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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 computationThu, 08 Jul 2010 15:22:28 +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/2010/Jul/08/t12786025400exg3tovwbyi77r.htm/, Retrieved Wed, 08 May 2024 05:02:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=77970, Retrieved Wed, 08 May 2024 05:02:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact209

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] [Kelly Janbroers -...] [2010-07-08 15:22:28] [413e0fefcf22560c5655fbc122c1a3c2] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
268
267
266
264
262
261
262
264
265
265
266
268
260
264
265
262
258
265
273
273
270
263
260
257
248
248
237
228
225
231
243
250
246
240
236
235
225
230
225
221
231
234
249
257
253
252
245
239
229
232
222
218
223
221
230
234
237
226
215
211
203
202
187
179
181
172
182
180
175
163
160
151
145
140
125
122
124
108
115
116
104
98
101
91

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=77970&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=77970&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77970&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
1264.8333333333332.329000305762637
2264.1666666666675.4076264888048816
3238.9166666666678.3061678433814625
4238.41666666666712.456895376627536
5224.8333333333337.9181418083392326
6177.91666666666715.477011300243952
7115.7516.460006627635954

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 264.833333333333 & 2.32900030576263 & 7 \tabularnewline
2 & 264.166666666667 & 5.40762648880488 & 16 \tabularnewline
3 & 238.916666666667 & 8.30616784338146 & 25 \tabularnewline
4 & 238.416666666667 & 12.4568953766275 & 36 \tabularnewline
5 & 224.833333333333 & 7.91814180833923 & 26 \tabularnewline
6 & 177.916666666667 & 15.4770113002439 & 52 \tabularnewline
7 & 115.75 & 16.4600066276359 & 54 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77970&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]264.833333333333[/C][C]2.32900030576263[/C][C]7[/C][/ROW]
[ROW][C]2[/C][C]264.166666666667[/C][C]5.40762648880488[/C][C]16[/C][/ROW]
[ROW][C]3[/C][C]238.916666666667[/C][C]8.30616784338146[/C][C]25[/C][/ROW]
[ROW][C]4[/C][C]238.416666666667[/C][C]12.4568953766275[/C][C]36[/C][/ROW]
[ROW][C]5[/C][C]224.833333333333[/C][C]7.91814180833923[/C][C]26[/C][/ROW]
[ROW][C]6[/C][C]177.916666666667[/C][C]15.4770113002439[/C][C]52[/C][/ROW]
[ROW][C]7[/C][C]115.75[/C][C]16.4600066276359[/C][C]54[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77970&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77970&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
1264.8333333333332.329000305762637
2264.1666666666675.4076264888048816
3238.9166666666678.3061678433814625
4238.41666666666712.456895376627536
5224.8333333333337.9181418083392326
6177.91666666666715.477011300243952
7115.7516.460006627635954






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha28.0501241739767
beta-0.0839409899226418
S.D.0.0222284028979077
T-STAT-3.77629424426813
p-value0.0129390075810928

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 28.0501241739767 \tabularnewline
beta & -0.0839409899226418 \tabularnewline
S.D. & 0.0222284028979077 \tabularnewline
T-STAT & -3.77629424426813 \tabularnewline
p-value & 0.0129390075810928 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77970&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]28.0501241739767[/C][/ROW]
[ROW][C]beta[/C][C]-0.0839409899226418[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0222284028979077[/C][/ROW]
[ROW][C]T-STAT[/C][C]-3.77629424426813[/C][/ROW]
[ROW][C]p-value[/C][C]0.0129390075810928[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77970&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77970&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)
alpha28.0501241739767
beta-0.0839409899226418
S.D.0.0222284028979077
T-STAT-3.77629424426813
p-value0.0129390075810928






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha10.8147633894616
beta-1.62656861990045
S.D.0.737433444775166
T-STAT-2.20571582618736
p-value0.0785267404625789
Lambda2.62656861990045

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 10.8147633894616 \tabularnewline
beta & -1.62656861990045 \tabularnewline
S.D. & 0.737433444775166 \tabularnewline
T-STAT & -2.20571582618736 \tabularnewline
p-value & 0.0785267404625789 \tabularnewline
Lambda & 2.62656861990045 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77970&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]10.8147633894616[/C][/ROW]
[ROW][C]beta[/C][C]-1.62656861990045[/C][/ROW]
[ROW][C]S.D.[/C][C]0.737433444775166[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.20571582618736[/C][/ROW]
[ROW][C]p-value[/C][C]0.0785267404625789[/C][/ROW]
[ROW][C]Lambda[/C][C]2.62656861990045[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77970&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77970&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)
alpha10.8147633894616
beta-1.62656861990045
S.D.0.737433444775166
T-STAT-2.20571582618736
p-value0.0785267404625789
Lambda2.62656861990045


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')