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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationSun, 19 Dec 2010 10:38:54 +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/2010/Dec/19/t1292755088gdiundq3b57rlhg.htm/, Retrieved Sun, 05 May 2024 05:27:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=112263, Retrieved Sun, 05 May 2024 05:27:34 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact156

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Classical Decomposition] [HPC Retail Sales] [2008-03-02 16:19:32] [74be16979710d4c4e7c6647856088456]
- RMPD    [Standard Deviation-Mean Plot] [SDMP huwelijken] [2010-12-19 10:38:54] [3f56c8f677e988de577e4e00a8180a48] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3111
3995
5245
5588
10681
10516
7496
9935
10249
6271
3616
3724
2886
3318
4166
6401
9209
9820
7470
8207
9564
5309
3385
3706
2733
3045
3449
5542
10072
9418
7516
7840
10081
4956
3641
3970
2931
3170
3889
4850
8037
12370
6712
7297
10613
5184
3506
3810
2692
3073
3713
4555
7807
10869
9682
7704
9826
5456
3677
3431
2765
3483
3445
6081
8767
9407
6551
12480
9530
5960
3252
3717
2642
2989
3607
5366
8898
9435
7328
8594
11349
5797
3621
3851

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112263&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112263&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112263&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
16702.252957.388071346997570
26120.083333333332653.359875476356934
36021.916666666672820.299096270517348
46030.753061.079997321219439
56040.416666666672972.180664346498177
66286.53149.807281261979715
76123.083333333332921.858015912398707

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 6702.25 & 2957.38807134699 & 7570 \tabularnewline
2 & 6120.08333333333 & 2653.35987547635 & 6934 \tabularnewline
3 & 6021.91666666667 & 2820.29909627051 & 7348 \tabularnewline
4 & 6030.75 & 3061.07999732121 & 9439 \tabularnewline
5 & 6040.41666666667 & 2972.18066434649 & 8177 \tabularnewline
6 & 6286.5 & 3149.80728126197 & 9715 \tabularnewline
7 & 6123.08333333333 & 2921.85801591239 & 8707 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112263&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]6702.25[/C][C]2957.38807134699[/C][C]7570[/C][/ROW]
[ROW][C]2[/C][C]6120.08333333333[/C][C]2653.35987547635[/C][C]6934[/C][/ROW]
[ROW][C]3[/C][C]6021.91666666667[/C][C]2820.29909627051[/C][C]7348[/C][/ROW]
[ROW][C]4[/C][C]6030.75[/C][C]3061.07999732121[/C][C]9439[/C][/ROW]
[ROW][C]5[/C][C]6040.41666666667[/C][C]2972.18066434649[/C][C]8177[/C][/ROW]
[ROW][C]6[/C][C]6286.5[/C][C]3149.80728126197[/C][C]9715[/C][/ROW]
[ROW][C]7[/C][C]6123.08333333333[/C][C]2921.85801591239[/C][C]8707[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112263&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112263&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
16702.252957.388071346997570
26120.083333333332653.359875476356934
36021.916666666672820.299096270517348
46030.753061.079997321219439
56040.416666666672972.180664346498177
66286.53149.807281261979715
76123.083333333332921.858015912398707






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha2129.40112814238
beta0.129951877782788
S.D.0.290372289409548
T-STAT0.447535396876319
p-value0.673211257618918

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 2129.40112814238 \tabularnewline
beta & 0.129951877782788 \tabularnewline
S.D. & 0.290372289409548 \tabularnewline
T-STAT & 0.447535396876319 \tabularnewline
p-value & 0.673211257618918 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112263&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2129.40112814238[/C][/ROW]
[ROW][C]beta[/C][C]0.129951877782788[/C][/ROW]
[ROW][C]S.D.[/C][C]0.290372289409548[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.447535396876319[/C][/ROW]
[ROW][C]p-value[/C][C]0.673211257618918[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112263&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112263&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)
alpha2129.40112814238
beta0.129951877782788
S.D.0.290372289409548
T-STAT0.447535396876319
p-value0.673211257618918






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha5.43918379874472
beta0.291355575790503
S.D.0.637964089711768
T-STAT0.456695886945827
p-value0.667044211050864
Lambda0.708644424209497

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 5.43918379874472 \tabularnewline
beta & 0.291355575790503 \tabularnewline
S.D. & 0.637964089711768 \tabularnewline
T-STAT & 0.456695886945827 \tabularnewline
p-value & 0.667044211050864 \tabularnewline
Lambda & 0.708644424209497 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112263&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5.43918379874472[/C][/ROW]
[ROW][C]beta[/C][C]0.291355575790503[/C][/ROW]
[ROW][C]S.D.[/C][C]0.637964089711768[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.456695886945827[/C][/ROW]
[ROW][C]p-value[/C][C]0.667044211050864[/C][/ROW]
[ROW][C]Lambda[/C][C]0.708644424209497[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112263&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112263&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)
alpha5.43918379874472
beta0.291355575790503
S.D.0.637964089711768
T-STAT0.456695886945827
p-value0.667044211050864
Lambda0.708644424209497


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 48 ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
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')