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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 10:12:52 -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/t1224519211bc7njuli87pq57e.htm/, Retrieved Sat, 18 May 2024 02:57:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=17582, Retrieved Sat, 18 May 2024 02:57:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact141

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 22:28:36] [8cd6641b921d30ebe00b648d1481bba0]
F    D    [Pearson Correlation] [] [2008-10-20 16:12:52] [6d40a467de0f28bd2350f82ac9522c51] [Current]
Feedback Forum
2008-10-25 12:22:41 [Kristof Van Esbroeck] [reply] 
Hier noteren we dan weer een sterk positieve correlatie, visueel waarneembaar door de rechte die van linksonder tot rechtsboven zou kunnen lopen.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
299,63
305,945
382,252
348,846
335,367
373,617
312,612
312,232
337,161
331,476
350,103
345,127
297,256
295,979
361,007
321,803
354,937
349,432
290,979
349,576
327,625
349,377
336,777
339,134
323,321
318,86
373,583
333,03
408,556
414,646
291,514
348,857
349,368
375,765
364,136
349,53
348,167
332,856
360,551
346,969
392,815
372,02
371,027
342,672
367,343
390,786
343,785
362,6
349,468
340,624
369,536
407,782
392,239
404,824
373,669
344,902
396,7
398,911
366,009
392,484
Dataseries Y:
Download CSV
Histogram 
28,235
29,801
37,222
28,402
30,54
34,35
28,713
26,181
36,015
35,501
37,376
35,38
33,302
32,035
40,569
36,255
36,291
43,483
30,551
30,658
40,05
38,603
35,466
34,914
37,98
37,173
43,808
35,656
38,111
43,901
32,528
32,882
38,607
38,075
38,009
34,615
38,052
36,941
43,094
38,676
43,196
43,4
43,133
34,862
38,572
45,347
40,38
36,841
42,746
43,523
46,847
45,618
45,013
52,942
48,958
43,816
52,544
49,985
43,597
48,348

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17582&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=17582&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17582&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean352.13591666666738.6278166666667
Biased Variance932.07318194305536.7893082497222
Biased Standard Deviation30.52987359854376.06541904980375
Covariance138.983190035311
Correlation0.738035444961766
Determination0.544696318019911
T-Test8.32991625754857
p-value (2 sided)1.71851421981728e-11
p-value (1 sided)8.5925710990864e-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 & 352.135916666667 & 38.6278166666667 \tabularnewline
Biased Variance & 932.073181943055 & 36.7893082497222 \tabularnewline
Biased Standard Deviation & 30.5298735985437 & 6.06541904980375 \tabularnewline
Covariance & 138.983190035311 \tabularnewline
Correlation & 0.738035444961766 \tabularnewline
Determination & 0.544696318019911 \tabularnewline
T-Test & 8.32991625754857 \tabularnewline
p-value (2 sided) & 1.71851421981728e-11 \tabularnewline
p-value (1 sided) & 8.5925710990864e-12 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17582&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]352.135916666667[/C][C]38.6278166666667[/C][/ROW]
[ROW][C]Biased Variance[/C][C]932.073181943055[/C][C]36.7893082497222[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]30.5298735985437[/C][C]6.06541904980375[/C][/ROW]
[ROW][C]Covariance[/C][C]138.983190035311[/C][/ROW]
[ROW][C]Correlation[/C][C]0.738035444961766[/C][/ROW]
[ROW][C]Determination[/C][C]0.544696318019911[/C][/ROW]
[ROW][C]T-Test[/C][C]8.32991625754857[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]1.71851421981728e-11[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]8.5925710990864e-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=17582&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17582&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
Mean352.13591666666738.6278166666667
Biased Variance932.07318194305536.7893082497222
Biased Standard Deviation30.52987359854376.06541904980375
Covariance138.983190035311
Correlation0.738035444961766
Determination0.544696318019911
T-Test8.32991625754857
p-value (2 sided)1.71851421981728e-11
p-value (1 sided)8.5925710990864e-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')