R - likelihood ratio test with one model












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I should perform a likelihood ratio test on the following null hypothesis :
α = Aψ



where α and A (p * m) are known vectors. ψ (m*r) is a matrix of free parameters.
The likelihood ratio test is asymptotically distributed as χ2 with r(p-m) degrees of freedom.



What I don't understand is that normally, LR tests compare 2 models. But here it's not the case?



I tried this on R but not sure of it since I didn't include the ψ matrix, that confuses me.



A=c(1,0)
testo1<-G$othog.alpha ~A
lrtest(testo1)


G$othog.alpha is my vector of α (2 values).










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    0














    I should perform a likelihood ratio test on the following null hypothesis :
    α = Aψ



    where α and A (p * m) are known vectors. ψ (m*r) is a matrix of free parameters.
    The likelihood ratio test is asymptotically distributed as χ2 with r(p-m) degrees of freedom.



    What I don't understand is that normally, LR tests compare 2 models. But here it's not the case?



    I tried this on R but not sure of it since I didn't include the ψ matrix, that confuses me.



    A=c(1,0)
    testo1<-G$othog.alpha ~A
    lrtest(testo1)


    G$othog.alpha is my vector of α (2 values).










    share|improve this question

























      0












      0








      0







      I should perform a likelihood ratio test on the following null hypothesis :
      α = Aψ



      where α and A (p * m) are known vectors. ψ (m*r) is a matrix of free parameters.
      The likelihood ratio test is asymptotically distributed as χ2 with r(p-m) degrees of freedom.



      What I don't understand is that normally, LR tests compare 2 models. But here it's not the case?



      I tried this on R but not sure of it since I didn't include the ψ matrix, that confuses me.



      A=c(1,0)
      testo1<-G$othog.alpha ~A
      lrtest(testo1)


      G$othog.alpha is my vector of α (2 values).










      share|improve this question













      I should perform a likelihood ratio test on the following null hypothesis :
      α = Aψ



      where α and A (p * m) are known vectors. ψ (m*r) is a matrix of free parameters.
      The likelihood ratio test is asymptotically distributed as χ2 with r(p-m) degrees of freedom.



      What I don't understand is that normally, LR tests compare 2 models. But here it's not the case?



      I tried this on R but not sure of it since I didn't include the ψ matrix, that confuses me.



      A=c(1,0)
      testo1<-G$othog.alpha ~A
      lrtest(testo1)


      G$othog.alpha is my vector of α (2 values).







      r hypothesis-test






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked Nov 19 '18 at 15:36









      Narjems

      409




      409
























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