How to interpreting the exponential coefficent in poisson regression with offset? Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern) 2019 Moderator Election Q&A - Questionnaire 2019 Community Moderator Election ResultsStochastic gradient descent in logistic regressionpredict with Multinomial Logistic RegressionLinear regression with non-symmetric cost function?Do logistic regression and softmax regression do the same thing?Logistic regression with high cardinality categorical variableInterpreting lasso logistic regression feature coefficients in multiclass problemLogistic Regression with TensorflowLogistic regression in pythonHow do we solve this logistic regression question?Deriving new continuous variable out of logistic regression coefficients

Single author papers against my advisor's will?

Estimate capacitor parameters

Autumning in love

The following signatures were invalid: EXPKEYSIG 1397BC53640DB551

How does modal jazz use chord progressions?

I'm having difficulty getting my players to do stuff in a sandbox campaign

Is there a documented rationale why the House Ways and Means chairman can demand tax info?

Need a suitable toxic chemical for a murder plot in my novel

Can a zero nonce be safely used with AES-GCM if the key is random and never used again?

Area of a 2D convex hull

How do I keep my slimes from escaping their pens?

Unable to start mainnet node docker container

Antler Helmet: Can it work?

Stars Make Stars

Typsetting diagram chases (with TikZ?)

When is phishing education going too far?

What was the last x86 CPU that did not have the x87 floating-point unit built in?

Who can trigger ship-wide alerts in Star Trek?

Can I add database to AWS RDS MySQL without creating new instance?

Why is there no army of Iron-Mans in the MCU?

What do you call a plan that's an alternative plan in case your initial plan fails?

Complexity of many constant time steps with occasional logarithmic steps

Why does tar appear to skip file contents when output file is /dev/null?

New Order #5: where Fibonacci and Beatty meet at Wythoff



How to interpreting the exponential coefficent in poisson regression with offset?



Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)
2019 Moderator Election Q&A - Questionnaire
2019 Community Moderator Election ResultsStochastic gradient descent in logistic regressionpredict with Multinomial Logistic RegressionLinear regression with non-symmetric cost function?Do logistic regression and softmax regression do the same thing?Logistic regression with high cardinality categorical variableInterpreting lasso logistic regression feature coefficients in multiclass problemLogistic Regression with TensorflowLogistic regression in pythonHow do we solve this logistic regression question?Deriving new continuous variable out of logistic regression coefficients










0












$begingroup$


I am trying to find the village level risk factors for malaria. Therefore, I ran a poisson model in r with the prevalence of malaria(y) as dependent variable, altitude(x1) and Forestation(x2) as independent variable and log of Population(x3) as offset.



glmer(y~x1+x2+(1|cluster), family = poisson, offset = log(x3))


From what I have read, I understand that the interpretation of model with offset is different than a non-offset model.



It would be very helpful, If any one can clear the air on how to interpret the coefficients and exponential coefficient in the above-mentioned case.



Thanks










share|improve this question







New contributor




Mrinal9 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$
















    0












    $begingroup$


    I am trying to find the village level risk factors for malaria. Therefore, I ran a poisson model in r with the prevalence of malaria(y) as dependent variable, altitude(x1) and Forestation(x2) as independent variable and log of Population(x3) as offset.



    glmer(y~x1+x2+(1|cluster), family = poisson, offset = log(x3))


    From what I have read, I understand that the interpretation of model with offset is different than a non-offset model.



    It would be very helpful, If any one can clear the air on how to interpret the coefficients and exponential coefficient in the above-mentioned case.



    Thanks










    share|improve this question







    New contributor




    Mrinal9 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.







    $endgroup$














      0












      0








      0





      $begingroup$


      I am trying to find the village level risk factors for malaria. Therefore, I ran a poisson model in r with the prevalence of malaria(y) as dependent variable, altitude(x1) and Forestation(x2) as independent variable and log of Population(x3) as offset.



      glmer(y~x1+x2+(1|cluster), family = poisson, offset = log(x3))


      From what I have read, I understand that the interpretation of model with offset is different than a non-offset model.



      It would be very helpful, If any one can clear the air on how to interpret the coefficients and exponential coefficient in the above-mentioned case.



      Thanks










      share|improve this question







      New contributor




      Mrinal9 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.







      $endgroup$




      I am trying to find the village level risk factors for malaria. Therefore, I ran a poisson model in r with the prevalence of malaria(y) as dependent variable, altitude(x1) and Forestation(x2) as independent variable and log of Population(x3) as offset.



      glmer(y~x1+x2+(1|cluster), family = poisson, offset = log(x3))


      From what I have read, I understand that the interpretation of model with offset is different than a non-offset model.



      It would be very helpful, If any one can clear the air on how to interpret the coefficients and exponential coefficient in the above-mentioned case.



      Thanks







      logistic-regression






      share|improve this question







      New contributor




      Mrinal9 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      share|improve this question







      New contributor




      Mrinal9 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      share|improve this question




      share|improve this question






      New contributor




      Mrinal9 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      asked 14 mins ago









      Mrinal9Mrinal9

      1




      1




      New contributor




      Mrinal9 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.





      New contributor





      Mrinal9 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






      Mrinal9 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.




















          1 Answer
          1






          active

          oldest

          votes


















          0












          $begingroup$

          The offset means "exposure", so when you are calculating a regression with offset, instead of calculating absolute values, you are calculating ratios.



          You are changing "number of thefts" for "number of thefts for every 10.000 vehicles"



          $y = x1+x2+(1|cluster) + log(x_3)$: This is the equation you are calculating.



          I think you are missing a log in $y$ because the offset and the endogenous variable have to form a ratio:



          $log(y) = x1 + x2+(1|cluster)+log(x_3)$



          $log(y)-log(x_3) = x1 + x2+(1|cluster)$



          $log(fracyx_3) = x1 + x2+(1|cluster)$



          $log(ratio) = x1 + x2+(1|cluster)$





          share








          New contributor




          Juan Esteban de la Calle is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
          Check out our Code of Conduct.






          $endgroup$













            Your Answer








            StackExchange.ready(function()
            var channelOptions =
            tags: "".split(" "),
            id: "557"
            ;
            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
            );



            );






            Mrinal9 is a new contributor. Be nice, and check out our Code of Conduct.









            draft saved

            draft discarded


















            StackExchange.ready(
            function ()
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fdatascience.stackexchange.com%2fquestions%2f49304%2fhow-to-interpreting-the-exponential-coefficent-in-poisson-regression-with-offset%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









            0












            $begingroup$

            The offset means "exposure", so when you are calculating a regression with offset, instead of calculating absolute values, you are calculating ratios.



            You are changing "number of thefts" for "number of thefts for every 10.000 vehicles"



            $y = x1+x2+(1|cluster) + log(x_3)$: This is the equation you are calculating.



            I think you are missing a log in $y$ because the offset and the endogenous variable have to form a ratio:



            $log(y) = x1 + x2+(1|cluster)+log(x_3)$



            $log(y)-log(x_3) = x1 + x2+(1|cluster)$



            $log(fracyx_3) = x1 + x2+(1|cluster)$



            $log(ratio) = x1 + x2+(1|cluster)$





            share








            New contributor




            Juan Esteban de la Calle is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
            Check out our Code of Conduct.






            $endgroup$

















              0












              $begingroup$

              The offset means "exposure", so when you are calculating a regression with offset, instead of calculating absolute values, you are calculating ratios.



              You are changing "number of thefts" for "number of thefts for every 10.000 vehicles"



              $y = x1+x2+(1|cluster) + log(x_3)$: This is the equation you are calculating.



              I think you are missing a log in $y$ because the offset and the endogenous variable have to form a ratio:



              $log(y) = x1 + x2+(1|cluster)+log(x_3)$



              $log(y)-log(x_3) = x1 + x2+(1|cluster)$



              $log(fracyx_3) = x1 + x2+(1|cluster)$



              $log(ratio) = x1 + x2+(1|cluster)$





              share








              New contributor




              Juan Esteban de la Calle is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
              Check out our Code of Conduct.






              $endgroup$















                0












                0








                0





                $begingroup$

                The offset means "exposure", so when you are calculating a regression with offset, instead of calculating absolute values, you are calculating ratios.



                You are changing "number of thefts" for "number of thefts for every 10.000 vehicles"



                $y = x1+x2+(1|cluster) + log(x_3)$: This is the equation you are calculating.



                I think you are missing a log in $y$ because the offset and the endogenous variable have to form a ratio:



                $log(y) = x1 + x2+(1|cluster)+log(x_3)$



                $log(y)-log(x_3) = x1 + x2+(1|cluster)$



                $log(fracyx_3) = x1 + x2+(1|cluster)$



                $log(ratio) = x1 + x2+(1|cluster)$





                share








                New contributor




                Juan Esteban de la Calle is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                Check out our Code of Conduct.






                $endgroup$



                The offset means "exposure", so when you are calculating a regression with offset, instead of calculating absolute values, you are calculating ratios.



                You are changing "number of thefts" for "number of thefts for every 10.000 vehicles"



                $y = x1+x2+(1|cluster) + log(x_3)$: This is the equation you are calculating.



                I think you are missing a log in $y$ because the offset and the endogenous variable have to form a ratio:



                $log(y) = x1 + x2+(1|cluster)+log(x_3)$



                $log(y)-log(x_3) = x1 + x2+(1|cluster)$



                $log(fracyx_3) = x1 + x2+(1|cluster)$



                $log(ratio) = x1 + x2+(1|cluster)$






                share








                New contributor




                Juan Esteban de la Calle is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                Check out our Code of Conduct.








                share


                share






                New contributor




                Juan Esteban de la Calle is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                Check out our Code of Conduct.









                answered 6 mins ago









                Juan Esteban de la CalleJuan Esteban de la Calle

                11810




                11810




                New contributor




                Juan Esteban de la Calle is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                Check out our Code of Conduct.





                New contributor





                Juan Esteban de la Calle is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                Check out our Code of Conduct.






                Juan Esteban de la Calle is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                Check out our Code of Conduct.




















                    Mrinal9 is a new contributor. Be nice, and check out our Code of Conduct.









                    draft saved

                    draft discarded


















                    Mrinal9 is a new contributor. Be nice, and check out our Code of Conduct.












                    Mrinal9 is a new contributor. Be nice, and check out our Code of Conduct.











                    Mrinal9 is a new contributor. Be nice, and check out our Code of Conduct.














                    Thanks for contributing an answer to Data Science Stack Exchange!


                    • 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%2fdatascience.stackexchange.com%2fquestions%2f49304%2fhow-to-interpreting-the-exponential-coefficent-in-poisson-regression-with-offset%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







                    Popular posts from this blog

                    Францішак Багушэвіч Змест Сям'я | Біяграфія | Творчасць | Мова Багушэвіча | Ацэнкі дзейнасці | Цікавыя факты | Спадчына | Выбраная бібліяграфія | Ушанаванне памяці | У філатэліі | Зноскі | Літаратура | Спасылкі | НавігацыяЛяхоўскі У. Рупіўся дзеля Бога і людзей: Жыццёвы шлях Лявона Вітан-Дубейкаўскага // Вольскі і Памідораў з песняй пра немца Адвакат, паэт, народны заступнік Ашмянскі веснікВ Минске появится площадь Богушевича и улица Сырокомли, Белорусская деловая газета, 19 июля 2001 г.Айцец беларускай нацыянальнай ідэі паўстаў у бронзе Сяргей Аляксандравіч Адашкевіч (1918, Мінск). 80-я гады. Бюст «Францішак Багушэвіч».Яўген Мікалаевіч Ціхановіч. «Партрэт Францішка Багушэвіча»Мікола Мікалаевіч Купава. «Партрэт зачынальніка новай беларускай літаратуры Францішка Багушэвіча»Уладзімір Іванавіч Мелехаў. На помніку «Змагарам за родную мову» Барэльеф «Францішак Багушэвіч»Памяць пра Багушэвіча на Віленшчыне Страчаная сталіца. Беларускія шыльды на вуліцах Вільні«Krynica». Ideologia i przywódcy białoruskiego katolicyzmuФранцішак БагушэвічТворы на knihi.comТворы Францішка Багушэвіча на bellib.byСодаль Уладзімір. Францішак Багушэвіч на Лідчыне;Луцкевіч Антон. Жыцьцё і творчасьць Фр. Багушэвіча ў успамінах ягоных сучасьнікаў // Запісы Беларускага Навуковага таварыства. Вільня, 1938. Сшытак 1. С. 16-34.Большая российская1188761710000 0000 5537 633Xn9209310021619551927869394п

                    Беларусь Змест Назва Гісторыя Геаграфія Сімволіка Дзяржаўны лад Палітычныя партыі Міжнароднае становішча і знешняя палітыка Адміністрацыйны падзел Насельніцтва Эканоміка Культура і грамадства Сацыяльная сфера Узброеныя сілы Заўвагі Літаратура Спасылкі НавігацыяHGЯOiТоп-2011 г. (па версіі ej.by)Топ-2013 г. (па версіі ej.by)Топ-2016 г. (па версіі ej.by)Топ-2017 г. (па версіі ej.by)Нацыянальны статыстычны камітэт Рэспублікі БеларусьШчыльнасць насельніцтва па краінахhttp://naviny.by/rubrics/society/2011/09/16/ic_articles_116_175144/А. Калечыц, У. Ксяндзоў. Спробы засялення краю неандэртальскім чалавекам.І ў Менску былі мамантыА. Калечыц, У. Ксяндзоў. Старажытны каменны век (палеаліт). Першапачатковае засяленне тэрыторыіГ. Штыхаў. Балты і славяне ў VI—VIII стст.М. Клімаў. Полацкае княства ў IX—XI стст.Г. Штыхаў, В. Ляўко. Палітычная гісторыя Полацкай зямліГ. Штыхаў. Дзяржаўны лад у землях-княствахГ. Штыхаў. Дзяржаўны лад у землях-княствахБеларускія землі ў складзе Вялікага Княства ЛітоўскагаЛюблінская унія 1569 г."The Early Stages of Independence"Zapomniane prawdy25 гадоў таму было аб'яўлена, што Язэп Пілсудскі — беларус (фота)Наша вадаДакументы ЧАЭС: Забруджванне тэрыторыі Беларусі « ЧАЭС Зона адчужэнняСведения о политических партиях, зарегистрированных в Республике Беларусь // Министерство юстиции Республики БеларусьСтатыстычны бюлетэнь „Полаўзроставая структура насельніцтва Рэспублікі Беларусь на 1 студзеня 2012 года і сярэднегадовая колькасць насельніцтва за 2011 год“Индекс человеческого развития Беларуси — не было бы нижеБеларусь занимает первое место в СНГ по индексу развития с учетом гендерного факцёраНацыянальны статыстычны камітэт Рэспублікі БеларусьКанстытуцыя РБ. Артыкул 17Трансфармацыйныя задачы БеларусіВыйсце з крызісу — далейшае рэфармаванне Беларускі рубель — сусветны лідар па дэвальвацыяхПра змену коштаў у кастрычніку 2011 г.Бядней за беларусаў у СНД толькі таджыкіСярэдні заробак у верасні дасягнуў 2,26 мільёна рублёўЭканомікаГаласуем за ТОП-100 беларускай прозыСучасныя беларускія мастакіАрхитектура Беларуси BELARUS.BYА. Каханоўскі. Культура Беларусі ўсярэдзіне XVII—XVIII ст.Анталогія беларускай народнай песні, гуказапісы спеваўБеларускія Музычныя IнструментыБеларускі рок, які мы страцілі. Топ-10 гуртоў«Мясцовы час» — нязгаслая легенда беларускай рок-музыкіСЯРГЕЙ БУДКІН. МЫ НЯ ЗНАЕМ СВАЁЙ МУЗЫКІМ. А. Каладзінскі. НАРОДНЫ ТЭАТРМагнацкія культурныя цэнтрыПублічная дыскусія «Беларуская новая пьеса: без беларускай мовы ці беларуская?»Беларускія драматургі па-ранейшаму лепш ставяцца за мяжой, чым на радзіме«Працэс незалежнага кіно пайшоў, і дзяржаву турбуе яго непадкантрольнасць»Беларускія філосафы ў пошуках прасторыВсе идём в библиотекуАрхіваванаАб Нацыянальнай праграме даследавання і выкарыстання касмічнай прасторы ў мірных мэтах на 2008—2012 гадыУ космас — разам.У суседнім з Барысаўскім раёне пабудуюць Камандна-вымяральны пунктСвяты і абрады беларусаў«Мірныя бульбашы з малой краіны» — 5 непраўдзівых стэрэатыпаў пра БеларусьМ. Раманюк. Беларускае народнае адзеннеУ Беларусі скарачаецца колькасць злачынстваўЛукашэнка незадаволены мінскімі ўладамі Крадзяжы складаюць у Мінску каля 70% злачынстваў Узровень злачыннасці ў Мінскай вобласці — адзін з самых высокіх у краіне Генпракуратура аналізуе стан са злачыннасцю ў Беларусі па каэфіцыенце злачыннасці У Беларусі стабілізавалася крымінагеннае становішча, лічыць генпракурорЗамежнікі сталі здзяйсняць у Беларусі больш злачынстваўМУС Беларусі турбуе рост рэцыдыўнай злачыннасціЯ з ЖЭСа. Дазволіце вас абкрасці! Рэйтынг усіх службаў і падраздзяленняў ГУУС Мінгарвыканкама вырасАб КДБ РБГісторыя Аператыўна-аналітычнага цэнтра РБГісторыя ДКФРТаможняagentura.ruБеларусьBelarus.by — Афіцыйны сайт Рэспублікі БеларусьСайт урада БеларусіRadzima.org — Збор архітэктурных помнікаў, гісторыя Беларусі«Глобус Беларуси»Гербы и флаги БеларусиАсаблівасці каменнага веку на БеларусіА. Калечыц, У. Ксяндзоў. Старажытны каменны век (палеаліт). Першапачатковае засяленне тэрыторыіУ. Ксяндзоў. Сярэдні каменны век (мезаліт). Засяленне краю плямёнамі паляўнічых, рыбакоў і збіральнікаўА. Калечыц, М. Чарняўскі. Плямёны на тэрыторыі Беларусі ў новым каменным веку (неаліце)А. Калечыц, У. Ксяндзоў, М. Чарняўскі. Гаспадарчыя заняткі ў каменным векуЭ. Зайкоўскі. Духоўная культура ў каменным векуАсаблівасці бронзавага веку на БеларусіФарміраванне супольнасцей ранняга перыяду бронзавага векуФотографии БеларусиРоля беларускіх зямель ва ўтварэнні і ўмацаванні ВКЛВ. Фадзеева. З гісторыі развіцця беларускай народнай вышыўкіDMOZGran catalanaБольшая российскаяBritannica (анлайн)Швейцарскі гістарычны15325917611952699xDA123282154079143-90000 0001 2171 2080n9112870100577502ge128882171858027501086026362074122714179пппппп

                    ValueError: Expected n_neighbors <= n_samples, but n_samples = 1, n_neighbors = 6 (SMOTE) The 2019 Stack Overflow Developer Survey Results Are InCan SMOTE be applied over sequence of words (sentences)?ValueError when doing validation with random forestsSMOTE and multi class oversamplingLogic behind SMOTE-NC?ValueError: Error when checking target: expected dense_1 to have shape (7,) but got array with shape (1,)SmoteBoost: Should SMOTE be ran individually for each iteration/tree in the boosting?solving multi-class imbalance classification using smote and OSSUsing SMOTE for Synthetic Data generation to improve performance on unbalanced dataproblem of entry format for a simple model in KerasSVM SMOTE fit_resample() function runs forever with no result