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Description of Statistical Computation

Author's title

Bouwvergunningen volgens effectieve datum van toekenning - woongebouwen - B...

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationSat, 28 Apr 2012 06:51:47 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Apr/28/t1335610352aegsp01bjfegbht.htm/, Retrieved Sun, 05 May 2024 01:07:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=165003, Retrieved Sun, 05 May 2024 01:07:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact134

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] [Bouwvergunningen ...] [2012-04-28 10:51:47] [1924da7ecb4a93ab5e2de1fdfa2878e4] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3440
2678
2981
2260
2844
2546
2456
2295
2379
2479
2057
2280
2351
2276
2548
2311
2201
2725
2408
2139
1898
2539
2070
2063
2565
2442
2194
2798
2074
2628
2289
2154
2468
2137
1850
2078
1791
1755
2232
1954
1822
2522
2074
2366
2173
2094
1833
1858
2040
2133
2921
3252
3318
3556
2305
1618
1314
1501
1414
1661

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'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165003&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165003&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165003&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'Herman Ole Andreas Wold' @ wold.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
12557.91666666667379.9685293985981383
22294.08333333333237.446054479494827
32306.41666666667275.649467236704948
42039.5247.044530398874767
52252.75811.4838400900372242

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2557.91666666667 & 379.968529398598 & 1383 \tabularnewline
2 & 2294.08333333333 & 237.446054479494 & 827 \tabularnewline
3 & 2306.41666666667 & 275.649467236704 & 948 \tabularnewline
4 & 2039.5 & 247.044530398874 & 767 \tabularnewline
5 & 2252.75 & 811.483840090037 & 2242 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165003&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]2557.91666666667[/C][C]379.968529398598[/C][C]1383[/C][/ROW]
[ROW][C]2[/C][C]2294.08333333333[/C][C]237.446054479494[/C][C]827[/C][/ROW]
[ROW][C]3[/C][C]2306.41666666667[/C][C]275.649467236704[/C][C]948[/C][/ROW]
[ROW][C]4[/C][C]2039.5[/C][C]247.044530398874[/C][C]767[/C][/ROW]
[ROW][C]5[/C][C]2252.75[/C][C]811.483840090037[/C][C]2242[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165003&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165003&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
12557.91666666667379.9685293985981383
22294.08333333333237.446054479494827
32306.41666666667275.649467236704948
42039.5247.044530398874767
52252.75811.4838400900372242






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha139.417345247611
beta0.10955743729905
S.D.0.754969496518284
T-STAT0.145115051408433
p-value0.893821238984468

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 139.417345247611 \tabularnewline
beta & 0.10955743729905 \tabularnewline
S.D. & 0.754969496518284 \tabularnewline
T-STAT & 0.145115051408433 \tabularnewline
p-value & 0.893821238984468 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165003&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]139.417345247611[/C][/ROW]
[ROW][C]beta[/C][C]0.10955743729905[/C][/ROW]
[ROW][C]S.D.[/C][C]0.754969496518284[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.145115051408433[/C][/ROW]
[ROW][C]p-value[/C][C]0.893821238984468[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165003&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165003&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)
alpha139.417345247611
beta0.10955743729905
S.D.0.754969496518284
T-STAT0.145115051408433
p-value0.893821238984468






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-4.02381028904619
beta1.27639270109061
S.D.3.58383526900213
T-STAT0.356152726139673
p-value0.745300136260778
Lambda-0.276392701090614

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.02381028904619 \tabularnewline
beta & 1.27639270109061 \tabularnewline
S.D. & 3.58383526900213 \tabularnewline
T-STAT & 0.356152726139673 \tabularnewline
p-value & 0.745300136260778 \tabularnewline
Lambda & -0.276392701090614 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165003&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.02381028904619[/C][/ROW]
[ROW][C]beta[/C][C]1.27639270109061[/C][/ROW]
[ROW][C]S.D.[/C][C]3.58383526900213[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.356152726139673[/C][/ROW]
[ROW][C]p-value[/C][C]0.745300136260778[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.276392701090614[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165003&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165003&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-4.02381028904619
beta1.27639270109061
S.D.3.58383526900213
T-STAT0.356152726139673
p-value0.745300136260778
Lambda-0.276392701090614


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')