This is the series that features statistics and your favourite teams! What a great way to learn math! This week we will analyze a popular quarterback in football right now, Dak Prescott. Whether you support "America's team" or not, you cannot escape the bright young talent that this QB is. Which leads to... Does Dak Prescott do better after a win or a loss?Setting up the problemIn order to find out if he does better following a win than a loss, we need to group together his totals from his eight games. LW WW WW WW This problem will definitely be interesting since there's only eight games to analyze and he's lost only one of them. This chart is very helpful in organizing his wins after each event happened. Hypotheses Remember that null means same ability and alternative means something special happened. Null: Prescott's outcomes of each game was independent whether it was following a win or loss. Alternative: Prescott's outcomes were dependent of the previous game being a win or loss and he was streaky. Simulation Time!We first need to calculate what we put in the table, including his wins after a win in Context 1 and then his win after a loss in Context 2. After getting both percentages in the boxes, we will now subtract the two (Context 1 - Context 2) to get the test statistic. The test statistic helps to determine the p-value which will tell us if he was streaky or not. (P-value > .05, plausible that he is NOT streaky) or (P-vale < .05, plausible that he is streaky). With a .5 test statistic, we will now conduct 300 trials to see where he stands, since the bigger the number, the better! Since we have 60 above .5, our p-value is .02 or 2%! ConclusionIt is plausible that Dak Prescott is dependent on the previous outcome of the game. However, we do not have a large enough sample size to fully conclude that Prescott is streaky. We will need to see more games to test this situation. Thanks for playing along and I hope this was interesting!
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AuthorHi, I'm Jenna and I'm a sports fan! I've been avidly watching sports since 2011 because I found that by watching sports, I would be able to communicate with my dad and brother better. Ever since I got into sports, I've been able to enjoy myself more when I go to sporting events with my family. Archives
December 2017
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