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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, 15 Aug 2017 23:30:37 +0200
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Aug/15/t1502832677eicos60jvsi8twc.htm/, Retrieved Mon, 20 May 2024 01:26:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=307338, Retrieved Mon, 20 May 2024 01:26:55 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact46

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] [] [2017-08-15 21:30:37] [1a8cec710a8245ea2c14b5d40c333c7c] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
70 200
67 600
71 500
57 200
74 100
72 800
78 000
80 600
89 700
78 000
74 100
92 300
78 000
58 500
68 900
52 000
72 800
59 800
79 300
71 500
75 400
84 500
83 200
98 800
71 500
59 800
66 300
48 100
68 900
53 300
75 400
71 500
63 700
91 000
81 900
93 600
70 200
65 000
58 500
48 100
63 700
57 200
78 000
75 400
65 000
87 100
80 600
104 000
83 200
50 700
50 700
50 700
59 800
59 800
80 600
74 100
66 300
83 200
76 700
110 500
87 100
50 700
53 300
44 200
61 100
70 200
88 400
87 100
70 200
81 900
72 800
104 000
79 300
63 700
57 200
42 900
63 700
76 700
89 700
84 500
62 400
89 700
70 200
107 900
89 700
65 000
59 800
40 300
63 700
61 100
92 300
92 300
70 200
91 000
67 600
105 300
89 700
66 300
50 700
35 100
68 900
66 300
87 100
100 100
74 100
83 200
62 400
107 900

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307338&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=307338&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307338&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
175508.33333333339414.6364129412235100
273558.333333333312838.964722730446800
370416.666666666713778.3646828445500
471066.666666666715092.763668444455900
57052517834.396031774759800
672583.333333333317952.099564894359800
773991.666666666717576.971418376565000
874858.333333333318883.251758362465000
974316.666666666720598.359746407672800

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 75508.3333333333 & 9414.63641294122 & 35100 \tabularnewline
2 & 73558.3333333333 & 12838.9647227304 & 46800 \tabularnewline
3 & 70416.6666666667 & 13778.36468284 & 45500 \tabularnewline
4 & 71066.6666666667 & 15092.7636684444 & 55900 \tabularnewline
5 & 70525 & 17834.3960317747 & 59800 \tabularnewline
6 & 72583.3333333333 & 17952.0995648943 & 59800 \tabularnewline
7 & 73991.6666666667 & 17576.9714183765 & 65000 \tabularnewline
8 & 74858.3333333333 & 18883.2517583624 & 65000 \tabularnewline
9 & 74316.6666666667 & 20598.3597464076 & 72800 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307338&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]75508.3333333333[/C][C]9414.63641294122[/C][C]35100[/C][/ROW]
[ROW][C]2[/C][C]73558.3333333333[/C][C]12838.9647227304[/C][C]46800[/C][/ROW]
[ROW][C]3[/C][C]70416.6666666667[/C][C]13778.36468284[/C][C]45500[/C][/ROW]
[ROW][C]4[/C][C]71066.6666666667[/C][C]15092.7636684444[/C][C]55900[/C][/ROW]
[ROW][C]5[/C][C]70525[/C][C]17834.3960317747[/C][C]59800[/C][/ROW]
[ROW][C]6[/C][C]72583.3333333333[/C][C]17952.0995648943[/C][C]59800[/C][/ROW]
[ROW][C]7[/C][C]73991.6666666667[/C][C]17576.9714183765[/C][C]65000[/C][/ROW]
[ROW][C]8[/C][C]74858.3333333333[/C][C]18883.2517583624[/C][C]65000[/C][/ROW]
[ROW][C]9[/C][C]74316.6666666667[/C][C]20598.3597464076[/C][C]72800[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307338&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307338&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
175508.33333333339414.6364129412235100
273558.333333333312838.964722730446800
370416.666666666713778.3646828445500
471066.666666666715092.763668444455900
57052517834.396031774759800
672583.333333333317952.099564894359800
773991.666666666717576.971418376565000
874858.333333333318883.251758362465000
974316.666666666720598.359746407672800






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha23838.2832066242
beta-0.107448317059865
S.D.0.68875700161761
T-STAT-0.156003230177715
p-value0.880434120508981

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 23838.2832066242 \tabularnewline
beta & -0.107448317059865 \tabularnewline
S.D. & 0.68875700161761 \tabularnewline
T-STAT & -0.156003230177715 \tabularnewline
p-value & 0.880434120508981 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307338&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]23838.2832066242[/C][/ROW]
[ROW][C]beta[/C][C]-0.107448317059865[/C][/ROW]
[ROW][C]S.D.[/C][C]0.68875700161761[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.156003230177715[/C][/ROW]
[ROW][C]p-value[/C][C]0.880434120508981[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307338&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307338&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)
alpha23838.2832066242
beta-0.107448317059865
S.D.0.68875700161761
T-STAT-0.156003230177715
p-value0.880434120508981






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha24.1715393522784
beta-1.2963355072811
S.D.3.45582772786274
T-STAT-0.375115778147546
p-value0.718681736243632
Lambda2.2963355072811

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 24.1715393522784 \tabularnewline
beta & -1.2963355072811 \tabularnewline
S.D. & 3.45582772786274 \tabularnewline
T-STAT & -0.375115778147546 \tabularnewline
p-value & 0.718681736243632 \tabularnewline
Lambda & 2.2963355072811 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307338&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]24.1715393522784[/C][/ROW]
[ROW][C]beta[/C][C]-1.2963355072811[/C][/ROW]
[ROW][C]S.D.[/C][C]3.45582772786274[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.375115778147546[/C][/ROW]
[ROW][C]p-value[/C][C]0.718681736243632[/C][/ROW]
[ROW][C]Lambda[/C][C]2.2963355072811[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307338&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307338&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)
alpha24.1715393522784
beta-1.2963355072811
S.D.3.45582772786274
T-STAT-0.375115778147546
p-value0.718681736243632
Lambda2.2963355072811


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
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')