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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, 28 Nov 2011 10:03:21 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Nov/28/t1322492644zxva5ofq5qroff1.htm/, Retrieved Sat, 20 Apr 2024 01:45:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=147791, Retrieved Sat, 20 Apr 2024 01:45:53 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact91

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] [] [2011-11-28 15:03:21] [5143da885265528a100ac524801fc397] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
31956
29506
34506
27165
26736
23691
18157
17328
18205
20995
17382
9367
31124
26551
30651
25859
25100
25778
20418
18688
20424
24776
19814
12738
31566
30111
30019
31934
25826
26835
20205
17789
20520
22518
15572
11509
25447
24090
27786
26195
20516
22759
19028
16971
20036
22485
18730
14538
27561
25985
34670
32066
27186
29586
21359
21553
19573
24256
22380
16167

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'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147791&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147791&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147791&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'George Udny Yule' @ yule.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
122916.16666666677303.0689045251725139
223493.41666666675265.9772719589218386
323700.33333333336731.2083790671820425
421548.41666666673957.1273662120413248
525195.16666666675362.7499532055418503

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 22916.1666666667 & 7303.06890452517 & 25139 \tabularnewline
2 & 23493.4166666667 & 5265.97727195892 & 18386 \tabularnewline
3 & 23700.3333333333 & 6731.20837906718 & 20425 \tabularnewline
4 & 21548.4166666667 & 3957.12736621204 & 13248 \tabularnewline
5 & 25195.1666666667 & 5362.74995320554 & 18503 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147791&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]22916.1666666667[/C][C]7303.06890452517[/C][C]25139[/C][/ROW]
[ROW][C]2[/C][C]23493.4166666667[/C][C]5265.97727195892[/C][C]18386[/C][/ROW]
[ROW][C]3[/C][C]23700.3333333333[/C][C]6731.20837906718[/C][C]20425[/C][/ROW]
[ROW][C]4[/C][C]21548.4166666667[/C][C]3957.12736621204[/C][C]13248[/C][/ROW]
[ROW][C]5[/C][C]25195.1666666667[/C][C]5362.74995320554[/C][C]18503[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147791&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147791&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
122916.16666666677303.0689045251725139
223493.41666666675265.9772719589218386
323700.33333333336731.2083790671820425
421548.41666666673957.1273662120413248
525195.16666666675362.7499532055418503






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-1370.2330280981
beta0.303553569345029
S.D.0.549688134297861
T-STAT0.552228710071704
p-value0.619268954148683

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -1370.2330280981 \tabularnewline
beta & 0.303553569345029 \tabularnewline
S.D. & 0.549688134297861 \tabularnewline
T-STAT & 0.552228710071704 \tabularnewline
p-value & 0.619268954148683 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147791&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1370.2330280981[/C][/ROW]
[ROW][C]beta[/C][C]0.303553569345029[/C][/ROW]
[ROW][C]S.D.[/C][C]0.549688134297861[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.552228710071704[/C][/ROW]
[ROW][C]p-value[/C][C]0.619268954148683[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147791&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147791&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-1370.2330280981
beta0.303553569345029
S.D.0.549688134297861
T-STAT0.552228710071704
p-value0.619268954148683






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-8.57912862895382
beta1.71099825671512
S.D.2.2382195902433
T-STAT0.764446108940156
p-value0.500229736643766
Lambda-0.710998256715119

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -8.57912862895382 \tabularnewline
beta & 1.71099825671512 \tabularnewline
S.D. & 2.2382195902433 \tabularnewline
T-STAT & 0.764446108940156 \tabularnewline
p-value & 0.500229736643766 \tabularnewline
Lambda & -0.710998256715119 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147791&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-8.57912862895382[/C][/ROW]
[ROW][C]beta[/C][C]1.71099825671512[/C][/ROW]
[ROW][C]S.D.[/C][C]2.2382195902433[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.764446108940156[/C][/ROW]
[ROW][C]p-value[/C][C]0.500229736643766[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.710998256715119[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147791&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147791&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-8.57912862895382
beta1.71099825671512
S.D.2.2382195902433
T-STAT0.764446108940156
p-value0.500229736643766
Lambda-0.710998256715119


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')