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*The author of this computation has been verified*

R Software Module: /rwasp_rngnorm.wasp (opens new window with default values)

Title produced by software: Random Number Generator - Normal Distribution

Date of computation: Tue, 30 Nov 2010 14:54:51 +0000

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Nov/30/t1291128817lrezuh9uyjmssmz.htm/, Retrieved Tue, 30 Nov 2010 15:53:37 +0100

BibTeX entries for LaTeX users:

@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/Nov/30/t1291128817lrezuh9uyjmssmz.htm/},
    year = {2010},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2010},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords:

Output produced by software:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Index	Value
1	48.2392549560449
2	53.837064586348
3	51.6238309914777
4	46.1333131088424
5	47.4197188496871
6	48.9275931063308
7	50.1214222478625
8	54.037572079239
9	49.2379028836373
10	49.6587280563695
11	48.4209125291962
12	50.9331740235283
13	51.41008653048
14	48.0501905559205
15	51.0499973237719
16	49.5349244105559
17	51.7576588097382
18	50.8203234743411
19	49.5776453900678
20	48.9784275788861
21	53.0369043030698
22	54.1725141921692
23	49.24736168712
24	49.9635760919766
25	50.1527184131898
26	50.0609696801147
27	51.0070821637766
28	52.2060560176803
29	51.3947237806226
30	50.6670450563874
31	48.8079208889854
32	45.807216775075
33	50.5904270813237
34	52.0727917546069
35	44.8678930739973
36	50.4837821156126
37	51.4117516628565
38	50.4134956298284
39	49.0559776235277
40	49.1206518589337
41	48.3707058042138
42	50.8704214377078
43	52.707978487082
44	49.0157880179344
45	45.4936213201909
46	52.6769089205453
47	50.0869659281943
48	50.28537512186
49	50.9174121640063
50	50.9991919489938
51	49.1029261684711
52	50.7961321667183
53	52.9357272015454
54	49.2423024681831
55	48.7653299810191
56	46.8351842404378
57	50.2701599984083
58	47.8158020034829
59	50.6382390533312
60	50.5360906978867
61	51.1356302066408
62	50.0409111927449
63	48.2816255087708
64	55.324854688103
65	50.9857616306004
66	46.6627511042843
67	52.7878873599803
68	46.5523734707578
69	51.0958210443425
70	53.8337631982032
71	49.4731774440849
72	48.0604072629601
73	50.6679458089009
74	48.1979399436173
75	51.3870257220759
76	52.3947954481883
77	49.0709723364933
78	50.9103056289035
79	46.9009554262698
80	54.192891747397
81	52.1839745652236
82	49.0984401661628
83	48.9085289104062
84	53.5152591376814
85	48.0911044825679
86	49.9521838882341
87	50.0973384591491
88	50.5700915782997
89	51.0193772449741
90	52.532109935325
91	47.7817529171522
92	46.5744136637153
93	50.7389985446357
94	51.5265923188601
95	50.7898657262774
96	51.8154563835626
97	49.0738253515252
98	49.8415483093543
99	50.9034124302399
100	49.1693656215045
101	49.9656476718117
102	52.0837507441577
103	50.3837036955452
104	50.2500294362288
105	51.7940913656031
106	49.3414872778236
107	50.4002941246755
108	49.6389854266126
109	52.6593520099916
110	46.0335279643669
111	50.9123477705038
112	49.0620820304763
113	52.6608320676148
114	49.9800000201337
115	52.2600844140151
116	49.6881258087167
117	48.7407635910405
118	49.8068744137787
119	47.7604299326978
120	51.0044659470059

Parameter	Value	Standard Deviation
# simulated values	120	-
true mean	50	-
true standard deviation	2	-
mean	50.1603431332864	0.179671541253616
standard deviation	1.96820312172651	0.12704696520667

Charts produced by software:

http://www.freestatistics.org/blog/date/2010/Nov/30/t1291128817lrezuh9uyjmssmz/1gopc1291128887.png (open in new window)

http://www.freestatistics.org/blog/date/2010/Nov/30/t1291128817lrezuh9uyjmssmz/1gopc1291128887.ps (open in new window)

Parameters (Session):

par1 = 120 ; par2 = 50 ; par3 = 2 ; par4 = 1 ; par5 = Y ; par6 = 0 ;

Parameters (R input):

par1 = 120 ; par2 = 50 ; par3 = 2 ; par4 = 1 ; par5 = Y ; par6 = 0 ;

R code (references can be found in the software 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')

}

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa

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