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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 11:07:19 -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/t122452251507vxbpv9rpeqlm3.htm/, Retrieved Sun, 19 May 2024 13:55:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=17688, Retrieved Sun, 19 May 2024 13:55:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact107

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Pearson Correlation] [Relatie - aantal ...] [2008-10-20 17:07:19] [b4fc5040f26b33db57f84cfb8d1d2b82] [Current]
Feedback Forum
2008-10-27 10:42:23 [Thomas Beyers] [reply] 
De correlatie bedraagt hier 0,9077 wat betekent dat er een relatie tussen de twee trends is van 90,77%. Het gaat hier dus over een zeer sterke samenhang.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1671
1385
1632
1313
1300
1431
1398
1198
1292
1434
1660
1837
1455
1315
1642
1069
1209
1586
1122
1063
1125
1414
1347
1403
1299
1547
1515
1247
1639
1296
1063
1282
1365
1268
1532
1455
1393
1515
1510
1225
1577
1417
1224
1693
1633
1639
1914
1586
1552
2081
1500
1437
1470
1849
1387
1592
1589
1798
1935
1887
2027
2080
1556
1682
1785
1869
1781
2082
2570
1862
1936
1504
1765
1607
1577
1493
1615
1700
1335
1523
1621
1539
1637
1523
1418
1819
1594
1359
1261
1722
1407
1380
1642
1681
1542
1704
1431
Dataseries Y:
Download CSV
Histogram 
310301
308956
306337
300552
309661
315575
265784
260722
278629
311448
363932
362673
320253
273036
291047
239167
285034
331389
228493
205450
207203
287602
265812
262920
268006
292400
315810
269544
301433
280678
221915
263552
244831
245227
302493
280810
277643
292792
318530
276807
284524
290486
259355
383556
350488
318029
377740
293546
317460
401629
282854
275316
304680
349947
266543
329195
314626
338463
399338
339542
454688
396766
309465
365707
383677
352609
340011
425915
498938
391142
418962
342378
369674
391250
310589
335910
344448
361944
290274
327902
329809
324543
350735
320091
278048
381754
301833
318723
266695
381119
295943
266463
311750
359897
312936
339327
312658

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'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 & 2 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=17688&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=17688&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17688&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'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean1544.75257731959316353.989690722
Biased Variance64337.34084387292668572507.76278
Biased Standard Deviation253.64806493224651658.2278805882
Covariance12018749.1640893
Correlation0.907794846478267
Determination0.824091483292501
T-Test21.0962897786877
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom95
Number of Observations97

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 1544.75257731959 & 316353.989690722 \tabularnewline
Biased Variance & 64337.3408438729 & 2668572507.76278 \tabularnewline
Biased Standard Deviation & 253.648064932246 & 51658.2278805882 \tabularnewline
Covariance & 12018749.1640893 \tabularnewline
Correlation & 0.907794846478267 \tabularnewline
Determination & 0.824091483292501 \tabularnewline
T-Test & 21.0962897786877 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 95 \tabularnewline
Number of Observations & 97 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=17688&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]1544.75257731959[/C][C]316353.989690722[/C][/ROW]
[ROW][C]Biased Variance[/C][C]64337.3408438729[/C][C]2668572507.76278[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]253.648064932246[/C][C]51658.2278805882[/C][/ROW]
[ROW][C]Covariance[/C][C]12018749.1640893[/C][/ROW]
[ROW][C]Correlation[/C][C]0.907794846478267[/C][/ROW]
[ROW][C]Determination[/C][C]0.824091483292501[/C][/ROW]
[ROW][C]T-Test[/C][C]21.0962897786877[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]95[/C][/ROW]
[ROW][C]Number of Observations[/C][C]97[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=17688&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=17688&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
Mean1544.75257731959316353.989690722
Biased Variance64337.34084387292668572507.76278
Biased Standard Deviation253.64806493224651658.2278805882
Covariance12018749.1640893
Correlation0.907794846478267
Determination0.824091483292501
T-Test21.0962897786877
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom95
Number of Observations97


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')