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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 computationSun, 20 Nov 2016 14:22:13 +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/2016/Nov/20/t1479651766a5fh5jr8k0zpttj.htm/, Retrieved Mon, 06 May 2024 00:13:02 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Mon, 06 May 2024 00:13:02 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0

Tree of Dependent Computations

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
54854
53982
52301
51652
50338
51959
57648
57803
52599
51123
49604
51154
51765
50491
49332
48690
47496
48107
53970
54300
50246
48519
47602
49723
52010
50976
49795
49104
48354
49390
55323
56287
52831
51881
51382
53000
54365
53815
53107
53031
52419
53378
59398
60706
58531
57244
56843
58299
60654
59579
58823
57813
56487
57644
62444
62890
59758
58716
57485
57888
59676
58365
57337
56520
55189
56229
60766
61393
57919
56772
55820
56953

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=&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=&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
152918.08333333332664.478815089478199
250020.08333333332290.279159575946804
351694.41666666672426.926655757087933
4559282890.587923840858287
559181.751987.437551906296403
657744.91666666671962.27791833576204

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 52918.0833333333 & 2664.47881508947 & 8199 \tabularnewline
2 & 50020.0833333333 & 2290.27915957594 & 6804 \tabularnewline
3 & 51694.4166666667 & 2426.92665575708 & 7933 \tabularnewline
4 & 55928 & 2890.58792384085 & 8287 \tabularnewline
5 & 59181.75 & 1987.43755190629 & 6403 \tabularnewline
6 & 57744.9166666667 & 1962.2779183357 & 6204 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]52918.0833333333[/C][C]2664.47881508947[/C][C]8199[/C][/ROW]
[ROW][C]2[/C][C]50020.0833333333[/C][C]2290.27915957594[/C][C]6804[/C][/ROW]
[ROW][C]3[/C][C]51694.4166666667[/C][C]2426.92665575708[/C][C]7933[/C][/ROW]
[ROW][C]4[/C][C]55928[/C][C]2890.58792384085[/C][C]8287[/C][/ROW]
[ROW][C]5[/C][C]59181.75[/C][C]1987.43755190629[/C][C]6403[/C][/ROW]
[ROW][C]6[/C][C]57744.9166666667[/C][C]1962.2779183357[/C][C]6204[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
152918.08333333332664.478815089478199
250020.08333333332290.279159575946804
351694.41666666672426.926655757087933
4559282890.587923840858287
559181.751987.437551906296403
657744.91666666671962.27791833576204






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha4590.25807410411
beta-0.0406719969101677
S.D.0.0469669089579897
T-STAT-0.865971336256073
p-value0.435357331605763

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 4590.25807410411 \tabularnewline
beta & -0.0406719969101677 \tabularnewline
S.D. & 0.0469669089579897 \tabularnewline
T-STAT & -0.865971336256073 \tabularnewline
p-value & 0.435357331605763 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4590.25807410411[/C][/ROW]
[ROW][C]beta[/C][C]-0.0406719969101677[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0469669089579897[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.865971336256073[/C][/ROW]
[ROW][C]p-value[/C][C]0.435357331605763[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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)
alpha4590.25807410411
beta-0.0406719969101677
S.D.0.0469669089579897
T-STAT-0.865971336256073
p-value0.435357331605763






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha18.7943040967565
beta-1.01173412682658
S.D.1.06268625391338
T-STAT-0.952053461782195
p-value0.39498208869726
Lambda2.01173412682658

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 18.7943040967565 \tabularnewline
beta & -1.01173412682658 \tabularnewline
S.D. & 1.06268625391338 \tabularnewline
T-STAT & -0.952053461782195 \tabularnewline
p-value & 0.39498208869726 \tabularnewline
Lambda & 2.01173412682658 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]18.7943040967565[/C][/ROW]
[ROW][C]beta[/C][C]-1.01173412682658[/C][/ROW]
[ROW][C]S.D.[/C][C]1.06268625391338[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.952053461782195[/C][/ROW]
[ROW][C]p-value[/C][C]0.39498208869726[/C][/ROW]
[ROW][C]Lambda[/C][C]2.01173412682658[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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)
alpha18.7943040967565
beta-1.01173412682658
S.D.1.06268625391338
T-STAT-0.952053461782195
p-value0.39498208869726
Lambda2.01173412682658


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')