FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationThu, 13 Dec 2007 11:52:48 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Dec/13/t1197571062wchug7ipr0qbu9l.htm/, Retrieved Sun, 05 May 2024 20:30:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=3685, Retrieved Sun, 05 May 2024 20:30:26 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact168

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [verband tussen pr...] [2007-12-13 18:52:48] [d02236afd58a58d13a748bbf41a37c2e] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
21.797
22.209
28.135
29.512
26.714
30.899
27.148
24.288
26.019
24.007
18.195
17.323
19.504
23.859
28.852
30.746
26.956
31.905
25.956
24.255
25.045
22.982
19.304
18.294
20.417
21.558
27.369
28.240
27.201
31.084
25.306
24.759
24.276
20.862
19.437
15.291
22.515
22.040
28.398
26.158
25.081
28.893
26.504
22.960
23.792
20.995
19.765
14.585
20.480
21.188
27.994
27.229
28.804
29.257
26.377
24.392
16.949
22.566
18.000
16.373
Dataseries Y:
Download CSV
Histogram 
1,051500
1,073643
1,062097
1,036000
1,007548
1,010500
1,027484
1,065016
1,067783
1,050387
1,046500
1,045629
1,048177
1,058000
1,080839
1,107850
1,170403
1,157483
1,182387
1,185355
1,182800
1,216403
1,178400
1,192000
1,132645
1,176321
1,202548
1,264067
1,249500
1,288067
1,351952
1,376823
1,443117
1,390694
1,315733
1,306403
1,339935
1,321786
1,332355
1,417850
1,427758
1,431850
1,473323
1,441935
1,323783
1,281500
1,281500
1,302565
1,267161
1,286296
1,356694
1,399933
1,439306
1,439833
1,440952
1,407726
1,410214
1,436677
1,487407
1,469801

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=3685&T=0

[TABLE]
[ROW][C]Summary of compuational 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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=3685&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3685&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean24.016651.25033656666667
Biased Variance17.81176426083330.0221620308770122
Biased Standard Deviation4.220398590279520.148869173696277
Covariance-0.0640048799338982
Correlation-0.100174135086261
Determination0.0100348573402805
T-Test-0.76676034942361
p-value (2 sided)0.446333860878581
p-value (1 sided)0.223166930439290
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 24.01665 & 1.25033656666667 \tabularnewline
Biased Variance & 17.8117642608333 & 0.0221620308770122 \tabularnewline
Biased Standard Deviation & 4.22039859027952 & 0.148869173696277 \tabularnewline
Covariance & -0.0640048799338982 \tabularnewline
Correlation & -0.100174135086261 \tabularnewline
Determination & 0.0100348573402805 \tabularnewline
T-Test & -0.76676034942361 \tabularnewline
p-value (2 sided) & 0.446333860878581 \tabularnewline
p-value (1 sided) & 0.223166930439290 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=3685&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]24.01665[/C][C]1.25033656666667[/C][/ROW]
[ROW][C]Biased Variance[/C][C]17.8117642608333[/C][C]0.0221620308770122[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]4.22039859027952[/C][C]0.148869173696277[/C][/ROW]
[ROW][C]Covariance[/C][C]-0.0640048799338982[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.100174135086261[/C][/ROW]
[ROW][C]Determination[/C][C]0.0100348573402805[/C][/ROW]
[ROW][C]T-Test[/C][C]-0.76676034942361[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.446333860878581[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.223166930439290[/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=3685&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3685&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
Mean24.016651.25033656666667
Biased Variance17.81176426083330.0221620308770122
Biased Standard Deviation4.220398590279520.148869173696277
Covariance-0.0640048799338982
Correlation-0.100174135086261
Determination0.0100348573402805
T-Test-0.76676034942361
p-value (2 sided)0.446333860878581
p-value (1 sided)0.223166930439290
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')