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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 computationThu, 03 Dec 2009 10:40:44 -0700
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/Dec/03/t1259862185dcbv2l4y8mziqt2.htm/, Retrieved Fri, 19 Apr 2024 03:00:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=62972, Retrieved Fri, 19 Apr 2024 03:00:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordstijdreeks= aantal bouwvergunningen
Estimated Impact152

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] [] [2009-11-27 14:40:44] [b98453cac15ba1066b407e146608df68]
-    D      [Standard Deviation-Mean Plot] [heteroscedasticit...] [2009-12-03 17:40:44] [03368d751914a6c247d86aff8eac7cbf] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1954
1828
2251
2277
2085
2282
2266
1878
2267
2069
1746
2299
2360
2214
2825
2355
2333
3016
2155
2172
2150
2533
2058
2160
2260
2498
2695
2799
2947
2930
2318
2540
2570
2669
2450
2842
3440
2678
2981
2260
2844
2546
2456
2295
2379
2479
2057
2280
2351
2276
2548
2311
2201
2725
2408
2139
1898
2537
2069
2063
2524

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=62972&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=62972&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62972&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
12100.16666666667203.019404954006553
22360.91666666667294.065997024581958
32626.5226.707861675449687
42557.91666666667379.9685293985981383
52293.83333333333237.3451010021827

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2100.16666666667 & 203.019404954006 & 553 \tabularnewline
2 & 2360.91666666667 & 294.065997024581 & 958 \tabularnewline
3 & 2626.5 & 226.707861675449 & 687 \tabularnewline
4 & 2557.91666666667 & 379.968529398598 & 1383 \tabularnewline
5 & 2293.83333333333 & 237.3451010021 & 827 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62972&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]2100.16666666667[/C][C]203.019404954006[/C][C]553[/C][/ROW]
[ROW][C]2[/C][C]2360.91666666667[/C][C]294.065997024581[/C][C]958[/C][/ROW]
[ROW][C]3[/C][C]2626.5[/C][C]226.707861675449[/C][C]687[/C][/ROW]
[ROW][C]4[/C][C]2557.91666666667[/C][C]379.968529398598[/C][C]1383[/C][/ROW]
[ROW][C]5[/C][C]2293.83333333333[/C][C]237.3451010021[/C][C]827[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62972&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62972&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
12100.16666666667203.019404954006553
22360.91666666667294.065997024581958
32626.5226.707861675449687
42557.91666666667379.9685293985981383
52293.83333333333237.3451010021827






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-134.595488485323
beta0.168693199213916
S.D.0.167573115201356
T-STAT1.00668415104186
p-value0.388247571482403

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -134.595488485323 \tabularnewline
beta & 0.168693199213916 \tabularnewline
S.D. & 0.167573115201356 \tabularnewline
T-STAT & 1.00668415104186 \tabularnewline
p-value & 0.388247571482403 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62972&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-134.595488485323[/C][/ROW]
[ROW][C]beta[/C][C]0.168693199213916[/C][/ROW]
[ROW][C]S.D.[/C][C]0.167573115201356[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.00668415104186[/C][/ROW]
[ROW][C]p-value[/C][C]0.388247571482403[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62972&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62972&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)
alpha-134.595488485323
beta0.168693199213916
S.D.0.167573115201356
T-STAT1.00668415104186
p-value0.388247571482403






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-5.8992203591985
beta1.47463928418488
S.D.1.36095888749964
T-STAT1.0835296332089
p-value0.357884260238823
Lambda-0.47463928418488

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -5.8992203591985 \tabularnewline
beta & 1.47463928418488 \tabularnewline
S.D. & 1.36095888749964 \tabularnewline
T-STAT & 1.0835296332089 \tabularnewline
p-value & 0.357884260238823 \tabularnewline
Lambda & -0.47463928418488 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62972&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-5.8992203591985[/C][/ROW]
[ROW][C]beta[/C][C]1.47463928418488[/C][/ROW]
[ROW][C]S.D.[/C][C]1.36095888749964[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.0835296332089[/C][/ROW]
[ROW][C]p-value[/C][C]0.357884260238823[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.47463928418488[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62972&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62972&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-5.8992203591985
beta1.47463928418488
S.D.1.36095888749964
T-STAT1.0835296332089
p-value0.357884260238823
Lambda-0.47463928418488


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')