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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 computationSat, 11 Sep 2010 10:54:47 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Sep/11/t1284202523vzru4h3sxctx6bc.htm/, Retrieved Sun, 28 Apr 2024 20:18:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=79514, Retrieved Sun, 28 Apr 2024 20:18:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact254

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [Milad Victor] [2010-09-11 10:54:47] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
71
28
71
46
73
38
47
72
56
75
39
87
24
58
81
70
70
77
48
65
50
71
59
72
63
87
71
53
83
35
68
37
54
51
43
67
54
36
27
61
62
77
51
51
75
31
25
25
75
54
Dataseries Y:
Download CSV
Histogram 
1
2 
4 
3 
4 
3 
4 
2 
3
2 
2 
4 
4 
2 
3 
2 
9 
4 
1 
3 
3 
1
3 
4 
4 
2 
3 
2 
4 
2 
3 
2 
4 
1 
2 
1
2 
2 
3
3 
3 
2 
2 
3 
2 
1 
1 
2 
3 
1

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=79514&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]1 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=79514&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=79514&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 time1 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean57.282.66
Biased Variance305.56161.7844
Biased Standard Deviation17.4803203631971.33581435835972
Covariance5.99510204081633
Correlation0.251609572694179
Determination0.0633073770713475
T-Test1.80114728973496
p-value (2 sided)0.0779633835370437
p-value (1 sided)0.0389816917685218
Degrees of Freedom48
Number of Observations50

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 57.28 & 2.66 \tabularnewline
Biased Variance & 305.5616 & 1.7844 \tabularnewline
Biased Standard Deviation & 17.480320363197 & 1.33581435835972 \tabularnewline
Covariance & 5.99510204081633 \tabularnewline
Correlation & 0.251609572694179 \tabularnewline
Determination & 0.0633073770713475 \tabularnewline
T-Test & 1.80114728973496 \tabularnewline
p-value (2 sided) & 0.0779633835370437 \tabularnewline
p-value (1 sided) & 0.0389816917685218 \tabularnewline
Degrees of Freedom & 48 \tabularnewline
Number of Observations & 50 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=79514&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]57.28[/C][C]2.66[/C][/ROW]
[ROW][C]Biased Variance[/C][C]305.5616[/C][C]1.7844[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]17.480320363197[/C][C]1.33581435835972[/C][/ROW]
[ROW][C]Covariance[/C][C]5.99510204081633[/C][/ROW]
[ROW][C]Correlation[/C][C]0.251609572694179[/C][/ROW]
[ROW][C]Determination[/C][C]0.0633073770713475[/C][/ROW]
[ROW][C]T-Test[/C][C]1.80114728973496[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.0779633835370437[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.0389816917685218[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]48[/C][/ROW]
[ROW][C]Number of Observations[/C][C]50[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=79514&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=79514&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
Mean57.282.66
Biased Variance305.56161.7844
Biased Standard Deviation17.4803203631971.33581435835972
Covariance5.99510204081633
Correlation0.251609572694179
Determination0.0633073770713475
T-Test1.80114728973496
p-value (2 sided)0.0779633835370437
p-value (1 sided)0.0389816917685218
Degrees of Freedom48
Number of Observations50


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')