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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationFri, 01 Oct 2010 13:25:55 +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/2010/Oct/01/t128593964827ub6u3hq3n79e5.htm/, Retrieved Fri, 03 May 2024 04:17:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=79840, Retrieved Fri, 03 May 2024 04:17:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact189

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Pearson Correlation] [Screen dimensions] [2010-09-25 10:10:17] [b98453cac15ba1066b407e146608df68]
F   PD    [Pearson Correlation] [Task 8] [2010-10-01 13:25:55] [3ee4962e6ce79244b15c133e74cea133] [Current]
Feedback Forum
2010-10-10 12:22:25 [Koenraad Van Rompay] [reply] 
Hier was het enkel de bedoeling de gegevens te interpreteren. Wanneer je de gegevens afrond, zorgt dit voor een volledig ander resultaat.

We zien duidelijk dat er een relatie is tussen de height/width ratio's
2010-10-11 23:46:33 [Naoual Ahidar] [reply] 
Hier is ook geen antwoord geformuleerd. De bedoeling van deze opdracht was om de gegevens te interpreteren. Als we dat doen zien we duidelijk 3 Height/Width ratios.
2010-10-12 09:17:55 [Jasper Ledeganck] [reply] 
Bij deze opdracht diende er niet gereproduceerd te worden, enkel geïnterpreteerd. We zien duidelijk 3 lijnen als we de bolletjes zouden verbinden. Er is dus duidelijk een verband tussen hoogte en breedte.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1120
1280
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1176
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1176
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1024
1280
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1280
Dataseries Y:
Download CSV
Histogram 
700
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735
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735
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Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=79840&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=79840&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=79840&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean1346.22784810127841.392405063291
Biased Variance17547.23922448336854.39032206377
Biased Standard Deviation132.46599270938782.7912454433666
Covariance11107.6273937033
Correlation1
Determination1
T-TestInf
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom77
Number of Observations79

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 1346.22784810127 & 841.392405063291 \tabularnewline
Biased Variance & 17547.2392244833 & 6854.39032206377 \tabularnewline
Biased Standard Deviation & 132.465992709387 & 82.7912454433666 \tabularnewline
Covariance & 11107.6273937033 \tabularnewline
Correlation & 1 \tabularnewline
Determination & 1 \tabularnewline
T-Test & Inf \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 77 \tabularnewline
Number of Observations & 79 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=79840&T=1

[TABLE]
[ROW][C]Pearson Product Moment Correlation - Ungrouped Data[/C][/ROW]
[ROW][C]Statistic[/C][C]Variable X[/C][C]Variable Y[/C][/ROW]
[ROW][C]Mean[/C][C]1346.22784810127[/C][C]841.392405063291[/C][/ROW]
[ROW][C]Biased Variance[/C][C]17547.2392244833[/C][C]6854.39032206377[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]132.465992709387[/C][C]82.7912454433666[/C][/ROW]
[ROW][C]Covariance[/C][C]11107.6273937033[/C][/ROW]
[ROW][C]Correlation[/C][C]1[/C][/ROW]
[ROW][C]Determination[/C][C]1[/C][/ROW]
[ROW][C]T-Test[/C][C]Inf[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]77[/C][/ROW]
[ROW][C]Number of Observations[/C][C]79[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=79840&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=79840&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:

Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean1346.22784810127841.392405063291
Biased Variance17547.23922448336854.39032206377
Biased Standard Deviation132.46599270938782.7912454433666
Covariance11107.6273937033
Correlation1
Determination1
T-TestInf
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom77
Number of Observations79


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 30 ; par2 = grey ; par3 = TRUE ; par4 = Unknown ;
Parameters (R input):
R code (references can be found in the software module):
bitmap(file='test1.png')
histx <- hist(x, plot=FALSE)
histy <- hist(y, plot=FALSE)
maxcounts <- max(c(histx$counts, histx$counts))
xrange <- c(min(x),max(x))
yrange <- c(min(y),max(y))
nf <- layout(matrix(c(2,0,1,3),2,2,byrow=TRUE), c(3,1), c(1,3), TRUE)
par(mar=c(4,4,1,1))
plot(x, y, xlim=xrange, ylim=yrange, xlab=xlab, ylab=ylab)
par(mar=c(0,4,1,1))
barplot(histx$counts, axes=FALSE, ylim=c(0, maxcounts), space=0)
par(mar=c(4,0,1,1))
barplot(histy$counts, axes=FALSE, xlim=c(0, maxcounts), space=0, horiz=TRUE)
dev.off()
lx = length(x)
makebiased = (lx-1)/lx
varx = var(x)*makebiased
vary = var(y)*makebiased
corxy <- cor.test(x,y,method='pearson')
cxy <- as.matrix(corxy$estimate)[1,1]
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Pearson Product Moment Correlation - Ungrouped Data',3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Statistic',1,TRUE)
a<-table.element(a,'Variable X',1,TRUE)
a<-table.element(a,'Variable Y',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('arithmetic_mean.htm','Mean',''),header=TRUE)
a<-table.element(a,mean(x))
a<-table.element(a,mean(y))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('biased.htm','Biased Variance',''),header=TRUE)
a<-table.element(a,varx)
a<-table.element(a,vary)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('biased1.htm','Biased Standard Deviation',''),header=TRUE)
a<-table.element(a,sqrt(varx))
a<-table.element(a,sqrt(vary))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('covariance.htm','Covariance',''),header=TRUE)
a<-table.element(a,cov(x,y),2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('pearson_correlation.htm','Correlation',''),header=TRUE)
a<-table.element(a,cxy,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('coeff_of_determination.htm','Determination',''),header=TRUE)
a<-table.element(a,cxy*cxy,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('ttest_statistic.htm','T-Test',''),header=TRUE)
a<-table.element(a,as.matrix(corxy$statistic)[1,1],2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value (2 sided)',header=TRUE)
a<-table.element(a,(p2 <- as.matrix(corxy$p.value)[1,1]),2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value (1 sided)',header=TRUE)
a<-table.element(a,p2/2,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degrees of Freedom',header=TRUE)
a<-table.element(a,lx-2,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Number of Observations',header=TRUE)
a<-table.element(a,lx,2)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')