https://docs.google.com/spreadsheets/d/1COfqBiY0Aca61bOk6dvhwg3bWZ6-f2PA4j6lhzA3CYg/edit?usp=sharing You will be analyzing data from 2011 NBA (National Basketball Association), Game 5 of the Spurs-Grizzlies Series. Please download the CSV data file Basketball.csv and open it in Jamovi. This data has recorded every time a player from either team made a 2 or 3 point shot, with the team the player was on, what type of shot was made, and if the shot went in the basket or missed. Click "Frequencies", then "Independent samples" under "Contingency tables" and the make the rows "Team" and the columns "Outcome". Now add "Type of shots" to "Layers". This will create three contingency tables: one for each type of shot, and one for both types combined. Use the table to answer the following. Round to 3 decimal places. 1. (a) What probability that a player from the Grizzlies makes their shot (the ball goes in the basket)? P(In|Grizzlies) = 1 (b). What probability that a player from the Spurs makes their shot (the ball goes in the basket)? P(In|Spurs) = 1 (c). Which team has a higher accuracy when taking shots? Now, select "Type of shot" and move it to the "Layers" box. This will split the analysis by type of shot. Looking only at 2 Point shots... 2 (a). P(In|Grizzlies) = 2 (b). P(In|Spurs) = 3. Based on your previous answers, which of the following statements is true? Responses The Grizzlies and Spurs were equally accurate at all types of shots. The Grizzlies had a higher accuracy overall and they were more accurate than the Spurs at both 2 point and 3 point shots. The Grizzlies had a higher accuracy overall, but they were less accurate than the Spurs at both 2 point and 3 point shots. The Spurs had a higher accuracy overall and they were more accurate than the Grizzlies at both 2 point and 3 point shots. Looking only at 3 Point shots. 2 (c). P(In|Grizzlies) = 2 (d). P(In|Spurs) = Looking at the overall probabilities of making shots, it appears that the Grizzlies have higher accuracy. However, looking at the conditional probabilities, we see a different story. This is an example of Simpson's Paradox! Let's see how this contradiction happened. 6 (a). Looking at the above probabilities, in general, which type of shot has a lower accuracy? 6 (b). Using the totals from the previous tables: Which team took more 2 point shots? 6 (c) Which team took more 3 point shots? Take a minute to think about how this caused the paradox!
https://docs.google.com/spreadsheets/d/1COfqBiY0Aca61bOk6dvhwg3bWZ6-f2PA4j6lhzA3CYg/edit?usp=sharing
You will be analyzing data from 2011 NBA (National Basketball Association), Game 5 of the Spurs-Grizzlies Series. Please download the CSV data file Basketball.csv and open it in Jamovi.
This data has recorded every time a player from either team made a 2 or 3 point shot, with the team the player was on, what type of shot was made, and if the shot went in the basket or missed.
Click "Frequencies", then "Independent samples" under "Contingency tables" and the make the rows "Team" and the columns "Outcome". Now add "Type of shots" to "Layers". This will create three contingency tables: one for each type of shot, and one for both types combined.
Use the table to answer the following. Round to 3 decimal places.
1. (a) What probability that a player from the Grizzlies makes their shot (the ball goes in the basket)?
P(In|Grizzlies) =
1 (b). What probability that a player from the Spurs makes their shot (the ball goes in the basket)?
P(In|Spurs) =
1 (c). Which team has a higher accuracy when taking shots?
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The Grizzlies and Spurs were equally accurate at all types of shots.
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The Grizzlies had a higher accuracy overall and they were more accurate than the Spurs at both 2 point and 3 point shots.
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The Grizzlies had a higher accuracy overall, but they were less accurate than the Spurs at both 2 point and 3 point shots.
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The Spurs had a higher accuracy overall and they were more accurate than the Grizzlies at both 2 point and 3 point shots.
Looking at the overall probabilities of making shots, it appears that the Grizzlies have higher accuracy. However, looking at the conditional probabilities, we see a different story.
This is an example of Simpson's Paradox! Let's see how this contradiction happened.
6 (a). Looking at the above probabilities, in general, which type of shot has a lower accuracy?
6 (b). Using the totals from the previous tables: Which team took more 2 point shots?
6 (c) Which team took more 3 point shots?
Take a minute to think about how this caused the paradox!
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