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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 18:14:42 -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/t1224548138u0l8io323whi5n1.htm/, Retrieved Sun, 19 May 2024 18:22:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18312, Retrieved Sun, 19 May 2024 18:22:43 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact199

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] [504b73e6de93b01331326637b3288ad4]
F    D      [Pearson Correlation] [Correlatie tussen...] [2008-10-21 00:14:42] [ba85d9d0a82357dd3edf208eef933423] [Current]
Feedback Forum
2008-10-25 12:56:10 [Stijn Van de Velde] [reply] 
De negatieve correlatie van bijna 50% duid er op dat wanneer de dollar daalt, de handelsbalans zal stijgen (en omgekeerd). Dit is zoals de student zegt geen sterk verband.

De handelsbalans hangt af van zowel in- als uitvoer, en het zal er dus vanaf hangen in welke maten de invoer en uitvoer reageren op de stijgende/dalende dollar koers.

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 
3884,2
3868,9
2224,9
2091,1
2462,5
2671,5
3171,8
2481,5
2731,6
3247,5
4005,7
2416,4
3673,2
3952,1
3277
2447,2
3361,2
3235,2
3573,6
3466,9
3689,8
3593,5
4282,7
2429,6
3971,6
3773,8
3400,8
1589,8
2799,8
2960,2
3177,2
3437,1
3765,4
3775,6
4082,6
2345,8
4167,6
3583,1
3391,7
2473,5
2923,4
3162,8
3211,4
3493,3
3633,2
2843,9
3915,8
1968,2
3693,6
3701,3
3305,6
2335,2
2827,3
2723,7
3175,8
3449,7
3204,4
2765,6
3706
1941,8
3566,8
3477,8
2707,1
1519,3
1913,6
2475,7
2082,5
2604,7
3249,5
3342,3
3676
1769,7
3411,6
3162,1
3039,1
2264
2786,9
2997,4
3412
3019,4
2760,1
3445,2
2912,7
2445,8
3092,8
2679,9
1951,4
814,2
459
1451,3
791,6
949,3
849,8
1588,7

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'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 & 3 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=18312&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18312&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18312&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'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean1.166985106382982910.49468085106
Biased Variance0.0377564431824355683518.980290856
Biased Standard Deviation0.194310172616967826.75206700126
Covariance-74.2335126607184
Correlation-0.457176901016391
Determination0.209010718822951
T-Test-4.93052192019831
p-value (2 sided)3.61910490935454e-06
p-value (1 sided)1.80955245467727e-06
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 & 2910.49468085106 \tabularnewline
Biased Variance & 0.0377564431824355 & 683518.980290856 \tabularnewline
Biased Standard Deviation & 0.194310172616967 & 826.75206700126 \tabularnewline
Covariance & -74.2335126607184 \tabularnewline
Correlation & -0.457176901016391 \tabularnewline
Determination & 0.209010718822951 \tabularnewline
T-Test & -4.93052192019831 \tabularnewline
p-value (2 sided) & 3.61910490935454e-06 \tabularnewline
p-value (1 sided) & 1.80955245467727e-06 \tabularnewline
Degrees of Freedom & 92 \tabularnewline
Number of Observations & 94 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18312&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]2910.49468085106[/C][/ROW]
[ROW][C]Biased Variance[/C][C]0.0377564431824355[/C][C]683518.980290856[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]0.194310172616967[/C][C]826.75206700126[/C][/ROW]
[ROW][C]Covariance[/C][C]-74.2335126607184[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.457176901016391[/C][/ROW]
[ROW][C]Determination[/C][C]0.209010718822951[/C][/ROW]
[ROW][C]T-Test[/C][C]-4.93052192019831[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]3.61910490935454e-06[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]1.80955245467727e-06[/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=18312&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18312&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
Mean1.166985106382982910.49468085106
Biased Variance0.0377564431824355683518.980290856
Biased Standard Deviation0.194310172616967826.75206700126
Covariance-74.2335126607184
Correlation-0.457176901016391
Determination0.209010718822951
T-Test-4.93052192019831
p-value (2 sided)3.61910490935454e-06
p-value (1 sided)1.80955245467727e-06
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')