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Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationThu, 17 Dec 2009 13:33:08 -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/2009/Dec/17/t1261082036zpalehino7wyrzm.htm/, Retrieved Tue, 30 Apr 2024 06:29:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=69100, Retrieved Tue, 30 Apr 2024 06:29:34 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact93
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [spreidings en gem...] [2009-12-17 20:33:08] [1596366c2ece8f787477cc7d1246d4c7] [Current]
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Dataseries X:
75.9
76.9
77.9
78.9
79.9
80.9
81.9
82.9
83.9
84.9
85.9
86.9
87.9
88.9
89.9
90.9
91.9
92.9
93.9
94.9
95.9
96.9
97.9
98.9
99.9
100.9
101.9
102.9
103.9
104.9
105.9
106.9
107.9
108.9
109.9
110.9
111.9
112.9
113.9
114.9
115.9
116.9
117.9
118.9
119.9
120.9
121.9
122.9
123.9
124.9
125.9
126.9
127.9
128.9
129.9
130.9
131.9
132.9
133.9
134.9
135.9
136.9
137.9
138.9
139.9
140.9
141.9
142.9
143.9
144.9
145.9
146.9
147.9
148.9
149.9
150.9
151.9
152.9
153.9
154.9
155.9
156.9
157.9
158.9
159.9
160.9
161.9
162.9
163.9
164.9
165.9
166.9
167.9
168.9
169.9
170.9
171.9
172.9
173.9
174.9
175.9
176.9
177.9
178.9
179.9
180.9
181.9
182.9




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=69100&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=69100&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69100&T=0

As an alternative you can also use a 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
177.41.290994448735813
281.41.290994448735813
385.41.290994448735813
489.41.290994448735813
593.41.290994448735813
697.41.290994448735813
7101.41.290994448735813
8105.41.290994448735813
9109.41.290994448735813
10113.41.290994448735813
11117.41.290994448735813
12121.41.290994448735813
13125.41.290994448735813
14129.41.290994448735813
15133.41.290994448735813
16137.41.290994448735813
17141.41.290994448735813
18145.41.290994448735813
19149.41.290994448735813
20153.41.290994448735813
21157.41.290994448735813
22161.41.290994448735813
23165.41.290994448735813
24169.41.290994448735813
25173.41.290994448735813
26177.41.290994448735813
27181.41.290994448735813

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 77.4 & 1.29099444873581 & 3 \tabularnewline
2 & 81.4 & 1.29099444873581 & 3 \tabularnewline
3 & 85.4 & 1.29099444873581 & 3 \tabularnewline
4 & 89.4 & 1.29099444873581 & 3 \tabularnewline
5 & 93.4 & 1.29099444873581 & 3 \tabularnewline
6 & 97.4 & 1.29099444873581 & 3 \tabularnewline
7 & 101.4 & 1.29099444873581 & 3 \tabularnewline
8 & 105.4 & 1.29099444873581 & 3 \tabularnewline
9 & 109.4 & 1.29099444873581 & 3 \tabularnewline
10 & 113.4 & 1.29099444873581 & 3 \tabularnewline
11 & 117.4 & 1.29099444873581 & 3 \tabularnewline
12 & 121.4 & 1.29099444873581 & 3 \tabularnewline
13 & 125.4 & 1.29099444873581 & 3 \tabularnewline
14 & 129.4 & 1.29099444873581 & 3 \tabularnewline
15 & 133.4 & 1.29099444873581 & 3 \tabularnewline
16 & 137.4 & 1.29099444873581 & 3 \tabularnewline
17 & 141.4 & 1.29099444873581 & 3 \tabularnewline
18 & 145.4 & 1.29099444873581 & 3 \tabularnewline
19 & 149.4 & 1.29099444873581 & 3 \tabularnewline
20 & 153.4 & 1.29099444873581 & 3 \tabularnewline
21 & 157.4 & 1.29099444873581 & 3 \tabularnewline
22 & 161.4 & 1.29099444873581 & 3 \tabularnewline
23 & 165.4 & 1.29099444873581 & 3 \tabularnewline
24 & 169.4 & 1.29099444873581 & 3 \tabularnewline
25 & 173.4 & 1.29099444873581 & 3 \tabularnewline
26 & 177.4 & 1.29099444873581 & 3 \tabularnewline
27 & 181.4 & 1.29099444873581 & 3 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69100&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]77.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]2[/C][C]81.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]3[/C][C]85.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]4[/C][C]89.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]5[/C][C]93.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]6[/C][C]97.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]7[/C][C]101.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]8[/C][C]105.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]9[/C][C]109.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]10[/C][C]113.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]11[/C][C]117.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]12[/C][C]121.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]13[/C][C]125.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]14[/C][C]129.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]15[/C][C]133.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]16[/C][C]137.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]17[/C][C]141.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]18[/C][C]145.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]19[/C][C]149.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]20[/C][C]153.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]21[/C][C]157.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]22[/C][C]161.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]23[/C][C]165.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]24[/C][C]169.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]25[/C][C]173.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]26[/C][C]177.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[ROW][C]27[/C][C]181.4[/C][C]1.29099444873581[/C][C]3[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69100&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69100&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
177.41.290994448735813
281.41.290994448735813
385.41.290994448735813
489.41.290994448735813
593.41.290994448735813
697.41.290994448735813
7101.41.290994448735813
8105.41.290994448735813
9109.41.290994448735813
10113.41.290994448735813
11117.41.290994448735813
12121.41.290994448735813
13125.41.290994448735813
14129.41.290994448735813
15133.41.290994448735813
16137.41.290994448735813
17141.41.290994448735813
18145.41.290994448735813
19149.41.290994448735813
20153.41.290994448735813
21157.41.290994448735813
22161.41.290994448735813
23165.41.290994448735813
24169.41.290994448735813
25173.41.290994448735813
26177.41.290994448735813
27181.41.290994448735813







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha1.29099444873581
beta-9.15696517325508e-18
S.D.5.28677630773884e-18
T-STAT-1.73205080756888
p-value0.0955874355082

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1.29099444873581 \tabularnewline
beta & -9.15696517325508e-18 \tabularnewline
S.D. & 5.28677630773884e-18 \tabularnewline
T-STAT & -1.73205080756888 \tabularnewline
p-value & 0.0955874355082 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69100&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.29099444873581[/C][/ROW]
[ROW][C]beta[/C][C]-9.15696517325508e-18[/C][/ROW]
[ROW][C]S.D.[/C][C]5.28677630773884e-18[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.73205080756888[/C][/ROW]
[ROW][C]p-value[/C][C]0.0955874355082[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69100&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69100&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha1.29099444873581
beta-9.15696517325508e-18
S.D.5.28677630773884e-18
T-STAT-1.73205080756888
p-value0.0955874355082







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha0.255412811882996
beta-8.16816526683665e-17
S.D.4.01363420054333e-17
T-STAT-2.03510456078208
p-value0.0525733779741995
Lambda1

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 0.255412811882996 \tabularnewline
beta & -8.16816526683665e-17 \tabularnewline
S.D. & 4.01363420054333e-17 \tabularnewline
T-STAT & -2.03510456078208 \tabularnewline
p-value & 0.0525733779741995 \tabularnewline
Lambda & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69100&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.255412811882996[/C][/ROW]
[ROW][C]beta[/C][C]-8.16816526683665e-17[/C][/ROW]
[ROW][C]S.D.[/C][C]4.01363420054333e-17[/C][/ROW]
[ROW][C]T-STAT[/C][C]-2.03510456078208[/C][/ROW]
[ROW][C]p-value[/C][C]0.0525733779741995[/C][/ROW]
[ROW][C]Lambda[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69100&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69100&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha0.255412811882996
beta-8.16816526683665e-17
S.D.4.01363420054333e-17
T-STAT-2.03510456078208
p-value0.0525733779741995
Lambda1



Parameters (Session):
par1 = 4 ;
Parameters (R input):
par1 = 4 ;
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')