FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 computationSun, 21 Dec 2008 14:58:39 -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/2008/Dec/21/t12298967891p14vnx9vz39sjf.htm/, Retrieved Sun, 19 May 2024 10:45:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35860, Retrieved Sun, 19 May 2024 10:45:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact154

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Box-Cox Linearity Plot] [Box cox linearity...] [2008-12-21 21:47:51] [c5e27150943bc3d623392efb0d98f8d3]
-    D  [Box-Cox Linearity Plot] [Box cox linearity...] [2008-12-21 21:49:45] [c5e27150943bc3d623392efb0d98f8d3]
- RMPD    [Standard Deviation-Mean Plot] [standard deviatio...] [2008-12-21 21:56:51] [c5e27150943bc3d623392efb0d98f8d3]
-    D        [Standard Deviation-Mean Plot] [standard deviatio...] [2008-12-21 21:58:39] [25d75405d700c34901b109463a9659f5] [Current]
-    D          [Standard Deviation-Mean Plot] [standard deviatio...] [2008-12-21 22:00:36] [c5e27150943bc3d623392efb0d98f8d3]
- RMPD          [Box-Cox Normality Plot] [box cox normality...] [2008-12-21 22:02:22] [c5e27150943bc3d623392efb0d98f8d3]
-    D            [Box-Cox Normality Plot] [box cox normality...] [2008-12-21 22:04:17] [c5e27150943bc3d623392efb0d98f8d3]
-    D              [Box-Cox Normality Plot] [box cox normality...] [2008-12-21 22:05:43] [c5e27150943bc3d623392efb0d98f8d3]
- RM D              [Variance Reduction Matrix] [variance reductio...] [2008-12-21 22:07:14] [c5e27150943bc3d623392efb0d98f8d3]
-    D                [Variance Reduction Matrix] [variance reductio...] [2008-12-21 22:08:53] [4ddbf81f78ea7c738951638c7e93f6ee]
-    D                  [Variance Reduction Matrix] [variance reductio...] [2008-12-21 22:10:18] [4ddbf81f78ea7c738951638c7e93f6ee]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
9,4
9,5
9,1
9
9,3
9,9
9,8
9,4
8,3
8
8,5
10,4
11,1
10,9
9,9
9,2
9,2
9,5
9,6
9,5
9,1
8,9
9
10,1
10,3
10,2
9,6
9,2
9,3
9,4
9,4
9,2
9
9
9
9,8
10
9,9
9,3
9
9
9,1
9,1
9,1
9,2
8,8
8,3
8,4
8,1
7,8
7,9
7,9
8
7,9
7,5
7,2
6,9
6,6
6,7
7,3

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 4 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35860&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35860&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35860&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 time4 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
19.250.2380476142847620.5
29.60.2943920288775950.6
38.81.086278049120022.4
410.2750.8883505314157621.9
59.450.1732050807568880.4
69.2750.5560275772537421.2
79.8250.5188127472091131.10000000000000
89.3250.09574271077563420.200000000000001
99.20.40.8
109.550.4795831523312721
119.0750.04999999999999980.0999999999999996
128.6750.4112987559751020.899999999999999
137.9250.1258305739211790.3
147.650.3696845502136470.8
156.8750.3095695936834450.7

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 9.25 & 0.238047614284762 & 0.5 \tabularnewline
2 & 9.6 & 0.294392028877595 & 0.6 \tabularnewline
3 & 8.8 & 1.08627804912002 & 2.4 \tabularnewline
4 & 10.275 & 0.888350531415762 & 1.9 \tabularnewline
5 & 9.45 & 0.173205080756888 & 0.4 \tabularnewline
6 & 9.275 & 0.556027577253742 & 1.2 \tabularnewline
7 & 9.825 & 0.518812747209113 & 1.10000000000000 \tabularnewline
8 & 9.325 & 0.0957427107756342 & 0.200000000000001 \tabularnewline
9 & 9.2 & 0.4 & 0.8 \tabularnewline
10 & 9.55 & 0.479583152331272 & 1 \tabularnewline
11 & 9.075 & 0.0499999999999998 & 0.0999999999999996 \tabularnewline
12 & 8.675 & 0.411298755975102 & 0.899999999999999 \tabularnewline
13 & 7.925 & 0.125830573921179 & 0.3 \tabularnewline
14 & 7.65 & 0.369684550213647 & 0.8 \tabularnewline
15 & 6.875 & 0.309569593683445 & 0.7 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35860&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]9.25[/C][C]0.238047614284762[/C][C]0.5[/C][/ROW]
[ROW][C]2[/C][C]9.6[/C][C]0.294392028877595[/C][C]0.6[/C][/ROW]
[ROW][C]3[/C][C]8.8[/C][C]1.08627804912002[/C][C]2.4[/C][/ROW]
[ROW][C]4[/C][C]10.275[/C][C]0.888350531415762[/C][C]1.9[/C][/ROW]
[ROW][C]5[/C][C]9.45[/C][C]0.173205080756888[/C][C]0.4[/C][/ROW]
[ROW][C]6[/C][C]9.275[/C][C]0.556027577253742[/C][C]1.2[/C][/ROW]
[ROW][C]7[/C][C]9.825[/C][C]0.518812747209113[/C][C]1.10000000000000[/C][/ROW]
[ROW][C]8[/C][C]9.325[/C][C]0.0957427107756342[/C][C]0.200000000000001[/C][/ROW]
[ROW][C]9[/C][C]9.2[/C][C]0.4[/C][C]0.8[/C][/ROW]
[ROW][C]10[/C][C]9.55[/C][C]0.479583152331272[/C][C]1[/C][/ROW]
[ROW][C]11[/C][C]9.075[/C][C]0.0499999999999998[/C][C]0.0999999999999996[/C][/ROW]
[ROW][C]12[/C][C]8.675[/C][C]0.411298755975102[/C][C]0.899999999999999[/C][/ROW]
[ROW][C]13[/C][C]7.925[/C][C]0.125830573921179[/C][C]0.3[/C][/ROW]
[ROW][C]14[/C][C]7.65[/C][C]0.369684550213647[/C][C]0.8[/C][/ROW]
[ROW][C]15[/C][C]6.875[/C][C]0.309569593683445[/C][C]0.7[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35860&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35860&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
19.250.2380476142847620.5
29.60.2943920288775950.6
38.81.086278049120022.4
410.2750.8883505314157621.9
59.450.1732050807568880.4
69.2750.5560275772537421.2
79.8250.5188127472091131.10000000000000
89.3250.09574271077563420.200000000000001
99.20.40.8
109.550.4795831523312721
119.0750.04999999999999980.0999999999999996
128.6750.4112987559751020.899999999999999
137.9250.1258305739211790.3
147.650.3696845502136470.8
156.8750.3095695936834450.7






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-0.299024186917893
beta0.0777898758410877
S.D.0.0863441260029275
T-STAT0.900928406391539
p-value0.38401340282192

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.299024186917893 \tabularnewline
beta & 0.0777898758410877 \tabularnewline
S.D. & 0.0863441260029275 \tabularnewline
T-STAT & 0.900928406391539 \tabularnewline
p-value & 0.38401340282192 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35860&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.299024186917893[/C][/ROW]
[ROW][C]beta[/C][C]0.0777898758410877[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0863441260029275[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.900928406391539[/C][/ROW]
[ROW][C]p-value[/C][C]0.38401340282192[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35860&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35860&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)
alpha-0.299024186917893
beta0.0777898758410877
S.D.0.0863441260029275
T-STAT0.900928406391539
p-value0.38401340282192






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-3.78837577035167
beta1.18740519623986
S.D.2.15529588145238
T-STAT0.550924449147885
p-value0.591028271770572
Lambda-0.187405196239858

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -3.78837577035167 \tabularnewline
beta & 1.18740519623986 \tabularnewline
S.D. & 2.15529588145238 \tabularnewline
T-STAT & 0.550924449147885 \tabularnewline
p-value & 0.591028271770572 \tabularnewline
Lambda & -0.187405196239858 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35860&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.78837577035167[/C][/ROW]
[ROW][C]beta[/C][C]1.18740519623986[/C][/ROW]
[ROW][C]S.D.[/C][C]2.15529588145238[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.550924449147885[/C][/ROW]
[ROW][C]p-value[/C][C]0.591028271770572[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.187405196239858[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35860&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35860&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-3.78837577035167
beta1.18740519623986
S.D.2.15529588145238
T-STAT0.550924449147885
p-value0.591028271770572
Lambda-0.187405196239858


Figures (Output of Computation)

Input Parameters & R Code

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')