FreeStatistics.org

Free Statistics

of Irreproducible Research!

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, 20 Nov 2014 12:44:44 +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/2014/Nov/20/t1416487527gn8tpikoeusszme.htm/, Retrieved Sun, 19 May 2024 13:04:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=257056, Retrieved Sun, 19 May 2024 13:04:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact68

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] [Opgave 9 - Oefeni...] [2014-11-20 12:44:44] [115da6a797a228c0404960d99697d46c] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
219
231
247
259
278
289
252
224
242
303
305
283
259
224
252
273
252
265
285
224
283
279
296
269
252
226
259
301
260
282
311
263
276
296
310
290
273
267
302
322
314
300
316
299
295
340
333
316
294
309
354
335
313
338
357
324
296
378
343
301
309
271
308
326
336
310
335
298
288
319
328
315

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' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257056&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257056&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257056&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' @ jenkins.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
126130.048445732002486
2263.41666666666722.697450130449572
3277.16666666666725.957424348110585
4306.41666666666721.815167089699773
5328.526.797218308826684
6311.91666666666719.298885193113365

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 261 & 30.0484457320024 & 86 \tabularnewline
2 & 263.416666666667 & 22.6974501304495 & 72 \tabularnewline
3 & 277.166666666667 & 25.9574243481105 & 85 \tabularnewline
4 & 306.416666666667 & 21.8151670896997 & 73 \tabularnewline
5 & 328.5 & 26.7972183088266 & 84 \tabularnewline
6 & 311.916666666667 & 19.2988851931133 & 65 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257056&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]261[/C][C]30.0484457320024[/C][C]86[/C][/ROW]
[ROW][C]2[/C][C]263.416666666667[/C][C]22.6974501304495[/C][C]72[/C][/ROW]
[ROW][C]3[/C][C]277.166666666667[/C][C]25.9574243481105[/C][C]85[/C][/ROW]
[ROW][C]4[/C][C]306.416666666667[/C][C]21.8151670896997[/C][C]73[/C][/ROW]
[ROW][C]5[/C][C]328.5[/C][C]26.7972183088266[/C][C]84[/C][/ROW]
[ROW][C]6[/C][C]311.916666666667[/C][C]19.2988851931133[/C][C]65[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257056&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257056&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
126130.048445732002486
2263.41666666666722.697450130449572
3277.16666666666725.957424348110585
4306.41666666666721.815167089699773
5328.526.797218308826684
6311.91666666666719.298885193113365






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha39.3127730115588
beta-0.0510530750300656
S.D.0.0644888534576022
T-STAT-0.791657353059164
p-value0.472860037423877

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 39.3127730115588 \tabularnewline
beta & -0.0510530750300656 \tabularnewline
S.D. & 0.0644888534576022 \tabularnewline
T-STAT & -0.791657353059164 \tabularnewline
p-value & 0.472860037423877 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257056&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]39.3127730115588[/C][/ROW]
[ROW][C]beta[/C][C]-0.0510530750300656[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0644888534576022[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.791657353059164[/C][/ROW]
[ROW][C]p-value[/C][C]0.472860037423877[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257056&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257056&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)
alpha39.3127730115588
beta-0.0510530750300656
S.D.0.0644888534576022
T-STAT-0.791657353059164
p-value0.472860037423877






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha6.77707229768791
beta-0.633354927362394
S.D.0.76985141785256
T-STAT-0.822697617585855
p-value0.456895900615541
Lambda1.63335492736239

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 6.77707229768791 \tabularnewline
beta & -0.633354927362394 \tabularnewline
S.D. & 0.76985141785256 \tabularnewline
T-STAT & -0.822697617585855 \tabularnewline
p-value & 0.456895900615541 \tabularnewline
Lambda & 1.63335492736239 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=257056&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.77707229768791[/C][/ROW]
[ROW][C]beta[/C][C]-0.633354927362394[/C][/ROW]
[ROW][C]S.D.[/C][C]0.76985141785256[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.822697617585855[/C][/ROW]
[ROW][C]p-value[/C][C]0.456895900615541[/C][/ROW]
[ROW][C]Lambda[/C][C]1.63335492736239[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=257056&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=257056&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)
alpha6.77707229768791
beta-0.633354927362394
S.D.0.76985141785256
T-STAT-0.822697617585855
p-value0.456895900615541
Lambda1.63335492736239


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')