Our paper deals with head-to-head sports fantasy leagues, where managers compete against each other, usually during a week. In a head-to-head matchup, the competing managers try to best the other in a majority of the statistical categories that are being fought for by the players on their teams. A naive strategy, probably implemented by the vast majority of fantasy managers (myself included), attempts to simply pick the best players available in the draft, which roughly corresponds to just aiming to be good at all statistical categories. What we showed, however, is that there are many strategies involving “punting” (i.e. not caring about) categories that defeats this naive strategy.

What I have now is a large (and ever-growing) data set from these simulations that I want to analyze further.

For our simulations, we sampled all statistics with a Gaussian Distribution. Truthfully enough, the lack of time before the paper deadline was a large reason I stuck to this, but it’s time to consider what is more appropriate. For example, here are the career points statistics for Kobe Bryant (thanks to Google Charts and my nifty Java back-end for it):

So you see, a normal distribution looks feasible, especially when you take out the zero-point games, most likely games he didn’t play in at all. However, for other statistics, especially low-valued statistics (like turnovers), the situation is a little different:

This histogram SCREAMS binomial distribution (with p = .35 or thereabouts). I may just have to punt myself and just sample directly from the discrete distribution obtained from all historical data!

Teaching how to apply the chain rule is, in theory, simple: teach your students to identify when we’re dealing with a composition of two functions, find your outer function f and your inner function g, and go to town. Nevertheless, calculus texts, always fond of killing as many trees as possible, like to pad the section with “generalized” versions of other derivative rules, which are simply specialized versions of the chain rule. For example, the following take up most of Rogawski’s section on the chain rule (it has been modified to use prime notation instead of Leibniz notation):

So now, when approached with a problem, the typical student now wonders whether to use one of five different things, even though it’s always the chain rule.

Thoughts?

I’ve been dallying around with the Google Chart API for a while now, and think it’s a great tool to incorporate analytical data into websites, as the current state of mainstream data visualization is lacking. I just noticed that you can do LaTeX code quickly and easily, like the following:

It says you need to know TeX, but it looks like they are actually using LaTeX. What we really need now, however, is an online LaTeX editor, something akin to Google Docs for the scientific world (although there are still too many of you biology and chemistry folks that still use Microsoft Word). This is the project I wanted to work on under Google’s support, and I know it would have made them billions of dollars. I guess I’ll have to go it alone, along with the other reader of this blog!

Now I can start doing what I have wanted to for a while – talk about teaching mathematics on this blog.

This method doesn’t seem to work well with flowers, though. I ordered some for my boo, mainly because I was lazy and we’re more focused on the impending arrival of Pete and Tiffany. However, they didn’t come. So I wrote to Woot:

I ordered the Valentine’s woot on Monday with the order number in the title, and it hasn’t come yet. Being that I was guaranteed delivery *before* Valentine’s Day and that the tracking confirms this didn’t happen, I’m hoping to get a refund/credit+ for woot . . .

My response? Lacking, at best:

I’m very sorry, it looks like the order was held up because of weather issues. I have refunded your shipping.

Refunded the $5 shipping? Great! I gave them one more chance to make the correct decision before my credit card company does it for me. Lessons learned:

• Don’t buy flowers online.
• (Applicable in other areas) A lot of goodwill built up over years can still easily vanish.

(12/7/2009 8:55PM) Person A:

If they are still available, Id love to buy both.

Thanks,

Person A

(12/8/2009 9:18AM) Me:

Hi Person A,

Thanks for your email. I have one marked to be sold on Friday, but if you can come tonight (after 9pm, though) then I’ll sell both. Otherwise, as I’ll be gone Wednesday and Thursday, I’ll have to wait to see if the other person will come buy one (I am fairly confident he will come) – if you can’t make it tonight but still want one of them, I’ll sell it for $15 instead of $20.

I live very close to the corner of Front and Catherine. Hopefully that made sense. Let me know about tonight. Thanks again!

[paul]

(12/8/2009 1:31PM) Person A:

Paul,

I could definately do tonight. I’ll take both. This is a gift for someone. What else do I need? The game? Any game in particular for these?

Thanks,

Person A

(12/8/2009 1:34PM) Me:

Hi Person A,

Thanks for your email. These guitars work specifically with the Guitar Hero set of games, and I am pretty sure (but not certain) that they don’t work with the Rock Band set of games.

So – pretty much you want to get any of the Guitar Hero games. I don’t have anything else – I used to have it, but I turned in my games in a double-reward turn-in offer and sold the Wii system on ebay.

So – give me a time when you’ll come tonight and I’ll verify. Then call me at my mobile below when you’re there, and I’ll come out with the goods.

[paul]

(12/8/2009 3:05PM) Person A:

Paul,

F rock band! I like guitar hero. I am a stand up comic and your last email prompted me to write 5 minutes on how buying ANYTHING on craigslist feels like a drug deal. Maybe it was your use of the word “goods” or maybe it was because the last player piano I bought was filled with hash.

Expect me around 9 on the money.

(12/8/2009 4:01PM) Me:

Hi Person A,

Ha – very good then! See you at 9.

[paul]

Interesting, huh? Well, maybe it’s boring. Regardless, it’s different, and it has made me think about the differences in discourse via Craigslist, as opposed to “normal” e-mail discourse (whatever that is).

So, I am asking everyone to submit to me (via email to paul@myraff.com) their own Craigslist threads for the sale of a certain item. It can be in whatever format you want – I will do the parsing – but you can be assured of the following, if you don’t do it yourself:

1. Names will be masked.
2. Contact information will be masked.
3. Specific home addresses will be masked.

What I hope to do is create a corpus of roughly 5000 email threads for the items and do a linguistic analysis of the text. Sadly I can’t go straight to Craigslist since all they do is arrange for the sending of the first email, and they are gone after that.

DocumentBuilderFactory docBuilderFactory = DocumentBuilderFactory.newInstance();
DocumentBuilder docBuilder = null;
Document doc = null;
try {
    docBuilder = docBuilderFactory.newDocumentBuilder();
    doc = docBuilder.newDocument();
}
catch (ParserConfigurationException e) {
    e.printStackTrace();
};

Creating a new Jena model:

ModelFactory.createDefaultModel();

TransformerFactory transfac = TransformerFactory.newInstance();
Transformer trans = transfac.newTransformer();
trans.setOutputProperty(OutputKeys.OMIT_XML_DECLARATION, "no");
trans.setOutputProperty(OutputKeys.INDENT, "yes");
StringWriter sw = new StringWriter();
StreamResult result = new StreamResult(sw);
DOMSource source = new DOMSource(doc);
trans.transform(source, result);
return sw.toString();

The compromise was easy to spot, as I got confirmation emails from Microsoft thanking me for the purchase of an XBOX Live Gold Account, 10000 Microsoft Points (valued at $125), and two games. It seems that the thief not only had my credit card information, but my email address also, which isn’t surprising.

What is surprising is the clearly outsourced capability of Microsoft to deal with the matter. When I called Microsoft to inform them of this issue, the lady on the other end seemed incredulous that an account could be opened in my name that I didn’t open myself, and it took about 20 minutes to get the Gold Account canceled. She said I would have to dispute the charges with my bank, which I had already done in 3 minutes.

Not only that, but the culprit potentially may not be too bright, based on the email confirmation I received of the cancellation:

Billy Ver? Billy Ver? Facebook brings up a few options, but nothing worth pursuing.

I emailed Microsoft with all of this information (ticket number 1109336330), asking them to investigate. We’ll see what happens. Stay tuned.

So – I can pay $5.95 to get a warranty for a product I paid $4.75 for. Additionally, if you go to the main page of BuyShield, you will be greeted with a statistic:

Laptops have a failure rate of 22% and a repair rate of 43% within the first 3 years of ownership.

While I won’t question that statistic, it doesn’t jive with the fact that SquareTrade offers a 3-year warranty that is less than 22% of the cost of the laptop computer. So there’s something amiss.

Don’t buy third-party electronics warranties. It can only end up in pain.

• This website will be home to all of my papers and results relating to my projects in enumeration schemes, logistics, formal proof, polytomous linear regression, and numerous other fields in mathematics, statistics, and statistical learning.
• This website will have pages of all of the class websites of classes I am teaching, past or present (starting in the Summer of 2009).

I also plan on fiddling around with a blog, but that is on hold for now.