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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 computationTue, 10 May 2011 15:06:29 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/May/10/t1305039760x1khxzzr693gx2d.htm/, Retrieved Sun, 12 May 2024 16:19:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=121407, Retrieved Sun, 12 May 2024 16:19:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact121

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Mean versus Median] [] [2011-04-04 18:06:49] [9287d6673621c679f6316b90c6bec81c]
- RMPD    [Standard Deviation-Mean Plot] [] [2011-05-10 15:06:29] [cedc01334dbefab590f7f4b747b64ab1] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2851
2672
2755
2721
2946
3036
2282
2212
2922
4301
5764
7132
2541
2475
3031
3266
3776
3230
3028
1759
3595
4474
6838
8357
3113
3006
4047
3523
3937
3986
3260
1573
3528
5211
7614
9254
5375
3088
3718
4514
4520
4539
3663
1643
4734
5428
8314
10651
3633
4292
4154
4121
4647
4753
3965
1723
5048
6923
9858
11331
4016
3957
4510
4276
4968
4677
3523
1821
5222
6872
10803
13916
2639
2899
3370
3740
2927
3986
4217
1738
5221
6424
9842
13076
3934
3162
4286
4676
5010
4874
4633
1659
5951
6981
9851
12670

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' @ www.yougetit.org

\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' @ www.yougetit.org \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121407&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' @ www.yougetit.org[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121407&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121407&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' @ www.yougetit.org






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
13466.166666666671513.947269006864920
23864.166666666671900.883757783756598
34337.666666666672119.889119455997681
45015.583333333332380.669327514789008
55370.666666666672723.418885196049608
65713.416666666673382.1627953489212095
75006.583333333333324.2239957984811338
85640.583333333332995.5727471275611011

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3466.16666666667 & 1513.94726900686 & 4920 \tabularnewline
2 & 3864.16666666667 & 1900.88375778375 & 6598 \tabularnewline
3 & 4337.66666666667 & 2119.88911945599 & 7681 \tabularnewline
4 & 5015.58333333333 & 2380.66932751478 & 9008 \tabularnewline
5 & 5370.66666666667 & 2723.41888519604 & 9608 \tabularnewline
6 & 5713.41666666667 & 3382.16279534892 & 12095 \tabularnewline
7 & 5006.58333333333 & 3324.22399579848 & 11338 \tabularnewline
8 & 5640.58333333333 & 2995.57274712756 & 11011 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121407&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]3466.16666666667[/C][C]1513.94726900686[/C][C]4920[/C][/ROW]
[ROW][C]2[/C][C]3864.16666666667[/C][C]1900.88375778375[/C][C]6598[/C][/ROW]
[ROW][C]3[/C][C]4337.66666666667[/C][C]2119.88911945599[/C][C]7681[/C][/ROW]
[ROW][C]4[/C][C]5015.58333333333[/C][C]2380.66932751478[/C][C]9008[/C][/ROW]
[ROW][C]5[/C][C]5370.66666666667[/C][C]2723.41888519604[/C][C]9608[/C][/ROW]
[ROW][C]6[/C][C]5713.41666666667[/C][C]3382.16279534892[/C][C]12095[/C][/ROW]
[ROW][C]7[/C][C]5006.58333333333[/C][C]3324.22399579848[/C][C]11338[/C][/ROW]
[ROW][C]8[/C][C]5640.58333333333[/C][C]2995.57274712756[/C][C]11011[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121407&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121407&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
13466.166666666671513.947269006864920
23864.166666666671900.883757783756598
34337.666666666672119.889119455997681
45015.583333333332380.669327514789008
55370.666666666672723.418885196049608
65713.416666666673382.1627953489212095
75006.583333333333324.2239957984811338
85640.583333333332995.5727471275611011






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-986.280908578696
beta0.734898806429685
S.D.0.146706509581712
T-STAT5.00931286910868
p-value0.00242972177851931

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -986.280908578696 \tabularnewline
beta & 0.734898806429685 \tabularnewline
S.D. & 0.146706509581712 \tabularnewline
T-STAT & 5.00931286910868 \tabularnewline
p-value & 0.00242972177851931 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121407&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-986.280908578696[/C][/ROW]
[ROW][C]beta[/C][C]0.734898806429685[/C][/ROW]
[ROW][C]S.D.[/C][C]0.146706509581712[/C][/ROW]
[ROW][C]T-STAT[/C][C]5.00931286910868[/C][/ROW]
[ROW][C]p-value[/C][C]0.00242972177851931[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121407&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121407&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)
alpha-986.280908578696
beta0.734898806429685
S.D.0.146706509581712
T-STAT5.00931286910868
p-value0.00242972177851931






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-4.42212594888517
beta1.4450786701573
S.D.0.233656275294139
T-STAT6.18463453779771
p-value0.00082223763975721
Lambda-0.445078670157299

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.42212594888517 \tabularnewline
beta & 1.4450786701573 \tabularnewline
S.D. & 0.233656275294139 \tabularnewline
T-STAT & 6.18463453779771 \tabularnewline
p-value & 0.00082223763975721 \tabularnewline
Lambda & -0.445078670157299 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121407&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.42212594888517[/C][/ROW]
[ROW][C]beta[/C][C]1.4450786701573[/C][/ROW]
[ROW][C]S.D.[/C][C]0.233656275294139[/C][/ROW]
[ROW][C]T-STAT[/C][C]6.18463453779771[/C][/ROW]
[ROW][C]p-value[/C][C]0.00082223763975721[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.445078670157299[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121407&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121407&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)
alpha-4.42212594888517
beta1.4450786701573
S.D.0.233656275294139
T-STAT6.18463453779771
p-value0.00082223763975721
Lambda-0.445078670157299


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')