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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 computationFri, 23 Nov 2007 08:19:20 -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/2007/Nov/23/t1195830668y61ohdlgdjfi9cs.htm/, Retrieved Sun, 28 Apr 2024 22:45:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=6187, Retrieved Sun, 28 Apr 2024 22:45:43 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact180

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] [Workshop7-q1a] [2007-11-23 15:19:20] [129742d52914620af0bad7eb53591257] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
48527
44446
46380
48950
38883
42928
37107
30186
32602
39892
32194
21629
59968
45694
55756
48554
41052
49822
39191
31994
35735
38930
33658
23849
58972
59249
63955
53785
52760
44795
37348
32370
32717
40974
33591
21124
58608
46865
51378
46235
47206
45382
41227
33795
31295
42625
33625
21538
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

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6187&T=0

[TABLE]
[ROW][C]Summary of compuational 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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6187&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6187&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
138643.66666666678305.978825064771490
242016.916666666710385.695901385716067
344303.333333333313397.876197594217575
441648.2510064.216061463414709
539402.512354.525608051518889
638597.757707.2625151393912285
740771.833333333310830.935205430929984
840408.83333333339487.2714233654226104

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 38643.6666666667 & 8305.97882506477 & 1490 \tabularnewline
2 & 42016.9166666667 & 10385.6959013857 & 16067 \tabularnewline
3 & 44303.3333333333 & 13397.8761975942 & 17575 \tabularnewline
4 & 41648.25 & 10064.2160614634 & 14709 \tabularnewline
5 & 39402.5 & 12354.5256080515 & 18889 \tabularnewline
6 & 38597.75 & 7707.26251513939 & 12285 \tabularnewline
7 & 40771.8333333333 & 10830.9352054309 & 29984 \tabularnewline
8 & 40408.8333333333 & 9487.27142336542 & 26104 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6187&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]38643.6666666667[/C][C]8305.97882506477[/C][C]1490[/C][/ROW]
[ROW][C]2[/C][C]42016.9166666667[/C][C]10385.6959013857[/C][C]16067[/C][/ROW]
[ROW][C]3[/C][C]44303.3333333333[/C][C]13397.8761975942[/C][C]17575[/C][/ROW]
[ROW][C]4[/C][C]41648.25[/C][C]10064.2160614634[/C][C]14709[/C][/ROW]
[ROW][C]5[/C][C]39402.5[/C][C]12354.5256080515[/C][C]18889[/C][/ROW]
[ROW][C]6[/C][C]38597.75[/C][C]7707.26251513939[/C][C]12285[/C][/ROW]
[ROW][C]7[/C][C]40771.8333333333[/C][C]10830.9352054309[/C][C]29984[/C][/ROW]
[ROW][C]8[/C][C]40408.8333333333[/C][C]9487.27142336542[/C][C]26104[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6187&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6187&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
138643.66666666678305.978825064771490
242016.916666666710385.695901385716067
344303.333333333313397.876197594217575
441648.2510064.216061463414709
539402.512354.525608051518889
638597.757707.2625151393912285
740771.833333333310830.935205430929984
840408.83333333339487.2714233654226104






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-18166.3463747285
beta0.699414887522903
S.D.0.286078734546311
T-STAT2.44483354777173
p-value0.0501413430046424

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -18166.3463747285 \tabularnewline
beta & 0.699414887522903 \tabularnewline
S.D. & 0.286078734546311 \tabularnewline
T-STAT & 2.44483354777173 \tabularnewline
p-value & 0.0501413430046424 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6187&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-18166.3463747285[/C][/ROW]
[ROW][C]beta[/C][C]0.699414887522903[/C][/ROW]
[ROW][C]S.D.[/C][C]0.286078734546311[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.44483354777173[/C][/ROW]
[ROW][C]p-value[/C][C]0.0501413430046424[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6187&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6187&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-18166.3463747285
beta0.699414887522903
S.D.0.286078734546311
T-STAT2.44483354777173
p-value0.0501413430046424






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-20.7354034106512
beta2.82297093453632
S.D.1.13583020309127
T-STAT2.48538111317460
p-value0.0474581317698309
Lambda-1.82297093453632

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -20.7354034106512 \tabularnewline
beta & 2.82297093453632 \tabularnewline
S.D. & 1.13583020309127 \tabularnewline
T-STAT & 2.48538111317460 \tabularnewline
p-value & 0.0474581317698309 \tabularnewline
Lambda & -1.82297093453632 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6187&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-20.7354034106512[/C][/ROW]
[ROW][C]beta[/C][C]2.82297093453632[/C][/ROW]
[ROW][C]S.D.[/C][C]1.13583020309127[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.48538111317460[/C][/ROW]
[ROW][C]p-value[/C][C]0.0474581317698309[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.82297093453632[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6187&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6187&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-20.7354034106512
beta2.82297093453632
S.D.1.13583020309127
T-STAT2.48538111317460
p-value0.0474581317698309
Lambda-1.82297093453632


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')