Examples of cherry-picking in the following topics:
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- Because of the small sample, there is a larger chance that it may be unreliable due to cherry-picked or otherwise non-representative samples of typical cases.
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- In a world with this much data, maintaining objectivity and refraining from cherry-picking to prove one's opinion is a very important skill.
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- Card-stacking, or cherry picking: deliberate action is taken to bias an argument by selective use of facts with opposing evidence being buried or discredited.
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- A buyer often structures the transaction in order to "cherry-pick" the assets that it wants and leaves out the assets and liabilities that it does not.
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- Let's say you have a bag with 20 cherries: 14 sweet and 6 sour.If you pick a cherry at random, what is the probability that it will be sweet?
- There are 20 possible cherries that could be picked, so the number of possible outcomes is 20.
- Of these 20 possible outcomes, 14 are favorable (sweet), so the probability that the cherry will be sweet is $\frac{14}{20}=\frac{7}{10}$.
- It must be assumed that the probability of picking any of the cherries is the same as the probability of picking any other.
- This wouldn't be true if (let us imagine) the sweet cherries are smaller than the sour ones.
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- Throughout the next few sections we consider a data set called run10, which represents all 16,924 runners who finished the 2012 Cherry Blossom 10 mile run in Washington, DC.
- These data are special because they include the results for the entire population of runners who finished the 2012 Cherry Blossom Run.
- Four observations for the run10Samp data set, which represents a simple random sample of 100 runners from the 2012 Cherry Blossom Run.
- Histograms of time and age for the sample Cherry Blossom Run data.
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- We would like to estimate two features of the Cherry Blossom runners using the sample.
- These questions may be informative for planning the Cherry Blossom Run in future years.
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- Three assets (apples, bananas, and cherries) can be thought of as a bowl of fruit.
- In order to calculate the variance of a portfolio of three assets, we need to know that figure for apples, bananas, and cherries, and we also need to know the co-variance of each.
- If bananas do great half of the time when cherries do bad and bananas do terrible the other half, their co-variance is zero.
- Apples may be a substitute for cherries when cherries are expensive.
- The overall risk of the portfolio would take into account three individual variances and three co-variances (apples-bananas, apples-cherries, and bananas-cherries) and it would reduce the overall portfolio to the degree that they are uncorrelated.
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- Thus, if you were not picked on the first question, the probability you are again not picked is 13/14.
- = P(Q1 = not picked, Q2 = not picked, Q3 = not picked. ) = 14/15 × 13/14 × 12/13 = 12/15 = 0.80
- Each pick is independent, and the probability of not being picked for any individual question is 14/15.
- P(not picked in 3 questions) = P(Q1 = not picked, Q2 = not picked, Q3 = not picked. ) = 14/15 × 14/15 × 14/15 = 0.813
- 2.63: The three probabilities we computed were actually one marginal probability, P(Q1=not picked), and two conditional probabilities: P(Q2 = not picked | Q1 = not picked); P(Q3 = not picked | Q1 = not picked, Q2 = not picked) Using the General Multiplication Rule, the product of these three probabilities is the probability of not being picked in 3 questions.
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- We would like to estimate the average difference in run times for men and women using the run10Samp data set, which was a simple random sample of 45 men and 55 women from all runners in the 2012 Cherry Blossom Run.
- Side-by-side box plots for the sample of 2009 Cherry Blossom Run participants.
- Summary statistics for the run time of 100 participants in the2009 Cherry Blossom Run.