FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 computationWed, 03 Dec 2008 09:25:18 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Dec/03/t1228321549szgqagqocymzh9z.htm/, Retrieved Fri, 17 May 2024 06:38:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=28768, Retrieved Fri, 17 May 2024 06:38:50 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact218

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] [Uitvoer.Nederland] [2008-12-03 15:11:10] [988ab43f527fc78aae41c84649095267]
-   P   [Univariate Data Series] [Export From Belgi...] [2008-12-03 15:52:29] [988ab43f527fc78aae41c84649095267]
- RMP       [Standard Deviation-Mean Plot] [standard deviatio...] [2008-12-03 16:25:18] [5d823194959040fa9b19b8c8302177e6] [Current]
- RMPD        [Univariate Data Series] [Total unemployment] [2008-12-05 12:41:58] [6743688719638b0cb1c0a6e0bf433315]
-   PD        [Standard Deviation-Mean Plot] [Standard deviatio...] [2008-12-11 17:25:17] [988ab43f527fc78aae41c84649095267]
-    D          [Standard Deviation-Mean Plot] [Standard deviatio...] [2008-12-12 11:28:56] [988ab43f527fc78aae41c84649095267]
-    D          [Standard Deviation-Mean Plot] [Standard deviatio...] [2008-12-12 11:34:29] [988ab43f527fc78aae41c84649095267]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2236
2084.9
2409.5
2199.3
2203.5
2254.1
1975.8
1742.2
2520.6
2438.1
2126.3
2267.5
2201.1
2128.5
2596
2458.2
2210.5
2621.2
2231.4
2103.6
2685.8
2539.3
2462.4
2693.3
2307.7
2385.9
2737.6
2653.9
2545.4
2848.8
2359.5
2488.3
2861.1
2717.9
2844
2749
2652.9
2660.2
3187.1
2774.1
3158.2
3244.6
2665.5
2820.8
2983.4
3077.4
3024.8
2731.8
3046.2
2834.8
3292.8
2946.1
3196.9
3284.2
3003
2979
3137.4
3630.2
3270.7
2942.3

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'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=28768&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=28768&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=28768&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'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
12204.81666666667211.145317616837778.4
22410.94166666667222.743931488944589.7
32624.925201.059096355456553.4
42915.06666666667222.197190610393591.7
53130.3218.871751572385795.4

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2204.81666666667 & 211.145317616837 & 778.4 \tabularnewline
2 & 2410.94166666667 & 222.743931488944 & 589.7 \tabularnewline
3 & 2624.925 & 201.059096355456 & 553.4 \tabularnewline
4 & 2915.06666666667 & 222.197190610393 & 591.7 \tabularnewline
5 & 3130.3 & 218.871751572385 & 795.4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=28768&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]2204.81666666667[/C][C]211.145317616837[/C][C]778.4[/C][/ROW]
[ROW][C]2[/C][C]2410.94166666667[/C][C]222.743931488944[/C][C]589.7[/C][/ROW]
[ROW][C]3[/C][C]2624.925[/C][C]201.059096355456[/C][C]553.4[/C][/ROW]
[ROW][C]4[/C][C]2915.06666666667[/C][C]222.197190610393[/C][C]591.7[/C][/ROW]
[ROW][C]5[/C][C]3130.3[/C][C]218.871751572385[/C][C]795.4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=28768&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=28768&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
12204.81666666667211.145317616837778.4
22410.94166666667222.743931488944589.7
32624.925201.059096355456553.4
42915.06666666667222.197190610393591.7
53130.3218.871751572385795.4






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha196.231703427952
beta0.00713972704485198
S.D.0.0135670841227650
T-STAT0.526253613543371
p-value0.635137759308965

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 196.231703427952 \tabularnewline
beta & 0.00713972704485198 \tabularnewline
S.D. & 0.0135670841227650 \tabularnewline
T-STAT & 0.526253613543371 \tabularnewline
p-value & 0.635137759308965 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=28768&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]196.231703427952[/C][/ROW]
[ROW][C]beta[/C][C]0.00713972704485198[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0135670841227650[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.526253613543371[/C][/ROW]
[ROW][C]p-value[/C][C]0.635137759308965[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=28768&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=28768&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)
alpha196.231703427952
beta0.00713972704485198
S.D.0.0135670841227650
T-STAT0.526253613543371
p-value0.635137759308965






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha4.70378899985563
beta0.0846827758910149
S.D.0.170105894406529
T-STAT0.497823877217534
p-value0.652811917023935
Lambda0.915317224108985

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 4.70378899985563 \tabularnewline
beta & 0.0846827758910149 \tabularnewline
S.D. & 0.170105894406529 \tabularnewline
T-STAT & 0.497823877217534 \tabularnewline
p-value & 0.652811917023935 \tabularnewline
Lambda & 0.915317224108985 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=28768&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.70378899985563[/C][/ROW]
[ROW][C]beta[/C][C]0.0846827758910149[/C][/ROW]
[ROW][C]S.D.[/C][C]0.170105894406529[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.497823877217534[/C][/ROW]
[ROW][C]p-value[/C][C]0.652811917023935[/C][/ROW]
[ROW][C]Lambda[/C][C]0.915317224108985[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=28768&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=28768&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)
alpha4.70378899985563
beta0.0846827758910149
S.D.0.170105894406529
T-STAT0.497823877217534
p-value0.652811917023935
Lambda0.915317224108985


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 4 ;
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')