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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 computationWed, 04 Dec 2013 13:39:01 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Dec/04/t1386182360ehni3uadlza6qu3.htm/, Retrieved Thu, 28 Mar 2024 09:09:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=230756, Retrieved Thu, 28 Mar 2024 09:09:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact85
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Spectral Analysis] [Spectrale analyse] [2013-12-04 17:49:56] [947cbe24e101527daf12b807d6a22f40]
- RMP   [(Partial) Autocorrelation Function] [Autocorrelatie] [2013-12-04 18:17:25] [947cbe24e101527daf12b807d6a22f40]
- RMP       [Standard Deviation-Mean Plot] [Standard deviatio...] [2013-12-04 18:39:01] [46d3d8bfbaf7691f7408e38ca0da8f78] [Current]
- RM          [Standard Deviation-Mean Plot] [Standard deviatio...] [2013-12-04 18:39:31] [947cbe24e101527daf12b807d6a22f40]
- RMP         [Histogram] [Histogram] [2013-12-04 19:32:37] [947cbe24e101527daf12b807d6a22f40]
- RM            [Histogram] [Histogram] [2013-12-04 19:33:05] [947cbe24e101527daf12b807d6a22f40]
- RMP           [Skewness and Kurtosis Test] [Skewness and Kurt...] [2013-12-04 19:40:53] [947cbe24e101527daf12b807d6a22f40]
- RM              [Skewness and Kurtosis Test] [Skewness and Kurt...] [2013-12-04 19:41:11] [947cbe24e101527daf12b807d6a22f40]
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Dataseries X:
9700
9081
9084
9743
8587
9731
9563
9998
9437
10038
9918
9252
9737
9035
9133
9487
8700
9627
8947
9283
8829
9947
9628
9318
9605
8640
9214
9567
8547
9185
9470
9123
9278
10170
9434
9655
9429
8739
9552
9687
9019
9672
9206
9069
9788
10312
10105
9863
9656
9295
9946
9701
9049
10190
9706
9765
9893
9994
10433
10073
10112
9266
9820
10097
9115
10411
9678
10408
10153
10368
10581
10597
10680
9738
9556




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 4 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230756&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230756&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230756&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 time4 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
19511438.4640547099921451
29305.91666666667388.9165506035111247
39324441.3024112576521623
49536.75465.0368753707021573
59808.41666666667375.825505528911384
610050.5489.6754955162561482

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 9511 & 438.464054709992 & 1451 \tabularnewline
2 & 9305.91666666667 & 388.916550603511 & 1247 \tabularnewline
3 & 9324 & 441.302411257652 & 1623 \tabularnewline
4 & 9536.75 & 465.036875370702 & 1573 \tabularnewline
5 & 9808.41666666667 & 375.82550552891 & 1384 \tabularnewline
6 & 10050.5 & 489.675495516256 & 1482 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230756&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]9511[/C][C]438.464054709992[/C][C]1451[/C][/ROW]
[ROW][C]2[/C][C]9305.91666666667[/C][C]388.916550603511[/C][C]1247[/C][/ROW]
[ROW][C]3[/C][C]9324[/C][C]441.302411257652[/C][C]1623[/C][/ROW]
[ROW][C]4[/C][C]9536.75[/C][C]465.036875370702[/C][C]1573[/C][/ROW]
[ROW][C]5[/C][C]9808.41666666667[/C][C]375.82550552891[/C][C]1384[/C][/ROW]
[ROW][C]6[/C][C]10050.5[/C][C]489.675495516256[/C][C]1482[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230756&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230756&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
19511438.4640547099921451
29305.91666666667388.9165506035111247
39324441.3024112576521623
49536.75465.0368753707021573
59808.41666666667375.825505528911384
610050.5489.6754955162561482







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-63.9320339299969
beta0.0518420268246783
S.D.0.070768219351561
T-STAT0.732560848636567
p-value0.504439846744941

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -63.9320339299969 \tabularnewline
beta & 0.0518420268246783 \tabularnewline
S.D. & 0.070768219351561 \tabularnewline
T-STAT & 0.732560848636567 \tabularnewline
p-value & 0.504439846744941 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230756&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-63.9320339299969[/C][/ROW]
[ROW][C]beta[/C][C]0.0518420268246783[/C][/ROW]
[ROW][C]S.D.[/C][C]0.070768219351561[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.732560848636567[/C][/ROW]
[ROW][C]p-value[/C][C]0.504439846744941[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230756&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230756&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)
alpha-63.9320339299969
beta0.0518420268246783
S.D.0.070768219351561
T-STAT0.732560848636567
p-value0.504439846744941







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-3.6360887581586
beta1.05834855630327
S.D.1.61914610202503
T-STAT0.653646113207211
p-value0.549010378006812
Lambda-0.0583485563032704

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -3.6360887581586 \tabularnewline
beta & 1.05834855630327 \tabularnewline
S.D. & 1.61914610202503 \tabularnewline
T-STAT & 0.653646113207211 \tabularnewline
p-value & 0.549010378006812 \tabularnewline
Lambda & -0.0583485563032704 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230756&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.6360887581586[/C][/ROW]
[ROW][C]beta[/C][C]1.05834855630327[/C][/ROW]
[ROW][C]S.D.[/C][C]1.61914610202503[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.653646113207211[/C][/ROW]
[ROW][C]p-value[/C][C]0.549010378006812[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.0583485563032704[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230756&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230756&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)
alpha-3.6360887581586
beta1.05834855630327
S.D.1.61914610202503
T-STAT0.653646113207211
p-value0.549010378006812
Lambda-0.0583485563032704



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')