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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 computationWed, 02 May 2012 06:38:45 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/May/02/t1335955184izuevro9zr30l3a.htm/, Retrieved Tue, 07 May 2024 13:34:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=165894, Retrieved Tue, 07 May 2024 13:34:49 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact122

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] [Spreidingsmaten g...] [2012-05-02 10:38:45] [08ac479f43b71ff391b5d339ed1ce3ff] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
73.97	
73.97	
73.97	
73.97	
73.97	
73.97	
73.96	
74.44	
75.43	
75.77	
75.82	
75.85	
75.85	
75.85	
77.95	
82.07	
84.82	
85.08	
85.34	
85.65	
85.65	
85.72	
85.73	
85.73	
85.73	
85.73	
85.74	
86.32	
87.59	
87.81	
87.87	
87.94	
87.96	
88.01	
88.01	
88.01	
88.01	
88.01	
88.59	
89.43	
89.63	
89.73	
89.88	
89.89	
89.90	
89.91	
89.86	
90.07	
90.17	
90.17	
90.28	
90.87	
92.05	
92.10	
92.16	
92.22	
92.25	
92.29	
92.29	
92.29

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=165894&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=165894&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165894&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
174.59083333333330.8487580052730881.89
282.95333333333334.02322650557389.88000000000001
387.22666666666671.012910597628382.28
489.40916666666670.7581731432539082.05999999999999
591.5950.9227478725868922.12

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 74.5908333333333 & 0.848758005273088 & 1.89 \tabularnewline
2 & 82.9533333333333 & 4.0232265055738 & 9.88000000000001 \tabularnewline
3 & 87.2266666666667 & 1.01291059762838 & 2.28 \tabularnewline
4 & 89.4091666666667 & 0.758173143253908 & 2.05999999999999 \tabularnewline
5 & 91.595 & 0.922747872586892 & 2.12 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165894&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]74.5908333333333[/C][C]0.848758005273088[/C][C]1.89[/C][/ROW]
[ROW][C]2[/C][C]82.9533333333333[/C][C]4.0232265055738[/C][C]9.88000000000001[/C][/ROW]
[ROW][C]3[/C][C]87.2266666666667[/C][C]1.01291059762838[/C][C]2.28[/C][/ROW]
[ROW][C]4[/C][C]89.4091666666667[/C][C]0.758173143253908[/C][C]2.05999999999999[/C][/ROW]
[ROW][C]5[/C][C]91.595[/C][C]0.922747872586892[/C][C]2.12[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165894&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165894&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
174.59083333333330.8487580052730881.89
282.95333333333334.02322650557389.88000000000001
387.22666666666671.012910597628382.28
489.40916666666670.7581731432539082.05999999999999
591.5950.9227478725868922.12






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha4.61023281078058
beta-0.0363697913911968
S.D.0.119093077397437
T-STAT-0.305389634611789
p-value0.780032703240073

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 4.61023281078058 \tabularnewline
beta & -0.0363697913911968 \tabularnewline
S.D. & 0.119093077397437 \tabularnewline
T-STAT & -0.305389634611789 \tabularnewline
p-value & 0.780032703240073 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165894&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]4.61023281078058[/C][/ROW]
[ROW][C]beta[/C][C]-0.0363697913911968[/C][/ROW]
[ROW][C]S.D.[/C][C]0.119093077397437[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.305389634611789[/C][/ROW]
[ROW][C]p-value[/C][C]0.780032703240073[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165894&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165894&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)
alpha4.61023281078058
beta-0.0363697913911968
S.D.0.119093077397437
T-STAT-0.305389634611789
p-value0.780032703240073






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha5.4641062368344
beta-1.19034444926277
S.D.4.83272048052585
T-STAT-0.246309393241225
p-value0.821334164394059
Lambda2.19034444926277

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 5.4641062368344 \tabularnewline
beta & -1.19034444926277 \tabularnewline
S.D. & 4.83272048052585 \tabularnewline
T-STAT & -0.246309393241225 \tabularnewline
p-value & 0.821334164394059 \tabularnewline
Lambda & 2.19034444926277 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=165894&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]5.4641062368344[/C][/ROW]
[ROW][C]beta[/C][C]-1.19034444926277[/C][/ROW]
[ROW][C]S.D.[/C][C]4.83272048052585[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.246309393241225[/C][/ROW]
[ROW][C]p-value[/C][C]0.821334164394059[/C][/ROW]
[ROW][C]Lambda[/C][C]2.19034444926277[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=165894&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=165894&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)
alpha5.4641062368344
beta-1.19034444926277
S.D.4.83272048052585
T-STAT-0.246309393241225
p-value0.821334164394059
Lambda2.19034444926277


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')