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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 15:39:12 -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/t1224538992axh7cw2th822iuo.htm/, Retrieved Sun, 19 May 2024 16:35:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18196, Retrieved Sun, 19 May 2024 16:35:49 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact165

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Pearson Correlation] [Investigating ass...] [2007-10-22 22:08:56] [8cd6641b921d30ebe00b648d1481bba0]
F    D    [Pearson Correlation] [Correlatie Frankr...] [2008-10-20 21:39:12] [02e7fb326979b65614900650d62c19a6] [Current]
F    D      [Pearson Correlation] [Correlatie Frankr...] [2008-10-20 21:45:12] [3754dd41128068acfc463ebbabce5a9c]
F    D        [Pearson Correlation] [Correlatie Frankr...] [2008-10-20 21:48:50] [3754dd41128068acfc463ebbabce5a9c]
F    D          [Pearson Correlation] [Correlatie Luxemb...] [2008-10-20 21:52:24] [3754dd41128068acfc463ebbabce5a9c]
F    D            [Pearson Correlation] [Correlatie Luxemb...] [2008-10-20 21:57:08] [3754dd41128068acfc463ebbabce5a9c]
F    D              [Pearson Correlation] [Correlatie Nederl...] [2008-10-20 21:59:25] [3754dd41128068acfc463ebbabce5a9c]
Feedback Forum
2008-10-26 11:59:04 [Lindsay Heyndrickx] [reply] 
Hier is een gemiddelde correlatie. De correlatie moet tussen 0 en 1 of -1 liggen en hier is dit duidelijk. Dus hier is idd een correlatie.Hier zijn inderdaad ook duidelijke uitschieters die ook invloed kunnen hebben op de correlatie.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2333.3
2282.2
2458.2
2345.5
2065.2
2332.5
2077.5
1691.4
2381.9
2526
2212.1
2459.9
2178.8
2318.2
2661.8
2407.9
2040.6
2601.6
2106.3
1829.9
2546.1
2363
2435.8
2668
2316.9
2324.2
2610.8
2413.2
2345.2
2590.8
2132.1
1990.7
2641.7
2437.1
2649.2
2819.4
2405.6
2451.3
2878.5
2534.1
2670.6
2909.7
2261.8
2135.3
2870.4
2803.2
2775.1
2633.7
2930.6
2779.7
3039.2
2752.7
2743.1
2914
2711.9
2295.8
2840.6
3230.5
2761.1
2769.6
Dataseries Y:
Download CSV
Histogram 
117
122.2
116.8
115
105.3
114.1
102.1
91
123.2
125.8
108.1
117.2
111
114.5
141.9
135.5
128.3
142.7
135.4
174.3
186
154.9
146.2
135.9
118
113.3
138
138
116.7
303
111.6
110.1
132.8
133.2
135.9
153.7
132.7
141.1
168
136
134.7
146.4
135.5
134.8
145
156.4
161.7
144.1
147.7
152.2
170.7
225.8
151.3
162.3
132.6
130.1
149.1
340.7
243.4
238.1

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'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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18196&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18196&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18196&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'George Udny Yule' @ 72.249.76.132






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean2494.885145.818333333333
Biased Variance92463.1662751916.71083055556
Biased Standard Deviation304.07756621460943.780256172795
Covariance7539.83044915254
Correlation0.55692878113737
Determination0.310169667259157
T-Test5.10672551617837
p-value (2 sided)3.81257164883131e-06
p-value (1 sided)1.90628582441565e-06
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 2494.885 & 145.818333333333 \tabularnewline
Biased Variance & 92463.166275 & 1916.71083055556 \tabularnewline
Biased Standard Deviation & 304.077566214609 & 43.780256172795 \tabularnewline
Covariance & 7539.83044915254 \tabularnewline
Correlation & 0.55692878113737 \tabularnewline
Determination & 0.310169667259157 \tabularnewline
T-Test & 5.10672551617837 \tabularnewline
p-value (2 sided) & 3.81257164883131e-06 \tabularnewline
p-value (1 sided) & 1.90628582441565e-06 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18196&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]2494.885[/C][C]145.818333333333[/C][/ROW]
[ROW][C]Biased Variance[/C][C]92463.166275[/C][C]1916.71083055556[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]304.077566214609[/C][C]43.780256172795[/C][/ROW]
[ROW][C]Covariance[/C][C]7539.83044915254[/C][/ROW]
[ROW][C]Correlation[/C][C]0.55692878113737[/C][/ROW]
[ROW][C]Determination[/C][C]0.310169667259157[/C][/ROW]
[ROW][C]T-Test[/C][C]5.10672551617837[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]3.81257164883131e-06[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]1.90628582441565e-06[/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=18196&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18196&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
Mean2494.885145.818333333333
Biased Variance92463.1662751916.71083055556
Biased Standard Deviation304.07756621460943.780256172795
Covariance7539.83044915254
Correlation0.55692878113737
Determination0.310169667259157
T-Test5.10672551617837
p-value (2 sided)3.81257164883131e-06
p-value (1 sided)1.90628582441565e-06
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')