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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_meanplot.wasp
Title produced by softwareMean Plot
Date of computationWed, 29 Oct 2008 10:51:46 -0600
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/Oct/29/t1225299171x768jox8slbu83c.htm/, Retrieved Tue, 02 Jun 2026 04:24:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=19912, Retrieved Tue, 02 Jun 2026 04:24:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact465

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Mean Plot] [workshop 3] [2007-10-26 12:14:28] [e9ffc5de6f8a7be62f22b142b5b6b1a8]
F    D    [Mean Plot] [Hypothesis Testin...] [2008-10-29 16:51:46] [0f30549460cf4ec26d9cf94b1fcf7789] [Current]
F    D      [Mean Plot] [Hypothesis Testin...] [2008-10-29 18:45:02] [a57f5cc542637534b8bb5bcb4d37eab1]
F    D        [Mean Plot] [Hypothesis Testin...] [2008-10-29 18:46:57] [a57f5cc542637534b8bb5bcb4d37eab1]
F R         [Mean Plot] [Hypothesis Testin...] [2008-11-01 13:34:58] [a57f5cc542637534b8bb5bcb4d37eab1]
-    D      [Mean Plot] [Various Types of ...] [2008-11-11 13:12:58] [a57f5cc542637534b8bb5bcb4d37eab1]
-             [Mean Plot] [...] [2008-11-13 11:04:13] [74be16979710d4c4e7c6647856088456]
-    D      [Mean Plot] [Paper - Mean plot] [2008-12-14 15:07:50] [a57f5cc542637534b8bb5bcb4d37eab1]
Feedback Forum
2008-11-05 15:14:38 [Veerle Jackers] [reply] 
Hier heb ik een domme fout gemaakt.
Maand 1 is nl maart en niet, zoals ik dacht, januari. Er is dus wel een effect van seizoenaliteit.
b.v: Hoge waarden in maanden 7 en 8 (= september en oktober, NIET juli en augustus)
  2008-11-10 11:45:53 [Wim Golsteyn] [reply] 
Wees gerust, je bent niet de enige die deze fout gemaakt heeft.
De conclusie was wel ongeveer juist, er is duidelijk sprake van seizoenaliteit.
2008-11-05 15:16:21 [Veerle Jackers] [reply] 
Vorige opmerking was voor Q2.
2008-11-05 15:17:44 [Veerle Jackers] [reply] 
Voor Q3 (is immers dezelfde berekening): antwoord klopt, maar had er meer van moeten vanuit gaan dat er ook toeval mee gemoeid kan zijn en dat dus enkel tussen 1 en 5 een duidelijk (significante) daling merkbaar is, het verschil tussen de rest kan eventueel nog aan toeval te wijten zijn.
  2008-11-10 11:50:07 [Wim Golsteyn] [reply] 
Inderdaad, de betrouwbaarheidsintevallen van jaar 1 tem jaar 4 overlappen elkaar nog duidelijk, en kunnen dus toavallig zijn, jaar 5 tov jaar 1 is al iets minder duidelijk, en zou dus misschien niet aan het toaval te wijten zijn. Hoe dan ook, de mediaan zakt quasi elk jaar, en de hypothese lijkt dus te kloppen.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
109.20
88.60
94.30
98.30
86.40
80.60
104.10
108.20
93.40
71.90
94.10
94.90
96.40
91.10
84.40
86.40
88.00
75.10
109.70
103.00
82.10
68.00
96.40
94.30
90.00
88.00
76.10
82.50
81.40
66.50
97.20
94.10
80.70
70.50
87.80
89.50
99.60
84.20
75.10
92.00
80.80
73.10
99.80
90.00
83.10
72.40
78.80
87.30
91.00
80.10
73.60
86.40
74.50
71.20
92.40
81.50
85.30
69.90
84.20
90.70
100.30

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=19912&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=19912&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=19912&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 time2 seconds
R Server'George Udny Yule' @ 72.249.76.132


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+1))
ari <- array(0,dim=par1)
j <- 0
for (i in 1:n)
{
j = j + 1
ari[j] = ari[j] + 1
arr[j,ari[j]] <- x[i]
if (j == par1) j = 0
}
ari
arr
arr.mean <- array(NA,dim=par1)
arr.median <- array(NA,dim=par1)
arr.midrange <- array(NA,dim=par1)
for (j in 1:par1)
{
arr.mean[j] <- mean(arr[j,],na.rm=TRUE)
arr.median[j] <- median(arr[j,],na.rm=TRUE)
arr.midrange[j] <- (quantile(arr[j,],0.75,na.rm=TRUE) + quantile(arr[j,],0.25,na.rm=TRUE)) / 2
}
overall.mean <- mean(x)
overall.median <- median(x)
overall.midrange <- (quantile(x,0.75) + quantile(x,0.25)) / 2
bitmap(file='plot1.png')
plot(arr.mean,type='b',ylab='mean',main='Mean Plot',xlab='Periodic Index')
mtext(paste('#blocks = ',np))
abline(overall.mean,0)
dev.off()
bitmap(file='plot2.png')
plot(arr.median,type='b',ylab='median',main='Median Plot',xlab='Periodic Index')
mtext(paste('#blocks = ',np))
abline(overall.median,0)
dev.off()
bitmap(file='plot3.png')
plot(arr.midrange,type='b',ylab='midrange',main='Midrange Plot',xlab='Periodic Index')
mtext(paste('#blocks = ',np))
abline(overall.midrange,0)
dev.off()
bitmap(file='plot4.png')
z <- data.frame(t(arr))
names(z) <- c(1:par1)
(boxplot(z,notch=TRUE,col='grey',xlab='Periodic Index',ylab='Value',main='Notched Box Plots - Periodic Subseries'))
dev.off()
bitmap(file='plot5.png')
z <- data.frame(arr)
names(z) <- c(1:np)
(boxplot(z,notch=TRUE,col='grey',xlab='Block Index',ylab='Value',main='Notched Box Plots - Sequential Blocks'))
dev.off()
bitmap(file='plot6.png')
z <- data.frame(cbind(arr.mean,arr.median,arr.midrange))
names(z) <- list('mean','median','midrange')
(boxplot(z,notch=TRUE,col='grey',ylab='Overall Central Tendency',main='Notched Box Plots'))
dev.off()