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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 computationSat, 17 Dec 2016 00:58:42 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/17/t148193278579tlcc0v37b6exm.htm/, Retrieved Fri, 01 Nov 2024 03:34:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300586, Retrieved Fri, 01 Nov 2024 03:34:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact141

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] [Standard Deviatio...] [2016-12-16 23:58:42] [8dbd6448339a84ba150e9d534057ba9c] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
4751.5
4649.2
4664.9
4691.3
4713.7
4772.8
4748.9
4801
4891.9
4891.9
4903.5
4976.4
5009.8
4946.4
4981.9
5013.8
5015.5
5070.7
5000.9
5059.1
5156.8
5002.6
5059.1
5164.1
5087.9
5140.8
5192.8
5177.6
5167.8
5248.4
5097.5
5187.3
5261.5
5179.7
5205.6
5353.3
5425.7
5215.2
5215.6
5216.4
5208.2
5237.5
5175
5300.2
5279.3
5262.6
5220.5
5372.1
5406
5317.2
5258.4
5204.2
5304.2
5300.2
5228.8
5303.3
5296
5341.1
5354.8
5447.8
5405.6
5333.4
5291.9
5414.4
5317.2
5380.5
5431.5
5363.5
5435.4
5499.8
5447.4
5633
5617.4
5567.8
5574
5710.4
5583.1
5610.8
5620.1
5759.4
5838.7
5843.3
5821
5895.1
5881.6
5827.7
5865.9
5918.4
5875.2
6078.4
5986.3
6019.7
6255.7
6128.4
6210
6301.8
6305.7
6261.2
6200.5
6185.5
6237.4
6399
6182.5
6292.3
6419.8
6273.7
6344.8
6490.4
6355.4
6383.1
6377.3
6324.9
6342.2
6364.1
6249.5
6439.2
6409.4

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300586&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=300586&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300586&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
14788.08333333333105.734090428716327.2
25040.0583333333366.0426784646709217.700000000001
35191.6833333333372.3427301534896265.400000000001
45260.6916666666773.7727155566749250.7
55313.568.6917621103011243.6
65412.891.3053617862013341.1
75703.425122.160551027215327.3
86029.09166666667164.466351675148474.1
96299.497.9017782362414307.9

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 4788.08333333333 & 105.734090428716 & 327.2 \tabularnewline
2 & 5040.05833333333 & 66.0426784646709 & 217.700000000001 \tabularnewline
3 & 5191.68333333333 & 72.3427301534896 & 265.400000000001 \tabularnewline
4 & 5260.69166666667 & 73.7727155566749 & 250.7 \tabularnewline
5 & 5313.5 & 68.6917621103011 & 243.6 \tabularnewline
6 & 5412.8 & 91.3053617862013 & 341.1 \tabularnewline
7 & 5703.425 & 122.160551027215 & 327.3 \tabularnewline
8 & 6029.09166666667 & 164.466351675148 & 474.1 \tabularnewline
9 & 6299.4 & 97.9017782362414 & 307.9 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300586&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]4788.08333333333[/C][C]105.734090428716[/C][C]327.2[/C][/ROW]
[ROW][C]2[/C][C]5040.05833333333[/C][C]66.0426784646709[/C][C]217.700000000001[/C][/ROW]
[ROW][C]3[/C][C]5191.68333333333[/C][C]72.3427301534896[/C][C]265.400000000001[/C][/ROW]
[ROW][C]4[/C][C]5260.69166666667[/C][C]73.7727155566749[/C][C]250.7[/C][/ROW]
[ROW][C]5[/C][C]5313.5[/C][C]68.6917621103011[/C][C]243.6[/C][/ROW]
[ROW][C]6[/C][C]5412.8[/C][C]91.3053617862013[/C][C]341.1[/C][/ROW]
[ROW][C]7[/C][C]5703.425[/C][C]122.160551027215[/C][C]327.3[/C][/ROW]
[ROW][C]8[/C][C]6029.09166666667[/C][C]164.466351675148[/C][C]474.1[/C][/ROW]
[ROW][C]9[/C][C]6299.4[/C][C]97.9017782362414[/C][C]307.9[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300586&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300586&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
14788.08333333333105.734090428716327.2
25040.0583333333366.0426784646709217.700000000001
35191.6833333333372.3427301534896265.400000000001
45260.6916666666773.7727155566749250.7
55313.568.6917621103011243.6
65412.891.3053617862013341.1
75703.425122.160551027215327.3
86029.09166666667164.466351675148474.1
96299.497.9017782362414307.9






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-104.328277244143
beta0.0367336672909429
S.D.0.0209680586988461
T-STAT1.75188689704329
p-value0.123253225019746

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -104.328277244143 \tabularnewline
beta & 0.0367336672909429 \tabularnewline
S.D. & 0.0209680586988461 \tabularnewline
T-STAT & 1.75188689704329 \tabularnewline
p-value & 0.123253225019746 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300586&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-104.328277244143[/C][/ROW]
[ROW][C]beta[/C][C]0.0367336672909429[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0209680586988461[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.75188689704329[/C][/ROW]
[ROW][C]p-value[/C][C]0.123253225019746[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300586&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300586&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)
alpha-104.328277244143
beta0.0367336672909429
S.D.0.0209680586988461
T-STAT1.75188689704329
p-value0.123253225019746






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-11.9245787812841
beta1.91207871185946
S.D.1.11242652071564
T-STAT1.71883596467064
p-value0.129335914668542
Lambda-0.912078711859464

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -11.9245787812841 \tabularnewline
beta & 1.91207871185946 \tabularnewline
S.D. & 1.11242652071564 \tabularnewline
T-STAT & 1.71883596467064 \tabularnewline
p-value & 0.129335914668542 \tabularnewline
Lambda & -0.912078711859464 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300586&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-11.9245787812841[/C][/ROW]
[ROW][C]beta[/C][C]1.91207871185946[/C][/ROW]
[ROW][C]S.D.[/C][C]1.11242652071564[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.71883596467064[/C][/ROW]
[ROW][C]p-value[/C][C]0.129335914668542[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.912078711859464[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300586&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300586&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)
alpha-11.9245787812841
beta1.91207871185946
S.D.1.11242652071564
T-STAT1.71883596467064
p-value0.129335914668542
Lambda-0.912078711859464


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ; par2 = 1 ; par3 = 0 ; par4 = 1 ; par5 = 1 ; par6 = 2 ; par7 = 1 ; par8 = 0 ; par9 = 0 ; par10 = FALSE ;
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')