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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, 05 Jan 2010 11:06:53 -0700
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/Jan/05/t126271485223kewhcb9qd8w2a.htm/, Retrieved Sat, 27 Apr 2024 05:40:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=71619, Retrieved Sat, 27 Apr 2024 05:40:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact173

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] [] [2010-01-05 18:06:53] [2a9ec9c0b57e4896ade7900b00318ff3] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
5789
6333
6901
5813
6504
5619
5867
6084
5258
5601
5081
4678
5463
5546
6810
6407
5985
5119
5904
5034
4922
6083
4365
4464
4557
5885
5286
6017
5376
5935
6276
5510
5998
5193
4602
5326
5307
5014
6153
6441
5584
6427
6062
5589
6216
5809
4989
6706
7174
6122
8075
6292
6337
8576
6077
5931
6288
7167
6054
6468
6403
6927
7914
7728
8701
8522
6481
7502
7778
7424
6941
8574
9171
7718
9083
7164
8213
8124
7075
7026
7390
7778
6203
6905
7087
6495
7664
6516
6322
7828
6708
6717
5707
8063
6315
5893
6914
7319
6615
7341
6210
7408
6168
5878
6834
6211
5982
6973

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' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71619&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71619&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71619&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' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
15794619.3016594960372223
25508.5759.0435967835982445
35496.75550.722026071231719
45858.08333333333568.9300098084181717
56713.41666666667858.2909507041342645
67574.58333333333784.0821453177342298
77654.16666666667884.3079300512442968
86776.25747.3644754006642356
96654.41666666667553.4463032725581530

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 5794 & 619.301659496037 & 2223 \tabularnewline
2 & 5508.5 & 759.043596783598 & 2445 \tabularnewline
3 & 5496.75 & 550.72202607123 & 1719 \tabularnewline
4 & 5858.08333333333 & 568.930009808418 & 1717 \tabularnewline
5 & 6713.41666666667 & 858.290950704134 & 2645 \tabularnewline
6 & 7574.58333333333 & 784.082145317734 & 2298 \tabularnewline
7 & 7654.16666666667 & 884.307930051244 & 2968 \tabularnewline
8 & 6776.25 & 747.364475400664 & 2356 \tabularnewline
9 & 6654.41666666667 & 553.446303272558 & 1530 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71619&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]5794[/C][C]619.301659496037[/C][C]2223[/C][/ROW]
[ROW][C]2[/C][C]5508.5[/C][C]759.043596783598[/C][C]2445[/C][/ROW]
[ROW][C]3[/C][C]5496.75[/C][C]550.72202607123[/C][C]1719[/C][/ROW]
[ROW][C]4[/C][C]5858.08333333333[/C][C]568.930009808418[/C][C]1717[/C][/ROW]
[ROW][C]5[/C][C]6713.41666666667[/C][C]858.290950704134[/C][C]2645[/C][/ROW]
[ROW][C]6[/C][C]7574.58333333333[/C][C]784.082145317734[/C][C]2298[/C][/ROW]
[ROW][C]7[/C][C]7654.16666666667[/C][C]884.307930051244[/C][C]2968[/C][/ROW]
[ROW][C]8[/C][C]6776.25[/C][C]747.364475400664[/C][C]2356[/C][/ROW]
[ROW][C]9[/C][C]6654.41666666667[/C][C]553.446303272558[/C][C]1530[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71619&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71619&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
15794619.3016594960372223
25508.5759.0435967835982445
35496.75550.722026071231719
45858.08333333333568.9300098084181717
56713.41666666667858.2909507041342645
67574.58333333333784.0821453177342298
77654.16666666667884.3079300512442968
86776.25747.3644754006642356
96654.41666666667553.4463032725581530






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha46.154415782592
beta0.101845293480040
S.D.0.0461373447306676
T-STAT2.20743725228606
p-value0.0630352223534461

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 46.154415782592 \tabularnewline
beta & 0.101845293480040 \tabularnewline
S.D. & 0.0461373447306676 \tabularnewline
T-STAT & 2.20743725228606 \tabularnewline
p-value & 0.0630352223534461 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71619&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]46.154415782592[/C][/ROW]
[ROW][C]beta[/C][C]0.101845293480040[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0461373447306676[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.20743725228606[/C][/ROW]
[ROW][C]p-value[/C][C]0.0630352223534461[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71619&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71619&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)
alpha46.154415782592
beta0.101845293480040
S.D.0.0461373447306676
T-STAT2.20743725228606
p-value0.0630352223534461






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-1.50824968106898
beta0.91821664930955
S.D.0.442052908396096
T-STAT2.07716459244917
p-value0.076404310714097
Lambda0.0817833506904505

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.50824968106898 \tabularnewline
beta & 0.91821664930955 \tabularnewline
S.D. & 0.442052908396096 \tabularnewline
T-STAT & 2.07716459244917 \tabularnewline
p-value & 0.076404310714097 \tabularnewline
Lambda & 0.0817833506904505 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=71619&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.50824968106898[/C][/ROW]
[ROW][C]beta[/C][C]0.91821664930955[/C][/ROW]
[ROW][C]S.D.[/C][C]0.442052908396096[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.07716459244917[/C][/ROW]
[ROW][C]p-value[/C][C]0.076404310714097[/C][/ROW]
[ROW][C]Lambda[/C][C]0.0817833506904505[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=71619&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=71619&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)
alpha-1.50824968106898
beta0.91821664930955
S.D.0.442052908396096
T-STAT2.07716459244917
p-value0.076404310714097
Lambda0.0817833506904505


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')