On Oct 18, 2013, at 08:37 , David Winsemius wrote: > > On Oct 17, 2013, at 9:11 PM, Steven LeBlanc wrote: > >> Greets, >> >> I'm using nlminb() to estimate the parameters of a multivariate normal >> random sample with missing values and ran into an unexpected result from my >> call to dmvnorm() > > There are at least 5 different version of dmvnorm. None of them are in the > default packages. > >> within the likelihood function. Particular details are provided below. > > Complete? Except for the name of the package that has `dmvnorm`. >
More importantly, it gives no clue as to the connection between sigma and the data set. It is not the covariance matrix: > s <- scan(what=list("",0,0)) 1: [1,] 0.84761637 3.994261 2: [2,] 0.91487059 4.952595 3: [3,] 0.84527267 4.521837 .... 40: [40,] 0.65938218 5.209301 41: Read 40 records > cor(s[[2]],s[[3]]) [1] 0.8812403 > colMeans(cbind(s[[2]],s[[3]])) [1] 1.252108 5.540686 > var(cbind(s[[2]],s[[3]])) [,1] [,2] [1,] 1.284475 2.536627 [2,] 2.536627 6.450582 These are not the u and sigma stated. Furthermore the matrix given as sigma is not a covariance matrix. Try working out the correlation coefficient: > 2.2289513/sqrt(0.6464647*5.697834) [1] 1.161377 That should be enough to make any version of dmvnorm complain... >> It appears that dmvnorm() makes a call to log(eigen(sigma)). Whereas >> eigen(sigma) is returning a negative number, I understand log()'s complaint. >> However, it is a mystery to me why this data set should produce such a >> result. >> >> Any suggestions? >> >> Best Regards, >> Steven >> >>> complete >> [,1] [,2] >> [1,] 0.84761637 3.994261 >> [2,] 0.91487059 4.952595 >> [3,] 0.84527267 4.521837 >> [4,] 2.53821358 8.374880 >> [5,] 1.16646209 6.255022 >> [6,] 0.94706527 4.169510 >> [7,] 0.48813564 3.349230 >> [8,] 3.71828469 9.441518 >> [9,] 0.08953357 1.651497 >> [10,] 0.68530515 5.498403 >> [11,] 1.52771645 8.484671 >> [12,] 1.55710697 5.231272 >> [13,] 1.89091603 4.152658 >> [14,] 1.08483541 5.401544 >> [15,] 0.58125385 5.340141 >> [16,] 0.24473250 2.965046 >> [17,] 1.59954401 8.095561 >> [18,] 1.57656436 5.335744 >> [19,] 2.73976992 8.572871 >> [20,] 0.87720252 6.067468 >> [21,] 1.18403087 3.526790 >> [22,] -1.03145244 1.776478 >> [23,] 2.88197343 7.720838 >> [24,] 0.60705218 4.406073 >> [25,] 0.58083464 3.374075 >> [26,] 0.87913427 5.247637 >> [27,] 1.10832692 3.534508 >> [28,] 2.92698371 8.682130 >> [29,] 4.04115277 11.827360 >> [30,] -0.57913297 1.476586 >> [31,] 0.84804365 7.009075 >> [32,] 0.79497940 3.671164 >> [33,] 1.58837762 5.535409 >> [34,] 0.63412821 3.932767 >> [35,] 3.14032433 9.271014 >> [36,] -0.18183869 1.666647 >> [37,] 0.57535770 6.881830 >> [38,] 3.21417723 10.901636 >> [39,] 0.29207932 4.120408 >> [40,] 0.65938218 5.209301 >>> u >> [1] 1.267198 5.475045 >>> sigma >> [,1] [,2] >> [1,] 0.6461647 2.228951 >> [2,] 2.2289513 5.697834 >>> dmvnorm(x=complete,mean=u,sigma=sigma) > >> [1] NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN >> NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN >> [30] NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN >> Warning message: >> In log(eigen(sigma, symmetric = TRUE, only.values = TRUE)$values) : >> NaNs produced >> ______________________________________________ >> R-help@r-project.org mailing list >> https://stat.ethz.ch/mailman/listinfo/r-help >> PLEASE do read the posting guide http://www.R-project.org/posting-guide.html >> and provide commented, minimal, self-contained, reproducible code. > > David Winsemius > Alameda, CA, USA > > ______________________________________________ > R-help@r-project.org mailing list > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide http://www.R-project.org/posting-guide.html > and provide commented, minimal, self-contained, reproducible code. -- Peter Dalgaard, Professor Center for Statistics, Copenhagen Business School Solbjerg Plads 3, 2000 Frederiksberg, Denmark Phone: (+45)38153501 Email: pd....@cbs.dk Priv: pda...@gmail.com ______________________________________________ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.