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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 computationMon, 21 Jan 2019 09:46:46 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2019/Jan/21/t1548060440hkv0qomiiy50aj0.htm/, Retrieved Sat, 04 May 2024 09:31:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=316764, Retrieved Sat, 04 May 2024 09:31:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact26

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] [] [2019-01-21 08:46:46] [9db4ee138061c7275d614be51b570c40] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3035
2552
2704
2554
2014
1655
1721
1524
1596
2074
2199
2512
2933
2889
2938
2497
1870
1726
1607
1545
1396
1787
2076
2837
2787
3891
3179
2011
1636
1580
1489
1300
1356
1653
2013
2823
3102
2294
2385
2444
1748
1554
1498
1361
1346
1564
1640
2293
2815
3137
2679
1969
1870
1633
1529
1366
1357
1570
1535
2491
3084
2605
2573
2143
1693
1504
1461
1354
1333
1492
1781
1915

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316764&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=316764&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316764&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
12178.33333333333494.5983371904071511
22175.08333333333602.2528098479051542
32143.16666666667831.8714753585142591
41935.75552.0762669644971756
51995.91666666667621.5696345592031780
61911.5572.2454177901461751

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2178.33333333333 & 494.598337190407 & 1511 \tabularnewline
2 & 2175.08333333333 & 602.252809847905 & 1542 \tabularnewline
3 & 2143.16666666667 & 831.871475358514 & 2591 \tabularnewline
4 & 1935.75 & 552.076266964497 & 1756 \tabularnewline
5 & 1995.91666666667 & 621.569634559203 & 1780 \tabularnewline
6 & 1911.5 & 572.245417790146 & 1751 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316764&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]2178.33333333333[/C][C]494.598337190407[/C][C]1511[/C][/ROW]
[ROW][C]2[/C][C]2175.08333333333[/C][C]602.252809847905[/C][C]1542[/C][/ROW]
[ROW][C]3[/C][C]2143.16666666667[/C][C]831.871475358514[/C][C]2591[/C][/ROW]
[ROW][C]4[/C][C]1935.75[/C][C]552.076266964497[/C][C]1756[/C][/ROW]
[ROW][C]5[/C][C]1995.91666666667[/C][C]621.569634559203[/C][C]1780[/C][/ROW]
[ROW][C]6[/C][C]1911.5[/C][C]572.245417790146[/C][C]1751[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=316764&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316764&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
12178.33333333333494.5983371904071511
22175.08333333333602.2528098479051542
32143.16666666667831.8714753585142591
41935.75552.0762669644971756
51995.91666666667621.5696345592031780
61911.5572.2454177901461751






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha177.257405841747
beta0.211598250099086
S.D.0.460101795246895
T-STAT0.459894423984023
p-value0.669478905845257

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 177.257405841747 \tabularnewline
beta & 0.211598250099086 \tabularnewline
S.D. & 0.460101795246895 \tabularnewline
T-STAT & 0.459894423984023 \tabularnewline
p-value & 0.669478905845257 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316764&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]177.257405841747[/C][/ROW]
[ROW][C]beta[/C][C]0.211598250099086[/C][/ROW]
[ROW][C]S.D.[/C][C]0.460101795246895[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.459894423984023[/C][/ROW]
[ROW][C]p-value[/C][C]0.669478905845257[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=316764&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316764&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)
alpha177.257405841747
beta0.211598250099086
S.D.0.460101795246895
T-STAT0.459894423984023
p-value0.669478905845257






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha2.14256384985883
beta0.558698092487137
S.D.1.43463574690879
T-STAT0.389435502141198
p-value0.716798731542877
Lambda0.441301907512863

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 2.14256384985883 \tabularnewline
beta & 0.558698092487137 \tabularnewline
S.D. & 1.43463574690879 \tabularnewline
T-STAT & 0.389435502141198 \tabularnewline
p-value & 0.716798731542877 \tabularnewline
Lambda & 0.441301907512863 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316764&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.14256384985883[/C][/ROW]
[ROW][C]beta[/C][C]0.558698092487137[/C][/ROW]
[ROW][C]S.D.[/C][C]1.43463574690879[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.389435502141198[/C][/ROW]
[ROW][C]p-value[/C][C]0.716798731542877[/C][/ROW]
[ROW][C]Lambda[/C][C]0.441301907512863[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=316764&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316764&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)
alpha2.14256384985883
beta0.558698092487137
S.D.1.43463574690879
T-STAT0.389435502141198
p-value0.716798731542877
Lambda0.441301907512863


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')