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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationFri, 04 Dec 2009 10:09:03 -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/2009/Dec/04/t12599465956s4xw7pyv1s6xxp.htm/, Retrieved Sat, 27 Apr 2024 18:21:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63918, Retrieved Sat, 27 Apr 2024 18:21:12 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact106

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [] [2009-11-27 14:40:44] [b98453cac15ba1066b407e146608df68]
-    D    [Standard Deviation-Mean Plot] [Stap 1 Workshop 5] [2009-12-04 11:49:49] [76ab39dc7a55316678260825bd5ad46c]
-    D        [Standard Deviation-Mean Plot] [Stap 1 workshop 5] [2009-12-04 17:09:03] [865cd78857e928bd6e7d79509c6cdcc5] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3016
2155
2172
2150
2533
2058
2160
2260
2498
2695
2799
2946
2930
2318
2540
2570
2669
2450
2842
3440
2678
2981
2260
2844
2546
2456
2295
2379
2479
2057
2280
2351
2276
2548
2311
2201
2725
2408
2139
1898
2537
2068
2063
2520
2434
2190
2794
2070
2615
2265
2139
2428
2137
1823
2063
1806
1758
2243
1993
1932
2465

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'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63918&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63918&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63918&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'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
12453.5341.842201767264958
22710.16666666667325.4492931690631180
32348.25144.371443285588491
42320.5288.621331033021896
52100.16666666667260.164924382185857

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2453.5 & 341.842201767264 & 958 \tabularnewline
2 & 2710.16666666667 & 325.449293169063 & 1180 \tabularnewline
3 & 2348.25 & 144.371443285588 & 491 \tabularnewline
4 & 2320.5 & 288.621331033021 & 896 \tabularnewline
5 & 2100.16666666667 & 260.164924382185 & 857 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63918&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]2453.5[/C][C]341.842201767264[/C][C]958[/C][/ROW]
[ROW][C]2[/C][C]2710.16666666667[/C][C]325.449293169063[/C][C]1180[/C][/ROW]
[ROW][C]3[/C][C]2348.25[/C][C]144.371443285588[/C][C]491[/C][/ROW]
[ROW][C]4[/C][C]2320.5[/C][C]288.621331033021[/C][C]896[/C][/ROW]
[ROW][C]5[/C][C]2100.16666666667[/C][C]260.164924382185[/C][C]857[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63918&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63918&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
12453.5341.842201767264958
22710.16666666667325.4492931690631180
32348.25144.371443285588491
42320.5288.621331033021896
52100.16666666667260.164924382185857






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-80.9766008248226
beta0.147942163775201
S.D.0.184517363273138
T-STAT0.801779090871814
p-value0.481311289768633

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -80.9766008248226 \tabularnewline
beta & 0.147942163775201 \tabularnewline
S.D. & 0.184517363273138 \tabularnewline
T-STAT & 0.801779090871814 \tabularnewline
p-value & 0.481311289768633 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63918&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-80.9766008248226[/C][/ROW]
[ROW][C]beta[/C][C]0.147942163775201[/C][/ROW]
[ROW][C]S.D.[/C][C]0.184517363273138[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.801779090871814[/C][/ROW]
[ROW][C]p-value[/C][C]0.481311289768633[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63918&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63918&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-80.9766008248226
beta0.147942163775201
S.D.0.184517363273138
T-STAT0.801779090871814
p-value0.481311289768633






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-4.11919500092622
beta1.24552071756263
S.D.2.04306661769347
T-STAT0.609632944308377
p-value0.585175554562255
Lambda-0.245520717562627

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.11919500092622 \tabularnewline
beta & 1.24552071756263 \tabularnewline
S.D. & 2.04306661769347 \tabularnewline
T-STAT & 0.609632944308377 \tabularnewline
p-value & 0.585175554562255 \tabularnewline
Lambda & -0.245520717562627 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63918&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.11919500092622[/C][/ROW]
[ROW][C]beta[/C][C]1.24552071756263[/C][/ROW]
[ROW][C]S.D.[/C][C]2.04306661769347[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.609632944308377[/C][/ROW]
[ROW][C]p-value[/C][C]0.585175554562255[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.245520717562627[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63918&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63918&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-4.11919500092622
beta1.24552071756263
S.D.2.04306661769347
T-STAT0.609632944308377
p-value0.585175554562255
Lambda-0.245520717562627


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')