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Description of Statistical Computation

Author's title

Sarah Geerts - Standaard deviatie plot - inschrijvingen nieuwe personenwage...

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationFri, 20 May 2011 00:11:57 +0000
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/May/20/t13058501476b3cclilxs3vyhn.htm/, Retrieved Sun, 12 May 2024 12:52:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=122324, Retrieved Sun, 12 May 2024 12:52:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact123

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Variability] [maximuprijs 2006 ...] [2010-01-02 20:22:48] [ef87393097b01fda8ad7ae01bd2302b6]
- RMPD  [Standard Deviation-Mean Plot] [Standard Deviatio...] [2010-01-06 09:49:30] [6797cdeb32c30e9f935f3913baaaa461]
- R  D    [Standard Deviation-Mean Plot] [Sarah Geerts - st...] [2011-05-19 23:31:05] [38950998a23e7419c15b25db858fbdfd]
- RM D      [Standard Deviation Plot] [Sarah Geerts - St...] [2011-05-19 23:47:52] [80ed5c0d9b0998e58dd5f2ee3664b764]
-             [Standard Deviation Plot] [Sarah Geerts - St...] [2011-05-20 00:00:11] [38950998a23e7419c15b25db858fbdfd]
- RM              [Standard Deviation-Mean Plot] [Sarah Geerts - St...] [2011-05-20 00:11:57] [0b99204a0dc37104849df68eb9128a1a] [Current]
- R P               [Standard Deviation-Mean Plot] [Sarah Geerts - St...] [2011-05-20 03:52:09] [38950998a23e7419c15b25db858fbdfd]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
31.514
27.071
29.462
26.105
22.397
23.843
21.705
18.089
20.764
25.316
17.704
15.548
28.029
29.383
36.438
32.034
22.679
24.319
18.004
17.537
20.366
22.782
19.169
13.807
29.743
25.591
29.096
26.482
22.405
27.044
17.970
18.730
19.684
19.785
18.479
10.698
31.956
29.506
34.506
27.165
26.736
23.691
18.157
17.328
18.205
20.995
17.382
9.367
31.124
26.551
30.651
25.859
25.100
25.778
20.418
18.688
20.424
24.776
19.814
12.738
31.566
30.111
30.019
31.934
25.826
26.835
20.205
17.789
20.520
22.518
15.572
11.509
25.447
24.090
27.786
26.195
20.516
22.759
19.028
16.971
20.036
22.485
18.730
14.538
27.561
25.985
34.670
32.066
27.186
29.586
21.359
21.553
19.573
24.256
22.380
16.167
27.297
28.287

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' @ 216.218.223.82

\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' @ 216.218.223.82 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122324&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' @ 216.218.223.82[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122324&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122324&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' @ 216.218.223.82






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
128.5382.434606744425065.409
221.50852.447509959121725.754
319.8334.235717806149669.768
431.4713.705633818930318.409
520.634753.379820347789716.782
619.0313.79303950238688.975
727.7282.004240005588154.152
821.537254.150630905858379.074
917.16154.349651212070539.087
1030.783253.160026938176327.341
1121.4784.501683907161859.408
1216.487254.9922944875077211.628
1328.546252.725013929628015.265
1422.4963.481919394050747.09
1519.4384.9832324181532312.038
1630.90750.9850835835941371.915
1722.663754.366836793759689.046
1817.529754.9634144413565411.009
1925.87951.540957386388953.696
2019.81852.440368346513835.788
2118.947253.326145654758177.947
2230.07054.005259916659598.685
2324.9214.120020954639278.227
2420.5943.523294386413568.089

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 28.538 & 2.43460674442506 & 5.409 \tabularnewline
2 & 21.5085 & 2.44750995912172 & 5.754 \tabularnewline
3 & 19.833 & 4.23571780614966 & 9.768 \tabularnewline
4 & 31.471 & 3.70563381893031 & 8.409 \tabularnewline
5 & 20.63475 & 3.37982034778971 & 6.782 \tabularnewline
6 & 19.031 & 3.7930395023868 & 8.975 \tabularnewline
7 & 27.728 & 2.00424000558815 & 4.152 \tabularnewline
8 & 21.53725 & 4.15063090585837 & 9.074 \tabularnewline
9 & 17.1615 & 4.34965121207053 & 9.087 \tabularnewline
10 & 30.78325 & 3.16002693817632 & 7.341 \tabularnewline
11 & 21.478 & 4.50168390716185 & 9.408 \tabularnewline
12 & 16.48725 & 4.99229448750772 & 11.628 \tabularnewline
13 & 28.54625 & 2.72501392962801 & 5.265 \tabularnewline
14 & 22.496 & 3.48191939405074 & 7.09 \tabularnewline
15 & 19.438 & 4.98323241815323 & 12.038 \tabularnewline
16 & 30.9075 & 0.985083583594137 & 1.915 \tabularnewline
17 & 22.66375 & 4.36683679375968 & 9.046 \tabularnewline
18 & 17.52975 & 4.96341444135654 & 11.009 \tabularnewline
19 & 25.8795 & 1.54095738638895 & 3.696 \tabularnewline
20 & 19.8185 & 2.44036834651383 & 5.788 \tabularnewline
21 & 18.94725 & 3.32614565475817 & 7.947 \tabularnewline
22 & 30.0705 & 4.00525991665959 & 8.685 \tabularnewline
23 & 24.921 & 4.12002095463927 & 8.227 \tabularnewline
24 & 20.594 & 3.52329438641356 & 8.089 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122324&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]28.538[/C][C]2.43460674442506[/C][C]5.409[/C][/ROW]
[ROW][C]2[/C][C]21.5085[/C][C]2.44750995912172[/C][C]5.754[/C][/ROW]
[ROW][C]3[/C][C]19.833[/C][C]4.23571780614966[/C][C]9.768[/C][/ROW]
[ROW][C]4[/C][C]31.471[/C][C]3.70563381893031[/C][C]8.409[/C][/ROW]
[ROW][C]5[/C][C]20.63475[/C][C]3.37982034778971[/C][C]6.782[/C][/ROW]
[ROW][C]6[/C][C]19.031[/C][C]3.7930395023868[/C][C]8.975[/C][/ROW]
[ROW][C]7[/C][C]27.728[/C][C]2.00424000558815[/C][C]4.152[/C][/ROW]
[ROW][C]8[/C][C]21.53725[/C][C]4.15063090585837[/C][C]9.074[/C][/ROW]
[ROW][C]9[/C][C]17.1615[/C][C]4.34965121207053[/C][C]9.087[/C][/ROW]
[ROW][C]10[/C][C]30.78325[/C][C]3.16002693817632[/C][C]7.341[/C][/ROW]
[ROW][C]11[/C][C]21.478[/C][C]4.50168390716185[/C][C]9.408[/C][/ROW]
[ROW][C]12[/C][C]16.48725[/C][C]4.99229448750772[/C][C]11.628[/C][/ROW]
[ROW][C]13[/C][C]28.54625[/C][C]2.72501392962801[/C][C]5.265[/C][/ROW]
[ROW][C]14[/C][C]22.496[/C][C]3.48191939405074[/C][C]7.09[/C][/ROW]
[ROW][C]15[/C][C]19.438[/C][C]4.98323241815323[/C][C]12.038[/C][/ROW]
[ROW][C]16[/C][C]30.9075[/C][C]0.985083583594137[/C][C]1.915[/C][/ROW]
[ROW][C]17[/C][C]22.66375[/C][C]4.36683679375968[/C][C]9.046[/C][/ROW]
[ROW][C]18[/C][C]17.52975[/C][C]4.96341444135654[/C][C]11.009[/C][/ROW]
[ROW][C]19[/C][C]25.8795[/C][C]1.54095738638895[/C][C]3.696[/C][/ROW]
[ROW][C]20[/C][C]19.8185[/C][C]2.44036834651383[/C][C]5.788[/C][/ROW]
[ROW][C]21[/C][C]18.94725[/C][C]3.32614565475817[/C][C]7.947[/C][/ROW]
[ROW][C]22[/C][C]30.0705[/C][C]4.00525991665959[/C][C]8.685[/C][/ROW]
[ROW][C]23[/C][C]24.921[/C][C]4.12002095463927[/C][C]8.227[/C][/ROW]
[ROW][C]24[/C][C]20.594[/C][C]3.52329438641356[/C][C]8.089[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122324&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122324&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
128.5382.434606744425065.409
221.50852.447509959121725.754
319.8334.235717806149669.768
431.4713.705633818930318.409
520.634753.379820347789716.782
619.0313.79303950238688.975
727.7282.004240005588154.152
821.537254.150630905858379.074
917.16154.349651212070539.087
1030.783253.160026938176327.341
1121.4784.501683907161859.408
1216.487254.9922944875077211.628
1328.546252.725013929628015.265
1422.4963.481919394050747.09
1519.4384.9832324181532312.038
1630.90750.9850835835941371.915
1722.663754.366836793759689.046
1817.529754.9634144413565411.009
1925.87951.540957386388953.696
2019.81852.440368346513835.788
2118.947253.326145654758177.947
2230.07054.005259916659598.685
2324.9214.120020954639278.227
2420.5943.523294386413568.089






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha6.43705796514067
beta-0.127011727206539
S.D.0.0401547088809407
T-STAT-3.16305934586977
p-value0.00450726185523304

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 6.43705796514067 \tabularnewline
beta & -0.127011727206539 \tabularnewline
S.D. & 0.0401547088809407 \tabularnewline
T-STAT & -3.16305934586977 \tabularnewline
p-value & 0.00450726185523304 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122324&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.43705796514067[/C][/ROW]
[ROW][C]beta[/C][C]-0.127011727206539[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0401547088809407[/C][/ROW]
[ROW][C]T-STAT[/C][C]-3.16305934586977[/C][/ROW]
[ROW][C]p-value[/C][C]0.00450726185523304[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122324&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122324&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)
alpha6.43705796514067
beta-0.127011727206539
S.D.0.0401547088809407
T-STAT-3.16305934586977
p-value0.00450726185523304






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha4.51914640764671
beta-1.06634127352115
S.D.0.349024867710889
T-STAT-3.05520142594665
p-value0.0058008669409773
Lambda2.06634127352115

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 4.51914640764671 \tabularnewline
beta & -1.06634127352115 \tabularnewline
S.D. & 0.349024867710889 \tabularnewline
T-STAT & -3.05520142594665 \tabularnewline
p-value & 0.0058008669409773 \tabularnewline
Lambda & 2.06634127352115 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=122324&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.51914640764671[/C][/ROW]
[ROW][C]beta[/C][C]-1.06634127352115[/C][/ROW]
[ROW][C]S.D.[/C][C]0.349024867710889[/C][/ROW]
[ROW][C]T-STAT[/C][C]-3.05520142594665[/C][/ROW]
[ROW][C]p-value[/C][C]0.0058008669409773[/C][/ROW]
[ROW][C]Lambda[/C][C]2.06634127352115[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=122324&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=122324&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)
alpha4.51914640764671
beta-1.06634127352115
S.D.0.349024867710889
T-STAT-3.05520142594665
p-value0.0058008669409773
Lambda2.06634127352115


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 4 ;
Parameters (R input):
par1 = 4 ;
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')