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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, 21 May 2008 15:11:32 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/May/21/t1211404337da8ayce0wf86sln.htm/, Retrieved Wed, 15 May 2024 22:28:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=13014, Retrieved Wed, 15 May 2024 22:28:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact209

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...] [2008-05-21 21:11:32] [44b2d8b8036e185eb8f24143872c8311] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
56421
53152
53536
52408
41454
38271
35306
26414
31917
38030
27534
18387
50556
43901
48572
43899
37532
40357
35489
29027
34485
42598
30306
26451
47460
50104
61465
53726
39477
43895
31481
29896
33842
39120
33702
25094
51442
45594
52518
48564
41745
49585
32747
33379
35645
37034
35681
20972
58552
54955
65540
51570
51145
46641
35704
33253
35193
41668
34865
21210
56126
49231
59723
48103
47472
50497
40059
34149
36860
46356
36577

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' @ 72.249.76.132

\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' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13014&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' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13014&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13014&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' @ 72.249.76.132






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
139402.512354.525608051538034
238597.757707.2625151393924105
340771.833333333310830.935205430936371
440408.83333333339487.2714233654231546
544191.333333333312723.604608853044330

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 39402.5 & 12354.5256080515 & 38034 \tabularnewline
2 & 38597.75 & 7707.26251513939 & 24105 \tabularnewline
3 & 40771.8333333333 & 10830.9352054309 & 36371 \tabularnewline
4 & 40408.8333333333 & 9487.27142336542 & 31546 \tabularnewline
5 & 44191.3333333333 & 12723.6046088530 & 44330 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13014&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]39402.5[/C][C]12354.5256080515[/C][C]38034[/C][/ROW]
[ROW][C]2[/C][C]38597.75[/C][C]7707.26251513939[/C][C]24105[/C][/ROW]
[ROW][C]3[/C][C]40771.8333333333[/C][C]10830.9352054309[/C][C]36371[/C][/ROW]
[ROW][C]4[/C][C]40408.8333333333[/C][C]9487.27142336542[/C][C]31546[/C][/ROW]
[ROW][C]5[/C][C]44191.3333333333[/C][C]12723.6046088530[/C][C]44330[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13014&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13014&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
139402.512354.525608051538034
238597.757707.2625151393924105
340771.833333333310830.935205430936371
440408.83333333339487.2714233654231546
544191.333333333312723.604608853044330






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-14967.4455727023
beta0.629096778072483
S.D.0.425265581906502
T-STAT1.47930329854626
p-value0.235610964177042

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -14967.4455727023 \tabularnewline
beta & 0.629096778072483 \tabularnewline
S.D. & 0.425265581906502 \tabularnewline
T-STAT & 1.47930329854626 \tabularnewline
p-value & 0.235610964177042 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13014&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-14967.4455727023[/C][/ROW]
[ROW][C]beta[/C][C]0.629096778072483[/C][/ROW]
[ROW][C]S.D.[/C][C]0.425265581906502[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.47930329854626[/C][/ROW]
[ROW][C]p-value[/C][C]0.235610964177042[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13014&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13014&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-14967.4455727023
beta0.629096778072483
S.D.0.425265581906502
T-STAT1.47930329854626
p-value0.235610964177042






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-18.2595225832203
beta2.59262804133193
S.D.1.75219242483904
T-STAT1.47964801387045
p-value0.235526258862511
Lambda-1.59262804133193

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -18.2595225832203 \tabularnewline
beta & 2.59262804133193 \tabularnewline
S.D. & 1.75219242483904 \tabularnewline
T-STAT & 1.47964801387045 \tabularnewline
p-value & 0.235526258862511 \tabularnewline
Lambda & -1.59262804133193 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=13014&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-18.2595225832203[/C][/ROW]
[ROW][C]beta[/C][C]2.59262804133193[/C][/ROW]
[ROW][C]S.D.[/C][C]1.75219242483904[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.47964801387045[/C][/ROW]
[ROW][C]p-value[/C][C]0.235526258862511[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.59262804133193[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=13014&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=13014&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-18.2595225832203
beta2.59262804133193
S.D.1.75219242483904
T-STAT1.47964801387045
p-value0.235526258862511
Lambda-1.59262804133193


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')