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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 15:45:12 -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/t1224539142iwgyes5k9yfelf7.htm/, Retrieved Wed, 29 May 2024 04:51:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18201, Retrieved Wed, 29 May 2024 04:51:56 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact139

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] [3754dd41128068acfc463ebbabce5a9c]
F    D      [Pearson Correlation] [Correlatie Frankr...] [2008-10-20 21:45:12] [02e7fb326979b65614900650d62c19a6] [Current]
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 11:59:57 [Lindsay Heyndrickx] [reply] 
Dit is een goede positieve correlatie. Het ligt al veel dichter bij de 1 dus dit is een goed 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 
2894.3
2838.1
3137.7
2703.7
2623.6
2691.1
2577.9
2430.5
2871
2922.5
2810.8
3070.3
2790
2821
3383.6
3038.4
2877.3
3283.7
2927.3
2952.5
3328.9
3467.3
3355.6
3707
3275.6
3466.5
4054.3
3708.5
3339
3559.8
3189.2
3620.7
3915.4
3804.3
4391.6
4975.9
4478.7
4455.8
5661.8
4062.8
4257.7
4114.2
3793.8
4170
4004.9
4129.7
4116
4133.8
4081.2
3854.1
4239.8
3718.5
4183.1
4336.1
4299.2
4285.3
4676.7
4980.6
5207.4
5221.7

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=18201&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=18201&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18201&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






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean2494.8853687.79666666667
Biased Variance92463.166275551753.422655556
Biased Standard Deviation304.077566214609742.801065330116
Covariance164252.261813559
Correlation0.715080971334587
Determination0.511340795564817
T-Test7.79051514847107
p-value (2 sided)1.37564182267624e-10
p-value (1 sided)6.87820911338122e-11
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 & 3687.79666666667 \tabularnewline
Biased Variance & 92463.166275 & 551753.422655556 \tabularnewline
Biased Standard Deviation & 304.077566214609 & 742.801065330116 \tabularnewline
Covariance & 164252.261813559 \tabularnewline
Correlation & 0.715080971334587 \tabularnewline
Determination & 0.511340795564817 \tabularnewline
T-Test & 7.79051514847107 \tabularnewline
p-value (2 sided) & 1.37564182267624e-10 \tabularnewline
p-value (1 sided) & 6.87820911338122e-11 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18201&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]3687.79666666667[/C][/ROW]
[ROW][C]Biased Variance[/C][C]92463.166275[/C][C]551753.422655556[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]304.077566214609[/C][C]742.801065330116[/C][/ROW]
[ROW][C]Covariance[/C][C]164252.261813559[/C][/ROW]
[ROW][C]Correlation[/C][C]0.715080971334587[/C][/ROW]
[ROW][C]Determination[/C][C]0.511340795564817[/C][/ROW]
[ROW][C]T-Test[/C][C]7.79051514847107[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]1.37564182267624e-10[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]6.87820911338122e-11[/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=18201&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18201&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
Mean2494.8853687.79666666667
Biased Variance92463.166275551753.422655556
Biased Standard Deviation304.077566214609742.801065330116
Covariance164252.261813559
Correlation0.715080971334587
Determination0.511340795564817
T-Test7.79051514847107
p-value (2 sided)1.37564182267624e-10
p-value (1 sided)6.87820911338122e-11
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')