Using 6 columns of time series data, conduct pairwise analysis on all possible iterations (in R)











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I have a dataframe mydf containing 6 columns of time series data.



I want to calculate the correlation of all this data, which can easily be done through cor(mydf). However, I want to multiply each of the correlations by the square root of the relevant long-run variances (I adopt an arbitrary autocorrelation lag of 5) of each pairwise column.



To demonstrate, val = cor(mydf[,1], mydf[,2])



cov_temp1 = acf(mydf[,1], type = "covariance", lag.max = 5, plot = FALSE, na.action = na.pass)$acf
cov_temp2 = acf(mydf[,2], type = "covariance", lag.max = 5, plot = FALSE, na.action = na.pass)$acf
s.e. = sqrt((cov_temp1[1]+2*sum(cov_temp1[-1]))/nrow(mydf) * (cov_temp2[1]+2*sum(cov_temp2[-1]))/nrow(mydf))


Then, the pairwise statistic for column 1 and 2 is val*s.e.. Assuming I have 6 columns of data, which I do, I want to construct the same statistic for all iterations of pairwise columns and then sum them up. I am not entirely sure how to proceed?










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    down vote

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    I have a dataframe mydf containing 6 columns of time series data.



    I want to calculate the correlation of all this data, which can easily be done through cor(mydf). However, I want to multiply each of the correlations by the square root of the relevant long-run variances (I adopt an arbitrary autocorrelation lag of 5) of each pairwise column.



    To demonstrate, val = cor(mydf[,1], mydf[,2])



    cov_temp1 = acf(mydf[,1], type = "covariance", lag.max = 5, plot = FALSE, na.action = na.pass)$acf
    cov_temp2 = acf(mydf[,2], type = "covariance", lag.max = 5, plot = FALSE, na.action = na.pass)$acf
    s.e. = sqrt((cov_temp1[1]+2*sum(cov_temp1[-1]))/nrow(mydf) * (cov_temp2[1]+2*sum(cov_temp2[-1]))/nrow(mydf))


    Then, the pairwise statistic for column 1 and 2 is val*s.e.. Assuming I have 6 columns of data, which I do, I want to construct the same statistic for all iterations of pairwise columns and then sum them up. I am not entirely sure how to proceed?










    share|improve this question
























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I have a dataframe mydf containing 6 columns of time series data.



      I want to calculate the correlation of all this data, which can easily be done through cor(mydf). However, I want to multiply each of the correlations by the square root of the relevant long-run variances (I adopt an arbitrary autocorrelation lag of 5) of each pairwise column.



      To demonstrate, val = cor(mydf[,1], mydf[,2])



      cov_temp1 = acf(mydf[,1], type = "covariance", lag.max = 5, plot = FALSE, na.action = na.pass)$acf
      cov_temp2 = acf(mydf[,2], type = "covariance", lag.max = 5, plot = FALSE, na.action = na.pass)$acf
      s.e. = sqrt((cov_temp1[1]+2*sum(cov_temp1[-1]))/nrow(mydf) * (cov_temp2[1]+2*sum(cov_temp2[-1]))/nrow(mydf))


      Then, the pairwise statistic for column 1 and 2 is val*s.e.. Assuming I have 6 columns of data, which I do, I want to construct the same statistic for all iterations of pairwise columns and then sum them up. I am not entirely sure how to proceed?










      share|improve this question













      I have a dataframe mydf containing 6 columns of time series data.



      I want to calculate the correlation of all this data, which can easily be done through cor(mydf). However, I want to multiply each of the correlations by the square root of the relevant long-run variances (I adopt an arbitrary autocorrelation lag of 5) of each pairwise column.



      To demonstrate, val = cor(mydf[,1], mydf[,2])



      cov_temp1 = acf(mydf[,1], type = "covariance", lag.max = 5, plot = FALSE, na.action = na.pass)$acf
      cov_temp2 = acf(mydf[,2], type = "covariance", lag.max = 5, plot = FALSE, na.action = na.pass)$acf
      s.e. = sqrt((cov_temp1[1]+2*sum(cov_temp1[-1]))/nrow(mydf) * (cov_temp2[1]+2*sum(cov_temp2[-1]))/nrow(mydf))


      Then, the pairwise statistic for column 1 and 2 is val*s.e.. Assuming I have 6 columns of data, which I do, I want to construct the same statistic for all iterations of pairwise columns and then sum them up. I am not entirely sure how to proceed?







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      asked Nov 13 at 9:41









      TheManR

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