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

Title produced by software: Standard Deviation-Mean Plot

Date of computation: Wed, 18 Aug 2010 00:53:46 +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/Aug/18/t1282092810hrbtaowj6xnh6qm.htm/, Retrieved Wed, 18 Aug 2010 02:53:33 +0200

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/Aug/18/t1282092810hrbtaowj6xnh6qm.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:

Dataseries X:

» Textbox « » Textfile « » CSV «

94 93 92 90 110 109 94 84 85 85 86 88 93 94 90 91 104 103 88 79 82 88 93 89 94 96 94 92 113 122 107 98 103 110 113 110 123 124 118 117 139 146 134 121 123 122 127 122 139 136 127 123 140 146 138 120 122 115 115 102 119 114 108 102 121 109 102 95 98 92 94 90 113 111 103 90 108 99 95 91 85 72 90 90 114 115 104 93 101 90 79 75 71 61 84 87 107 99 93 74 87 71 67 61 63 52 80 84 102 93 87 72 83 72 66 64 64 47 77 79

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

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	92.25	1.70782512765993	4
2	99.25	12.5266382827424	26
3	86	1.41421356237310	3
4	92	1.82574185835055	4
5	93.5	12.1243556529821	25
6	88	4.54606056566195	11
7	94	1.63299316185545	4
8	110	10.0995049383621	24
9	109	4.24264068711928	10
10	120.5	3.51188458428425	7
11	135	10.5514611942296	25
12	123.5	2.38047614284762	5
13	131.25	7.5	16
14	136	11.1952370824978	26
15	113.5	8.34665601703261	20
16	110.75	7.36545993132812	17
17	106.75	11.0867789130417	26
18	93.5	3.41565025531987	8
19	104.25	10.4363148029688	23
20	98.25	7.27438428093173	17
21	84.25	8.5	18
22	106.5	10.2794292967395	22
23	86.25	11.7011395456454	26
24	75.75	12.0381338531629	26
25	93.25	14.0564338768172	33
26	71.5	11.1205515450749	26
27	69.75	14.9303940559741	32
28	88.5	12.6095202129185	30
29	71.25	8.53912563829967	19
30	66.75	14.7507061977837	32

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	13.1404442873218
beta	-0.0482899414963233
S.D.	0.0415490211757219
T-STAT	-1.16224017148544
p-value	0.254949001968249

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	4.26879912544983
beta	-0.512387006672243
S.D.	0.708123831830356
T-STAT	-0.72358390388843
p-value	0.475323357359544
Lambda	1.51238700667224

Charts produced by software:

http://www.freestatistics.org/blog/date/2010/Aug/18/t1282092810hrbtaowj6xnh6qm/151ie1282092824.png (open in new window)

http://www.freestatistics.org/blog/date/2010/Aug/18/t1282092810hrbtaowj6xnh6qm/151ie1282092824.ps (open in new window)

http://www.freestatistics.org/blog/date/2010/Aug/18/t1282092810hrbtaowj6xnh6qm/251ie1282092824.png (open in new window)

http://www.freestatistics.org/blog/date/2010/Aug/18/t1282092810hrbtaowj6xnh6qm/251ie1282092824.ps (open in new window)

Parameters (Session):

par1 = 4 ;

Parameters (R input):

par1 = 4 ;

R code (references can be found in the software module):

par1 <- as.numeric(par1)

(n <- length(x))

(np <- floor(n / par1))

arr <- array(NA,dim=c(par1,np))

j <- 0

k <- 1

for (i in 1:(np*par1))

{

j = j + 1

arr[j,k] <- x[i]

if (j == par1) {

j = 0

k=k+1

}

}

arr

arr.mean <- array(NA,dim=np)

arr.sd <- array(NA,dim=np)

arr.range <- array(NA,dim=np)

for (j in 1:np)

{

arr.mean[j] <- mean(arr[,j],na.rm=TRUE)

arr.sd[j] <- sd(arr[,j],na.rm=TRUE)

arr.range[j] <- max(arr[,j],na.rm=TRUE) - min(arr[,j],na.rm=TRUE)

}

arr.mean

arr.sd

arr.range

(lm1 <- lm(arr.sd~arr.mean))

(lnlm1 <- lm(log(arr.sd)~log(arr.mean)))

(lm2 <- lm(arr.range~arr.mean))

bitmap(file='test1.png')

plot(arr.mean,arr.sd,main='Standard Deviation-Mean Plot',xlab='mean',ylab='standard deviation')

dev.off()

bitmap(file='test2.png')

plot(arr.mean,arr.range,main='Range-Mean Plot',xlab='mean',ylab='range')

dev.off()

load(file='createtable')

a<-table.start()

a<-table.row.start(a)

a<-table.element(a,'Standard Deviation-Mean Plot',4,TRUE)

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a,'Section',header=TRUE)

a<-table.element(a,'Mean',header=TRUE)

a<-table.element(a,'Standard Deviation',header=TRUE)

a<-table.element(a,'Range',header=TRUE)

a<-table.row.end(a)

for (j in 1:np) {

a<-table.row.start(a)

a<-table.element(a,j,header=TRUE)

a<-table.element(a,arr.mean[j])

a<-table.element(a,arr.sd[j] )

a<-table.element(a,arr.range[j] )

a<-table.row.end(a)

}

a<-table.end(a)

table.save(a,file='mytable.tab')

a<-table.start()

a<-table.row.start(a)

a<-table.element(a,'Regression: S.E.(k) = alpha + beta * Mean(k)',2,TRUE)

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a,'alpha',header=TRUE)

a<-table.element(a,lm1$coefficients[[1]])

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a,'beta',header=TRUE)

a<-table.element(a,lm1$coefficients[[2]])

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a,'S.D.',header=TRUE)

a<-table.element(a,summary(lm1)$coefficients[2,2])

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a,'T-STAT',header=TRUE)

a<-table.element(a,summary(lm1)$coefficients[2,3])

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a,'p-value',header=TRUE)

a<-table.element(a,summary(lm1)$coefficients[2,4])

a<-table.row.end(a)

a<-table.end(a)

table.save(a,file='mytable1.tab')

a<-table.start()

a<-table.row.start(a)

a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a,'alpha',header=TRUE)

a<-table.element(a,lnlm1$coefficients[[1]])

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a,'beta',header=TRUE)

a<-table.element(a,lnlm1$coefficients[[2]])

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a,'S.D.',header=TRUE)

a<-table.element(a,summary(lnlm1)$coefficients[2,2])

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a,'T-STAT',header=TRUE)

a<-table.element(a,summary(lnlm1)$coefficients[2,3])

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a,'p-value',header=TRUE)

a<-table.element(a,summary(lnlm1)$coefficients[2,4])

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a,'Lambda',header=TRUE)

a<-table.element(a,1-lnlm1$coefficients[[2]])

a<-table.row.end(a)

a<-table.end(a)

table.save(a,file='mytable2.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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