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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationThu, 11 Aug 2016 18:08:46 +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/2016/Aug/11/t14709353635rinn82656ut5e7.htm/, Retrieved Sat, 18 May 2024 14:42:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=296347, Retrieved Sat, 18 May 2024 14:42:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact71

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [Reeks A stap 26] [2016-08-11 17:08:46] [efea2b8bc7c91838390b884e612c3e3f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
40927.00
40856.00
40778.00
40635.00
42103.00
42032.00
40927.00
40194.00
40265.00
40265.00
40336.00
40486.00
40856.00
40414.00
40856.00
40486.00
41661.00
42181.00
39973.00
39381.00
39894.00
39823.00
39381.00
39453.00
40336.00
40194.00
40336.00
40336.00
41298.00
41440.00
38790.00
38790.00
39823.00
39310.00
38427.00
38790.00
39674.00
39232.00
39161.00
38206.00
39602.00
39894.00
37023.00
36952.00
38427.00
37615.00
36218.00
36810.00
37465.00
37615.00
37173.00
36290.00
38128.00
38128.00
34893.00
34673.00
35556.00
33939.00
32314.00
32835.00
33939.00
33055.00
32464.00
31210.00
32906.00
32977.00
29743.00
29664.00
30256.00
28418.00
26430.00
27235.00
28339.00
27164.00
27093.00
25910.00
27826.00
28197.00
24585.00
23780.00
24293.00
22305.00
20246.00
20909.00
22156.00
20688.00
20909.00
20026.00
21864.00
22084.00
17668.00
17375.00
18180.00
16050.00
14134.00
14797.00
16414.00
14504.00
14355.00
12880.00
14504.00
15017.00
10451.00
10451.00
11113.00
9347.00
7359.00
8392.00
10230.00
8242.00
9055.00
7950.00
9717.00
10308.00
5592.00
5229.00
5963.00
4196.00
2800.00
3384.00

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=296347&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=296347&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296347&T=0

As an alternative you can also use a QR Code:  
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'Herman Ole Andreas Wold' @ wold.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=296347&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=296347&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296347&T=1

As an alternative you can also use a QR Code:  
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=296347&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=296347&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296347&T=2

As an alternative you can also use a QR Code:  
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=296347&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=296347&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=296347&T=3

As an alternative you can also use a QR Code:  
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


Figures (Output of Computation)

Input Parameters & R Code

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')