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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 computationFri, 29 Nov 2013 07:03:53 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Nov/29/t1385726653fxqpu8uy8byq1op.htm/, Retrieved Sun, 05 May 2024 21:35:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=229500, Retrieved Sun, 05 May 2024 21:35:18 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact112

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] [] [2013-11-29 12:03:53] [3050d341fa02a6066b7b273abfa2c28b] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
9969
9692
8943
8802
8250
8515
13973
13905
12467
9490
8483
7610
7839
7107
6584
6053
5725
6480
11663
11628
9203
7781
7020
6908
6912
6668
6189
6007
5148
6685
11044
11034
8986
8146
7818
8176
8935
8929
8835
8455
7924
8973
13575
13844
11738
10467
10145
10833
10179
10107
9533
9165
8382
9018
13911
13761
11316
9855
9034
8932
9278
8876
8298
7733
7226
7688
12226
12081
10439
9008
8377
8346
9167
8945
8428
7973
7446
7785
10561
12791
11583
10112
9597
9332

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'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 & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=229500&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=229500&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=229500&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'Gertrude Mary Cox' @ cox.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
110008.252201.415211135376363
27832.583333333331999.929701416045938
37734.416666666671877.017869742685896
410221.08333333331961.309741350195920
510266.08333333331833.009222728045529
69131.333333333331641.464386861115000
79476.666666666671588.621548463455345

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 10008.25 & 2201.41521113537 & 6363 \tabularnewline
2 & 7832.58333333333 & 1999.92970141604 & 5938 \tabularnewline
3 & 7734.41666666667 & 1877.01786974268 & 5896 \tabularnewline
4 & 10221.0833333333 & 1961.30974135019 & 5920 \tabularnewline
5 & 10266.0833333333 & 1833.00922272804 & 5529 \tabularnewline
6 & 9131.33333333333 & 1641.46438686111 & 5000 \tabularnewline
7 & 9476.66666666667 & 1588.62154846345 & 5345 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=229500&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]10008.25[/C][C]2201.41521113537[/C][C]6363[/C][/ROW]
[ROW][C]2[/C][C]7832.58333333333[/C][C]1999.92970141604[/C][C]5938[/C][/ROW]
[ROW][C]3[/C][C]7734.41666666667[/C][C]1877.01786974268[/C][C]5896[/C][/ROW]
[ROW][C]4[/C][C]10221.0833333333[/C][C]1961.30974135019[/C][C]5920[/C][/ROW]
[ROW][C]5[/C][C]10266.0833333333[/C][C]1833.00922272804[/C][C]5529[/C][/ROW]
[ROW][C]6[/C][C]9131.33333333333[/C][C]1641.46438686111[/C][C]5000[/C][/ROW]
[ROW][C]7[/C][C]9476.66666666667[/C][C]1588.62154846345[/C][C]5345[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=229500&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=229500&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
110008.252201.415211135376363
27832.583333333331999.929701416045938
37734.416666666671877.017869742685896
410221.08333333331961.309741350195920
510266.08333333331833.009222728045529
69131.333333333331641.464386861115000
79476.666666666671588.621548463455345






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha1776.96244559528
beta0.0102679184201421
S.D.0.0878589304430202
T-STAT0.116868238303916
p-value0.911513650410331

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1776.96244559528 \tabularnewline
beta & 0.0102679184201421 \tabularnewline
S.D. & 0.0878589304430202 \tabularnewline
T-STAT & 0.116868238303916 \tabularnewline
p-value & 0.911513650410331 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=229500&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1776.96244559528[/C][/ROW]
[ROW][C]beta[/C][C]0.0102679184201421[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0878589304430202[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.116868238303916[/C][/ROW]
[ROW][C]p-value[/C][C]0.911513650410331[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=229500&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=229500&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)
alpha1776.96244559528
beta0.0102679184201421
S.D.0.0878589304430202
T-STAT0.116868238303916
p-value0.911513650410331






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha7.40423614847396
beta0.0136915942919777
S.D.0.421148741839894
T-STAT0.032510115623669
p-value0.97532310126464
Lambda0.986308405708022

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 7.40423614847396 \tabularnewline
beta & 0.0136915942919777 \tabularnewline
S.D. & 0.421148741839894 \tabularnewline
T-STAT & 0.032510115623669 \tabularnewline
p-value & 0.97532310126464 \tabularnewline
Lambda & 0.986308405708022 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=229500&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]7.40423614847396[/C][/ROW]
[ROW][C]beta[/C][C]0.0136915942919777[/C][/ROW]
[ROW][C]S.D.[/C][C]0.421148741839894[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.032510115623669[/C][/ROW]
[ROW][C]p-value[/C][C]0.97532310126464[/C][/ROW]
[ROW][C]Lambda[/C][C]0.986308405708022[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=229500&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=229500&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)
alpha7.40423614847396
beta0.0136915942919777
S.D.0.421148741839894
T-STAT0.032510115623669
p-value0.97532310126464
Lambda0.986308405708022


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')