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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 13:57:06 -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/t1224532679gimm13x7kmvc25x.htm/, Retrieved Sun, 19 May 2024 16:11:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18025, Retrieved Sun, 19 May 2024 16:11:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact112

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] [Vergelijking kolo...] [2008-10-20 19:57:06] [e81ac192d6ae6d77191d83851a692999] [Current]
Feedback Forum
2008-10-24 12:35:34 [Kim Wester] [reply] 
Juist.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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
Dataseries Y:
Download CSV
Histogram 
88022
90989
91800
91299
90999
89611
89255
87170
91543
93107
94871
96720
94730
96473
103961
114924
130234
132124
122798
137960
154149
153911
159344
160530
158765
163133
169457
175245
170483
158194
156698
153452
159164
149266
133908
130532
113533
94999
86968
84750
96044
100640
97452
103293
110142
112616
117849
133307
144430
160447
156074
172035
168975
180833
192523
201133
209959
206048
204828
188637

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=18025&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=18025&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18025&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
Mean130645132872.266666667
Biased Variance922650495.71371425087.96222
Biased Standard Deviation30375.162480223937032.7569587011
Covariance-590884545.288136
Correlation-0.516533790850883
Determination0.266807157090784
T-Test-4.59413365724903
p-value (2 sided)2.39068533454447e-05
p-value (1 sided)1.19534266727223e-05
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 130645 & 132872.266666667 \tabularnewline
Biased Variance & 922650495.7 & 1371425087.96222 \tabularnewline
Biased Standard Deviation & 30375.1624802239 & 37032.7569587011 \tabularnewline
Covariance & -590884545.288136 \tabularnewline
Correlation & -0.516533790850883 \tabularnewline
Determination & 0.266807157090784 \tabularnewline
T-Test & -4.59413365724903 \tabularnewline
p-value (2 sided) & 2.39068533454447e-05 \tabularnewline
p-value (1 sided) & 1.19534266727223e-05 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18025&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]130645[/C][C]132872.266666667[/C][/ROW]
[ROW][C]Biased Variance[/C][C]922650495.7[/C][C]1371425087.96222[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]30375.1624802239[/C][C]37032.7569587011[/C][/ROW]
[ROW][C]Covariance[/C][C]-590884545.288136[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.516533790850883[/C][/ROW]
[ROW][C]Determination[/C][C]0.266807157090784[/C][/ROW]
[ROW][C]T-Test[/C][C]-4.59413365724903[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]2.39068533454447e-05[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]1.19534266727223e-05[/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=18025&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18025&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
Mean130645132872.266666667
Biased Variance922650495.71371425087.96222
Biased Standard Deviation30375.162480223937032.7569587011
Covariance-590884545.288136
Correlation-0.516533790850883
Determination0.266807157090784
T-Test-4.59413365724903
p-value (2 sided)2.39068533454447e-05
p-value (1 sided)1.19534266727223e-05
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')