FreeStatistics.org

Free Statistics

of Irreproducible Research!

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, 21 Nov 2007 12:19:47 -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/2007/Nov/21/t1195672415ld43pqyyolp09th.htm/, Retrieved Tue, 07 May 2024 09:43:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=5868, Retrieved Tue, 07 May 2024 09:43:26 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact212

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] [WS10Q1] [2007-11-21 19:19:47] [e0964b90cb3acfe235da067e79729c23] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2529
2196
3202
2718
2728
2354
2697
2651
2067
2641
2539
2294
2712
2314
3092
2677
2813
2668
2939
2617
2231
2481
2421
2408
2560
2100
3315
2801
2403
3024
2507
2980
2211
2471
2594
2452
2232
2373
3127
2802
2641
2787
2619
2806
2193
2323
2529
2412
2262
2154
3230
2295
2715
2733
2317
2730
1913
2390
2484
1960

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\begin{tabular}{lllllllll}
\hline
Summary of compuational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 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=5868&T=0

[TABLE]
[ROW][C]Summary of compuational 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]3 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=5868&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5868&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
12551.33333333333299.727249749542970
22614.41666666667256.598185472693992
32618.16666666667351.723246920420223
42570.33333333333279.143929422320832
52431.91666666667373.081628487857827

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2551.33333333333 & 299.727249749542 & 970 \tabularnewline
2 & 2614.41666666667 & 256.598185472693 & 992 \tabularnewline
3 & 2618.16666666667 & 351.723246920420 & 223 \tabularnewline
4 & 2570.33333333333 & 279.143929422320 & 832 \tabularnewline
5 & 2431.91666666667 & 373.081628487857 & 827 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=5868&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]2551.33333333333[/C][C]299.727249749542[/C][C]970[/C][/ROW]
[ROW][C]2[/C][C]2614.41666666667[/C][C]256.598185472693[/C][C]992[/C][/ROW]
[ROW][C]3[/C][C]2618.16666666667[/C][C]351.723246920420[/C][C]223[/C][/ROW]
[ROW][C]4[/C][C]2570.33333333333[/C][C]279.143929422320[/C][C]832[/C][/ROW]
[ROW][C]5[/C][C]2431.91666666667[/C][C]373.081628487857[/C][C]827[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=5868&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5868&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
12551.33333333333299.727249749542970
22614.41666666667256.598185472693992
32618.16666666667351.723246920420223
42570.33333333333279.143929422320832
52431.91666666667373.081628487857827






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha1290.57430419357
beta-0.382647701102626
S.D.0.301816911618479
T-STAT-1.26781398381786
p-value0.294322749150663

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1290.57430419357 \tabularnewline
beta & -0.382647701102626 \tabularnewline
S.D. & 0.301816911618479 \tabularnewline
T-STAT & -1.26781398381786 \tabularnewline
p-value & 0.294322749150663 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=5868&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1290.57430419357[/C][/ROW]
[ROW][C]beta[/C][C]-0.382647701102626[/C][/ROW]
[ROW][C]S.D.[/C][C]0.301816911618479[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.26781398381786[/C][/ROW]
[ROW][C]p-value[/C][C]0.294322749150663[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=5868&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5868&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)
alpha1290.57430419357
beta-0.382647701102626
S.D.0.301816911618479
T-STAT-1.26781398381786
p-value0.294322749150663






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha29.6664372809757
beta-3.05022895409465
S.D.2.44577903385369
T-STAT-1.24714003672219
p-value0.300839857577586
Lambda4.05022895409465

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 29.6664372809757 \tabularnewline
beta & -3.05022895409465 \tabularnewline
S.D. & 2.44577903385369 \tabularnewline
T-STAT & -1.24714003672219 \tabularnewline
p-value & 0.300839857577586 \tabularnewline
Lambda & 4.05022895409465 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=5868&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]29.6664372809757[/C][/ROW]
[ROW][C]beta[/C][C]-3.05022895409465[/C][/ROW]
[ROW][C]S.D.[/C][C]2.44577903385369[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.24714003672219[/C][/ROW]
[ROW][C]p-value[/C][C]0.300839857577586[/C][/ROW]
[ROW][C]Lambda[/C][C]4.05022895409465[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=5868&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5868&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)
alpha29.6664372809757
beta-3.05022895409465
S.D.2.44577903385369
T-STAT-1.24714003672219
p-value0.300839857577586
Lambda4.05022895409465


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')