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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 15:57:08 -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/t12245398772x4wg6n35u1ihzx.htm/, Retrieved Sun, 19 May 2024 13:03:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18219, Retrieved Sun, 19 May 2024 13:03:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact167

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] [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] [02e7fb326979b65614900650d62c19a6] [Current]
F    D              [Pearson Correlation] [Correlatie Nederl...] [2008-10-20 21:59:25] [3754dd41128068acfc463ebbabce5a9c]
Feedback Forum
2008-10-26 12:02:26 [Lindsay Heyndrickx] [reply] 
Dit is eerder een gemiddelde correlatie. De uitschieters kunnen dit wel beïnvloed hebben dus als je deze eruit haalt krijg je waarschijnlijk wel een betere correlatie.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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
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 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=18219&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=18219&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18219&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
Mean145.8183333333333687.79666666667
Biased Variance1916.71083055556551753.422655556
Biased Standard Deviation43.780256172795742.801065330116
Covariance17369.8881977401
Correlation0.525226908684954
Determination0.275863305606753
T-Test4.70057176070386
p-value (2 sided)1.64241976963186e-05
p-value (1 sided)8.21209884815932e-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 & 145.818333333333 & 3687.79666666667 \tabularnewline
Biased Variance & 1916.71083055556 & 551753.422655556 \tabularnewline
Biased Standard Deviation & 43.780256172795 & 742.801065330116 \tabularnewline
Covariance & 17369.8881977401 \tabularnewline
Correlation & 0.525226908684954 \tabularnewline
Determination & 0.275863305606753 \tabularnewline
T-Test & 4.70057176070386 \tabularnewline
p-value (2 sided) & 1.64241976963186e-05 \tabularnewline
p-value (1 sided) & 8.21209884815932e-06 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18219&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]145.818333333333[/C][C]3687.79666666667[/C][/ROW]
[ROW][C]Biased Variance[/C][C]1916.71083055556[/C][C]551753.422655556[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]43.780256172795[/C][C]742.801065330116[/C][/ROW]
[ROW][C]Covariance[/C][C]17369.8881977401[/C][/ROW]
[ROW][C]Correlation[/C][C]0.525226908684954[/C][/ROW]
[ROW][C]Determination[/C][C]0.275863305606753[/C][/ROW]
[ROW][C]T-Test[/C][C]4.70057176070386[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]1.64241976963186e-05[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]8.21209884815932e-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=18219&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18219&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
Mean145.8183333333333687.79666666667
Biased Variance1916.71083055556551753.422655556
Biased Standard Deviation43.780256172795742.801065330116
Covariance17369.8881977401
Correlation0.525226908684954
Determination0.275863305606753
T-Test4.70057176070386
p-value (2 sided)1.64241976963186e-05
p-value (1 sided)8.21209884815932e-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')