# ::Free Statistics and Forecasting Software::

v1.1.23-r7
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### :: Random Number Generator - Normal Distribution - Free Statistics Software (Calculator) ::

All rights reserved. The non-commercial (academic) use of this software is free of charge. The only thing that is asked in return is to cite this software when results are used in publications.

This free online software (calculator) generates random numbers for the Normal distribution. The parameters allow you to specify the length of the dataseries to be generated, the mean of the distribution, and the standard error of the distribution.

The generated random numbers are listed in a table and the corresponding histogram is shown in a chart.

 Send output to: Browser Blue - Charts White Browser Black/White CSV MS Excel MS Word Number of values (?) Mean (?) S.D. (?) Color code (?) 23456781 List Random Numbers in table? (?) NY Number of bins (?) Lower truncation point (leave blank for -infinity) Upper truncation point (leave blank for +infinity) Chart options Width: Height: Title: Label y-axis: Label x-axis:

 Source code of R module library(MASS) library(msm) par1 <- as.numeric(par1) if (par1 > 10000) par1=10000 #impose restriction on number of random values par2 <- as.numeric(par2) par3 <- as.numeric(par3) par4 <- as.numeric(par4) if (par6 == "0") par6 = "Sturges" else { par6 <- as.numeric(par6) if (par6 > 50) par6 = 50 #impose restriction on the number of bins } if (par7 == "") par7 <- -Inf else par7 <- as.numeric(par7) if (par8 == "") par8 <- Inf else par8 <- as.numeric(par8) x <- rtnorm(par1,par2,par3,par7,par8) x <- as.ts(x) #otherwise the fitdistr function does not work properly if ((par7 == -Inf) & (par8 == Inf)) (r <- fitdistr(x,"normal")) bitmap(file="test1.png") myhist<-hist(x,col=par4,breaks=par6,main=main,ylab=ylab,xlab=xlab,freq=F) if ((par7 == -Inf) & (par8 == Inf)) { curve(1/(r\$estimate[2]*sqrt(2*pi))*exp(-1/2*((x-r\$estimate[1])/r\$estimate[2])^2),min(x),max(x),add=T) } dev.off() load(file="createtable") if (par5 == "Y") { a<-table.start() a<-table.row.start(a) a<-table.element(a,"Index",1,TRUE) a<-table.element(a,"Value",1,TRUE) a<-table.row.end(a) for (i in 1:par1) { a<-table.row.start(a) a<-table.element(a,i,header=TRUE) a<-table.element(a,x[i]) a<-table.row.end(a) } a<-table.end(a) table.save(a,file="mytable1.tab") } if ((par7 == -Inf) & (par8 == Inf)) { a<-table.start() a<-table.row.start(a) a<-table.element(a,"Parameter",1,TRUE) a<-table.element(a,"Value",1,TRUE) a<-table.element(a,"Standard Deviation",1,TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,"# simulated values",header=TRUE) a<-table.element(a,par1) a<-table.element(a,"-") a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,"true mean",header=TRUE) a<-table.element(a,par2) a<-table.element(a,"-") a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,"true standard deviation",header=TRUE) a<-table.element(a,par3) a<-table.element(a,"-") a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,"mean",header=TRUE) a<-table.element(a,r\$estimate[1]) a<-table.element(a,r\$sd[1]) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,"standard deviation",header=TRUE) a<-table.element(a,r\$estimate[2]) a<-table.element(a,r\$sd[2]) a<-table.row.end(a) a<-table.end(a) table.save(a,file="mytable.tab") }
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 Cite this software as: Wessa P., (2008), Random Number Generator for the Normal Distribution (v1.0.8) in Free Statistics Software (v1.1.23-r7), Office for Research Development and Education, URL http://www.wessa.net/rwasp_rngnorm.wasp/ The R code is based on : Becker, R. A., Chambers, J. M. and Wilks, A. R. (1988), The New S Language, Wadsworth & Brooks/Cole. Wichura, M. J. (1988) Algorithm AS 241: The Percentage Points of the Normal Distribution, Applied Statistics, nr. 37, 477-484.
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 To cite Wessa.net in publications use:Wessa, P. (2013), Free Statistics Software, Office for Research Development and Education, version 1.1.23-r7, URL http://www.wessa.net/ © All rights reserved. Academic license for non-commercial use only. The free use of the scientific content, services, and applications in this website is granted for non commercial use only. In any case, the source (url) should always be clearly displayed. Under no circumstances are you allowed to reproduce, copy or redistribute the design, layout, or any content of this website (for commercial use) including any materials contained herein without the express written permission. Information provided on this web site is provided "AS IS" without warranty of any kind, either express or implied, including, without limitation, warranties of merchantability, fitness for a particular purpose, and noninfringement. We use reasonable efforts to include accurate and timely information and periodically update the information, and software without notice. We make no warranties or representations as to the accuracy or completeness of such information (or software), and it assumes no liability or responsibility for errors or omissions in the content of this web site, or any software bugs in online applications. Your use of this web site is AT YOUR OWN RISK. Under no circumstances and under no legal theory shall we be liable to you or any other person for any direct, indirect, special, incidental, exemplary, or consequential damages arising from your access to, or use of, this web site. Software Version : 1.1.23-r7Algorithms & Software : Patrick Wessa, PhDServer : www.wessa.net