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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationMon, 08 Dec 2008 13:04:32 -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/2008/Dec/08/t1228766865w1w62iflz1mjdhj.htm/, Retrieved Thu, 16 May 2024 14:12:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=30904, Retrieved Thu, 16 May 2024 14:12:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact171

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]
F RMPD    [Standard Deviation-Mean Plot] [W8Q1(2)] [2008-12-08 20:04:32] [d41d8cd98f00b204e9800998ecf8427e] [Current]
F RM D      [Variance Reduction Matrix] [W8Q2(2)] [2008-12-09 10:07:08] [74be16979710d4c4e7c6647856088456]
- RMP       [Notched Boxplots] [W8Q2(2)] [2008-12-09 10:11:36] [fefc9cefce013a6daab207c2a2eec05e]
- RMPD      [(Partial) Autocorrelation Function] [W8Q2(2)] [2008-12-09 10:18:02] [fefc9cefce013a6daab207c2a2eec05e]
-   P         [(Partial) Autocorrelation Function] [W8Q2(2)] [2008-12-09 16:24:23] [74be16979710d4c4e7c6647856088456]
- RMP         [ARIMA Backward Selection] [W8Q5(2)] [2008-12-09 16:30:04] [74be16979710d4c4e7c6647856088456]
- RMPD      [Spectral Analysis] [W8q2(2)] [2008-12-09 10:22:08] [fefc9cefce013a6daab207c2a2eec05e]
- RMPD      [Spectral Analysis] [W8Q2(2)] [2008-12-09 10:23:55] [fefc9cefce013a6daab207c2a2eec05e]
Feedback Forum
2008-12-15 10:07:44 [Toon Wouters] [reply] 
De p-waarde van de regressie rechte is gelijk aan 0.06... dit wil wel zeggen dat deze boven de 5% ligt waardoor je de berekende lambda niet mag gebruiken voor de transformatie.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
104,9
110,9
104,8
94,1
95,8
99,3
101,1
104
99
105,4
107,1
110,7
117,1
118,7
126,5
127,5
134,6
131,8
135,9
142,7
141,7
153,4
145
137,7
148,3
152,2
169,4
168,6
161,1
174,1
179
190,6
190
181,6
174,8
180,5
196,8
193,8
197
216,3
221,4
217,9
229,7
227,4
204,2
196,6
198,8
207,5
190,7
201,6
210,5
223,5
223,8
231,2
244
234,7
250,2
265,7
287,6
283,3
295,4
312,3
333,8
347,7
383,2
407,1
413,6
362,7
321,9
239,4

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'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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30904&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30904&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30904&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'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1103.0916666666675.3629127657769516.8
2134.38333333333310.750377019463436.3
3172.51666666666713.427504562943942.3
4208.9513.004369894909835.9
5237.23333333333330.518022494416396.9

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 103.091666666667 & 5.36291276577695 & 16.8 \tabularnewline
2 & 134.383333333333 & 10.7503770194634 & 36.3 \tabularnewline
3 & 172.516666666667 & 13.4275045629439 & 42.3 \tabularnewline
4 & 208.95 & 13.0043698949098 & 35.9 \tabularnewline
5 & 237.233333333333 & 30.5180224944163 & 96.9 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30904&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]103.091666666667[/C][C]5.36291276577695[/C][C]16.8[/C][/ROW]
[ROW][C]2[/C][C]134.383333333333[/C][C]10.7503770194634[/C][C]36.3[/C][/ROW]
[ROW][C]3[/C][C]172.516666666667[/C][C]13.4275045629439[/C][C]42.3[/C][/ROW]
[ROW][C]4[/C][C]208.95[/C][C]13.0043698949098[/C][C]35.9[/C][/ROW]
[ROW][C]5[/C][C]237.233333333333[/C][C]30.5180224944163[/C][C]96.9[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30904&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30904&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
1103.0916666666675.3629127657769516.8
2134.38333333333310.750377019463436.3
3172.51666666666713.427504562943942.3
4208.9513.004369894909835.9
5237.23333333333330.518022494416396.9






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-10.970603156932
beta0.149404271932923
S.D.0.0516987465499862
T-STAT2.88990124332062
p-value0.0630180893319383

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -10.970603156932 \tabularnewline
beta & 0.149404271932923 \tabularnewline
S.D. & 0.0516987465499862 \tabularnewline
T-STAT & 2.88990124332062 \tabularnewline
p-value & 0.0630180893319383 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30904&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-10.970603156932[/C][/ROW]
[ROW][C]beta[/C][C]0.149404271932923[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0516987465499862[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.88990124332062[/C][/ROW]
[ROW][C]p-value[/C][C]0.0630180893319383[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30904&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30904&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-10.970603156932
beta0.149404271932923
S.D.0.0516987465499862
T-STAT2.88990124332062
p-value0.0630180893319383






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-6.09704656937877
beta1.69113957605330
S.D.0.426841563271941
T-STAT3.96198430886138
p-value0.0287164556504279
Lambda-0.691139576053295

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -6.09704656937877 \tabularnewline
beta & 1.69113957605330 \tabularnewline
S.D. & 0.426841563271941 \tabularnewline
T-STAT & 3.96198430886138 \tabularnewline
p-value & 0.0287164556504279 \tabularnewline
Lambda & -0.691139576053295 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30904&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-6.09704656937877[/C][/ROW]
[ROW][C]beta[/C][C]1.69113957605330[/C][/ROW]
[ROW][C]S.D.[/C][C]0.426841563271941[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.96198430886138[/C][/ROW]
[ROW][C]p-value[/C][C]0.0287164556504279[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.691139576053295[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30904&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30904&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-6.09704656937877
beta1.69113957605330
S.D.0.426841563271941
T-STAT3.96198430886138
p-value0.0287164556504279
Lambda-0.691139576053295


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')