⒈ Orlando Magic Research Paper
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What about a streak length of 0? How many hits and misses are in a streak of 0? A A miss followed by a miss. Note that instead of making a histogram, we chose to make a bar plot from a table of the streak data. A bar plot is preferable here since our variable is discrete — counts — instead of continuous. What can we compare them to? If each shot that a player takes is an independent process, having made or missed your first shot will not affect the probability that you will make or miss your second shot. A shooter with a hot hand will have shots that are not independent of one another.
Specifically, if the shooter makes his first shot, the hot hand model says he will have a higher probability of making his second shot. During his career, the percentage of time Kobe makes a basket i. Compare this to the skeptical perspective where Kobe does not have a hot hand, where each shot is independent of the next. If he hit his first shot, the probability that he makes the second is still 0. We can compare his streak lengths to someone without hot hands: an independent shooter. In a simulation, you set the ground rules of a random process and then the computer uses random numbers to generate an outcome that adheres to those rules. As a simple example, you can simulate flipping a fair coin with the following. The function sample draws one slip from the hat and tells us if it was a head or a tail.
Run the second command listed above several times. Whenever you run simulations in R, it is necessary to set a random seed. This makes sure that every time you compile your markdown, your simulations results will be the same. Choose your birthday, or some other number of your choice, as the random seed by inserting that number in the place of the number in the command below. To view the results of this simulation, type the name of the object and then use table to count up the number of heads and tails.
We can adjust for this by adding an argument called prob , which provides a vector of two probability weights. When we simulated the fair coin, both slips of paper were the same size. If you want to learn more about sample or any other function, recall that you can always check out its help file. Simulating a basketball player who has independent shots uses the same mechanism that we use to simulate a coin flip. To make a valid comparison between Kobe and our simulated independent shooter, we need to align both their shooting percentages and their numbers of attempted shots. We know that our simulated data is from a shooter that has independent shots. That is, we know the simulated shooter does not have a hot hand.
If you were to run the simulation of the independent shooter a second time, how would you expect its streak distribution to compare to the distribution from the question above? A They are the exact same distribution. B They are fairly similar to each other. C They are completely different distributions with no similar characteristics. LibriVox volunteers narrate, proof listen, and upload chapters of books and other textual works in the public domain. These projects are then made available on the Internet for everyone to enjoy, for free. There are many, many things you can do to help, so please feel free to jump into the Forum and ask what you can do to help! See also: How LibriVox Works.
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