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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 computationFri, 31 Oct 2008 03:40:26 -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/31/t12254461034ff8vhuj35jv56c.htm/, Retrieved Sun, 19 May 2024 15:23:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=20199, Retrieved Sun, 19 May 2024 15:23:58 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact235

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Notched Boxplots] [workshop 3] [2007-10-26 13:31:48] [e9ffc5de6f8a7be62f22b142b5b6b1a8]
F RMPD    [Mean Plot] [workshop 4 deel 1...] [2008-10-31 09:40:26] [3817f5e632a8bfeb1be7b5e8c86bd450] [Current]
F R         [Mean Plot] [opdracht 4 task 4] [2008-10-31 13:19:40] [077ffec662d24c06be4c491541a44245]
F           [Mean Plot] [] [2008-11-01 13:19:15] [4c8dfb519edec2da3492d7e6be9a5685]
F R           [Mean Plot] [] [2008-11-01 13:59:33] [4c8dfb519edec2da3492d7e6be9a5685]
F               [Mean Plot] [Task 4 - Bob Leysen] [2008-11-02 15:49:09] [57850c80fd59ccfb28f882be994e814e]
F               [Mean Plot] [Task 4] [2008-11-02 16:04:40] [73d6180dc45497329efd1b6934a84aba]
F                 [Mean Plot] [Task 4] [2008-11-02 19:16:07] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
F    D        [Mean Plot] [] [2008-11-01 14:24:03] [4c8dfb519edec2da3492d7e6be9a5685]
F    D          [Mean Plot] [Task 5 - Bob Leysen] [2008-11-02 16:03:09] [57850c80fd59ccfb28f882be994e814e]
F    D            [Mean Plot] [opdracht 4 task 5] [2008-11-03 17:56:26] [077ffec662d24c06be4c491541a44245]
-    D          [Mean Plot] [task 5] [2008-11-02 16:22:21] [73d6180dc45497329efd1b6934a84aba]
F RMPD          [Star Plot] [Star Plot - Bob L...] [2008-11-02 16:44:14] [57850c80fd59ccfb28f882be994e814e]
F   P             [Star Plot] [Q2 -part 2] [2008-11-02 18:39:32] [73d6180dc45497329efd1b6934a84aba]
F   P             [Star Plot] [Star plot - Stefa...] [2008-11-03 19:45:53] [393f8bd7ec1141df13b2cdc1ba8ed059]
-    D              [Star Plot] [Verbetering Q2] [2008-11-05 17:50:39] [2d4aec5ed1856c4828162be37be304d9]
-                     [Star Plot] [Verbetering] [2008-11-09 11:11:25] [79c17183721a40a589db5f9f561947d8]
-   P             [Star Plot] [Part 2 - Q2] [2008-11-03 19:55:23] [547636b63517c1c2916a747d66b36ebf]
-   P             [Star Plot] [Q2- Jens Peeters] [2008-11-11 10:44:11] [b47fceb71c9525e79a89b5fc6d023d0e]
F RMPD            [Testing Mean with known Variance - Critical Value] [Q1] [2008-11-11 12:00:37] [b47fceb71c9525e79a89b5fc6d023d0e]
F RMPD            [Testing Mean with known Variance - p-value] [Q2] [2008-11-11 12:25:49] [b47fceb71c9525e79a89b5fc6d023d0e]
F RMPD            [Testing Mean with known Variance - Type II Error] [Q3] [2008-11-11 12:43:52] [b47fceb71c9525e79a89b5fc6d023d0e]
F RMPD            [Testing Mean with known Variance - Sample Size] [Q4] [2008-11-11 12:54:50] [b47fceb71c9525e79a89b5fc6d023d0e]
F RMPD            [Testing Population Mean with known Variance - Confidence Interval] [Q5] [2008-11-11 13:03:28] [b47fceb71c9525e79a89b5fc6d023d0e]
F RMPD            [Testing Sample Mean with known Variance - Confidence Interval] [Q6] [2008-11-11 13:11:57] [b47fceb71c9525e79a89b5fc6d023d0e]
F RMPD            [Bivariate Kernel Density Estimation] [Q1-1] [2008-11-11 14:13:42] [b47fceb71c9525e79a89b5fc6d023d0e]
F RM D            [Partial Correlation] [Q1-2] [2008-11-11 14:17:22] [b47fceb71c9525e79a89b5fc6d023d0e]
F RMPD            [Trivariate Scatterplots] [Q1-3] [2008-11-11 14:19:10] [b47fceb71c9525e79a89b5fc6d023d0e]
F    D          [Mean Plot] [task 5] [2008-11-02 17:55:34] [73d6180dc45497329efd1b6934a84aba]
F RM D        [Kendall tau Correlation Matrix] [] [2008-11-01 14:54:43] [4c8dfb519edec2da3492d7e6be9a5685]
F RM D          [Star Plot] [] [2008-11-01 15:07:20] [4c8dfb519edec2da3492d7e6be9a5685]
F RM D            [Notched Boxplots] [] [2008-11-01 15:20:06] [4c8dfb519edec2da3492d7e6be9a5685]
F   P               [Notched Boxplots] [] [2008-11-02 21:57:12] [077ffec662d24c06be4c491541a44245]
F   P             [Star Plot] [] [2008-11-02 21:55:44] [077ffec662d24c06be4c491541a44245]
F   PD          [Kendall tau Correlation Matrix] [] [2008-11-02 21:54:30] [077ffec662d24c06be4c491541a44245]
F             [Mean Plot] [Task 1 - Bob Leysen] [2008-11-02 15:25:34] [57850c80fd59ccfb28f882be994e814e]
F   P           [Mean Plot] [] [2008-11-06 19:08:36] [072bb89749ef40809573ea0372b43d78]
F             [Mean Plot] [task 4 ] [2008-11-02 16:02:26] [73d6180dc45497329efd1b6934a84aba]
-               [Mean Plot] [Task 4] [2008-11-02 19:13:48] [6816386b1f3c2f6c0c9f2aa1e5bc9362]
-   P         [Mean Plot] [EDA part 1 - Q4 -...] [2008-11-11 08:41:43] [33f4701c7363e8b81858dafbf0350eed]
F           [Mean Plot] [] [2008-11-01 13:27:58] [4c8dfb519edec2da3492d7e6be9a5685]
F             [Mean Plot] [] [2008-11-02 15:27:19] [57850c80fd59ccfb28f882be994e814e]
-    D      [Mean Plot] [Hypothesis Testin...] [2008-12-08 21:24:08] [59aea967d9353ed104ab16378d373ac2]
-   PD      [Mean Plot] [Mean plot werkloo...] [2008-12-19 15:31:03] [8b0d202c3a0c4ea223fd8b8e731dacd8]
-    D        [Mean Plot] [Mean plot inschr ...] [2008-12-19 16:01:42] [8b0d202c3a0c4ea223fd8b8e731dacd8]
Feedback Forum
2008-11-07 16:36:55 [Mehmet Yilmaz] [reply] 
De student geeft een correct antwoord. . Bij de box plot is het duidelijk visueel zichtbaar dat er seizoenaliteit aanwezig is. Deze is niet significant want mediaan valt binnen de betrouwbaarheidsintervallen.
2008-11-10 08:51:35 [Glenn De Maeyer] [reply] 
Op basis van de mean plot kunnen we het gemiddelde aflezen van een bepaalde maand over meerdere jaren. Zo stelt het eerste bolletje in de mean plot het gemiddelde voor van alle maanden maart in onze datareeks. Ik merkte hier terecht op dat er in maand 7 duidelijk een uitzonderlijk hoge stijging waar te nemen is terwijl we in maand 10 een uitzonderlijk sterke daling waarnemen.
Gebaseerd op de Mean Plot kunnen we dus inderdaad besluiten dat er duidelijk sprake is van invloed van seizoenaliteit.
Als we dan ook even de notched box plots - periodic subseries (ook hier stelt elk notched box plot het gemiddelde voor van elke maand (vb alle maanden maart) in de datareeks) bekijken merken we ook hier op dat de mediaanen van de maanden 7 en 8 boven die van de andere maanden liggen. Om te weten of dit verschil significant is moeten we kijken naar de notches. De notches van maand 7 bijvoorbeeld overlappen enkel met die van maanden 1 en 8. Dus het verschil in mediaan bij maand 7 t.o.v. maanden 1 en 8 is niet significant. T.o.v. de andere maanden wel.
Ten slotte valt op basis van de notches ook nog op te merken dat de mediaan van maand 10 significant lager ligt.
2008-11-10 09:04:07 [Glenn De Maeyer] [reply] 
Voor vraag 3 van workshop 4 deel 1 dienen we opnieuw deze link te gebruiken. Maar nu kijken we naar “Sequential Blocks”. Hier stelt elke notched box plot telkens 1 jaar voor. We bekijken zo de 5 jaren van de tijdreeks. Mijn antwoord op vraag 3 was dat de productie van kleding daalt. Als we kijken naar de 'Sequential Blocks' is dit inderdaad zo, maar is dit significant? Er is geen significant verschil want de betrouwbaarheidsintervallen snijden. Enkel jaar 1 t.o.v. jaar 5 is een twijfelgeval. Hier zouden we kunnen zeggen dat er een significant verschil is. Zonder jaar 5 zou je kunnen stellen dat er een daling is die aan het toeval te wijten is.

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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 time10 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 & 10 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=20199&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]10 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=20199&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=20199&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 time10 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))
darr <- array(NA,dim=c(par1,np+1))
ari <- array(0,dim=par1)
dx <- diff(x)
j <- 0
for (i in 1:n)
{
j = j + 1
ari[j] = ari[j] + 1
arr[j,ari[j]] <- x[i]
darr[j,ari[j]] <- dx[i]
if (j == par1) j = 0
}
ari
arr
darr
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='plot4b.png')
z <- data.frame(t(darr))
names(z) <- c(1:par1)
(boxplot(z,notch=TRUE,col='grey',xlab='Periodic Index',ylab='Value',main='Notched Box Plots - Differenced 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()