive Pass Identities than the offensive Pass Identities.

Here is the full list of adjusted offensive Pass Identities using the 4.17% standard deviation mentioned above and the strength of schedule adjustment. A positive SOS adjustment means the team faced teams that, on average, other teams passed against more often than average. If a team has a positive SOS adjustment, that means we need to reduce the team’s pass identity.

For example, the Steelers had an almost perfectly average Game Script (-0.02) and had a Pass Ratio that was 0.74 standard deviations above average. However, Pittsburgh’s schedule was loaded with teams that other teams passed against, too — in other words, the Steelers faced a schedule that was pass-friendly. As a result, the SOS adjustment of .11 reduces their Pass Identity to 109.2 (100 + 15*.61).

Here is the full list of defensive Pass Identities.

Since the defensive Pass Identities are new to the site, let’s take a closer look at some of the teams. Let’s start at the bottom of the list which contains the defenses that are least likely to be passed on. Seeing Seattle as the team that most teams are afraid to pass against makes a lot of sense: the Seahawks had a historically great pass defense, finishing with an ANY/A average that was 2.93 standard deviations better than average. It is also not surprising to see Chicago near the bottom. That’s not because of how great the Bears pass defense was, but instead due to the fact that Chicago allowed half a yard more per rushing attempt than the 31st worst run defense. Finally, seeing New England and Denver in the bottom four isn’t completely surprising either as teams try to keep the ball away from Tom Brady and Peyton Manning by shortening the game.

On the other hand, a couple of the teams that are most likely to be passed on are a little surprising, especially the number one team. The Cardinals were very good against the run (ranking 3rd and allowing only 3.7 yards per attempt) but were also very good against the pass (ranking 6th and allowing only 5.1 ANY/A). The Giants are another team that stands out as a little unusual. Like Arizona, New York had a pretty good run defense (ranking 4th giving up 3.8 yards per attempt) but had a passing defense that was nearly as good (ranking 6th at 5.1 ANY/A). In both of these cases I would have expected the pass defense to rule coaches’ decisions more than the rushing defense but it seems to be the other way around. Minnesota and their 30th ranked pass defense and the Jets and their #1 ranked rushing defense aren’t nearly as surprising to be at the top of this list.

So now let’s combine the offensive Pass Identities with the Defensive Pass identities and Vegas point spreads to get the projected pass ratios for this weekends playoff games. We will use the same methodology as last month but the following is a quick summary.

We start by obtaining the Vegas point spread for each of the games this week and taking one half of it to get the approximate Game Script for the game. Next, we determine how many standard deviations from the mean this Game Script will be. The standard deviation for Game Scripts this year was 5.86. Then, we convert the offensive and defensive Pass Identities listed above back to their standard deviation form. Now we can predict the pass ratio for each team by using the following formula: League average pass ratio + (A+B+C)*Standard Deviation of pass ratio where

(A) = number of standard deviations above/below average the projected Game Script
(B) = number of standard deviations above/below average the offensive side of the ball is in Pass Identity
(C) = number of standard deviations above/below average the defensive side of the ball is in Pass Identity

Where the league average pass ratio is 58.3% and the standard deviation of all offensive and defensive pass ratios is the one derived above of 4.17%.

Here is a full list of the projections for this week. Here’s how to read the table below. The team projected to be the most pass-happy this week is New Orleans. The Saints are 7.5 point underdogs this week against the Seahawks, which translates to a projected Game Script of -3.8. That means the Saints Game Script is projected to be 1.19 standard deviations below average against the Seahawks. During the regular season, the Saints had a Pass Identity of 129, which was 1.92 standard deviations above average, while the Seahawks defense had a defensive Pass Identity of 73.1, which was 1.79 standard deviations below average (meaning less pass-friendly against). This means we would project the Saints to be 1.32 standard deviations above average in terms of pass ratio this week. That gives New Orleans a projected pass ratio of 63.8%, which is right at their year to date average. In other words, the two competing factors — likely to be trailing and facing a dominant pass defense — are projected to essentially cancel each other out.

What can we gather from these projections? One thing to note: we should see a general uptick in passing this weekend, since the combined year to date pass ratio of these eight teams is 55.7% and their projections this week are about 57.3%. That said, all four games are outdoors in January, so the weather could result in depressing some of the pass ratios, which means we might not see much of an uptick after all.

Secondly, the most key offensive unit this week may be Colin Kaepernick and the 49ers passing game. San Francisco has typically only passed on about 47.7% of their plays, but this study projects them to pass closer to 55% of the time. That’s an increase of about 16% from their year to date average. That’s because San Francisco has played with an average Game Script of 5.86, but (1) this game is expected to be even, and (2) teams tend to pass against Carolina, as a result of Luke Kuechly and the Panthers’ great front seven combined with the team’s less-than-stellar secondary. And while the 49ers were not very successful when trying to pass against Carolina during the regular season (Kaepernick gained just 46 net yards on 28 pass plays), Michael Crabtree was not active for that game.

Some of these extra dropbacks may simply result in more scrambles for Kaepernick, but either way, I suspect that more will be placed on the quarterback’s shoulders than in all but two other games from 2013. The first of those games was when Kaepernick lost to the Saints 23-20 in week 11. Against New Orleans, Kaepernick was only 17-31 for 127 yards, and PFR graded the San Francisco passing offense as being -0.26 expected points added that day. The second game was in week 17, when the 49ers beat the Cardinals by that same score of 23-20. Against Arizona, Kaepernick played much better (with Crabtree around) going 21-34 for 310 yards, producing 13.37 expected points. ^[1]In week 1 against the Packers, Kaepernick of course had an excellent game. But against Green Bay, the 49ers only passed on 55% of their plays. If the 49ers hope to win this week at Carolina, Kaepernick will have to play significantly better. My guess is that he will, continuing to build on his successful playoff narrative.

Another interesting game that sticks out is the Patriots only being expected to pass on 54.2% of their plays. That would be their 6th lowest pass ratio for the year. Can we really expect the Patriots to go into a playoff game with a healthy Tom Brady and pass so little? There are two main reasons to believe so. First, the Patriots aren’t really that pass happy this year due to so many changes in the passing game, as New England ranked only 9th in Pass Identity. Second, the Patriots have played a lot of close games this year and their projected game script of 4.5 would be the team’s 6th largest game script of the year, depressing the team’s pass ratio. In the other 5 games with large Game Scripts, New England’s average pass ratio was only 50%. This includes the last two weeks against the Ravens and the Bills, where New England only passed on 41% of all plays.

Finally, the matchup that might be the most intriguing is the Sean Payton’s high flying pass offense vs. the all time great Seahawks pass defense, where this model expects the Saints to pass on 63.8% of their attempts which is right at their year to date numbers. However, what’s interesting is this is 11% higher than the 57.4% that teams have passed on the Seahawks so far this year. During their first meeting, a 34-7 blowout loss, Drew Brees attempted a pass on a whopping 70% of the team’s snaps. As you probably remember, very few of those pass attempts were positive as New Orleans’ pass offense produced -19.5 expected points on 38 passing attempts for 147 yards and a fumble. Of course, the Saints didn’t do much better running the ball, either, gaining only 44 yards on 17 attempts (worth -4 expected points). It doesn’t take advanced stats to know the Saints will have to do better than that this time around if they want to win. But what is amazing is the miserable 3.8 ANY/A the Saints posted was already better than the 3.2 ANY/A the Seahawks gave up this year (one big reason: it was one of just 5 games where Seattle did not force an interception). In other words, it’s going to take a close to perfect game from New Orleans to beat Seattle by passing on 64% of all plays, given the dominant Seattle pass defense. That task may be even more difficult, if we assume that the lack of penalties in the playoffs will help the Seahawks ferocious pass defense.