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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 computationMon, 20 Oct 2008 15:18:27 -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/20/t1224537589ciu4gvvs5wiahwf.htm/, Retrieved Tue, 28 May 2024 22:49:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18169, Retrieved Tue, 28 May 2024 22:49:34 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact133

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [Goudkoers] [2008-10-13 22:07:31] [82970caad4b026be9dd352fdec547fe4]
-   P   [Univariate Data Series] [Goudkoers] [2008-10-20 20:16:13] [82970caad4b026be9dd352fdec547fe4]
F RMPD      [Pearson Correlation] [Correlatie Wissel...] [2008-10-20 21:18:27] [c33ddd06d9ea3933c8ac89c0e74c9b3a] [Current]
Feedback Forum
2008-10-23 12:14:34 [Bas van Keken] [reply] 
De assen zijn naamloos. Hierdoor zijn de dimensies niet te af te lezen.
2008-10-27 19:48:19 [Steffi Van Isveldt] [reply] 
Correcte berekening en conclussies. Vergeet je assen inderdaad niet te benoemen

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1.1692
1.1702
1.2286
1.2613
1.2646
1.2262
1.1985
1.2007
1.2138
1.2266
1.2176
1.2218
1.249
1.2991
1.3408
1.3119
1.3014
1.3201
1.2938
1.2694
1.2165
1.2037
1.2292
1.2256
1.2015
1.1786
1.1856
1.2103
1.1938
1.202
1.2271
1.277
1.265
1.2684
1.2811
1.2727
1.2611
1.2881
1.3213
1.2999
1.3074
1.3242
1.3516
1.3511
1.3419
1.3716
1.3622
1.3896
1.4227
1.4684
1.457
1.4718
1.4748
1.5527
1.575
1.5557
1.5553
1.577
1.4975
1.4369
Dataseries Y:
Download CSV
Histogram 
2,17
2,28
2,25
2,09
2,05
1,94
2,06
2,18
2,27
2,25
2,19
2,27
2,21
2,22
2,19
2,2
2,19
2,22
2,15
2,08
2
2,06
2,11
2,11
2,3
2,57
2,65
2,69
2,76
2,93
3,05
3,15
3,23
3,37
3,45
3,55
3,63
3,7
3,75
3,88
3,91
3,94
4,1
4,21
4,33
4,38
4,19
4,06
4,06
4,02
4,08
3,84
3,6
3,69
3,95
4,11
4,52
4,48
4,33
4,21

Tables (Output of Computation)





Summary of computational 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 computational 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=18169&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]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=18169&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18169&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 time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean1.3106253.0735
Biased Variance0.01256712154166670.770149416666667
Biased Standard Deviation0.112103173646720.877581572656734
Covariance0.0743172669491525
Correlation0.742822565164963
Determination0.551785363318256
T-Test8.44998752139492
p-value (2 sided)1.08359987649465e-11
p-value (1 sided)5.41799938247323e-12
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 1.310625 & 3.0735 \tabularnewline
Biased Variance & 0.0125671215416667 & 0.770149416666667 \tabularnewline
Biased Standard Deviation & 0.11210317364672 & 0.877581572656734 \tabularnewline
Covariance & 0.0743172669491525 \tabularnewline
Correlation & 0.742822565164963 \tabularnewline
Determination & 0.551785363318256 \tabularnewline
T-Test & 8.44998752139492 \tabularnewline
p-value (2 sided) & 1.08359987649465e-11 \tabularnewline
p-value (1 sided) & 5.41799938247323e-12 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18169&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]1.310625[/C][C]3.0735[/C][/ROW]
[ROW][C]Biased Variance[/C][C]0.0125671215416667[/C][C]0.770149416666667[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]0.11210317364672[/C][C]0.877581572656734[/C][/ROW]
[ROW][C]Covariance[/C][C]0.0743172669491525[/C][/ROW]
[ROW][C]Correlation[/C][C]0.742822565164963[/C][/ROW]
[ROW][C]Determination[/C][C]0.551785363318256[/C][/ROW]
[ROW][C]T-Test[/C][C]8.44998752139492[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]1.08359987649465e-11[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]5.41799938247323e-12[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]58[/C][/ROW]
[ROW][C]Number of Observations[/C][C]60[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18169&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18169&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
Mean1.3106253.0735
Biased Variance0.01256712154166670.770149416666667
Biased Standard Deviation0.112103173646720.877581572656734
Covariance0.0743172669491525
Correlation0.742822565164963
Determination0.551785363318256
T-Test8.44998752139492
p-value (2 sided)1.08359987649465e-11
p-value (1 sided)5.41799938247323e-12
Degrees of Freedom58
Number of Observations60


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
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')