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The deck is fair.The deck is not fair. Say, “the deck isn’t fair.” Oops. (false positive) Right! Say, “the deck is fair” Right! Oops. (false negative)

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Presentation on theme: "The deck is fair.The deck is not fair. Say, “the deck isn’t fair.” Oops. (false positive) Right! Say, “the deck is fair” Right! Oops. (false negative)"— Presentation transcript:

1 The deck is fair.The deck is not fair. Say, “the deck isn’t fair.” Oops. (false positive) Right! Say, “the deck is fair” Right! Oops. (false negative) One of these will be true… but you don’t know which one.

2 The deck is fair.The deck is not fair. Say, “the deck isn’t fair.” Oops. (false positive) Right! Say, “the deck is fair” Right! Oops. (false negative) You’ll make one of these claims, based on your observations

3 The deck is fair.The deck is not fair. Say, “the deck isn’t fair.” Oops. (false positive) Right! Say, “the deck is fair” Right! Oops. (false negative)

4 The deck is fair.The deck is not fair. Say, “the deck isn’t fair.” Oops. (false positive) Right! Say, “the deck is fair” Right! Oops. (false negative)

5 The deck is fair.The deck is not fair. Say, “the deck isn’t fair.” Oops. (false positive) Right! Say, “the deck is fair” Right! Oops. (false negative)

6 The deck is fair.The deck is not fair. Say, “the deck isn’t fair.” Oops. (false positive) Right! Say, “the deck is fair” Right! Oops. (false negative) Another way of looking at it… Why are we even HERE?

7 Unbiased Estimators are statistics which accurately target the parameters they aim to target (catch them “on average”).

8 In the interest of time… (10 weeks  time I would like to have)

9 Each individual statistic will most likely be “off” a bit in value from the parameter (“sampling error”)…for example…

10 …so, in MTH 244, we will learn to build “wings” around our statistics to mitigate as much error as possible…

11 …and we will, therefore, learn to do statistics better than approximately 99.99% of that you see in the news…

12 …starting tomorrow.


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