Does bootstrapped regression allow for inference? The 2019 Stack Overflow Developer Survey Results Are InObtaining and interpreting bootstrapped confidence intervals from hierarchical dataDistribution of reciprocal of regression coefficientHow to determine if predictor in piece-wise linear regression is significant?Non-technical conditions for validity of nonparametric bootstrap confidence intervalsBootstrapped coefficients for ordinal logistic regression with Rbootstrapped standard error to make inference about difference of meansBootstrapping multivariate multiple variable regressionFor a Fisher Information matrix $I(theta)$ of multiple variables, is it true that $I(theta) = nI_1(theta)$?Bootstrapping to measure the significance of the skewnessBootstrapped confidence interval for the difference in means for paired data
How to check whether the reindex working or not in Magento?
Why didn't the Event Horizon Telescope team mention Sagittarius A*?
Can a flute soloist sit?
Did 3000BC Egyptians use meteoric iron weapons?
Where to refill my bottle in India?
Did Section 31 appear in Star Trek: The Next Generation?
Is flight data recorder erased after every flight?
Interpreting the 2019 New York Reproductive Health Act?
What is the motivation for a law requiring 2 parties to consent for recording a conversation
Output the Arecibo Message
Button changing it's text & action. Good or terrible?
What is the most effective way of iterating a std::vector and why?
A poker game description that does not feel gimmicky
Looking for Correct Greek Translation for Heraclitus
Origin of "cooter" meaning "vagina"
What is the closest word meaning "respect for time / mindful"
Why not take a picture of a closer black hole?
Can we generate random numbers using irrational numbers like π and e?
"as much details as you can remember"
What is the meaning of the verb "bear" in this context?
If I score a critical hit on an 18 or higher, what are my chances of getting a critical hit if I roll 3d20?
Feature engineering suggestion required
Is this app Icon Browser Safe/Legit?
How to type this arrow in math mode?
Does bootstrapped regression allow for inference?
The 2019 Stack Overflow Developer Survey Results Are InObtaining and interpreting bootstrapped confidence intervals from hierarchical dataDistribution of reciprocal of regression coefficientHow to determine if predictor in piece-wise linear regression is significant?Non-technical conditions for validity of nonparametric bootstrap confidence intervalsBootstrapped coefficients for ordinal logistic regression with Rbootstrapped standard error to make inference about difference of meansBootstrapping multivariate multiple variable regressionFor a Fisher Information matrix $I(theta)$ of multiple variables, is it true that $I(theta) = nI_1(theta)$?Bootstrapping to measure the significance of the skewnessBootstrapped confidence interval for the difference in means for paired data
.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;
$begingroup$
Assuming a linear model of
$$ y = beta_0+beta_1x+epsilon $$
I can construct a bootstrapped confidence interval for the estimate of $beta_1$ by sampling with replacement from all of the $(x_i, y_i)$ pairs from the data.
Is it possible for me to tell if the value of $beta_1$ is significant, without preforming a t-test the data? Or is the bootstrap used more less for inference but more for trying to find the most accurate predictor in this case?
statistical-significance inference bootstrap
edited yesterday
Richard Hardy
28.2k642129
asked 2 days ago
VastingVasting
305
$endgroup$
add a comment |
$begingroup$
Assuming a linear model of
$$ y = beta_0+beta_1x+epsilon $$
I can construct a bootstrapped confidence interval for the estimate of $beta_1$ by sampling with replacement from all of the $(x_i, y_i)$ pairs from the data.
Is it possible for me to tell if the value of $beta_1$ is significant, without preforming a t-test the data? Or is the bootstrap used more less for inference but more for trying to find the most accurate predictor in this case?
statistical-significance inference bootstrap
edited yesterday
Richard Hardy
28.2k642129
asked 2 days ago
VastingVasting
305
$endgroup$
add a comment |
$begingroup$
Assuming a linear model of
$$ y = beta_0+beta_1x+epsilon $$
I can construct a bootstrapped confidence interval for the estimate of $beta_1$ by sampling with replacement from all of the $(x_i, y_i)$ pairs from the data.
Is it possible for me to tell if the value of $beta_1$ is significant, without preforming a t-test the data? Or is the bootstrap used more less for inference but more for trying to find the most accurate predictor in this case?
statistical-significance inference bootstrap
edited yesterday
Richard Hardy
28.2k642129
asked 2 days ago
VastingVasting
305
$endgroup$
Assuming a linear model of
$$ y = beta_0+beta_1x+epsilon $$
I can construct a bootstrapped confidence interval for the estimate of $beta_1$ by sampling with replacement from all of the $(x_i, y_i)$ pairs from the data.
Is it possible for me to tell if the value of $beta_1$ is significant, without preforming a t-test the data? Or is the bootstrap used more less for inference but more for trying to find the most accurate predictor in this case?
statistical-significance inference bootstrap
statistical-significance inference bootstrap
edited yesterday
Richard Hardy
28.2k642129
asked 2 days ago
VastingVasting
305
edited yesterday
Richard Hardy
28.2k642129
asked 2 days ago
VastingVasting
305
edited yesterday
Richard Hardy
28.2k642129
edited yesterday
Richard Hardy
28.2k642129
edited yesterday
Richard Hardy
28.2k642129
28.2k642129
asked 2 days ago
VastingVasting
305
asked 2 days ago
VastingVasting
305
asked 2 days ago
VastingVasting
305
305
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
Is it possible for me to tell if the value of $beta_1$ is
significant, without preforming a t-test the data?
Yes. You could use bootstrap to calculate confidence intervals. Another thing that you could do, is you could take many bootstrap samples from your data, then calculate regression parameters for each of the samples and check how often the parameters calculated on bootstrap samples are greater then zero, where the empirical fraction from bootstrap samples would be equivalent of testing that $beta>0$.
answered 2 days ago
Tim♦Tim
60k9133228
$endgroup$
add a comment |
Your Answer
StackExchange.ifUsing("editor", function ()
return StackExchange.using("mathjaxEditing", function ()
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
);
);
, "mathjax-editing");
StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "65"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);
else
createEditor();
);
function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);
);
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fstats.stackexchange.com%2fquestions%2f401911%2fdoes-bootstrapped-regression-allow-for-inference%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Is it possible for me to tell if the value of $beta_1$ is
significant, without preforming a t-test the data?
Yes. You could use bootstrap to calculate confidence intervals. Another thing that you could do, is you could take many bootstrap samples from your data, then calculate regression parameters for each of the samples and check how often the parameters calculated on bootstrap samples are greater then zero, where the empirical fraction from bootstrap samples would be equivalent of testing that $beta>0$.
answered 2 days ago
Tim♦Tim
60k9133228
$endgroup$
add a comment |
$begingroup$
Is it possible for me to tell if the value of $beta_1$ is
significant, without preforming a t-test the data?
Yes. You could use bootstrap to calculate confidence intervals. Another thing that you could do, is you could take many bootstrap samples from your data, then calculate regression parameters for each of the samples and check how often the parameters calculated on bootstrap samples are greater then zero, where the empirical fraction from bootstrap samples would be equivalent of testing that $beta>0$.
answered 2 days ago
Tim♦Tim
60k9133228
$endgroup$
add a comment |
$begingroup$
Is it possible for me to tell if the value of $beta_1$ is
significant, without preforming a t-test the data?
Yes. You could use bootstrap to calculate confidence intervals. Another thing that you could do, is you could take many bootstrap samples from your data, then calculate regression parameters for each of the samples and check how often the parameters calculated on bootstrap samples are greater then zero, where the empirical fraction from bootstrap samples would be equivalent of testing that $beta>0$.
answered 2 days ago
Tim♦Tim
60k9133228
$endgroup$
Is it possible for me to tell if the value of $beta_1$ is
significant, without preforming a t-test the data?
Yes. You could use bootstrap to calculate confidence intervals. Another thing that you could do, is you could take many bootstrap samples from your data, then calculate regression parameters for each of the samples and check how often the parameters calculated on bootstrap samples are greater then zero, where the empirical fraction from bootstrap samples would be equivalent of testing that $beta>0$.
answered 2 days ago
Tim♦Tim
60k9133228
edited 2 days ago
answered 2 days ago
Tim♦Tim
60k9133228
answered 2 days ago
Tim♦Tim
60k9133228
answered 2 days ago
Tim♦Tim
60k9133228
60k9133228
add a comment |
add a comment |
Thanks for contributing an answer to Cross Validated!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fstats.stackexchange.com%2fquestions%2f401911%2fdoes-bootstrapped-regression-allow-for-inference%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
-bootstrap, inference, statistical-significance
