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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 computationSat, 22 Nov 2014 11:07:12 +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/2014/Nov/22/t1416654475zj3qpxgl6u4hdym.htm/, Retrieved Sun, 19 May 2024 16:33:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=257810, Retrieved Sun, 19 May 2024 16:33:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact106

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] [] [2014-11-22 11:07:12] [345c72938773a86f996d724d064c8f2d] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
82303
79596
74472
73562
66618
69029
89899
93774
90305
83799
80320
82497
84420
84646
84186
83269
77793
81145
101691
107357
104253
95963
91432
94324
93855
92183
87600
83641
78195
79604
100846
105293
102518
93132
87479
85476
85460
82868
79941
76909
72613
72496
93244
99126
96748
89318
84724
83111
87497
86961
82319
79196
76898
77971
97335
106855
105401
99108
93456
92506
94602
93027
89722
87391
83030
83390
104501
110393
111017
103434
97817
96893

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=257810&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=257810&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257810&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
180514.58466.0498838811327156
290873.259791.3675720921729564
390818.58790.8126576453827098
484713.16666666678699.1526633693526630
590458.583333333310363.064020911729957
696268.08333333339605.82638968627987

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 80514.5 & 8466.04988388113 & 27156 \tabularnewline
2 & 90873.25 & 9791.36757209217 & 29564 \tabularnewline
3 & 90818.5 & 8790.81265764538 & 27098 \tabularnewline
4 & 84713.1666666667 & 8699.15266336935 & 26630 \tabularnewline
5 & 90458.5833333333 & 10363.0640209117 & 29957 \tabularnewline
6 & 96268.0833333333 & 9605.826389686 & 27987 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257810&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]80514.5[/C][C]8466.04988388113[/C][C]27156[/C][/ROW]
[ROW][C]2[/C][C]90873.25[/C][C]9791.36757209217[/C][C]29564[/C][/ROW]
[ROW][C]3[/C][C]90818.5[/C][C]8790.81265764538[/C][C]27098[/C][/ROW]
[ROW][C]4[/C][C]84713.1666666667[/C][C]8699.15266336935[/C][C]26630[/C][/ROW]
[ROW][C]5[/C][C]90458.5833333333[/C][C]10363.0640209117[/C][C]29957[/C][/ROW]
[ROW][C]6[/C][C]96268.0833333333[/C][C]9605.826389686[/C][C]27987[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257810&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257810&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
180514.58466.0498838811327156
290873.259791.3675720921729564
390818.58790.8126576453827098
484713.16666666678699.1526633693526630
590458.583333333310363.064020911729957
696268.08333333339605.82638968627987






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha1442.96869270086
beta0.0881829034281252
S.D.0.0512241688114927
T-STAT1.72150969892049
p-value0.160266627167389

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1442.96869270086 \tabularnewline
beta & 0.0881829034281252 \tabularnewline
S.D. & 0.0512241688114927 \tabularnewline
T-STAT & 1.72150969892049 \tabularnewline
p-value & 0.160266627167389 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257810&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1442.96869270086[/C][/ROW]
[ROW][C]beta[/C][C]0.0881829034281252[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0512241688114927[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.72150969892049[/C][/ROW]
[ROW][C]p-value[/C][C]0.160266627167389[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257810&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257810&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)
alpha1442.96869270086
beta0.0881829034281252
S.D.0.0512241688114927
T-STAT1.72150969892049
p-value0.160266627167389






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-0.62582703369864
beta0.856534107420634
S.D.0.46841152719568
T-STAT1.82859314446976
p-value0.141458388273765
Lambda0.143465892579366

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -0.62582703369864 \tabularnewline
beta & 0.856534107420634 \tabularnewline
S.D. & 0.46841152719568 \tabularnewline
T-STAT & 1.82859314446976 \tabularnewline
p-value & 0.141458388273765 \tabularnewline
Lambda & 0.143465892579366 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257810&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.62582703369864[/C][/ROW]
[ROW][C]beta[/C][C]0.856534107420634[/C][/ROW]
[ROW][C]S.D.[/C][C]0.46841152719568[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.82859314446976[/C][/ROW]
[ROW][C]p-value[/C][C]0.141458388273765[/C][/ROW]
[ROW][C]Lambda[/C][C]0.143465892579366[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257810&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257810&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-0.62582703369864
beta0.856534107420634
S.D.0.46841152719568
T-STAT1.82859314446976
p-value0.141458388273765
Lambda0.143465892579366


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')