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standard_Deviation_Mean_Plot_Jeroen_Kinne

*Unverified author*

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

Title produced by software: Standard Deviation-Mean Plot

Date of computation: Mon, 16 Aug 2010 13:38:50 +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/16/t1281965911c2s7wymgck6lc42.htm/, Retrieved Mon, 16 Aug 2010 15:38:33 +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/16/t1281965911c2s7wymgck6lc42.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:

Jeroen_Kinne

Dataseries X:

» Textbox « » Textfile « » CSV «

36 35 34 32 52 51 36 26 27 27 28 30 28 29 25 28 55 53 42 32 37 41 37 38 39 32 36 39 83 83 66 53 72 77 69 72 81 71 63 66 114 116 109 97 111 120 110 106 115 110 103 112 163 166 156 140 166 176 163 162 171 167 163 168 222 216 197 178 204 220 196 195 213 218 216 225 280 272 252 230 248 259 240 237 252 250 255 255 313 291 271 247 268 283 259 259 267 270 279 269 334 326 301 276 301 313 291 287 289 298 320 312 385 380 351 322 350 363 344 345

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	34.25	1.70782512765993	4
2	41.25	12.5266382827424	26
3	28	1.41421356237310	3
4	27.5	1.73205080756888	4
5	45.5	10.6614570611463	23
6	38.25	1.89296944860009	4
7	36.5	3.3166247903554	7
8	71.25	14.5688022843335	30
9	72.5	3.3166247903554	8
10	70.25	7.88986691902975	18
11	109	8.52447456836295	19
12	111.75	5.90903263374528	14
13	110	5.09901951359278	12
14	156.25	11.6153633893506	26
15	166.75	6.39661368746516	14
16	167.25	3.30403793359983	8
17	203.25	19.9227675453654	44
18	203.75	11.5578256317239	25
19	218	5.09901951359278	12
20	258.5	22.3532249723986	50
21	246	9.83192080250175	22
22	253	2.44948974278318	5
23	280.5	28.1602556806574	66
24	267.25	11.3247516529061	24
25	271.25	5.31507290636732	12
26	309.25	26.2472220752343	58
27	298	11.6045967903528	26
28	304.75	13.8894444333338	31
29	359.5	29.1490422941589	63
30	350.5	8.7368949480541	19

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	2.90611321242171
beta	0.0427288511995813
S.D.	0.0111685176842500
T-STAT	3.82583010633882
p-value	0.000668989676680618

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-1.13593946279489
beta	0.645538194601525
S.D.	0.149546636616888
T-STAT	4.31663465795811
p-value	0.00017885129120927
Lambda	0.354461805398475

Charts produced by software:

http://www.freestatistics.org/blog/date/2010/Aug/16/t1281965911c2s7wymgck6lc42/1gaq21281965929.png (open in new window)

http://www.freestatistics.org/blog/date/2010/Aug/16/t1281965911c2s7wymgck6lc42/1gaq21281965929.ps (open in new window)

http://www.freestatistics.org/blog/date/2010/Aug/16/t1281965911c2s7wymgck6lc42/2gaq21281965929.png (open in new window)

http://www.freestatistics.org/blog/date/2010/Aug/16/t1281965911c2s7wymgck6lc42/2gaq21281965929.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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