Alex and Brendan, This is a very good paper on an interesting topic where there is still a lot of disagreement. The evidence from different sports (like bowling) is valuable because it highlights how differences in the game play probably influence whether "hot hand" situations actually come up or not. And I think you are exactly right to distinguish games (like slot machines in casinos) where the player has no direct control over the outcome and "hot hands" demonstrably don't exist from sports like bowling (or most other sports) where the skill and actions of the player do influence the outcome directly. There are also lots of interesting questions about the proper statistical methods to apply to these questions. As you say, the basketball results seem to come down to this: even if shots within actual basketball games behave essentially as though they were close to being independent events from a statistical point of view, there is still a real psychological phenomenon underlying the ways that players, coaches and fans perceive what happens in games. One can argue whether this is a "perception" or a "misperception" in the light of the statistics, but it's real as a pattern in human psychology. We are "wired" to perceive patterns in the events around us and to invent explanations for our experiences based on those perceived patterns. And in the much more consistent and controlled enviroment of bowling, the evidence seems to point in the other direction(!) The only really substantive criticism I have is that I was hoping that all of the projects would involve doing some actual analysis of data. You essentially decided to report the results from the Gilovich, Vallone, and Tversky article and others, plus the bowling data from the Dorsey and Palmeteer paper and others. You presented a really good range of different viewpoints and results. But it would have been possible to do some more original work with things like what GVT discuss on page 311-312 of their article. And that is what the slate.com article by Jordan Ellenberg and the the Miller and Sanjurjo article I pointed out in the final project assignment sheet discusses as well. Specific comments: Page 1: "31 years later, in this paper we will discuss that although historically debated not to be found in sports, the ‘hot hand’ phenomenon is exhibited in Bowling and not in Basketball." This is an awkward sentence because you are trying to cram so much into it: the fact that these questions have raised debates over a long time period (31 years since the GVT paper), the fact that different sports have been considered (bowling vs. basketball), and finally that you are going to concentrate mostly on the new article about bowling. When you find yourself in this situation, try breaking your ideas up into several sentences and introduce the points one at a time(!) Also, since you have mentioned the GVT paper earlier in the paragraph, it would be better to give an explicit reference to the bowling sources you are drawing on at this point as well. Page 1: "This is not a far conceived preconception." Do you mean "far-fetched" or something like that? Page 2: "Therefore there must be no ‘hot hand,’" and later "Gilovich originally disproved the notion of a hot hand in basketball in the 1980’s." Still later on p. 6 "to try and prove the ‘hot hand’ phenomenon." These statements are all too strong. In science, the results of a single experiment are *never* taken as definitive proof of something! Say something like "the data did (or did not) provide evidence to support the 'hot hand' hypothesis." Page 2: The formula for serial correlation looks *really messy* (and almost unreadable, at least within the Google document viewer). I don't know if you were using MS Word to prepare this, but for the future, you may want to look into the *Equation Editor*. That lets you set up formulas like this and insert special characters like a real Greek lower-case "mu" for the mean. The results look much better(!) Pages 2 - 3: I think it might have been better to put the intuitive explanation of serial correlation before the technical discussion of the formula. The example of weather patterns (rain) is a really good way to introduce the idea, and having that to refer to would make it easier to write about the mathematical formula for doing the computation of serial the correlation coefficient. Page 5: "This 2-3% does not seem like significant evidence to reject the null hypothesis." It all depends on how many shots are included (the n). See the class lecture notes on testing for proportions, or Chapter 10 in "Naked Statistics" for the standard error formula used to compare proportions. A 2-3% difference could easily be statistically significant if n is large enough. Whether or not that difference is practically significant is a different question, of course. Page 5: "There seems to be too many external variables like psychological factors even at the free-throw line and controlled experiment level. If a player hits two shots in a row, he will psychologically think that he will make the next one. This cannot be recorded in statistics. Page 6: "Dorsey-Palmateer argues that" The discussion you are quoting is their criticism of why they think the GVT paper "got it wrong" in basketball. You should probably say that to set up the next bit, which explains how bowling is different and possibly a better test of whether the "hot hand" exists or not. Final Project: Annotated Bibliography -- 10/10 Presentation -- 33/35 Paper -- 49/55 Total -- 92/100 (letter: A-)