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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 computationTue, 20 Dec 2011 05:14:01 -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/20/t1324376071p04tqfkubk8fdi2.htm/, Retrieved Mon, 06 May 2024 03:52:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=157877, Retrieved Mon, 06 May 2024 03:52:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact99

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [Unemployment] [2010-11-29 10:34:47] [b98453cac15ba1066b407e146608df68]
- R PD    [Standard Deviation-Mean Plot] [WS IX-aantal over...] [2011-12-06 19:58:00] [74be16979710d4c4e7c6647856088456]
-    D        [Standard Deviation-Mean Plot] [Paper stationarit...] [2011-12-20 10:14:01] [3e388c05c22237d436c48535c44f60bb] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
18992
0
21552
1868501
7185612
10348382
6942386
4306121
2833176
1515513
1242981
699343
89497
128
10585
1070323
7167741
13193530
7885720
6785683
3106846
1706331
1286534
499079
24637
16
27309
873433
8435418
11290088
6840395
3803252
4388988
2680940
1174135
328388
22943
5657
28156
770831
8378147
13274946
7297840
2848227
2892179
1762224
1009375
188388
3393
0
13807
2619905
13297704
6240087
5108460
4553381
3148546
2433387
1748108
723454
58525
792
42585
1634386
10360570
6798599
4847748
4971202
343863
2200366
1549422
90144
63288
338
44863
1678135
9293357
9361258
6766402
4331272
3518962
2425786
1701795
552452
16104
0
90198
1731332
7954135
11561342
6834733
4255652
4243070
3415216
1841237
655456

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'Gertrude Mary Cox' @ cox.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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=157877&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=157877&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=157877&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'Gertrude Mary Cox' @ cox.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
13081879.916666673402345.3794670510348382
23566833.083333334227940.180762413193402
33322249.916666673767459.7651468611290072
43206576.083333334237525.3748167113269289
533241863769166.7106715713297704
62741516.833333333325248.2910475810359778
73311492.333333333454153.851295929360920
83549872.916666673656014.8944604711561342

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3081879.91666667 & 3402345.37946705 & 10348382 \tabularnewline
2 & 3566833.08333333 & 4227940.1807624 & 13193402 \tabularnewline
3 & 3322249.91666667 & 3767459.76514686 & 11290072 \tabularnewline
4 & 3206576.08333333 & 4237525.37481671 & 13269289 \tabularnewline
5 & 3324186 & 3769166.71067157 & 13297704 \tabularnewline
6 & 2741516.83333333 & 3325248.29104758 & 10359778 \tabularnewline
7 & 3311492.33333333 & 3454153.85129592 & 9360920 \tabularnewline
8 & 3549872.91666667 & 3656014.89446047 & 11561342 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=157877&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]3081879.91666667[/C][C]3402345.37946705[/C][C]10348382[/C][/ROW]
[ROW][C]2[/C][C]3566833.08333333[/C][C]4227940.1807624[/C][C]13193402[/C][/ROW]
[ROW][C]3[/C][C]3322249.91666667[/C][C]3767459.76514686[/C][C]11290072[/C][/ROW]
[ROW][C]4[/C][C]3206576.08333333[/C][C]4237525.37481671[/C][C]13269289[/C][/ROW]
[ROW][C]5[/C][C]3324186[/C][C]3769166.71067157[/C][C]13297704[/C][/ROW]
[ROW][C]6[/C][C]2741516.83333333[/C][C]3325248.29104758[/C][C]10359778[/C][/ROW]
[ROW][C]7[/C][C]3311492.33333333[/C][C]3454153.85129592[/C][C]9360920[/C][/ROW]
[ROW][C]8[/C][C]3549872.91666667[/C][C]3656014.89446047[/C][C]11561342[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=157877&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=157877&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
13081879.916666673402345.3794670510348382
23566833.083333334227940.180762413193402
33322249.916666673767459.7651468611290072
43206576.083333334237525.3748167113269289
533241863769166.7106715713297704
62741516.833333333325248.2910475810359778
73311492.333333333454153.851295929360920
83549872.916666673656014.8944604711561342






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha1322632.2607299
beta0.737754692125792
S.D.0.448258554826598
T-STAT1.64582400978645
p-value0.150901086713688

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1322632.2607299 \tabularnewline
beta & 0.737754692125792 \tabularnewline
S.D. & 0.448258554826598 \tabularnewline
T-STAT & 1.64582400978645 \tabularnewline
p-value & 0.150901086713688 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=157877&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1322632.2607299[/C][/ROW]
[ROW][C]beta[/C][C]0.737754692125792[/C][/ROW]
[ROW][C]S.D.[/C][C]0.448258554826598[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.64582400978645[/C][/ROW]
[ROW][C]p-value[/C][C]0.150901086713688[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=157877&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=157877&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)
alpha1322632.2607299
beta0.737754692125792
S.D.0.448258554826598
T-STAT1.64582400978645
p-value0.150901086713688






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha5.58634759775628
beta0.636324216558737
S.D.0.365613676368735
T-STAT1.74042782775166
p-value0.132432021286811
Lambda0.363675783441263

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 5.58634759775628 \tabularnewline
beta & 0.636324216558737 \tabularnewline
S.D. & 0.365613676368735 \tabularnewline
T-STAT & 1.74042782775166 \tabularnewline
p-value & 0.132432021286811 \tabularnewline
Lambda & 0.363675783441263 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=157877&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5.58634759775628[/C][/ROW]
[ROW][C]beta[/C][C]0.636324216558737[/C][/ROW]
[ROW][C]S.D.[/C][C]0.365613676368735[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.74042782775166[/C][/ROW]
[ROW][C]p-value[/C][C]0.132432021286811[/C][/ROW]
[ROW][C]Lambda[/C][C]0.363675783441263[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=157877&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=157877&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)
alpha5.58634759775628
beta0.636324216558737
S.D.0.365613676368735
T-STAT1.74042782775166
p-value0.132432021286811
Lambda0.363675783441263


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')