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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 computationWed, 07 Dec 2011 16:35:53 -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/Dec/07/t1323293829gtn0xku05r17pty.htm/, Retrieved Fri, 03 May 2024 01:53:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=152745, Retrieved Fri, 03 May 2024 01:53:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact62

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] [standard deviatio...] [2011-12-07 21:35:53] [b44111bcd41b31de06c81f2dca643b69] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
293896
295705
339828
336278
346017
351623
352478
356391
333962
336828
344530
406516
319235
314750
362781
352440
374399
367418
362980
376600
346981
349571
357797
419221
329877
324252
375221
359533
392530
377686
373303
388904
354829
369553
378740
427251
343705
345062
374186
370241
399458
379886
385254
384375
352107
351566
337330
386331
311953
301261
330481
331632
349725
346615
350251
355782
326844
341207
342127
403845
318619
315067
365498
362038
371518
364774
368462
369199
351696
361750
372533
434288

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=152745&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]2 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=152745&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=152745&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 time2 seconds
R Server'George Udny Yule' @ yule.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
134117128876.1238018225112620
2358681.08333333327119.9315648719104471
3370973.2527547.5706704041102999
4367458.41666666720565.261890595762128
5340976.91666666725556.1066086449102584
6362953.529726.861964774119221

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 341171 & 28876.1238018225 & 112620 \tabularnewline
2 & 358681.083333333 & 27119.9315648719 & 104471 \tabularnewline
3 & 370973.25 & 27547.5706704041 & 102999 \tabularnewline
4 & 367458.416666667 & 20565.2618905957 & 62128 \tabularnewline
5 & 340976.916666667 & 25556.1066086449 & 102584 \tabularnewline
6 & 362953.5 & 29726.861964774 & 119221 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=152745&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]341171[/C][C]28876.1238018225[/C][C]112620[/C][/ROW]
[ROW][C]2[/C][C]358681.083333333[/C][C]27119.9315648719[/C][C]104471[/C][/ROW]
[ROW][C]3[/C][C]370973.25[/C][C]27547.5706704041[/C][C]102999[/C][/ROW]
[ROW][C]4[/C][C]367458.416666667[/C][C]20565.2618905957[/C][C]62128[/C][/ROW]
[ROW][C]5[/C][C]340976.916666667[/C][C]25556.1066086449[/C][C]102584[/C][/ROW]
[ROW][C]6[/C][C]362953.5[/C][C]29726.861964774[/C][C]119221[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=152745&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=152745&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
134117128876.1238018225112620
2358681.08333333327119.9315648719104471
3370973.2527547.5706704041102999
4367458.41666666720565.261890595762128
5340976.91666666725556.1066086449102584
6362953.529726.861964774119221






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha47427.6321575335
beta-0.0584320365310913
S.D.0.122129018130113
T-STAT-0.478445151084726
p-value0.657309891063683

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 47427.6321575335 \tabularnewline
beta & -0.0584320365310913 \tabularnewline
S.D. & 0.122129018130113 \tabularnewline
T-STAT & -0.478445151084726 \tabularnewline
p-value & 0.657309891063683 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=152745&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]47427.6321575335[/C][/ROW]
[ROW][C]beta[/C][C]-0.0584320365310913[/C][/ROW]
[ROW][C]S.D.[/C][C]0.122129018130113[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.478445151084726[/C][/ROW]
[ROW][C]p-value[/C][C]0.657309891063683[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=152745&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=152745&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)
alpha47427.6321575335
beta-0.0584320365310913
S.D.0.122129018130113
T-STAT-0.478445151084726
p-value0.657309891063683






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha21.6373009156172
beta-0.896120252039236
S.D.1.74737773171751
T-STAT-0.512837170677705
p-value0.635087496588259
Lambda1.89612025203924

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 21.6373009156172 \tabularnewline
beta & -0.896120252039236 \tabularnewline
S.D. & 1.74737773171751 \tabularnewline
T-STAT & -0.512837170677705 \tabularnewline
p-value & 0.635087496588259 \tabularnewline
Lambda & 1.89612025203924 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=152745&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]21.6373009156172[/C][/ROW]
[ROW][C]beta[/C][C]-0.896120252039236[/C][/ROW]
[ROW][C]S.D.[/C][C]1.74737773171751[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.512837170677705[/C][/ROW]
[ROW][C]p-value[/C][C]0.635087496588259[/C][/ROW]
[ROW][C]Lambda[/C][C]1.89612025203924[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=152745&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=152745&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)
alpha21.6373009156172
beta-0.896120252039236
S.D.1.74737773171751
T-STAT-0.512837170677705
p-value0.635087496588259
Lambda1.89612025203924


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')