Quite a bit of press was given after this year's 2012 U.S. Presidential election to the structure, relevance, and fairness of the Electoral College. (And, historically, the same topic is debated after each of the last several Presidential elections.) The fundamental issue being discussed is whether the Electoral College truly represents the intent of the voters, especially when all states (save Maine and Nebraska) and the District of Columbia use a "winner-take-all" formula for allocating electoral votes to candidates. After all, it is possible with the current format of the Electoral College that a Presidential candidate could win the election via electoral vote despite not winning the popular vote at the national level. I also believe many people are tired of looking at the simplistic "red state / blue state" map that the Electoral College represents.

Certainly the notion of eliminating the Electoral College and electing the President via a national popular vote is an interesting approach. It would eliminate some portion of state-by-state campaigning, which has both pros and cons. But I wanted to take a different look at the issue, and asked myself the questions: What if we kept the Electoral College, and how could we make it better?

In order to find a middle ground of sorts between the current Electoral College and a national popular vote, I decided to create a new Electoral College formula. This formula has three guiding principles:
  1. Maintain the basic state-by-state structure of the current Electoral College and the 538 electoral votes.
  2. Establish a more proportional structure for the electoral votes so that they more closely resemble each state's popular vote.
  3. Maintain a small incentive for a state "winner".

(It's worth noting that I came up with this idea and the resulting formulas before looking at any data.)

In the end my formula was fairly simple:
  • First, allocate one electoral vote in each state to the overall winner (measured by popular vote) of the state.
  • Second, allocate the remaining electoral votes in that state to each candidate based on their percentage of the popular vote.

For example, the state of Wisconsin has 10 electoral votes. As such one vote would be allocated for the overall winner and nine votes would be allocated proportionally. If the popular vote in Wisconsin for the 2012 Presidential election was 55.5% for Obama and 44.4% for Romney, then Obama would receive 6 electoral votes (5 votes of the 9 based on his popular vote percentage + 1 vote for being the state's winning candidate) and Romney would receive 4 electoral votes (4 votes of the 9 based on his popular vote percentage). Obviously this outcome is significantly different than the winner-take-all approach in 2012 election where Obama won the popular vote in Wisconsin and collected all 10 electoral votes.


Figure 1: the intensity of each candidate's state victory as measured by the percentage difference between the winning candidate's electoral votes and the total number of electoral votes for that state.

To put this formula to the test I built out the data set using the new state-by-state calculations and created some interactive visualizations. The results are fairly interesting, although perhaps not incredibly surprising. Some highlights:
  • Using the new Electoral College formula results in a 2012 Presidential election where Obama's margin of victory is significantly more representative of the national popular vote. In fact, they would be almost exactly the same except for the popular votes that went to 3rd party candidates.
  • Large states look very different using the new Electoral College formula. For example, California isn't quite as "blue" and Texas isn't quite as "red".

You can view and interact with all the results here. This area also includes more detail around my assumptions and formulas. Time permitting (which unfortunately is not likely) I would like to add the time dimension to this analysis by including data for the previous 3-4 elections. I think it would be interesting to see how the states change from one election to the next using the same formula for calculating electoral votes. If you have any suggestions/questions/comments please include them in the Comments section below.

-JPL
 
 
Social media has been called “the world’s most effective, yet least understood marketing strategy” (Misner 1999). Marketers have become particularly interested in better quantifying the effects of word-of-mouth communication, as traditional forms of communication appear to be losing effectiveness and new digital channels continue to emerge. Additionally, the inundation of consumer touch-points has created an ability to ‘tune out’ messages, making it even harder to break through the clutter. With the advent of blogs, Facebook, Twitter and other forms of online social communities, understanding and measuring the impact of word-of-mouth is more important than ever.

Academic research, since the 1950s, has demonstrated that consumers respond more favorably to word-of-mouth communication than to a marketer’s paid advertising. However, these studies have historically relied on self-reporting through surveys. With the Internet now the most measurable medium we have ever witnessed, opportunities abound to measure actual word-of-mouth communication on in-market behavior.

However, social media do not work the same way as most paid media channels. Word-of-mouth communication is typically “earned” either by some response to marketing or as a result of some action on the consumer’s part. A consumer may talk about a promotion (s)he has seen in an advertisement, which influences a friend to visit the store and make a purchase. That friend then shares the experience with others, which continues to drive the interdependency between paid, owned, and earned media. As a result, traditional marketing mix modeling methodologies are not able to accurately measure the impact of social media – or any other intermediate or feedback behaviors.

In order to model the direct, indirect, and feedback effects of paid, owned, and earned media on consumer behavior, we have successfully utilized Vector Autoregression (VAR) to accurately reflect how 21st-century marketing and media drive consumer response. Here are a few things we have learned:
  • Consumers are indeed more responsive to word-of-mouth than they are to a marketer’s paid advertising.
  • However, one way in which word-of-mouth works is to amplify the effects of a marketer’s paid and owned media. If not modeled correctly, total effects of paid and earned media are often underestimated.
  • Paid media drives word-of-mouth, which influences consumer response and, in turn, triggers more earned media. Marketing mix measurement methods must be capable of capturing these feedback effects.
  • Paid media channels often work differently in terms of their ratio of direct to indirect effects on behavior. Some media work more directly in terms of driving purchase vs. conversation.
  • Paid, owned, and earned media differ in terms of the duration of their effects. For example the direct effect of a television ad on sales may endure for a week or two, while the effects of word-of-mouth – triggered by that same ad – can persist for far longer. Most marketing mix models fail to capture these differential time effects.
  • Finally, “what” consumers say often matters more than the volume and valence of their conversations. Being able to track the context of the conversation is critical in measuring the impact of social media.
In today’s new marketing ecosystem, state-of-the-science analytical solutions are required to accurately measure the return on marketing investment. Vector autoregression has been academically tested and proven to accurately reflect consumer behavior in today’s marketplace.

Please feel free to contact me at craig.stacey@mproductivity.com with questions or comments.
 
 
_I have been asked by several people in industry to provide more detail with respect to the points I raised in “A Mix Modeling Manifesto.” While we are working on an academic publication, which could take months (or even years!) to get published, I decided to post some brief notes as follow-ups to my previous article. This is the second installment of those follow-ups.
 
 
_I have been asked by several people to provide more detail with respect to the points I raised in “A Mix Modeling Manifesto.” While we are working on an academic publication, that could take months (or even years!) to get published. As a result, I have decided to post some brief notes as follow-ups to my previous article. I will address each point in an individual installment in hopes that we can continue the focused discussions we have had so far.
 
 
_With the rapid adoption of marketing effectiveness measurement throughout industry, discussion of marketing mix modeling is no longer confined to the marketing science departments of CPG companies. C-level executives are increasingly issuing the mandate to initiate marketing mix analyses and even more are sitting in on vendor pitches and final results presentations. Since so many are now acting upon recommendations from these studies, there is a need for everyone from the CMO to the marketing research manager to have a better understanding of the marketing mix modeling process.