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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, 24 Nov 2009 08:11:02 -0700

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2009/Nov/24/t125907598894pi3rfpjjr1zpe.htm/, Retrieved Tue, 24 Nov 2009 16:19:50 +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/2009/Nov/24/t125907598894pi3rfpjjr1zpe.htm/},
    year = {2009},
}
@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 = {2009},
    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	'Gwilym Jenkins' @ 72.249.127.135

Index	Value
1	3.08463886829913
2	2.80726554547746
3	0.114044091346210
4	-0.81405728653962
5	0.816518356233993
6	0.943145974612407
7	1.42576657412021
8	2.76064479291249
9	0.156248958360458
10	0.288537015818088
11	0.332018553971477
12	1.32824023563145
13	1.60804656997443
14	1.33535464186342
15	0.815744077764173
16	0.856179647511435
17	-0.22305081657726
18	-0.861236953747741
19	0.424647639692915
20	0.106186162060778
21	-1.36540247027832
22	1.81921113555646
23	0.262901840419590
24	0.96111405367641
25	0.907791003831522
26	0.883295783031652
27	-1.14344218100283
28	-0.622150340976821
29	-0.0522871750036843
30	-0.115567296488522
31	2.27864820769805
32	1.36747365039917
33	1.02427300454456
34	-0.385494722615087
35	-0.691606289260516
36	1.37668767952335
37	0.442133945495995
38	1.76231970313877
39	1.39186582823445
40	-0.0744549700035901
41	0.64612019218244
42	0.917512057320635
43	1.10724713840974
44	0.89780352137157
45	1.31124056998547
46	0.00847882921295656
47	-1.79196158908482
48	-0.130970687417289
49	-1.56397888993473
50	1.43527634656848
51	0.880850546200246
52	-0.0359214795861228
53	1.62658039403832
54	0.844822283430924
55	0.910490955520153
56	1.61897404438883
57	0.908099361373333
58	0.334134432255144
59	0.993957711034347
60	0.369082596148573
61	1.62650533499320
62	-0.179569316153506
63	-1.79811643929669
64	-0.451389441648966
65	1.27814656949639
66	1.96218815612436
67	-0.92582999591374
68	0.61284765730582
69	0.939975498547774
70	0.0993385146257036
71	-0.661923644394036
72	0.616605658173596
73	-0.511352365239278
74	0.809327178903487
75	2.24946881586332
76	0.606154718128834
77	0.891642783075003
78	0.0284726559920365
79	-0.791893842813785
80	1.15787211784735
81	0.236469596335202
82	0.198123389774107
83	2.48136548060165
84	-0.228414219764124
85	1.57602972035046
86	0.432870829415921
87	0.459074476491824
88	-1.01994772703155
89	1.66739133409574
90	-0.73425042317419
91	1.27256629427744
92	-1.00134585393971
93	-0.577836991265543
94	0.444929145209171
95	-1.59477350045536
96	-0.289805937117300
97	-1.07310728652043
98	0.405048888614146
99	0.473042916184886
100	0.0560494303142088

Parameter	Value	Standard Deviation
# simulated values	100	-
true mean	0.5	-
true standard deviation	1	-
mean	0.493619815481382	0.102917672375425
standard deviation	1.02917672375425	0.0727737840405983

Charts produced by software:

http://www.freestatistics.org/blog/date/2009/Nov/24/t125907598894pi3rfpjjr1zpe/1lsn21259075460.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/24/t125907598894pi3rfpjjr1zpe/1lsn21259075460.ps (open in new window)

Parameters (Session):

par1 = 100 ; par2 = .5 ; par3 = 1 ; par4 = 2 ; par5 = Y ; par6 = 0 ;

Parameters (R input):

par1 = 100 ; par2 = .5 ; par3 = 1 ; par4 = 2 ; 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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