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Description of Statistical Computation

Author's title

standard deviation mean plot niet werkende-werkzoekende tss25_40/filiz ayde...

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationThu, 04 Jun 2009 03:42:46 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Jun/04/t1244108620tace7icsb8lpxyl.htm/, Retrieved Tue, 14 May 2024 02:32:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=41563, Retrieved Tue, 14 May 2024 02:32:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact127

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...] [2009-06-04 09:42:46] [d19dedf3d9cbe742e7fe81d57ca6286d] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
233084
233898
231355
232662
230037
231814
246796
247891
248291
245766
238776
242541
246861
246843
246947
241679
240085
241514
250525
250567
252145
251877
245817
248269
246310
246733
245028
240022
238614
238096
248530
248381
247567
241783
235000
237384
238020
236412
232279
230408
230254
229217
239658
239906
236558
223566
216054
214685
216086
211692
204681
203075
198401
191246
206750
209611
199573
195635
190062
193134
194795
190835
185045
184425
177293
180549
195344
196597
189102
185749
185145
192243
197356

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'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41563&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41563&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41563&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'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1232749.751061.952407910392543
2239134.59517.1617092492517854
3243843.54117.13189004199515
4245582.52602.729016500445268
5245672.755657.3304879598510482
62495273039.906138901886328
7244523.253087.150506535116711
8243405.255835.6765603198610434
9240433.55523.5962017511712567
10234279.753536.919976005497612
11234758.755816.659945077310689
12222715.7510020.024430276321873
13208883.56087.2368389387813011
142015028328.6477894073518365
151946014022.625593647359511
161887754943.6626098470810370
17187445.759946.0414696836419304
18188059.753287.4102649357098

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 232749.75 & 1061.95240791039 & 2543 \tabularnewline
2 & 239134.5 & 9517.16170924925 & 17854 \tabularnewline
3 & 243843.5 & 4117.1318900419 & 9515 \tabularnewline
4 & 245582.5 & 2602.72901650044 & 5268 \tabularnewline
5 & 245672.75 & 5657.33048795985 & 10482 \tabularnewline
6 & 249527 & 3039.90613890188 & 6328 \tabularnewline
7 & 244523.25 & 3087.15050653511 & 6711 \tabularnewline
8 & 243405.25 & 5835.67656031986 & 10434 \tabularnewline
9 & 240433.5 & 5523.59620175117 & 12567 \tabularnewline
10 & 234279.75 & 3536.91997600549 & 7612 \tabularnewline
11 & 234758.75 & 5816.6599450773 & 10689 \tabularnewline
12 & 222715.75 & 10020.0244302763 & 21873 \tabularnewline
13 & 208883.5 & 6087.23683893878 & 13011 \tabularnewline
14 & 201502 & 8328.64778940735 & 18365 \tabularnewline
15 & 194601 & 4022.62559364735 & 9511 \tabularnewline
16 & 188775 & 4943.66260984708 & 10370 \tabularnewline
17 & 187445.75 & 9946.04146968364 & 19304 \tabularnewline
18 & 188059.75 & 3287.410264935 & 7098 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41563&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]232749.75[/C][C]1061.95240791039[/C][C]2543[/C][/ROW]
[ROW][C]2[/C][C]239134.5[/C][C]9517.16170924925[/C][C]17854[/C][/ROW]
[ROW][C]3[/C][C]243843.5[/C][C]4117.1318900419[/C][C]9515[/C][/ROW]
[ROW][C]4[/C][C]245582.5[/C][C]2602.72901650044[/C][C]5268[/C][/ROW]
[ROW][C]5[/C][C]245672.75[/C][C]5657.33048795985[/C][C]10482[/C][/ROW]
[ROW][C]6[/C][C]249527[/C][C]3039.90613890188[/C][C]6328[/C][/ROW]
[ROW][C]7[/C][C]244523.25[/C][C]3087.15050653511[/C][C]6711[/C][/ROW]
[ROW][C]8[/C][C]243405.25[/C][C]5835.67656031986[/C][C]10434[/C][/ROW]
[ROW][C]9[/C][C]240433.5[/C][C]5523.59620175117[/C][C]12567[/C][/ROW]
[ROW][C]10[/C][C]234279.75[/C][C]3536.91997600549[/C][C]7612[/C][/ROW]
[ROW][C]11[/C][C]234758.75[/C][C]5816.6599450773[/C][C]10689[/C][/ROW]
[ROW][C]12[/C][C]222715.75[/C][C]10020.0244302763[/C][C]21873[/C][/ROW]
[ROW][C]13[/C][C]208883.5[/C][C]6087.23683893878[/C][C]13011[/C][/ROW]
[ROW][C]14[/C][C]201502[/C][C]8328.64778940735[/C][C]18365[/C][/ROW]
[ROW][C]15[/C][C]194601[/C][C]4022.62559364735[/C][C]9511[/C][/ROW]
[ROW][C]16[/C][C]188775[/C][C]4943.66260984708[/C][C]10370[/C][/ROW]
[ROW][C]17[/C][C]187445.75[/C][C]9946.04146968364[/C][C]19304[/C][/ROW]
[ROW][C]18[/C][C]188059.75[/C][C]3287.410264935[/C][C]7098[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41563&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41563&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
1232749.751061.952407910392543
2239134.59517.1617092492517854
3243843.54117.13189004199515
4245582.52602.729016500445268
5245672.755657.3304879598510482
62495273039.906138901886328
7244523.253087.150506535116711
8243405.255835.6765603198610434
9240433.55523.5962017511712567
10234279.753536.919976005497612
11234758.755816.659945077310689
12222715.7510020.024430276321873
13208883.56087.2368389387813011
142015028328.6477894073518365
151946014022.625593647359511
161887754943.6626098470810370
17187445.759946.0414696836419304
18188059.753287.4102649357098






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha12400.6015109740
beta-0.0313352220453527
S.D.0.0274351083628085
T-STAT-1.14215776482338
p-value0.270193433312729

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 12400.6015109740 \tabularnewline
beta & -0.0313352220453527 \tabularnewline
S.D. & 0.0274351083628085 \tabularnewline
T-STAT & -1.14215776482338 \tabularnewline
p-value & 0.270193433312729 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41563&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]12400.6015109740[/C][/ROW]
[ROW][C]beta[/C][C]-0.0313352220453527[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0274351083628085[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.14215776482338[/C][/ROW]
[ROW][C]p-value[/C][C]0.270193433312729[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41563&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41563&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)
alpha12400.6015109740
beta-0.0313352220453527
S.D.0.0274351083628085
T-STAT-1.14215776482338
p-value0.270193433312729






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha24.8909909018448
beta-1.33429715848718
S.D.1.27519677275744
T-STAT-1.04634609104440
p-value0.310951992795474
Lambda2.33429715848718

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 24.8909909018448 \tabularnewline
beta & -1.33429715848718 \tabularnewline
S.D. & 1.27519677275744 \tabularnewline
T-STAT & -1.04634609104440 \tabularnewline
p-value & 0.310951992795474 \tabularnewline
Lambda & 2.33429715848718 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=41563&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]24.8909909018448[/C][/ROW]
[ROW][C]beta[/C][C]-1.33429715848718[/C][/ROW]
[ROW][C]S.D.[/C][C]1.27519677275744[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.04634609104440[/C][/ROW]
[ROW][C]p-value[/C][C]0.310951992795474[/C][/ROW]
[ROW][C]Lambda[/C][C]2.33429715848718[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=41563&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=41563&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)
alpha24.8909909018448
beta-1.33429715848718
S.D.1.27519677275744
T-STAT-1.04634609104440
p-value0.310951992795474
Lambda2.33429715848718


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')