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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 18:01:19 -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/21/t122454735262y520qz72vyfc4.htm/, Retrieved Sun, 19 May 2024 20:28:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18310, Retrieved Sun, 19 May 2024 20:28:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact186

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 tussen...] [2008-10-21 00:01:19] [ba85d9d0a82357dd3edf208eef933423] [Current]
F    D      [Pearson Correlation] [Correlatie tussen...] [2008-10-21 00:07:07] [504b73e6de93b01331326637b3288ad4]
F    D      [Pearson Correlation] [Correlatie tussen...] [2008-10-21 00:14:42] [504b73e6de93b01331326637b3288ad4]
F    D      [Pearson Correlation] [Correlatie tussen...] [2008-10-21 00:32:08] [504b73e6de93b01331326637b3288ad4]
- RM D        [Kendall tau Correlation Matrix] [Kendall Tau] [2008-12-21 16:21:29] [504b73e6de93b01331326637b3288ad4]
- RM D        [Kendall tau Correlation Matrix] [Kendall Tau] [2008-12-21 16:24:43] [504b73e6de93b01331326637b3288ad4]
-    D          [Kendall tau Correlation Matrix] [Kendall Tau na di...] [2008-12-22 02:08:59] [504b73e6de93b01331326637b3288ad4]
-    D          [Kendall tau Correlation Matrix] [Kendall Tau na di...] [2008-12-22 02:16:19] [504b73e6de93b01331326637b3288ad4]
-    D        [Pearson Correlation] [Pearsons - invoer...] [2008-12-21 16:47:00] [504b73e6de93b01331326637b3288ad4]
-    D          [Pearson Correlation] [Pearsons - Uitvoe...] [2008-12-21 16:53:10] [504b73e6de93b01331326637b3288ad4]
- RM D          [Partial Correlation] [Partial Correlati...] [2008-12-21 17:25:58] [504b73e6de93b01331326637b3288ad4]
Feedback Forum
2008-10-25 12:41:27 [Stijn Van de Velde] [reply] 
Er is inderdaad een zeer sterke positieve correlatie van bijna 80%. Dit is een logisch resultaat, omdat men maar zal invoeren wanneer dat goedkoper is dan de goederen hier aan te kopen. Hoe duurder de dollar, en dus ook de goederen, hoe minder men dus zal invoeren. Deze grafiek toont dat duidelijk aan.
  2008-10-25 12:46:34 [Stijn Van de Velde] [reply] 
Ik had de resultaten even verkeerd geïnterpreteerd. De reden dat er een positieve correlatie is heeft waarschijnlijk te maken met het feit dat de waarde van de invoer zal stijgen om dat men er meer voor betaald. Dus doordat de dollar duurder is zal ook de waarde van de import stijgen.
2008-10-25 12:44:07 [9a34795f1f61d1513cadad9d92536ba1] [reply] 

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0,8721
0,8552
0,8564
0,8973
0,9383
0,9217
0,9095
0,892
0,8742
0,8532
0,8607
0,9005
0,9111
0,9059
0,8883
0,8924
0,8833
0,87
0,8758
0,8858
0,917
0,9554
0,9922
0,9778
0,9808
0,9811
1,0014
1,0183
1,0622
1,0773
1,0807
1,0848
1,1582
1,1663
1,1372
1,1139
1,1222
1,1692
1,1702
1,2286
1,2613
1,2646
1,2262
1,1985
1,2007
1,2138
1,2266
1,2176
1,2218
1,249
1,2991
1,3408
1,3119
1,3014
1,3201
1,2938
1,2694
1,2165
1,2037
1,2292
1,2256
1,2015
1,1786
1,1856
1,2103
1,1938
1,202
1,2271
1,277
1,265
1,2684
1,2811
1,2727
1,2611
1,2881
1,3213
1,2999
1,3074
1,3242
1,3516
1,3511
1,3419
1,3716
1,3622
1,3896
1,4227
1,4684
1,457
1,4718
1,4748
1,5527
1,575
1,5557
1,5553
Dataseries Y:
Download CSV
Histogram 
14532,2
15167
16071,1
14827,5
15082
14772,7
16083
14272,5
15223,3
14897,3
13062,6
12603,8
13629,8
14421,1
13978,3
12927,9
13429,9
13470,1
14785,8
14292
14308,8
14013
13240,9
12153,4
14289,7
15669,2
14169,5
14569,8
14469,1
14264,9
15320,9
14433,5
13691,5
14194,1
13519,2
11857,9
14616
15643,4
14077,2
14887,5
14159,9
14643
17192,5
15386,1
14287,1
17526,6
14497
14398,3
16629,6
16670,7
16614,8
16869,2
15663,9
16359,9
18447,7
16889
16505
18320,9
15052,1
15699,8
18135,3
16768,7
18883
19021
18101,9
17776,1
21489,9
17065,3
18690
18953,1
16398,9
16895,7
18553
19270
19422,1
17579,4
18637,3
18076,7
20438,6
18075,2
19563
19899,2
19227,5
17789,6
19220,8
22058,6
21230,8
19504,4
23913,1
23165,7
23574,3
25002
22603,9
23408,6

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'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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18310&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18310&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18310&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean1.1669851063829816607.7148936170
Biased Variance0.03775644318243558271998.50913988
Biased Standard Deviation0.1943101726169672876.10822277951
Covariance446.45466280485
Correlation0.790372273675286
Determination0.624688330994642
T-Test12.3745546129469
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom92
Number of Observations94

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 1.16698510638298 & 16607.7148936170 \tabularnewline
Biased Variance & 0.0377564431824355 & 8271998.50913988 \tabularnewline
Biased Standard Deviation & 0.194310172616967 & 2876.10822277951 \tabularnewline
Covariance & 446.45466280485 \tabularnewline
Correlation & 0.790372273675286 \tabularnewline
Determination & 0.624688330994642 \tabularnewline
T-Test & 12.3745546129469 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 92 \tabularnewline
Number of Observations & 94 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18310&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]1.16698510638298[/C][C]16607.7148936170[/C][/ROW]
[ROW][C]Biased Variance[/C][C]0.0377564431824355[/C][C]8271998.50913988[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]0.194310172616967[/C][C]2876.10822277951[/C][/ROW]
[ROW][C]Covariance[/C][C]446.45466280485[/C][/ROW]
[ROW][C]Correlation[/C][C]0.790372273675286[/C][/ROW]
[ROW][C]Determination[/C][C]0.624688330994642[/C][/ROW]
[ROW][C]T-Test[/C][C]12.3745546129469[/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]92[/C][/ROW]
[ROW][C]Number of Observations[/C][C]94[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18310&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18310&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
Mean1.1669851063829816607.7148936170
Biased Variance0.03775644318243558271998.50913988
Biased Standard Deviation0.1943101726169672876.10822277951
Covariance446.45466280485
Correlation0.790372273675286
Determination0.624688330994642
T-Test12.3745546129469
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom92
Number of Observations94


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')