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Description of Statistical Computation

Author's title

Standard Deviation-Mean Plot - Omzetcijfers Carrefour Burcht - Jeroen Van E...

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationWed, 27 May 2009 11:34:42 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/May/27/t1243445782d48qvy2n88d3wxl.htm/, Retrieved Thu, 02 May 2024 18:59:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=40474, Retrieved Thu, 02 May 2024 18:59:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact117

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...] [2009-05-27 17:34:42] [13980c6c3342d2be2ef42581b409ab4a] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2291180
1971664
2193270
2197733
2345324
2195121
2170583
2241521
2154945
2912568
2392562
3336621
4080642
3735329
4018383
4171360
3855698
4101316
4199346
3959646
3960841
4784025
4105467
5929558
4048642
3828808
4268127
4171816
4004783
4295447
3968177
3918480
4040260
4530715
4103330
6025506
4632308
4133863
4519182
4151573
4486595
4504699
4180443
4222193
4373727
4734738
4403232
5903985
4414074
4061816
4504697
3994176
4114925
4485120
4171230
4476075
4179369
4823185
4585751
6110454
4279575
3782118
4098678
4065616
4413733
4481214
4345018
4294488
4361269
4535031
4318397
6040168

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'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40474&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40474&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40474&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'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
12366924.33333333380028.6483053451364957
24241800.91666667589887.9029515942194229
34267007.58333333585364.6820348152196698
44520544.83333333476668.9203888761770122
54493406565691.9413135482116278
64417942.08333333550413.7802305822258050

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2366924.33333333 & 380028.648305345 & 1364957 \tabularnewline
2 & 4241800.91666667 & 589887.902951594 & 2194229 \tabularnewline
3 & 4267007.58333333 & 585364.682034815 & 2196698 \tabularnewline
4 & 4520544.83333333 & 476668.920388876 & 1770122 \tabularnewline
5 & 4493406 & 565691.941313548 & 2116278 \tabularnewline
6 & 4417942.08333333 & 550413.780230582 & 2258050 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40474&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]2366924.33333333[/C][C]380028.648305345[/C][C]1364957[/C][/ROW]
[ROW][C]2[/C][C]4241800.91666667[/C][C]589887.902951594[/C][C]2194229[/C][/ROW]
[ROW][C]3[/C][C]4267007.58333333[/C][C]585364.682034815[/C][C]2196698[/C][/ROW]
[ROW][C]4[/C][C]4520544.83333333[/C][C]476668.920388876[/C][C]1770122[/C][/ROW]
[ROW][C]5[/C][C]4493406[/C][C]565691.941313548[/C][C]2116278[/C][/ROW]
[ROW][C]6[/C][C]4417942.08333333[/C][C]550413.780230582[/C][C]2258050[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40474&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40474&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
12366924.33333333380028.6483053451364957
24241800.91666667589887.9029515942194229
34267007.58333333585364.6820348152196698
44520544.83333333476668.9203888761770122
54493406565691.9413135482116278
64417942.08333333550413.7802305822258050






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha204548.543399864
beta0.0790190138099183
S.D.0.0292080005648467
T-STAT2.70538935503245
p-value0.0537932889412003

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 204548.543399864 \tabularnewline
beta & 0.0790190138099183 \tabularnewline
S.D. & 0.0292080005648467 \tabularnewline
T-STAT & 2.70538935503245 \tabularnewline
p-value & 0.0537932889412003 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40474&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]204548.543399864[/C][/ROW]
[ROW][C]beta[/C][C]0.0790190138099183[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0292080005648467[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.70538935503245[/C][/ROW]
[ROW][C]p-value[/C][C]0.0537932889412003[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40474&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40474&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)
alpha204548.543399864
beta0.0790190138099183
S.D.0.0292080005648467
T-STAT2.70538935503245
p-value0.0537932889412003






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha4.43045485305568
beta0.574582675992743
S.D.0.177164723444918
T-STAT3.24321154245690
p-value0.0315778214961746
Lambda0.425417324007257

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 4.43045485305568 \tabularnewline
beta & 0.574582675992743 \tabularnewline
S.D. & 0.177164723444918 \tabularnewline
T-STAT & 3.24321154245690 \tabularnewline
p-value & 0.0315778214961746 \tabularnewline
Lambda & 0.425417324007257 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40474&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.43045485305568[/C][/ROW]
[ROW][C]beta[/C][C]0.574582675992743[/C][/ROW]
[ROW][C]S.D.[/C][C]0.177164723444918[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.24321154245690[/C][/ROW]
[ROW][C]p-value[/C][C]0.0315778214961746[/C][/ROW]
[ROW][C]Lambda[/C][C]0.425417324007257[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40474&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40474&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)
alpha4.43045485305568
beta0.574582675992743
S.D.0.177164723444918
T-STAT3.24321154245690
p-value0.0315778214961746
Lambda0.425417324007257


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')