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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 computationMon, 17 Dec 2007 09:11:44 -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/2007/Dec/17/t1197906919t138pgdl2s2mphc.htm/, Retrieved Fri, 03 May 2024 17:52:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=4386, Retrieved Fri, 03 May 2024 17:52:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact191

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] [benzine deviation...] [2007-12-17 16:11:44] [d02236afd58a58d13a748bbf41a37c2e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
21797
22209
28135
29512
26714
30899
27148
24288
26019
24007
18195
17323
19504
23859
28852
30746
26956
31905
25956
24255
25045
22982
19304
18294
20417
21558
27369
28240
27201
31084
25306
24759
24276
20862
19437
15291
22515
22040
28398
26158
25081
28893
26504
22960
23792
20995
19765
14585
20480
21188
27994
27229
28804
29257
26377
24392
16949
22566
18000
16373

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\begin{tabular}{lllllllll}
\hline
Summary of compuational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4386&T=0

[TABLE]
[ROW][C]Summary of compuational 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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4386&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4386&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
124687.16666666674233.91600022611395
224804.83333333334404.2165712031710717
323816.66666666674441.823178776393715
423473.83333333333986.754680035872735
523300.754702.718345904754176

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 24687.1666666667 & 4233.916000226 & 11395 \tabularnewline
2 & 24804.8333333333 & 4404.21657120317 & 10717 \tabularnewline
3 & 23816.6666666667 & 4441.82317877639 & 3715 \tabularnewline
4 & 23473.8333333333 & 3986.75468003587 & 2735 \tabularnewline
5 & 23300.75 & 4702.71834590475 & 4176 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4386&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]24687.1666666667[/C][C]4233.916000226[/C][C]11395[/C][/ROW]
[ROW][C]2[/C][C]24804.8333333333[/C][C]4404.21657120317[/C][C]10717[/C][/ROW]
[ROW][C]3[/C][C]23816.6666666667[/C][C]4441.82317877639[/C][C]3715[/C][/ROW]
[ROW][C]4[/C][C]23473.8333333333[/C][C]3986.75468003587[/C][C]2735[/C][/ROW]
[ROW][C]5[/C][C]23300.75[/C][C]4702.71834590475[/C][C]4176[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4386&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4386&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
124687.16666666674233.91600022611395
224804.83333333334404.2165712031710717
323816.66666666674441.823178776393715
423473.83333333333986.754680035872735
523300.754702.718345904754176






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha5716.28914703351
beta-0.0567274533211035
S.D.0.218599392336265
T-STAT-0.259504167485705
p-value0.812035433851497

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 5716.28914703351 \tabularnewline
beta & -0.0567274533211035 \tabularnewline
S.D. & 0.218599392336265 \tabularnewline
T-STAT & -0.259504167485705 \tabularnewline
p-value & 0.812035433851497 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4386&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5716.28914703351[/C][/ROW]
[ROW][C]beta[/C][C]-0.0567274533211035[/C][/ROW]
[ROW][C]S.D.[/C][C]0.218599392336265[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.259504167485705[/C][/ROW]
[ROW][C]p-value[/C][C]0.812035433851497[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4386&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4386&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)
alpha5716.28914703351
beta-0.0567274533211035
S.D.0.218599392336265
T-STAT-0.259504167485705
p-value0.812035433851497






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha11.0794358378875
beta-0.267902054110103
S.D.1.21958815850600
T-STAT-0.219666001380568
p-value0.84022920626125
Lambda1.26790205411010

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 11.0794358378875 \tabularnewline
beta & -0.267902054110103 \tabularnewline
S.D. & 1.21958815850600 \tabularnewline
T-STAT & -0.219666001380568 \tabularnewline
p-value & 0.84022920626125 \tabularnewline
Lambda & 1.26790205411010 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4386&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]11.0794358378875[/C][/ROW]
[ROW][C]beta[/C][C]-0.267902054110103[/C][/ROW]
[ROW][C]S.D.[/C][C]1.21958815850600[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.219666001380568[/C][/ROW]
[ROW][C]p-value[/C][C]0.84022920626125[/C][/ROW]
[ROW][C]Lambda[/C][C]1.26790205411010[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4386&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4386&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)
alpha11.0794358378875
beta-0.267902054110103
S.D.1.21958815850600
T-STAT-0.219666001380568
p-value0.84022920626125
Lambda1.26790205411010


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')