🎥 Watch Bootstrapping
Optional: 📖 Read IMS: Chapter 12 - Confidence Intervals With Bootstrapping
infer (part of tidymodels) to obtain a bootstrap distributionIt is extremely hard to hit the exact population parameter with a single value (a.k.a. point estimate or sample statistic) from a sample.
We would have a better chance with a range of plausible values for the population parameter.
It is extremely hard to hit the exact population parameter with a single value (a.k.a. point estimate or sample statistic) from a sample.
We would have a better chance with a range of plausible values for the population parameter.
One statistic from one sample... then we need multiple samples to obtain multiple statistics.
It is extremely hard to hit the exact population parameter with a single value (a.k.a. point estimate or sample statistic) from a sample.
We would have a better chance with a range of plausible values for the population parameter.
One statistic from one sample... then we need multiple samples to obtain multiple statistics.
Uh oh, getting multiple samples is generally expensive and time-consuming. If it was so easy, we would simply collect data from every unit in the population.
It is extremely hard to hit the exact population parameter with a single value (a.k.a. point estimate or sample statistic) from a sample.
We would have a better chance with a range of plausible values for the population parameter.
One statistic from one sample... then we need multiple samples to obtain multiple statistics.
Uh oh, getting multiple samples is generally expensive and time-consuming. If it was so easy, we would simply collect data from every unit in the population.
We just have to make the best of it! With the sample at hand, let's pretend that we have multiple samples!! ⇒ Bootstrapping is a resampling technique.
Q - Correct the following sentences.
🆘 A bootstrap sample is taken without replacement from the original sample.
Q - Correct the following sentences.
🆘 A bootstrap sample is taken without replacement from the original sample.
✅ A bootstrap sample is taken with replacement from the original sample.
Q - Correct the following sentences.
🆘 A bootstrap sample is taken without replacement from the original sample.
✅ A bootstrap sample is taken with replacement from the original sample.
🆘 A researcher chooses a bootstrap sample size.
Q - Correct the following sentences.
🆘 A bootstrap sample is taken without replacement from the original sample.
✅ A bootstrap sample is taken with replacement from the original sample.
🆘 A researcher chooses a bootstrap sample size.
✅ A bootstrap sample should be of the same size as the original sample.
Q - Correct the following sentences.
🚨 A bootstrap distribution is a distribution of resampled data.
Q - Correct the following sentences.
🚨 A bootstrap distribution is a distribution of resampled data.
✅ A bootstrap distribution is a distribution of bootstrap statistics.
Q - Correct the following sentences.
🚨 A bootstrap distribution is a distribution of resampled data.
✅ A bootstrap distribution is a distribution of bootstrap statistics.
🚨 Calculate the bounds of the XX% confidence interval as the shortest interval with XX% of the bootstrap distribution.
Q - Correct the following sentences.
🚨 A bootstrap distribution is a distribution of resampled data.
✅ A bootstrap distribution is a distribution of bootstrap statistics.
🚨 Calculate the bounds of the XX% confidence interval as the shortest interval with XX% of the bootstrap distribution.
✅ Calculate the bounds of the XX% confidence interval as the middle XX% of the bootstrap distribution.
Q - Correct the following sentences.
🚨 Bootstrapping can be used for mean and median, but not for standard deviation.
Q - Correct the following sentences.
🚨 Bootstrapping can be used for mean and median, but not for standard deviation.
✅ Bootstrapping can be used for any sample statistic.
Q - Correct the following sentences.
🚨 Bootstrapping can be used for mean and median, but not for standard deviation.
✅ Bootstrapping can be used for any sample statistic.
🆘 The length of a confidence interval has nothing to do with its confidence level.
Q - Correct the following sentences.
🚨 Bootstrapping can be used for mean and median, but not for standard deviation.
✅ Bootstrapping can be used for any sample statistic.
🆘 The length of a confidence interval has nothing to do with its confidence level.
✅ The lower the confidence level, the narrower the interval.
Q - Correct the following sentences.
🆘 Bootstrapping can improve statistical inference based on a bad sample.
Q - Correct the following sentences.
🆘 Bootstrapping can improve statistical inference based on a bad sample.
✅ Bootstrapping is meaningless if the original sample is not representative because your bootstrap distribution will be centered around the original sample statistic.
The 95% confidence interval for the mean price per guest per night among Airbnb rentals (with at least ten reviews) in Asheville was ($64, $90).
Q - What is the correct interpretation for this interval?
a. There is a 95% probability the mean price per night for an Airbnb in Asheville is between $64 and $90.
b. There is a 95% probability the price per night for an Airbnb in Asheville is between $64 and $90.
c. We are 95% confident the mean price per night for Airbnbs in Asheville in our sample is between $64 and $90.
d. We are 95% confident the mean price per night for all Airbnbs in Asheville is between $64 and $90.
The 95% confidence interval for the mean price per guest per night among Airbnb rentals (with at least ten reviews) in Asheville was ($64, $90).
Q - What is the correct interpretation for this interval?
a. There is a 95% probability the mean price per night for an Airbnb in Asheville is between $64 and $90.
b. There is a 95% probability the price per night for an Airbnb in Asheville is between $64 and $90.
c. We are 95% confident the mean price per night for Airbnbs in Asheville in our sample is between $64 and $90.
d. We are 95% confident the mean price per night for all Airbnbs in Asheville is between $64 and $90.
a. "There is a 95% probability"
b. "the price per night for an Airbnb in Asheville"
c. "in our sample"
Q - What does it mean that "we are 95% confident"?
Watch videos for Prepare: June 2
Project proposal due Friday, June 3 at 11:59pm
HW03 released
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🎥 Watch Bootstrapping
Optional: 📖 Read IMS: Chapter 12 - Confidence Intervals With Bootstrapping
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