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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 computationFri, 12 Dec 2008 02:35:09 -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/12/t1229074658r29z4jtlnncymbd.htm/, Retrieved Sun, 19 May 2024 06:43:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=32500, Retrieved Sun, 19 May 2024 06:43:14 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact252

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [Airline data] [2007-10-18 09:58:47] [42daae401fd3def69a25014f2252b4c2]
- R PD  [Univariate Data Series] [Tijdreeks 2 Buite...] [2008-12-11 16:25:30] [2d4aec5ed1856c4828162be37be304d9]
- RMP     [Central Tendency] [Central tendency ...] [2008-12-11 17:41:16] [2d4aec5ed1856c4828162be37be304d9]
- RMP       [Blocked Bootstrap Plot - Central Tendency] [Blocked Bootstrap...] [2008-12-12 08:14:08] [2d4aec5ed1856c4828162be37be304d9]
- RMP         [Tukey lambda PPCC Plot] [Tukey Lambda PPCC...] [2008-12-12 08:45:26] [2d4aec5ed1856c4828162be37be304d9]
- RMP             [Standard Deviation-Mean Plot] [SD Mean Plot Tijd...] [2008-12-12 09:35:09] [d7f41258beeebb8716e3f5d39f3cdc01] [Current]
- RMP               [Box-Cox Normality Plot] [Box-Cox Normality...] [2008-12-12 09:46:16] [2d4aec5ed1856c4828162be37be304d9]
- RMP                 [Mean Plot] [Mean plot Yt] [2008-12-22 13:33:34] [2d4aec5ed1856c4828162be37be304d9]
- RMP               [Maximum-likelihood Fitting - Normal Distribution] [ML Fitting - Norm...] [2008-12-12 10:38:01] [2d4aec5ed1856c4828162be37be304d9]
-    D              [Standard Deviation-Mean Plot] [SD Mean Plot Xt] [2008-12-22 11:11:05] [2d4aec5ed1856c4828162be37be304d9]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2220.6
2161.5
1863.6
1955.1
1907.4
1889.4
2246.3
2213
1965
2285.6
1983.8
1872.4
2371.4
2287
2198.2
2330.4
2014.4
2066.1
2355.8
2232.5
2091.7
2376.5
1931.9
2025.7
2404.9
2316.1
2368.1
2282.5
2158.6
2174.8
2594.1
2281.4
2547.9
2606.3
2190.8
2262.3
2423.8
2520.4
2482.9
2215.9
2441.9
2333.8
2670.2
2431
2559.3
2661.4
2404.6
2378.3
2489.2
2941
2700.9
2335.6
2770
2764.2
2784.9
2898.8
2853.4
3022.6
2851.4
2630.8

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=32500&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=32500&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32500&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
12046.975163.780380249117422
22190.13333333333158.295421936519444.6
32348.98333333333159.129586034512447.7
42460.29166666667130.213946036606454.3
52753.56666666667193.517010449555687

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2046.975 & 163.780380249117 & 422 \tabularnewline
2 & 2190.13333333333 & 158.295421936519 & 444.6 \tabularnewline
3 & 2348.98333333333 & 159.129586034512 & 447.7 \tabularnewline
4 & 2460.29166666667 & 130.213946036606 & 454.3 \tabularnewline
5 & 2753.56666666667 & 193.517010449555 & 687 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32500&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]2046.975[/C][C]163.780380249117[/C][C]422[/C][/ROW]
[ROW][C]2[/C][C]2190.13333333333[/C][C]158.295421936519[/C][C]444.6[/C][/ROW]
[ROW][C]3[/C][C]2348.98333333333[/C][C]159.129586034512[/C][C]447.7[/C][/ROW]
[ROW][C]4[/C][C]2460.29166666667[/C][C]130.213946036606[/C][C]454.3[/C][/ROW]
[ROW][C]5[/C][C]2753.56666666667[/C][C]193.517010449555[/C][C]687[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32500&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32500&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
12046.975163.780380249117422
22190.13333333333158.295421936519444.6
32348.98333333333159.129586034512447.7
42460.29166666667130.213946036606454.3
52753.56666666667193.517010449555687






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha85.6415839812027
beta0.0319262729757581
S.D.0.0443965821371062
T-STAT0.719115558877098
p-value0.524023597399721

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 85.6415839812027 \tabularnewline
beta & 0.0319262729757581 \tabularnewline
S.D. & 0.0443965821371062 \tabularnewline
T-STAT & 0.719115558877098 \tabularnewline
p-value & 0.524023597399721 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32500&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]85.6415839812027[/C][/ROW]
[ROW][C]beta[/C][C]0.0319262729757581[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0443965821371062[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.719115558877098[/C][/ROW]
[ROW][C]p-value[/C][C]0.524023597399721[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32500&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32500&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)
alpha85.6415839812027
beta0.0319262729757581
S.D.0.0443965821371062
T-STAT0.719115558877098
p-value0.524023597399721






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha2.31370701337438
beta0.355579666088161
S.D.0.688206821329238
T-STAT0.516675590923927
p-value0.641056919226383
Lambda0.644420333911839

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 2.31370701337438 \tabularnewline
beta & 0.355579666088161 \tabularnewline
S.D. & 0.688206821329238 \tabularnewline
T-STAT & 0.516675590923927 \tabularnewline
p-value & 0.641056919226383 \tabularnewline
Lambda & 0.644420333911839 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32500&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.31370701337438[/C][/ROW]
[ROW][C]beta[/C][C]0.355579666088161[/C][/ROW]
[ROW][C]S.D.[/C][C]0.688206821329238[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.516675590923927[/C][/ROW]
[ROW][C]p-value[/C][C]0.641056919226383[/C][/ROW]
[ROW][C]Lambda[/C][C]0.644420333911839[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32500&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32500&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)
alpha2.31370701337438
beta0.355579666088161
S.D.0.688206821329238
T-STAT0.516675590923927
p-value0.641056919226383
Lambda0.644420333911839


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')