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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 computationTue, 18 Nov 2014 19:07:57 +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/18/t1416337702ccleb8lbpiw1dtk.htm/, Retrieved Sun, 19 May 2024 16:29:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=256238, Retrieved Sun, 19 May 2024 16:29:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact64

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] [Invoergegevens EU] [2014-11-18 19:07:57] [c53767938e2c856c14b03e8e32322294] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
13396
13637
15467
13722
14727
14961
14026
13895
14474
15759
15995
14119
15342
15796
15435
16195
15572
16223
15921
14143
16290
16579
14314
13318
11938
12574
13298
12124
11757
12803
12800
11293
12992
13426
13174
13648
12801
13183
15703
14859
14350
16444
14207
13329
14795
15248
16081
15670
14805
15779
17945
15280
16773
16362
15774
15505
16397
16060
16748
16137
15523
16267
18066
16105
16883
17034
16452
16234
16658
18133
17488
15853
17198
16719
17635
16726
17503
17074
17054
15451
16374
17242
16684
16489

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=256238&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=256238&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=256238&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
114514.8333333333869.7968240638242599
215427.33333333331001.776996898593261
312652.25731.360267521482355
414722.51182.325174468443643
516130.4166666667816.7755292315723140
616724.6666666667831.362991864822610
716845.75586.4506683120382184

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 14514.8333333333 & 869.796824063824 & 2599 \tabularnewline
2 & 15427.3333333333 & 1001.77699689859 & 3261 \tabularnewline
3 & 12652.25 & 731.36026752148 & 2355 \tabularnewline
4 & 14722.5 & 1182.32517446844 & 3643 \tabularnewline
5 & 16130.4166666667 & 816.775529231572 & 3140 \tabularnewline
6 & 16724.6666666667 & 831.36299186482 & 2610 \tabularnewline
7 & 16845.75 & 586.450668312038 & 2184 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=256238&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]14514.8333333333[/C][C]869.796824063824[/C][C]2599[/C][/ROW]
[ROW][C]2[/C][C]15427.3333333333[/C][C]1001.77699689859[/C][C]3261[/C][/ROW]
[ROW][C]3[/C][C]12652.25[/C][C]731.36026752148[/C][C]2355[/C][/ROW]
[ROW][C]4[/C][C]14722.5[/C][C]1182.32517446844[/C][C]3643[/C][/ROW]
[ROW][C]5[/C][C]16130.4166666667[/C][C]816.775529231572[/C][C]3140[/C][/ROW]
[ROW][C]6[/C][C]16724.6666666667[/C][C]831.36299186482[/C][C]2610[/C][/ROW]
[ROW][C]7[/C][C]16845.75[/C][C]586.450668312038[/C][C]2184[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=256238&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=256238&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
114514.8333333333869.7968240638242599
215427.33333333331001.776996898593261
312652.25731.360267521482355
414722.51182.325174468443643
516130.4166666667816.7755292315723140
616724.6666666667831.362991864822610
716845.75586.4506683120382184






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha1251.06298128214
beta-0.0255807323235089
S.D.0.0566013721875859
T-STAT-0.45194544469223
p-value0.67023863957746

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1251.06298128214 \tabularnewline
beta & -0.0255807323235089 \tabularnewline
S.D. & 0.0566013721875859 \tabularnewline
T-STAT & -0.45194544469223 \tabularnewline
p-value & 0.67023863957746 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=256238&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1251.06298128214[/C][/ROW]
[ROW][C]beta[/C][C]-0.0255807323235089[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0566013721875859[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.45194544469223[/C][/ROW]
[ROW][C]p-value[/C][C]0.67023863957746[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=256238&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=256238&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)
alpha1251.06298128214
beta-0.0255807323235089
S.D.0.0566013721875859
T-STAT-0.45194544469223
p-value0.67023863957746






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha10.59081386078
beta-0.400288403551177
S.D.0.978803593295499
T-STAT-0.408956818602862
p-value0.699499096612324
Lambda1.40028840355118

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 10.59081386078 \tabularnewline
beta & -0.400288403551177 \tabularnewline
S.D. & 0.978803593295499 \tabularnewline
T-STAT & -0.408956818602862 \tabularnewline
p-value & 0.699499096612324 \tabularnewline
Lambda & 1.40028840355118 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=256238&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]10.59081386078[/C][/ROW]
[ROW][C]beta[/C][C]-0.400288403551177[/C][/ROW]
[ROW][C]S.D.[/C][C]0.978803593295499[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.408956818602862[/C][/ROW]
[ROW][C]p-value[/C][C]0.699499096612324[/C][/ROW]
[ROW][C]Lambda[/C][C]1.40028840355118[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=256238&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=256238&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)
alpha10.59081386078
beta-0.400288403551177
S.D.0.978803593295499
T-STAT-0.408956818602862
p-value0.699499096612324
Lambda1.40028840355118


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')