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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationWed, 22 Dec 2010 17:43:26 +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/Dec/22/t129303998846shv8n2ahq8nj4.htm/, Retrieved Mon, 06 May 2024 01:43:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=114439, Retrieved Mon, 06 May 2024 01:43:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact136

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] [Statistiek Paper 12] [2010-12-22 17:43:26] [97dee3ad7274585c4a7ecb4c981cc7fb] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
5732
6938
6660
6695
6484
7716
5927
4768
7081
6947
7723
7319
6285
6655
7331
6468
7653
7330
5907
5257
7029
8885
9477
6822
8595
8738
11380
9831
10560
10336
8872
7598
9713
10858
10430
7516
8344
8623
9238
10350
9415
9550
8301
6405
10251
10082
8683
7829
6712
7354
8402
8211
8377
9133
8301
5932
9080
9459
9647
8646
7503
10000
10441
6435
8102
9983
8662
6575
9088
9336
9089

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114439&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114439&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114439&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
16665.83333333333854.1987030208042955
27091.583333333331183.656542501274220
39535.583333333331263.242901736593864
48922.583333333331139.557127558643945
58271.166666666671112.656839472193715

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 6665.83333333333 & 854.198703020804 & 2955 \tabularnewline
2 & 7091.58333333333 & 1183.65654250127 & 4220 \tabularnewline
3 & 9535.58333333333 & 1263.24290173659 & 3864 \tabularnewline
4 & 8922.58333333333 & 1139.55712755864 & 3945 \tabularnewline
5 & 8271.16666666667 & 1112.65683947219 & 3715 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114439&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]6665.83333333333[/C][C]854.198703020804[/C][C]2955[/C][/ROW]
[ROW][C]2[/C][C]7091.58333333333[/C][C]1183.65654250127[/C][C]4220[/C][/ROW]
[ROW][C]3[/C][C]9535.58333333333[/C][C]1263.24290173659[/C][C]3864[/C][/ROW]
[ROW][C]4[/C][C]8922.58333333333[/C][C]1139.55712755864[/C][C]3945[/C][/ROW]
[ROW][C]5[/C][C]8271.16666666667[/C][C]1112.65683947219[/C][C]3715[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114439&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114439&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
16665.83333333333854.1987030208042955
27091.583333333331183.656542501274220
39535.583333333331263.242901736593864
48922.583333333331139.557127558643945
58271.166666666671112.656839472193715






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha365.671757801933
beta0.0920042563376865
S.D.0.0511166758758685
T-STAT1.79988731194315
p-value0.169699077144967

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 365.671757801933 \tabularnewline
beta & 0.0920042563376865 \tabularnewline
S.D. & 0.0511166758758685 \tabularnewline
T-STAT & 1.79988731194315 \tabularnewline
p-value & 0.169699077144967 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114439&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]365.671757801933[/C][/ROW]
[ROW][C]beta[/C][C]0.0920042563376865[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0511166758758685[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.79988731194315[/C][/ROW]
[ROW][C]p-value[/C][C]0.169699077144967[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114439&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114439&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)
alpha365.671757801933
beta0.0920042563376865
S.D.0.0511166758758685
T-STAT1.79988731194315
p-value0.169699077144967






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha0.545561411720218
beta0.718404651500922
S.D.0.393508074657407
T-STAT1.82564144872091
p-value0.165386958379402
Lambda0.281595348499078

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 0.545561411720218 \tabularnewline
beta & 0.718404651500922 \tabularnewline
S.D. & 0.393508074657407 \tabularnewline
T-STAT & 1.82564144872091 \tabularnewline
p-value & 0.165386958379402 \tabularnewline
Lambda & 0.281595348499078 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114439&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.545561411720218[/C][/ROW]
[ROW][C]beta[/C][C]0.718404651500922[/C][/ROW]
[ROW][C]S.D.[/C][C]0.393508074657407[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.82564144872091[/C][/ROW]
[ROW][C]p-value[/C][C]0.165386958379402[/C][/ROW]
[ROW][C]Lambda[/C][C]0.281595348499078[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114439&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114439&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)
alpha0.545561411720218
beta0.718404651500922
S.D.0.393508074657407
T-STAT1.82564144872091
p-value0.165386958379402
Lambda0.281595348499078


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')