Hi. again. Still the same problem, but I made a new code to see better of my question. Like the first email, I still want each item's categories to have a normal distribution. it doesn't have to statistically fit. I made 2 different code. And, I found if the histogram is the opposite, they will be normal distributions. In detail, most items have the highest frequencies(probabilities) in the first category and the last category. The middle categories are fewer frequencies.
Is there any way to opposite the frequency, so that each item has normal category distribution? I have to figure out this problem. Please help me! ###two dimensional 10 items 5 categorical data simulation Theta <- rmvnorm((1000*2), sigma = sigma) set.seed(12) #slope matrix of 10=items, item1-5:factor1, item6-10: factor2 aa <- matrix(c(rlnorm(5,.2,.2),rep(0,10),rlnorm(5,.2,.2)),10) #rlnorm-log normal distribution dd<-matrix(rnorm((10*5),0,.3), 10) dd <- t(apply(dd, 1, sort, decreasing=TRUE)) #sort since intercepts are ordered polytomous5 <- simdata(aa, dd, 1000, Theta=Theta, itemtype = 'gpcm') summary(polytomous5) hist(polytomous5[,1]) hist(polytomous5[,2]) hist(polytomous5[,3]) hist(polytomous5[,4]) hist(polytomous5[,5]) hist(polytomous5[,6]) hist(polytomous5[,7]) hist(polytomous5[,8]) hist(polytomous5[,9]) hist(polytomous5[,10]) Theta <- rmvnorm((1000*2), sigma =sigma) set.seed(12) #set a parameters a <- matrix(c(2.5,NA,2.0,NA,1.5,NA,1.0,NA,0.5,NA,NA,0.5,NA,1.0,NA,1.5,NA,2.0,NA,2.5),ncol=2,byrow=TRUE) d<-matrix(rnorm((10*5),0,.3), 10) d <- t(apply(d, 1, sort, decreasing=TRUE)) #sort since intercepts are ordered polytomous51 <- simdata(a, d, 1000, Theta=Theta, itemtype = 'gpcm') summary(polytomous51) hist(polytomous51[,1]) hist(polytomous51[,2]) hist(polytomous51[,3]) hist(polytomous51[,4]) hist(polytomous51[,5]) hist(polytomous51[,6]) hist(polytomous51[,7]) hist(polytomous51[,8]) hist(polytomous51[,9]) hist(polytomous51[,10]) Soonhwa(Suna) Paek Educational Psychology-Statistics and Measurements University of Wisconsin-Milwaukee p...@uwm.edu 262-441-3019 ________________________________ From: Suna Paek Sent: Wednesday, July 10, 2019 5:58 PM To: R-help@R-project.org Subject: Re: mirt-simdata question. Hi. I always thank you all of the R program worker and researchers. I am using R for my thesis, and I have a question. I am simulating multi-dimensional and categorical items (polytomous) with mirt-simdata. However, I wish each items' categories are normal distribution. I checked a lot of information from the internet. Unfortunately, I couldn't find a good one. It looks like before version, there is a 'simdata_normal' function, but not anymore. Is there another way to simulate the normal distribution of the multi-dimensional item polytomous-responses? Here is my code, I was working on. #two dimensional categorical data simulation Theta <- rmvnorm(10000, sigma = matrix(c(1, .5, .5, 1), 2)) #correlation of .5 summary(Theta) set.seed(12345) #slope matrix of 20 rows=items, a1=10 factor 1, a2=10 factor 2 aa <- matrix(c(rlnorm(20,.2,.3),rep(0,40),rlnorm(20,.2,.3)),40) #rlnorm-log normal distribution dd<-matrix(rnorm((40*4),0,2.0), 40) dd <- t(apply(dd, 1, sort, decreasing=TRUE)) #sort since intercepts are ordered polytomous4 <- simdata(aa, dd, 10000, Theta=Theta, itemtype = 'gpcm') summary(polytomous4) Can anyone please check and help me? I desperately have to figure out this problem as soon as possible. Thank you very much for reading my question. Have a good day. God bless you! Best, Soonhwa(Suna) Paek Educational Psychology-Statistics and Measurements University of Wisconsin-Milwaukee p...@uwm.edu 262-441-3019 Soonhwa(Suna) Paek Educational Psychology-Statistics and Measurements University of Wisconsin-Milwaukee p...@uwm.edu 262-441-3019 ________________________________ From: Suna Paek Sent: Wednesday, July 10, 2019 3:46 PM To: r-wind...@r-project.org Subject: mirt-simdata question. Hi. I always thank you all of the R program worker and researchers. I am using R for my thesis, and I have a question. I am simulating multi-dimensional and categorical items (polytomous) with mirt-simdata. However, I wish each items' categories are normal distribution. I checked a lot of information from the internet. Unfortunately, I couldn't find a good one. It looks like before version, there is a 'simdata_normal' function, but not anymore. Is there another way to simulate the normal distribution of the multi-dimensional item polytomous-responses? Here is my code, I was working on. #two dimensional categorical data simulation Theta <- rmvnorm(10000, sigma = matrix(c(1, .5, .5, 1), 2)) #correlation of .5 summary(Theta) set.seed(12345) #slope matrix of 20 rows=items, a1=10 factor 1, a2=10 factor 2 aa <- matrix(c(rlnorm(20,.2,.3),rep(0,40),rlnorm(20,.2,.3)),40) #rlnorm-log normal distribution dd<-matrix(rnorm((40*4),0,2.0), 40) dd <- t(apply(dd, 1, sort, decreasing=TRUE)) #sort since intercepts are ordered polytomous4 <- simdata(aa, dd, 10000, Theta=Theta, itemtype = 'gpcm') summary(polytomous4) Can anyone please check and help me? I desperately have to figure out this problem as soon as possible. Thank you very much for reading my question. Have a good day. God bless you! Best, Soonhwa(Suna) Paek Educational Psychology-Statistics and Measurements University of Wisconsin-Milwaukee p...@uwm.edu 262-441-3019 [[alternative HTML version deleted]] ______________________________________________ R-help@r-project.org mailing list -- To UNSUBSCRIBE and more, see 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.