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政府統計の総合窓口のデータや、OECDやUCIやのデータを使って、Rの練習をしています。ときどき、読書記録も載せています。

OECD Household disposable income data analysis 7 - Bootstrap using R

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 Photo by Toni Lluch on Unsplash  

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This post is following of above post.
In this post I will do Bootstrap and make confidence inerval of regression.

First, let's check coefficients for static regression model again.

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Intercept is 4.1635, avg_gr_us is -0.8626.

Then, I make a custom function to get intercept.

f:id:cross_hyou:20210821074124p:plain

Next, I replicate 10,000 times to get intercept.

f:id:cross_hyou:20210821074615p:plain


Let's see a histogram of intercept_samples.

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f:id:cross_hyou:20210821075035p:plain

Now, we can get 95% confidence interval and mean.

f:id:cross_hyou:20210821075955p:plain

Our regression model's intercept is 4.1635. So, bootstrap gets very close intercept value.


We can do the same procedure about slope.

f:id:cross_hyou:20210821075758p:plain

I replicate 10,000 times for get_slope().

f:id:cross_hyou:20210821080209p:plain

Let's see a histogram.

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f:id:cross_hyou:20210821080357p:plain

Now, I can get 95% confidence interval and mean value.

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Our regression model's slope is -0.8626. So, bootstrap slope is very close to it.

That's it. Thank you!

To read the fist post,

 

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