Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationSun, 22 Nov 2015 17:45:36 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Nov/22/t1448214411o27nnndayvl5isj.htm/, Retrieved Thu, 31 Oct 2024 22:58:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=283856, Retrieved Thu, 31 Oct 2024 22:58:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact79
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [] [2015-11-22 17:45:36] [95d8e8f4c3757e497124afd1d843b6c1] [Current]
Feedback Forum

Post a new message
Dataseries X:
254
200
165
123
162
145
145
161
155
173
160
47
232
143
161
159
243
192
157
143
221
227
132
41
273
182
188
162
140
186
178
236
202
184
119
16
340
151
240
235
174
309
174
207
209
171
117
10
339
139
186
155
153
222
102
107
188
162
185
24
394
209
248
254
202
258
215
309
240
258
276
48
455
345
311
346
310
297
300
274
292
304
186
14
321
206
160
217
204
246
234
175
364
328
158
40
556
193
221
278
230
253
240
252
228
306
206
48
557
279
399
364
306
471
293
333
316
329
265
61
679
428
394
352
387
590
177
199
203
255
261
115




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

\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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283856&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283856&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283856&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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1157.547.8377941115029207
2170.91666666666756.7377673373234202
3172.16666666666763.387456937234257
4194.7586.1754288962611330
5163.575.6853534527832315
6242.58333333333380.0539117587566346
7286.166666666667105.16120381528441
8221.08333333333388.3119042045999324
9250.916666666667114.959643775412508
10331.083333333333120.095006582541496
11336.666666666667170.456783823687564

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 157.5 & 47.8377941115029 & 207 \tabularnewline
2 & 170.916666666667 & 56.7377673373234 & 202 \tabularnewline
3 & 172.166666666667 & 63.387456937234 & 257 \tabularnewline
4 & 194.75 & 86.1754288962611 & 330 \tabularnewline
5 & 163.5 & 75.6853534527832 & 315 \tabularnewline
6 & 242.583333333333 & 80.0539117587566 & 346 \tabularnewline
7 & 286.166666666667 & 105.16120381528 & 441 \tabularnewline
8 & 221.083333333333 & 88.3119042045999 & 324 \tabularnewline
9 & 250.916666666667 & 114.959643775412 & 508 \tabularnewline
10 & 331.083333333333 & 120.095006582541 & 496 \tabularnewline
11 & 336.666666666667 & 170.456783823687 & 564 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283856&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]157.5[/C][C]47.8377941115029[/C][C]207[/C][/ROW]
[ROW][C]2[/C][C]170.916666666667[/C][C]56.7377673373234[/C][C]202[/C][/ROW]
[ROW][C]3[/C][C]172.166666666667[/C][C]63.387456937234[/C][C]257[/C][/ROW]
[ROW][C]4[/C][C]194.75[/C][C]86.1754288962611[/C][C]330[/C][/ROW]
[ROW][C]5[/C][C]163.5[/C][C]75.6853534527832[/C][C]315[/C][/ROW]
[ROW][C]6[/C][C]242.583333333333[/C][C]80.0539117587566[/C][C]346[/C][/ROW]
[ROW][C]7[/C][C]286.166666666667[/C][C]105.16120381528[/C][C]441[/C][/ROW]
[ROW][C]8[/C][C]221.083333333333[/C][C]88.3119042045999[/C][C]324[/C][/ROW]
[ROW][C]9[/C][C]250.916666666667[/C][C]114.959643775412[/C][C]508[/C][/ROW]
[ROW][C]10[/C][C]331.083333333333[/C][C]120.095006582541[/C][C]496[/C][/ROW]
[ROW][C]11[/C][C]336.666666666667[/C][C]170.456783823687[/C][C]564[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283856&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283856&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
1157.547.8377941115029207
2170.91666666666756.7377673373234202
3172.16666666666763.387456937234257
4194.7586.1754288962611330
5163.575.6853534527832315
6242.58333333333380.0539117587566346
7286.166666666667105.16120381528441
8221.08333333333388.3119042045999324
9250.916666666667114.959643775412508
10331.083333333333120.095006582541496
11336.666666666667170.456783823687564







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-17.573466379462
beta0.475667522369875
S.D.0.0776423013223891
T-STAT6.1263964909385
p-value0.000173602411371757

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -17.573466379462 \tabularnewline
beta & 0.475667522369875 \tabularnewline
S.D. & 0.0776423013223891 \tabularnewline
T-STAT & 6.1263964909385 \tabularnewline
p-value & 0.000173602411371757 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283856&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-17.573466379462[/C][/ROW]
[ROW][C]beta[/C][C]0.475667522369875[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0776423013223891[/C][/ROW]
[ROW][C]T-STAT[/C][C]6.1263964909385[/C][/ROW]
[ROW][C]p-value[/C][C]0.000173602411371757[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283856&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283856&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)
alpha-17.573466379462
beta0.475667522369875
S.D.0.0776423013223891
T-STAT6.1263964909385
p-value0.000173602411371757







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-1.9315662631607
beta1.18288809751704
S.D.0.18551424587759
T-STAT6.37626556344117
p-value0.000128820944005062
Lambda-0.182888097517039

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.9315662631607 \tabularnewline
beta & 1.18288809751704 \tabularnewline
S.D. & 0.18551424587759 \tabularnewline
T-STAT & 6.37626556344117 \tabularnewline
p-value & 0.000128820944005062 \tabularnewline
Lambda & -0.182888097517039 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=283856&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.9315662631607[/C][/ROW]
[ROW][C]beta[/C][C]1.18288809751704[/C][/ROW]
[ROW][C]S.D.[/C][C]0.18551424587759[/C][/ROW]
[ROW][C]T-STAT[/C][C]6.37626556344117[/C][/ROW]
[ROW][C]p-value[/C][C]0.000128820944005062[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.182888097517039[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=283856&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=283856&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)
alpha-1.9315662631607
beta1.18288809751704
S.D.0.18551424587759
T-STAT6.37626556344117
p-value0.000128820944005062
Lambda-0.182888097517039



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')