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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, 21 Dec 2008 03:55:25 -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/21/t12298577628lsjtfnb2au2tle.htm/, Retrieved Sun, 19 May 2024 08:47:30 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35493, Retrieved Sun, 19 May 2024 08:47:30 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact194

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [SMP inschrijvinge...] [2008-12-21 10:55:25] [d6e9f26c3644bfc30f06303d9993b878] [Current]
- RM      [Variance Reduction Matrix] [VRM inschrijvinge...] [2008-12-21 11:14:53] [8d78428855b119373cac369316c08983]
- RMP       [(Partial) Autocorrelation Function] [(P)ACF inschrijvi...] [2008-12-21 11:27:19] [8d78428855b119373cac369316c08983]
- RMP       [(Partial) Autocorrelation Function] [(P)ACF inschrijvi...] [2008-12-21 11:35:27] [8d78428855b119373cac369316c08983]
- RMP       [(Partial) Autocorrelation Function] [(P)ACF inschrijvi...] [2008-12-21 11:44:38] [8d78428855b119373cac369316c08983]
-    D    [Standard Deviation-Mean Plot] [Standard deviatio...] [2008-12-21 13:36:43] [8d78428855b119373cac369316c08983]
- RM        [Variance Reduction Matrix] [variance reductio...] [2008-12-21 14:07:07] [8d78428855b119373cac369316c08983]
- RMP         [(Partial) Autocorrelation Function] [(P)ACF inschrijvi...] [2008-12-21 14:18:33] [8d78428855b119373cac369316c08983]
-   P           [(Partial) Autocorrelation Function] [(P)ACF inschrijvi...] [2008-12-21 14:39:27] [8d78428855b119373cac369316c08983]
- RM            [Spectral Analysis] [spectrum (d=0, D=0)] [2008-12-21 14:50:56] [8d78428855b119373cac369316c08983]
-                 [Spectral Analysis] [spectrum (d=0, D=1)] [2008-12-21 15:01:29] [8d78428855b119373cac369316c08983]
- RM              [ARIMA Backward Selection] [Arima backward se...] [2008-12-21 15:23:44] [8d78428855b119373cac369316c08983]
- RM                [ARIMA Forecasting] [ARIMA forecasting] [2008-12-21 16:05:45] [8d78428855b119373cac369316c08983]
- RMPD              [Central Tendency] [central tendency ...] [2008-12-22 13:25:19] [8d78428855b119373cac369316c08983]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
11.514
31.514
27.071
29.462
26.105
22.397
23.843
21.705
18.089
20.764
25.316
17704
15548
28029
29383
36438
32034
22679
24319
18004
17537
20366
22782
19169
13807
29743
25591
29096
26482
22405
27044
17970
18730
19684
19785
18479
10698
31956
29506
34506
27165
26736
23691
18157
17328
18205
20995
17382
9367
31124
26551
30651
25859
25100
25778
20418
18688
20424
24776
19814
12738

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35493&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]3 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=35493&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35493&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 time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
11496.8155103.9423512165217692.486
223857.33333333336419.0612218374220890
322401.33333333335078.3907675442615936
423027.08333333337085.4461520953223808
523212.55938.8196944878221757

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1496.815 & 5103.94235121652 & 17692.486 \tabularnewline
2 & 23857.3333333333 & 6419.06122183742 & 20890 \tabularnewline
3 & 22401.3333333333 & 5078.39076754426 & 15936 \tabularnewline
4 & 23027.0833333333 & 7085.44615209532 & 23808 \tabularnewline
5 & 23212.5 & 5938.81969448782 & 21757 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35493&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]1496.815[/C][C]5103.94235121652[/C][C]17692.486[/C][/ROW]
[ROW][C]2[/C][C]23857.3333333333[/C][C]6419.06122183742[/C][C]20890[/C][/ROW]
[ROW][C]3[/C][C]22401.3333333333[/C][C]5078.39076754426[/C][C]15936[/C][/ROW]
[ROW][C]4[/C][C]23027.0833333333[/C][C]7085.44615209532[/C][C]23808[/C][/ROW]
[ROW][C]5[/C][C]23212.5[/C][C]5938.81969448782[/C][C]21757[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35493&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35493&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
11496.8155103.9423512165217692.486
223857.33333333336419.0612218374220890
322401.33333333335078.3907675442615936
423027.08333333337085.4461520953223808
523212.55938.8196944878221757






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha4992.26126496848
beta0.0496233909975908
S.D.0.0427510847810402
T-STAT1.16075162190033
p-value0.329716301841424

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 4992.26126496848 \tabularnewline
beta & 0.0496233909975908 \tabularnewline
S.D. & 0.0427510847810402 \tabularnewline
T-STAT & 1.16075162190033 \tabularnewline
p-value & 0.329716301841424 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35493&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4992.26126496848[/C][/ROW]
[ROW][C]beta[/C][C]0.0496233909975908[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0427510847810402[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.16075162190033[/C][/ROW]
[ROW][C]p-value[/C][C]0.329716301841424[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35493&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35493&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)
alpha4992.26126496848
beta0.0496233909975908
S.D.0.0427510847810402
T-STAT1.16075162190033
p-value0.329716301841424






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha8.05746813485714
beta0.065367620224601
S.D.0.0570071257829544
T-STAT1.14665700694116
p-value0.334687543826487
Lambda0.934632379775399

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 8.05746813485714 \tabularnewline
beta & 0.065367620224601 \tabularnewline
S.D. & 0.0570071257829544 \tabularnewline
T-STAT & 1.14665700694116 \tabularnewline
p-value & 0.334687543826487 \tabularnewline
Lambda & 0.934632379775399 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35493&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]8.05746813485714[/C][/ROW]
[ROW][C]beta[/C][C]0.065367620224601[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0570071257829544[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.14665700694116[/C][/ROW]
[ROW][C]p-value[/C][C]0.334687543826487[/C][/ROW]
[ROW][C]Lambda[/C][C]0.934632379775399[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35493&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35493&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)
alpha8.05746813485714
beta0.065367620224601
S.D.0.0570071257829544
T-STAT1.14665700694116
p-value0.334687543826487
Lambda0.934632379775399


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')