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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationMon, 20 Oct 2008 13:46:13 -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/t12245320521d30nyuigf3lgdo.htm/, Retrieved Wed, 29 May 2024 06:41:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18002, Retrieved Wed, 29 May 2024 06:41:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact117

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] [Pearson Correlati...] [2008-10-20 19:46:13] [e81ac192d6ae6d77191d83851a692999] [Current]
Feedback Forum
2008-10-23 14:23:25 [Gregory Van Overmeiren] [reply] 
We spreken hier van een negatieve correlatie, maw hoe meer X, hoe minder Y .
2008-10-24 12:33:56 [Kim Wester] [reply] 
Juist.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
136088
134858
135998
148719
152125
149825
145065
144940
150683
149678
148957
153314
159109
158653
158054
162421
167026
167581
169255
168718
176984
173170
169821
173700
172552
171853
171087
171508
173323
169977
171670
171645
175267
173860
174767
174839
174577
171196
178204
184869
186326
185203
189578
194721
201484
200504
210832
212925
219381
215688
222266
227621
235098
235932
243127
246454
253324
248665
251207
258043
Dataseries Y:
Download CSV
Histogram 
144029
145762
144897
141466
142904
144615
149162
148476
148599
149027
151547
153647
156787
160249
159822
160137
159085
156606
158859
159186
159303
155148
144665
146215
147123
148735
152488
150507
150954
155431
153617
154267
154800
148101
150616
149924
146449
144297
136525
131800
128760
122731
115046
110411
111372
108636
96445
95589
92048
89532
84641
78039
74693
70542
72444
71674
69822
73983
77579
78886

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=18002&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=18002&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18002&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
Mean182905.25130645
Biased Variance1053459784.95417922650495.7
Biased Standard Deviation32457.045228334730375.1624802239
Covariance-915681447.915254
Correlation-0.913308682078079
Determination0.834132748759197
T-Test-17.0785603668051
p-value (2 sided)2.68761688479669e-24
p-value (1 sided)1.34380844239834e-24
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 182905.25 & 130645 \tabularnewline
Biased Variance & 1053459784.95417 & 922650495.7 \tabularnewline
Biased Standard Deviation & 32457.0452283347 & 30375.1624802239 \tabularnewline
Covariance & -915681447.915254 \tabularnewline
Correlation & -0.913308682078079 \tabularnewline
Determination & 0.834132748759197 \tabularnewline
T-Test & -17.0785603668051 \tabularnewline
p-value (2 sided) & 2.68761688479669e-24 \tabularnewline
p-value (1 sided) & 1.34380844239834e-24 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18002&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]182905.25[/C][C]130645[/C][/ROW]
[ROW][C]Biased Variance[/C][C]1053459784.95417[/C][C]922650495.7[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]32457.0452283347[/C][C]30375.1624802239[/C][/ROW]
[ROW][C]Covariance[/C][C]-915681447.915254[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.913308682078079[/C][/ROW]
[ROW][C]Determination[/C][C]0.834132748759197[/C][/ROW]
[ROW][C]T-Test[/C][C]-17.0785603668051[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]2.68761688479669e-24[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]1.34380844239834e-24[/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=18002&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18002&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
Mean182905.25130645
Biased Variance1053459784.95417922650495.7
Biased Standard Deviation32457.045228334730375.1624802239
Covariance-915681447.915254
Correlation-0.913308682078079
Determination0.834132748759197
T-Test-17.0785603668051
p-value (2 sided)2.68761688479669e-24
p-value (1 sided)1.34380844239834e-24
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')