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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 17:02:21 +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/t12927782735bvu9dp2uptr8rp.htm/, Retrieved Sat, 04 May 2024 23:39:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=112623, Retrieved Sat, 04 May 2024 23:39:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact138

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [Unemployment] [2010-11-29 10:34:47] [b98453cac15ba1066b407e146608df68]
-   PD    [Standard Deviation-Mean Plot] [Standard Deviatio...] [2010-12-06 12:09:10] [f4dc4aa51d65be851b8508203d9f6001]
-   PD        [Standard Deviation-Mean Plot] [SMP BRU Passengers] [2010-12-19 17:02:21] [7a87ed98a7b21a29d6a45388a9b7b229] [Current]
-    D          [Standard Deviation-Mean Plot] [Review SMP] [2010-12-26 20:12:20] [f4dc4aa51d65be851b8508203d9f6001]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
989236
1008380
1207763
1368839
1469798
1498721
1761769
1653214
1599104
1421179
1163995
1037735
1015407
1039210
1258049
1469445
1552346
1549144
1785895
1662335
1629440
1467430
1202209
1076982
1039367
1063449
1335135
1491602
1591972
1641248
1898849
1798580
1762444
1622044
1368955
1262973
1195650
1269530
1479279
1607819
1712466
1721766
1949843
1821326
1757802
1590367
1260647
1149235
1016367
1027885
1262159
1520854
1544144
1564709
1821776
1741365
1623386
1498658
1241822
1136029

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112623&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112623&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112623&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'George Udny Yule' @ 72.249.76.132






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
11348311.08333333263644.976474204772533
21392324.33333333263919.094020853770488
31489718.16666667280017.614230648859482
41542977.5268077.320340606800608
51416596.16666667271797.345768977805409

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1348311.08333333 & 263644.976474204 & 772533 \tabularnewline
2 & 1392324.33333333 & 263919.094020853 & 770488 \tabularnewline
3 & 1489718.16666667 & 280017.614230648 & 859482 \tabularnewline
4 & 1542977.5 & 268077.320340606 & 800608 \tabularnewline
5 & 1416596.16666667 & 271797.345768977 & 805409 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112623&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]1348311.08333333[/C][C]263644.976474204[/C][C]772533[/C][/ROW]
[ROW][C]2[/C][C]1392324.33333333[/C][C]263919.094020853[/C][C]770488[/C][/ROW]
[ROW][C]3[/C][C]1489718.16666667[/C][C]280017.614230648[/C][C]859482[/C][/ROW]
[ROW][C]4[/C][C]1542977.5[/C][C]268077.320340606[/C][C]800608[/C][/ROW]
[ROW][C]5[/C][C]1416596.16666667[/C][C]271797.345768977[/C][C]805409[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112623&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112623&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
11348311.08333333263644.976474204772533
21392324.33333333263919.094020853770488
31489718.16666667280017.614230648859482
41542977.5268077.320340606800608
51416596.16666667271797.345768977805409






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha202844.779386498
beta0.0463471245696955
S.D.0.0424354601680613
T-STAT1.09217914419079
p-value0.354614468952245

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 202844.779386498 \tabularnewline
beta & 0.0463471245696955 \tabularnewline
S.D. & 0.0424354601680613 \tabularnewline
T-STAT & 1.09217914419079 \tabularnewline
p-value & 0.354614468952245 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112623&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]202844.779386498[/C][/ROW]
[ROW][C]beta[/C][C]0.0463471245696955[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0424354601680613[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.09217914419079[/C][/ROW]
[ROW][C]p-value[/C][C]0.354614468952245[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112623&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112623&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)
alpha202844.779386498
beta0.0463471245696955
S.D.0.0424354601680613
T-STAT1.09217914419079
p-value0.354614468952245






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha8.91607662532226
beta0.253073011929039
S.D.0.223502317815904
T-STAT1.13230598412626
p-value0.339826327844031
Lambda0.746926988070961

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 8.91607662532226 \tabularnewline
beta & 0.253073011929039 \tabularnewline
S.D. & 0.223502317815904 \tabularnewline
T-STAT & 1.13230598412626 \tabularnewline
p-value & 0.339826327844031 \tabularnewline
Lambda & 0.746926988070961 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112623&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]8.91607662532226[/C][/ROW]
[ROW][C]beta[/C][C]0.253073011929039[/C][/ROW]
[ROW][C]S.D.[/C][C]0.223502317815904[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.13230598412626[/C][/ROW]
[ROW][C]p-value[/C][C]0.339826327844031[/C][/ROW]
[ROW][C]Lambda[/C][C]0.746926988070961[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112623&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112623&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)
alpha8.91607662532226
beta0.253073011929039
S.D.0.223502317815904
T-STAT1.13230598412626
p-value0.339826327844031
Lambda0.746926988070961


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')