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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationSun, 22 Nov 2015 23:14:07 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Nov/22/t14482341332gpymszfmjksgn9.htm/, Retrieved Fri, 01 Nov 2024 00:38:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=283914, Retrieved Fri, 01 Nov 2024 00:38:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact95

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] [] [2015-11-22 23:14:07] [d1a83db1c928d515dd26931964d56abe] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
90.65
90.93
91.42
91.52
91.76
91.47
91.37
91.35
91.74
91.78
91.88
91.99
92.55
92.94
92.81
93.35
93.72
93.94
94.03
93.66
93.78
94.1
94.85
94.83
95.06
95.87
95.97
95.96
96.3
96.17
96.18
96.55
96.76
97.63
97.86
97.82
98.62
99.24
99.63
100.27
100.84
101.05
100.38
100.02
99.97
99.95
100
100.04
100.51
100.29
100.22
101.29
100.29
100.26
100.39
99.3
98.9
98.76
99.12
99.28

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'Herman Ole Andreas Wold' @ wold.wessa.net

\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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283914&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283914&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283914&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'Herman Ole Andreas Wold' @ wold.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
191.48833333333330.3909157857072921.33999999999999
293.71333333333330.7228017876585692.3
396.51083333333330.8650744406574412.8
4100.0008333333330.6501532453385452.42999999999999
599.88416666666670.7821817776791622.53

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 91.4883333333333 & 0.390915785707292 & 1.33999999999999 \tabularnewline
2 & 93.7133333333333 & 0.722801787658569 & 2.3 \tabularnewline
3 & 96.5108333333333 & 0.865074440657441 & 2.8 \tabularnewline
4 & 100.000833333333 & 0.650153245338545 & 2.42999999999999 \tabularnewline
5 & 99.8841666666667 & 0.782181777679162 & 2.53 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283914&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]91.4883333333333[/C][C]0.390915785707292[/C][C]1.33999999999999[/C][/ROW]
[ROW][C]2[/C][C]93.7133333333333[/C][C]0.722801787658569[/C][C]2.3[/C][/ROW]
[ROW][C]3[/C][C]96.5108333333333[/C][C]0.865074440657441[/C][C]2.8[/C][/ROW]
[ROW][C]4[/C][C]100.000833333333[/C][C]0.650153245338545[/C][C]2.42999999999999[/C][/ROW]
[ROW][C]5[/C][C]99.8841666666667[/C][C]0.782181777679162[/C][C]2.53[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283914&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283914&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
191.48833333333330.3909157857072921.33999999999999
293.71333333333330.7228017876585692.3
396.51083333333330.8650744406574412.8
4100.0008333333330.6501532453385452.42999999999999
599.88416666666670.7821817776791622.53






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-2.00595015665901
beta0.0279089443369952
S.D.0.0226712117196828
T-STAT1.23103011352345
p-value0.306021549722355

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -2.00595015665901 \tabularnewline
beta & 0.0279089443369952 \tabularnewline
S.D. & 0.0226712117196828 \tabularnewline
T-STAT & 1.23103011352345 \tabularnewline
p-value & 0.306021549722355 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283914&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.00595015665901[/C][/ROW]
[ROW][C]beta[/C][C]0.0279089443369952[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0226712117196828[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.23103011352345[/C][/ROW]
[ROW][C]p-value[/C][C]0.306021549722355[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283914&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283914&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-2.00595015665901
beta0.0279089443369952
S.D.0.0226712117196828
T-STAT1.23103011352345
p-value0.306021549722355






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-23.2145197085455
beta4.99172665233635
S.D.3.55263375801378
T-STAT1.40507775142213
p-value0.254645710158198
Lambda-3.99172665233635

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -23.2145197085455 \tabularnewline
beta & 4.99172665233635 \tabularnewline
S.D. & 3.55263375801378 \tabularnewline
T-STAT & 1.40507775142213 \tabularnewline
p-value & 0.254645710158198 \tabularnewline
Lambda & -3.99172665233635 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283914&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-23.2145197085455[/C][/ROW]
[ROW][C]beta[/C][C]4.99172665233635[/C][/ROW]
[ROW][C]S.D.[/C][C]3.55263375801378[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.40507775142213[/C][/ROW]
[ROW][C]p-value[/C][C]0.254645710158198[/C][/ROW]
[ROW][C]Lambda[/C][C]-3.99172665233635[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283914&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283914&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-23.2145197085455
beta4.99172665233635
S.D.3.55263375801378
T-STAT1.40507775142213
p-value0.254645710158198
Lambda-3.99172665233635


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')