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Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationSun, 17 Aug 2014 23:05:13 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Aug/17/t1408313122b088rm0m1q2y6bg.htm/, Retrieved Thu, 31 Oct 2024 22:49:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=235647, Retrieved Thu, 31 Oct 2024 22:49:34 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact133
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [] [2014-08-17 22:05:13] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
40927
40856
40778
40635
42103
42032
40927
40194
40265
40265
40336
40486
40856
40414
40856
40486
41661
42181
39973
39381
39894
39823
39381
39453
40336
40194
40336
40336
41298
41440
38790
38790
39823
39310
38427
38790
39674
39232
39161
38206
39602
39894
37023
36952
38427
37615
36218
36810
37465
37615
37173
36290
38128
38128
34893
34673
35556
33939
32314
32835
33939
33055
32464
31210
32906
32977
29743
29664
30256
28418
26430
27235
28339
27164
27093
25910
27826
28197
24585
23780
24293
22305
20246
20909
22156
20688
20909
20026
21864
22084
17668
17375
18180
16050
14134
14797
16414
14504
14355
12880
14504
15017
10451
10451
11113
9347
7359
8392
10230
8242
9055
7950
9717
10308
5592
5229
5963
4196
2800
3384




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235647&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235647&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235647&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
140817641.6488702766281909
240363.25900.2102910885982800
339822.51005.92386301443013
438234.51285.557006974733676
535750.752035.163523695785814
630691.41666666672469.673385042627509
725053.91666666672827.994196288678093
818827.58333333332860.330129018278022
912065.58333333332932.188957644679055
106888.833333333332697.638557679447508

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 40817 & 641.648870276628 & 1909 \tabularnewline
2 & 40363.25 & 900.210291088598 & 2800 \tabularnewline
3 & 39822.5 & 1005.9238630144 & 3013 \tabularnewline
4 & 38234.5 & 1285.55700697473 & 3676 \tabularnewline
5 & 35750.75 & 2035.16352369578 & 5814 \tabularnewline
6 & 30691.4166666667 & 2469.67338504262 & 7509 \tabularnewline
7 & 25053.9166666667 & 2827.99419628867 & 8093 \tabularnewline
8 & 18827.5833333333 & 2860.33012901827 & 8022 \tabularnewline
9 & 12065.5833333333 & 2932.18895764467 & 9055 \tabularnewline
10 & 6888.83333333333 & 2697.63855767944 & 7508 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235647&T=1

[TABLE]
[ROW][C]Standard Deviation-Mean Plot[/C][/ROW]
[ROW][C]Section[/C][C]Mean[/C][C]Standard Deviation[/C][C]Range[/C][/ROW]
[ROW][C]1[/C][C]40817[/C][C]641.648870276628[/C][C]1909[/C][/ROW]
[ROW][C]2[/C][C]40363.25[/C][C]900.210291088598[/C][C]2800[/C][/ROW]
[ROW][C]3[/C][C]39822.5[/C][C]1005.9238630144[/C][C]3013[/C][/ROW]
[ROW][C]4[/C][C]38234.5[/C][C]1285.55700697473[/C][C]3676[/C][/ROW]
[ROW][C]5[/C][C]35750.75[/C][C]2035.16352369578[/C][C]5814[/C][/ROW]
[ROW][C]6[/C][C]30691.4166666667[/C][C]2469.67338504262[/C][C]7509[/C][/ROW]
[ROW][C]7[/C][C]25053.9166666667[/C][C]2827.99419628867[/C][C]8093[/C][/ROW]
[ROW][C]8[/C][C]18827.5833333333[/C][C]2860.33012901827[/C][C]8022[/C][/ROW]
[ROW][C]9[/C][C]12065.5833333333[/C][C]2932.18895764467[/C][C]9055[/C][/ROW]
[ROW][C]10[/C][C]6888.83333333333[/C][C]2697.63855767944[/C][C]7508[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235647&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235647&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
140817641.6488702766281909
240363.25900.2102910885982800
339822.51005.92386301443013
438234.51285.557006974733676
535750.752035.163523695785814
630691.41666666672469.673385042627509
725053.91666666672827.994196288678093
818827.58333333332860.330129018278022
912065.58333333332932.188957644679055
106888.833333333332697.638557679447508







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha3764.21910722842
beta-0.062339363678743
S.D.0.0134588028599478
T-STAT-4.63186542870462
p-value0.00168395258971941

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 3764.21910722842 \tabularnewline
beta & -0.062339363678743 \tabularnewline
S.D. & 0.0134588028599478 \tabularnewline
T-STAT & -4.63186542870462 \tabularnewline
p-value & 0.00168395258971941 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235647&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3764.21910722842[/C][/ROW]
[ROW][C]beta[/C][C]-0.062339363678743[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0134588028599478[/C][/ROW]
[ROW][C]T-STAT[/C][C]-4.63186542870462[/C][/ROW]
[ROW][C]p-value[/C][C]0.00168395258971941[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235647&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235647&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha3764.21910722842
beta-0.062339363678743
S.D.0.0134588028599478
T-STAT-4.63186542870462
p-value0.00168395258971941







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha14.0305316305479
beta-0.648449284734683
S.D.0.240032674415033
T-STAT-2.70150422776804
p-value0.0270110454397654
Lambda1.64844928473468

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 14.0305316305479 \tabularnewline
beta & -0.648449284734683 \tabularnewline
S.D. & 0.240032674415033 \tabularnewline
T-STAT & -2.70150422776804 \tabularnewline
p-value & 0.0270110454397654 \tabularnewline
Lambda & 1.64844928473468 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=235647&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]14.0305316305479[/C][/ROW]
[ROW][C]beta[/C][C]-0.648449284734683[/C][/ROW]
[ROW][C]S.D.[/C][C]0.240032674415033[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.70150422776804[/C][/ROW]
[ROW][C]p-value[/C][C]0.0270110454397654[/C][/ROW]
[ROW][C]Lambda[/C][C]1.64844928473468[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=235647&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=235647&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha14.0305316305479
beta-0.648449284734683
S.D.0.240032674415033
T-STAT-2.70150422776804
p-value0.0270110454397654
Lambda1.64844928473468



Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ;
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')