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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 computationThu, 13 Dec 2007 05:23:26 -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/Dec/13/t1197547715hz2lz0wqjzv86zm.htm/, Retrieved Sun, 05 May 2024 16:04:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=3473, Retrieved Sun, 05 May 2024 16:04:12 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact232

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Central Tendency] [Paper_EDA_output1] [2007-12-13 08:57:44] [e44956fac49704be9081ff9a6fb8481a]
- RMPD    [Standard Deviation-Mean Plot] [Paper_SMP_output4] [2007-12-13 12:23:26] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
36409
33163
34122
35225
28249
30374
26311
22069
23651
28628
23187
14727
43080
32519
39657
33614
28671
34243
27336
22916
24537
26128
22602
15744
41086
39690
43129
37863
35953
29133
24693
22205
21725
27192
21790
13253
37702
30364
32609
30212
29965
28352
25814
22414
20506
28806
22228
13971
36845
35338
35022
34777
26887
23970
22780
17351
21382
24561
17409
11514
31514
27071
29462
26105
22397
23843
21705
18089
20764
25316
17704
15548
28029
29383
36438
32034
22679
24319
18004
17537
20366
22782
19169
13807
29743
25591
29096
26482
22405
27044
17970
18730
19684
19785
18479
10698

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 4 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=3473&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=3473&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3473&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 time4 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
128009.58333333336391.893295535778380
229253.91666666677727.8754984599117489
329809.33333333339534.1464349161514033
426911.91666666676314.1373766022911597
5256538306.2242051039414448
623293.16666666674863.977250868857671
723712.256639.8206865848418468
822142.255608.3585043786512392

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 28009.5833333333 & 6391.89329553577 & 8380 \tabularnewline
2 & 29253.9166666667 & 7727.87549845991 & 17489 \tabularnewline
3 & 29809.3333333333 & 9534.14643491615 & 14033 \tabularnewline
4 & 26911.9166666667 & 6314.13737660229 & 11597 \tabularnewline
5 & 25653 & 8306.22420510394 & 14448 \tabularnewline
6 & 23293.1666666667 & 4863.97725086885 & 7671 \tabularnewline
7 & 23712.25 & 6639.82068658484 & 18468 \tabularnewline
8 & 22142.25 & 5608.35850437865 & 12392 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=3473&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]28009.5833333333[/C][C]6391.89329553577[/C][C]8380[/C][/ROW]
[ROW][C]2[/C][C]29253.9166666667[/C][C]7727.87549845991[/C][C]17489[/C][/ROW]
[ROW][C]3[/C][C]29809.3333333333[/C][C]9534.14643491615[/C][C]14033[/C][/ROW]
[ROW][C]4[/C][C]26911.9166666667[/C][C]6314.13737660229[/C][C]11597[/C][/ROW]
[ROW][C]5[/C][C]25653[/C][C]8306.22420510394[/C][C]14448[/C][/ROW]
[ROW][C]6[/C][C]23293.1666666667[/C][C]4863.97725086885[/C][C]7671[/C][/ROW]
[ROW][C]7[/C][C]23712.25[/C][C]6639.82068658484[/C][C]18468[/C][/ROW]
[ROW][C]8[/C][C]22142.25[/C][C]5608.35850437865[/C][C]12392[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=3473&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3473&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
128009.58333333336391.893295535778380
229253.91666666677727.8754984599117489
329809.33333333339534.1464349161514033
426911.91666666676314.1373766022911597
5256538306.2242051039414448
623293.16666666674863.977250868857671
723712.256639.8206865848418468
822142.255608.3585043786512392






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-2958.93358955809
beta0.378656245398278
S.D.0.150825601185705
T-STAT2.51055684460396
p-value0.0458686906540211

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -2958.93358955809 \tabularnewline
beta & 0.378656245398278 \tabularnewline
S.D. & 0.150825601185705 \tabularnewline
T-STAT & 2.51055684460396 \tabularnewline
p-value & 0.0458686906540211 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=3473&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2958.93358955809[/C][/ROW]
[ROW][C]beta[/C][C]0.378656245398278[/C][/ROW]
[ROW][C]S.D.[/C][C]0.150825601185705[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.51055684460396[/C][/ROW]
[ROW][C]p-value[/C][C]0.0458686906540211[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=3473&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3473&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-2958.93358955809
beta0.378656245398278
S.D.0.150825601185705
T-STAT2.51055684460396
p-value0.0458686906540211






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-5.54808408878476
beta1.41377918485963
S.D.0.554225305590932
T-STAT2.5509105603762
p-value0.0434372822445757
Lambda-0.413779184859634

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -5.54808408878476 \tabularnewline
beta & 1.41377918485963 \tabularnewline
S.D. & 0.554225305590932 \tabularnewline
T-STAT & 2.5509105603762 \tabularnewline
p-value & 0.0434372822445757 \tabularnewline
Lambda & -0.413779184859634 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=3473&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-5.54808408878476[/C][/ROW]
[ROW][C]beta[/C][C]1.41377918485963[/C][/ROW]
[ROW][C]S.D.[/C][C]0.554225305590932[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.5509105603762[/C][/ROW]
[ROW][C]p-value[/C][C]0.0434372822445757[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.413779184859634[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=3473&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3473&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-5.54808408878476
beta1.41377918485963
S.D.0.554225305590932
T-STAT2.5509105603762
p-value0.0434372822445757
Lambda-0.413779184859634


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')