CHAPTER 7 Over-Comparing, Under-Reporting Flashcards
(101 cards)
What is the consequence of analysts making numerous comparisons but only reporting statistically significant ones?
There will be lots of false positive results and over-estimates.
What is p-hacking?
A form of nefarious researcher behavior leading to false positives.
What is p-screening?
A situation where entirely honest researchers also contribute to false positives.
What tools do analysts and consumers have to reduce misleading results?
There are some tools at their disposal, though no easy solution exists.
What creature was known for predicting the outcomes of soccer matches?
Paul the Octopus.
How did Paul the Octopus predict match outcomes?
By choosing between two boxes of food marked with the flags of competing countries.
How many predictions did Paul make, and how many did he get right?
Paul made 14 predictions and was correct in 12 of them.
What is the null hypothesis in the context of Paul’s predictions?
That Paul was picking in a completely random fashion.
How can we calculate the probability of Paul guessing correctly?
By calculating the likelihood of getting exactly 12, 13, or 14 correct predictions.
What is the probability of Paul getting at least 12 correct predictions if he was guessing randomly?
Approximately 1 in 155.
What does a p-value represent in hypothesis testing?
The probability of observing an outcome at least as extreme as the one observed if the null hypothesis is true.
What was the adjusted probability of Paul getting 11 or more predictions right if he was predisposed to pick Germany?
About 0.03 or 1 in 33.
Why should we be skeptical of Paul’s predictive abilities?
Because he was primarily predicting games involving Germany, which he favored.
What is the significance of having multiple octopuses making predictions?
It raises the likelihood that at least one would achieve a record similar to Paul’s by chance.
What is the probability that at least one of ten octopuses generates a p-value as good as Paul’s?
About 1 in 4.
Name some other animals that forecasted soccer match winners around the same time as Paul.
- Leon the Porcupine
- Petty the Hippopotamus
- Anton the Tamarin
- Mani the Parakeet
What is the implication of many animals making predictions?
Many could be celebrated for their predictions, even if their success was due to chance.
Fill in the blank: The term for the product of n and every positive whole number less than n is called _______.
factorial.
What is the issue with only reporting statistically significant results?
It leads to publication bias, where the true effects are systematically overestimated
This occurs because only the results that reject the null hypothesis are published.
What does the term ‘publication bias’ refer to?
The phenomenon where only statistically significant results are reported, leading to a distorted understanding of research findings
This bias can occur even when all studies are well-designed.
What is p-hacking?
The practice of manipulating data or statistical tests until a desired p-value is achieved
This can involve tweaking experiments or trying different statistical models.
What is p-screening?
The practice of not publishing studies with p-values above a certain threshold, leading to under-reporting of null results
This can occur even when researchers act honestly.
How does over-comparing contribute to publication bias?
It increases the likelihood of finding statistically significant results purely by chance, which are then reported while null results are ignored
This can happen when numerous hypotheses are tested without proper correction.
True or False: All scientific results are published regardless of their significance.
False
Statistically insignificant results are often not published, leading to biased literature.