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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 16:41:03 -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/22/t1229902895tt9rb198uti46us.htm/, Retrieved Sun, 12 May 2024 19:38:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35910, Retrieved Sun, 12 May 2024 19:38:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact178

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] [SD mean plot hand...] [2008-12-21 23:41:03] [ba85d9d0a82357dd3edf208eef933423] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1384,2
1368,9
-275,1
-408,9
-37,5
171,5
671,8
-18,5
231,6
747,5
1505,7
-83,6
1173,2
1452,1
777
-52,8
861,2
735,2
1073,6
966,9
1189,8
1093,5
1782,7
-70,4
1471,6
1273,8
900,8
-910,2
299,8
460,2
677,2
937,1
1265,4
1275,6
1582,6
-154,2
1667,6
1083,1
891,7
-26,5
423,4
662,8
711,4
993,3
1133,2
343,9
1415,8
-531,8
1193,6
1201,3
805,6
-164,8
327,3
223,7
675,8
949,7
704,4
265,6
1206
-558,2
1066,8
977,8
207,1
-980,7
-586,4
-24,3
-417,5
104,7
749,5
842,3
1176
-730,3
911,6
662,1
539,1
-236
286,9
497,4
912
519,4
260,1
945,2
412,7
-54,2
592,8
179,9
-548,6
-1685,8
-2041
-1048,7
-1708,4
-1550,7
-1650,2
-911,3

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'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=35910&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=35910&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35910&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
1438.133333333333680.7908841037661914.6
2915.166666666667539.7969270237121853.1
3756.641666666667735.6636823716432492.8
4730.658333333333613.8184428911642199.4
5569.166666666667564.4863623980061764.2
6198.75759.3092943889562156.7
7471.358333333333371.1314823576271181.2

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 438.133333333333 & 680.790884103766 & 1914.6 \tabularnewline
2 & 915.166666666667 & 539.796927023712 & 1853.1 \tabularnewline
3 & 756.641666666667 & 735.663682371643 & 2492.8 \tabularnewline
4 & 730.658333333333 & 613.818442891164 & 2199.4 \tabularnewline
5 & 569.166666666667 & 564.486362398006 & 1764.2 \tabularnewline
6 & 198.75 & 759.309294388956 & 2156.7 \tabularnewline
7 & 471.358333333333 & 371.131482357627 & 1181.2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35910&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]438.133333333333[/C][C]680.790884103766[/C][C]1914.6[/C][/ROW]
[ROW][C]2[/C][C]915.166666666667[/C][C]539.796927023712[/C][C]1853.1[/C][/ROW]
[ROW][C]3[/C][C]756.641666666667[/C][C]735.663682371643[/C][C]2492.8[/C][/ROW]
[ROW][C]4[/C][C]730.658333333333[/C][C]613.818442891164[/C][C]2199.4[/C][/ROW]
[ROW][C]5[/C][C]569.166666666667[/C][C]564.486362398006[/C][C]1764.2[/C][/ROW]
[ROW][C]6[/C][C]198.75[/C][C]759.309294388956[/C][C]2156.7[/C][/ROW]
[ROW][C]7[/C][C]471.358333333333[/C][C]371.131482357627[/C][C]1181.2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35910&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35910&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
1438.133333333333680.7908841037661914.6
2915.166666666667539.7969270237121853.1
3756.641666666667735.6636823716432492.8
4730.658333333333613.8184428911642199.4
5569.166666666667564.4863623980061764.2
6198.75759.3092943889562156.7
7471.358333333333371.1314823576271181.2






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha679.287542220032
beta-0.120105571863195
S.D.0.243919356593905
T-STAT-0.492398690863865
p-value0.64329488464646

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 679.287542220032 \tabularnewline
beta & -0.120105571863195 \tabularnewline
S.D. & 0.243919356593905 \tabularnewline
T-STAT & -0.492398690863865 \tabularnewline
p-value & 0.64329488464646 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35910&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]679.287542220032[/C][/ROW]
[ROW][C]beta[/C][C]-0.120105571863195[/C][/ROW]
[ROW][C]S.D.[/C][C]0.243919356593905[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.492398690863865[/C][/ROW]
[ROW][C]p-value[/C][C]0.64329488464646[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35910&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35910&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)
alpha679.287542220032
beta-0.120105571863195
S.D.0.243919356593905
T-STAT-0.492398690863865
p-value0.64329488464646






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha7.12281232144587
beta-0.117038170673404
S.D.0.208994822972441
T-STAT-0.560005118829362
p-value0.599635908229988
Lambda1.11703817067340

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 7.12281232144587 \tabularnewline
beta & -0.117038170673404 \tabularnewline
S.D. & 0.208994822972441 \tabularnewline
T-STAT & -0.560005118829362 \tabularnewline
p-value & 0.599635908229988 \tabularnewline
Lambda & 1.11703817067340 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35910&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]7.12281232144587[/C][/ROW]
[ROW][C]beta[/C][C]-0.117038170673404[/C][/ROW]
[ROW][C]S.D.[/C][C]0.208994822972441[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.560005118829362[/C][/ROW]
[ROW][C]p-value[/C][C]0.599635908229988[/C][/ROW]
[ROW][C]Lambda[/C][C]1.11703817067340[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35910&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35910&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)
alpha7.12281232144587
beta-0.117038170673404
S.D.0.208994822972441
T-STAT-0.560005118829362
p-value0.599635908229988
Lambda1.11703817067340


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')