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Description of Statistical Computation

Author's title

Standard Deviation-Mean Plot-Inschrijvingen nieuwe personenwagens (Eigen re...

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationMon, 09 May 2011 18:11:38 +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/09/t1304964582r148i5opjw04o8j.htm/, Retrieved Tue, 14 May 2024 22:27:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=121319, Retrieved Tue, 14 May 2024 22:27:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact95

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...] [2011-05-09 18:11:38] [ebb64913e7d7e5b0e5266ebfea2a3acd] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
26281
23899
25727
30733
28599
16723
43738
45272
46532
41032
37967
35366
33892
21560
26588
33527
24859
17952
45504
40129
40357
41913
33730
37842
33025
24050
30429
34507
25189
20253
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

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=121319&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=121319&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121319&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
133489.08333333339588.116702539429809
233154.41666666678687.5581197096727552
336463.916666666710032.663649376228697
441204.666666666711243.512184474438339
544739.416666666712776.95091994240106
641149.833333333310195.21449088537484
741612.2510693.578082407534883

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 33489.0833333333 & 9588.1167025394 & 29809 \tabularnewline
2 & 33154.4166666667 & 8687.55811970967 & 27552 \tabularnewline
3 & 36463.9166666667 & 10032.6636493762 & 28697 \tabularnewline
4 & 41204.6666666667 & 11243.5121844744 & 38339 \tabularnewline
5 & 44739.4166666667 & 12776.950919942 & 40106 \tabularnewline
6 & 41149.8333333333 & 10195.214490885 & 37484 \tabularnewline
7 & 41612.25 & 10693.5780824075 & 34883 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121319&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]33489.0833333333[/C][C]9588.1167025394[/C][C]29809[/C][/ROW]
[ROW][C]2[/C][C]33154.4166666667[/C][C]8687.55811970967[/C][C]27552[/C][/ROW]
[ROW][C]3[/C][C]36463.9166666667[/C][C]10032.6636493762[/C][C]28697[/C][/ROW]
[ROW][C]4[/C][C]41204.6666666667[/C][C]11243.5121844744[/C][C]38339[/C][/ROW]
[ROW][C]5[/C][C]44739.4166666667[/C][C]12776.950919942[/C][C]40106[/C][/ROW]
[ROW][C]6[/C][C]41149.8333333333[/C][C]10195.214490885[/C][C]37484[/C][/ROW]
[ROW][C]7[/C][C]41612.25[/C][C]10693.5780824075[/C][C]34883[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121319&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121319&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
133489.08333333339588.116702539429809
233154.41666666678687.5581197096727552
336463.916666666710032.663649376228697
441204.666666666711243.512184474438339
544739.416666666712776.95091994240106
641149.833333333310195.21449088537484
741612.2510693.578082407534883






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha327.954919053329
beta0.260921138841642
S.D.0.0580228999659447
T-STAT4.49686484120552
p-value0.00641804937788333

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 327.954919053329 \tabularnewline
beta & 0.260921138841642 \tabularnewline
S.D. & 0.0580228999659447 \tabularnewline
T-STAT & 4.49686484120552 \tabularnewline
p-value & 0.00641804937788333 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121319&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]327.954919053329[/C][/ROW]
[ROW][C]beta[/C][C]0.260921138841642[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0580228999659447[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.49686484120552[/C][/ROW]
[ROW][C]p-value[/C][C]0.00641804937788333[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121319&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121319&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)
alpha327.954919053329
beta0.260921138841642
S.D.0.0580228999659447
T-STAT4.49686484120552
p-value0.00641804937788333






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-0.660344344961459
beta0.938263323162203
S.D.0.205637690906874
T-STAT4.56270112266097
p-value0.00604199403619036
Lambda0.0617366768377973

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -0.660344344961459 \tabularnewline
beta & 0.938263323162203 \tabularnewline
S.D. & 0.205637690906874 \tabularnewline
T-STAT & 4.56270112266097 \tabularnewline
p-value & 0.00604199403619036 \tabularnewline
Lambda & 0.0617366768377973 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121319&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.660344344961459[/C][/ROW]
[ROW][C]beta[/C][C]0.938263323162203[/C][/ROW]
[ROW][C]S.D.[/C][C]0.205637690906874[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.56270112266097[/C][/ROW]
[ROW][C]p-value[/C][C]0.00604199403619036[/C][/ROW]
[ROW][C]Lambda[/C][C]0.0617366768377973[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121319&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121319&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-0.660344344961459
beta0.938263323162203
S.D.0.205637690906874
T-STAT4.56270112266097
p-value0.00604199403619036
Lambda0.0617366768377973


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')