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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 computationSat, 19 Mar 2016 10:04:39 +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/Mar/19/t1458381890p579kabyv17oitn.htm/, Retrieved Tue, 07 May 2024 18:20:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=294297, Retrieved Tue, 07 May 2024 18:20:06 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact94

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] [] [2016-03-19 10:04:39] [3cc5eb308fa11ebf92933824162ee6d9] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
7.4361
7.4324
7.4367
7.4368
7.4456
7.4564
7.4597
7.4537
7.4639
7.4593
7.4438
7.4415
7.4317
7.4343
7.4281
7.4281
7.4305
7.425
7.4309
7.4361
7.4495
7.4393
7.4367
7.4343
7.4433
7.4463
7.4588
7.4586
7.4621
7.4581
7.4604
7.4557
7.4524
7.45
7.4446
7.4557
7.4534
7.4599
7.4592
7.4512
7.4514
7.4471
7.4442
7.4424
7.4426
7.4416
7.4498
7.4547
7.455
7.4573
7.4506
7.4398
7.435
7.4349
7.4457
7.459
7.4589
7.4555
7.458
7.4593
7.4625
7.4628
7.4522
7.4423
7.4501
7.4623
7.4617
7.4605

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'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294297&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294297&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294297&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'Sir Maurice George Kendall' @ kendall.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
17.447158333333330.01093654909286310.0314999999999994
27.433708333333330.006445358912826420.0244999999999997
37.453833333333330.00642245115106990.0188000000000006
47.449791666666670.006355735896643190.0183
57.450750.009479115800729350.0244

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 7.44715833333333 & 0.0109365490928631 & 0.0314999999999994 \tabularnewline
2 & 7.43370833333333 & 0.00644535891282642 & 0.0244999999999997 \tabularnewline
3 & 7.45383333333333 & 0.0064224511510699 & 0.0188000000000006 \tabularnewline
4 & 7.44979166666667 & 0.00635573589664319 & 0.0183 \tabularnewline
5 & 7.45075 & 0.00947911580072935 & 0.0244 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294297&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]7.44715833333333[/C][C]0.0109365490928631[/C][C]0.0314999999999994[/C][/ROW]
[ROW][C]2[/C][C]7.43370833333333[/C][C]0.00644535891282642[/C][C]0.0244999999999997[/C][/ROW]
[ROW][C]3[/C][C]7.45383333333333[/C][C]0.0064224511510699[/C][C]0.0188000000000006[/C][/ROW]
[ROW][C]4[/C][C]7.44979166666667[/C][C]0.00635573589664319[/C][C]0.0183[/C][/ROW]
[ROW][C]5[/C][C]7.45075[/C][C]0.00947911580072935[/C][C]0.0244[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294297&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294297&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
17.447158333333330.01093654909286310.0314999999999994
27.433708333333330.006445358912826420.0244999999999997
37.453833333333330.00642245115106990.0188000000000006
47.449791666666670.006355735896643190.0183
57.450750.009479115800729350.0244






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-0.335912243990935
beta0.046171324633777
S.D.0.155858574854978
T-STAT0.296238591150588
p-value0.786371496113088

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.335912243990935 \tabularnewline
beta & 0.046171324633777 \tabularnewline
S.D. & 0.155858574854978 \tabularnewline
T-STAT & 0.296238591150588 \tabularnewline
p-value & 0.786371496113088 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294297&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.335912243990935[/C][/ROW]
[ROW][C]beta[/C][C]0.046171324633777[/C][/ROW]
[ROW][C]S.D.[/C][C]0.155858574854978[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.296238591150588[/C][/ROW]
[ROW][C]p-value[/C][C]0.786371496113088[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294297&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294297&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-0.335912243990935
beta0.046171324633777
S.D.0.155858574854978
T-STAT0.296238591150588
p-value0.786371496113088






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-91.7197688736364
beta43.2582968628918
S.D.139.759347595178
T-STAT0.309519882621319
p-value0.777179196834334
Lambda-42.2582968628918

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -91.7197688736364 \tabularnewline
beta & 43.2582968628918 \tabularnewline
S.D. & 139.759347595178 \tabularnewline
T-STAT & 0.309519882621319 \tabularnewline
p-value & 0.777179196834334 \tabularnewline
Lambda & -42.2582968628918 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294297&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-91.7197688736364[/C][/ROW]
[ROW][C]beta[/C][C]43.2582968628918[/C][/ROW]
[ROW][C]S.D.[/C][C]139.759347595178[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.309519882621319[/C][/ROW]
[ROW][C]p-value[/C][C]0.777179196834334[/C][/ROW]
[ROW][C]Lambda[/C][C]-42.2582968628918[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294297&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294297&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-91.7197688736364
beta43.2582968628918
S.D.139.759347595178
T-STAT0.309519882621319
p-value0.777179196834334
Lambda-42.2582968628918


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')