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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 computationTue, 10 Mar 2015 12:42:59 +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/2015/Mar/10/t1425991395njoqekzxrxfgkya.htm/, Retrieved Sun, 19 May 2024 10:21:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=278123, Retrieved Sun, 19 May 2024 10:21:34 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact167

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] [] [2015-03-10 12:42:59] [a916b42d6b56a629542ed1ac6e46ec84] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
13671
15698
18150
16245
18479
18479
18819
18059
17004
16981
16578
21604
13419
14487
17349
15646
17419
17358
18221
19554
14386
16833
18067
19662
12192
15081
13698
18474
13871
15669
17597
15469
15374
16568
11619
16780
8700
8906
9612
10073
10275
9921
13237
9572
10425
11385
9970
15456
7708
8892
11145
11069
9893
10929
12240
10411
9747
9950
10079
14064
8368
9558
10432
10068
9915
9549
10433
10009
10327
9453
9494
13133
7082
7805
9064
8236
10182
16210
7451
8384
7143
8507
9833
17364
6260
7897
8933
6554
8333
7224
9659
9977
9289
9929
10576
15463

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'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278123&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278123&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278123&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'Gertrude Mary Cox' @ cox.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
117480.58333333331955.850127105087933
216866.752006.441450791566243
315199.33333333332068.445456390046855
410627.66666666671928.872225059526756
510510.58333333331608.393521404816356
610061.58333333331123.330474998614765
79771.753425.1652680763210282
89174.52422.147675852239203

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 17480.5833333333 & 1955.85012710508 & 7933 \tabularnewline
2 & 16866.75 & 2006.44145079156 & 6243 \tabularnewline
3 & 15199.3333333333 & 2068.44545639004 & 6855 \tabularnewline
4 & 10627.6666666667 & 1928.87222505952 & 6756 \tabularnewline
5 & 10510.5833333333 & 1608.39352140481 & 6356 \tabularnewline
6 & 10061.5833333333 & 1123.33047499861 & 4765 \tabularnewline
7 & 9771.75 & 3425.16526807632 & 10282 \tabularnewline
8 & 9174.5 & 2422.14767585223 & 9203 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278123&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]17480.5833333333[/C][C]1955.85012710508[/C][C]7933[/C][/ROW]
[ROW][C]2[/C][C]16866.75[/C][C]2006.44145079156[/C][C]6243[/C][/ROW]
[ROW][C]3[/C][C]15199.3333333333[/C][C]2068.44545639004[/C][C]6855[/C][/ROW]
[ROW][C]4[/C][C]10627.6666666667[/C][C]1928.87222505952[/C][C]6756[/C][/ROW]
[ROW][C]5[/C][C]10510.5833333333[/C][C]1608.39352140481[/C][C]6356[/C][/ROW]
[ROW][C]6[/C][C]10061.5833333333[/C][C]1123.33047499861[/C][C]4765[/C][/ROW]
[ROW][C]7[/C][C]9771.75[/C][C]3425.16526807632[/C][C]10282[/C][/ROW]
[ROW][C]8[/C][C]9174.5[/C][C]2422.14767585223[/C][C]9203[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278123&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278123&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
117480.58333333331955.850127105087933
216866.752006.441450791566243
315199.33333333332068.445456390046855
410627.66666666671928.872225059526756
510510.58333333331608.393521404816356
610061.58333333331123.330474998614765
79771.753425.1652680763210282
89174.52422.147675852239203






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha2401.66419691719
beta-0.0268291061853479
S.D.0.0781905772164696
T-STAT-0.343124544420127
p-value0.743207493980636

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 2401.66419691719 \tabularnewline
beta & -0.0268291061853479 \tabularnewline
S.D. & 0.0781905772164696 \tabularnewline
T-STAT & -0.343124544420127 \tabularnewline
p-value & 0.743207493980636 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278123&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2401.66419691719[/C][/ROW]
[ROW][C]beta[/C][C]-0.0268291061853479[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0781905772164696[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.343124544420127[/C][/ROW]
[ROW][C]p-value[/C][C]0.743207493980636[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278123&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278123&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)
alpha2401.66419691719
beta-0.0268291061853479
S.D.0.0781905772164696
T-STAT-0.343124544420127
p-value0.743207493980636






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha8.08504750977485
beta-0.0526674774028405
S.D.0.490087800168567
T-STAT-0.107465391680277
p-value0.917923192221089
Lambda1.05266747740284

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 8.08504750977485 \tabularnewline
beta & -0.0526674774028405 \tabularnewline
S.D. & 0.490087800168567 \tabularnewline
T-STAT & -0.107465391680277 \tabularnewline
p-value & 0.917923192221089 \tabularnewline
Lambda & 1.05266747740284 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278123&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]8.08504750977485[/C][/ROW]
[ROW][C]beta[/C][C]-0.0526674774028405[/C][/ROW]
[ROW][C]S.D.[/C][C]0.490087800168567[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.107465391680277[/C][/ROW]
[ROW][C]p-value[/C][C]0.917923192221089[/C][/ROW]
[ROW][C]Lambda[/C][C]1.05266747740284[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278123&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278123&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)
alpha8.08504750977485
beta-0.0526674774028405
S.D.0.490087800168567
T-STAT-0.107465391680277
p-value0.917923192221089
Lambda1.05266747740284


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')