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;








1












$begingroup$


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







share|cite|improve this question











$endgroup$


















    1












    $begingroup$


    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







    share|cite|improve this question











    $endgroup$














      1












      1








      1





      $begingroup$


      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







      share|cite|improve this question











      $endgroup$




      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






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited yesterday









      Richard Hardy

      28.2k642129




      28.2k642129










      asked 2 days ago









      VastingVasting

      305




      305




















          1 Answer
          1






          active

          oldest

          votes


















          4












          $begingroup$


          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 $beta>0$.






          share|cite|improve this answer











          $endgroup$













            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
            );



            );













            draft saved

            draft discarded


















            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









            4












            $begingroup$


            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 $beta>0$.






            share|cite|improve this answer











            $endgroup$

















              4












              $begingroup$


              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 $beta>0$.






              share|cite|improve this answer











              $endgroup$















                4












                4








                4





                $begingroup$


                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 $beta>0$.






                share|cite|improve this answer











                $endgroup$




                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 $beta>0$.







                share|cite|improve this answer














                share|cite|improve this answer



                share|cite|improve this answer








                edited 2 days ago

























                answered 2 days ago









                Tim♦Tim

                60k9133228




                60k9133228



























                    draft saved

                    draft discarded
















































                    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.




                    draft saved


                    draft discarded














                    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





















































                    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
                    -

                    Popular posts from this blog

                    Creating 100m^2 grid automatically using QGIS?Creating grid constrained within polygon in QGIS?Createing polygon layer from point data using QGIS?Creating vector grid using QGIS?Creating grid polygons from coordinates using R or PythonCreating grid from spatio temporal point data?Creating fields in attributes table using other layers using QGISCreate .shp vector grid in QGISQGIS Creating 4km point grid within polygonsCreate a vector grid over a raster layerVector Grid Creates just one grid

                    Image
                    Pattern match does not work in bash script Mage Armor with Defense fighting style (for Adventurers League bladeslinger) LaTeX closing $ signs makes cursor jump String Manipulation Interpreter Can divisibility rules for digits be generalized to sum of digits I'm planning on buying a laser printer but concerned about the life cycle of toner in the machine What is the offset in a seaplane's hull? How can I make my BBEG immortal short of making them a Lich or Vampire? What are the differences between the usage of 'it' and 'they'? The use of multiple foreign keys on same column in SQL Server How did the USSR manage to innovate in an environment characterized by government censorship and high bureaucracy? Is it tax fraud for an individual to declare non-taxable revenue as taxable income? (US tax laws) Why Is Death Allowed In the Matrix? Minkowski space Why are 150k or 200k jobs considered good when there are 300k+ births a month? Why do f...
                    Read more

                    Nikolai Prilezhaev Bibliography References External links Navigation menuEarly Russian Organic Chemists and Their Legacy092774english translationRussian Biography

                    19th-century chemists20th-century chemists1877 births1944 deathsRussian chemists RussianO.S.KopossevoNizhny NovgorodMoscoworganic chemistPrilezhaev ReactionepoxidesalkenesperoxyacidsUniversity of WarsawYegor Yegorovich VagnerGeorg WagnerSt. PetersburgPolytechnic in KievUniversity of MinskBelarusian Academy of SciencesAlexei Nikolaevich Bachname reactionSoviet Academy of Sciences Nikolai Alexandrovich Prilezhaev , Russian: Николай Александрович Прилежаев , (Born 15 [O.S. 1877] 27 [1] in Kopossevo near Nizhny Novgorod, died May 26, 1944 in Moscow) was a Russian organic chemist. The Prilezhaev Reaction between epoxides and alkenes to form peroxyacids is named after him. Prilezhaev was the son of a clergyman and studied chemistry at the Theological Seminary in Warsaw (graduated in 1895) and then at the Univ...
                    Read more

                    How to link a C library to an Assembly library on Mac with clangHow do you set, clear, and toggle a single bit?Find (and kill) process locking port 3000 on MacWho is listening on a given TCP port on Mac OS X?How to start PostgreSQL server on Mac OS X?Compile assembler in nasm on mac osHow do I install pip on macOS or OS X?AFNetworking 2.0 “_NSURLSessionTransferSizeUnknown” linking error on Mac OS X 10.8C++ code for testing the Collatz conjecture faster than hand-written assembly - why?How to link a NASM code and GCC in Mac OS X?How to run x86 .asm on macOS Sierra

                    Image
                    Is there enough fresh water in the world to eradicate the drinking water crisis? What is the term when two people sing in harmony, but they aren't singing the same notes? Is there a problem with hiding "forgot password" until it's needed? Why does this part of the Space Shuttle launch pad seem to be floating in air? Hostile work environment after whistle-blowing on coworker and our boss. What do I do? How to prevent YouTube from showing already watched videos? Is there an Impartial Brexit Deal comparison site? Would it be legal for a US State to ban exports of a natural resource? Can somebody explain Brexit in a few child-proof sentences? Latex for-and in equation Is a naturally all "male" species possible? Is there an wasy way to program in Tikz something like the one in the image? How to deal with or prevent idle in the test team? node command while defining a coordinate in TikZ Simulating a probability of 1 of 2^N with less tha...
                    Read more