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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 computationThu, 06 Nov 2008 05:51:16 -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/2008/Nov/06/t1225975931itzjzuesfut5w5l.htm/, Retrieved Sun, 19 May 2024 07:11:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=22079, Retrieved Sun, 19 May 2024 07:11:02 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact146

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] [Q3 Clothing produ...] [2007-10-20 14:22:11] [b731da8b544846036771bbf9bf2f34ce]
-    D  [Pearson Correlation] [correlatie RNR & ...] [2008-11-06 12:46:25] [5262baed313b307078ce11eb68e9efe6]
-    D      [Pearson Correlation] [correlatie RNR & RCF] [2008-11-06 12:51:16] [5bd06487453d0eec7a1bf04bf9f25085] [Current]
-    D        [Pearson Correlation] [correlatie RNR & ...] [2008-11-06 12:55:21] [5262baed313b307078ce11eb68e9efe6]
-    D        [Pearson Correlation] [correlatie RNR & ...] [2008-11-06 13:05:34] [5262baed313b307078ce11eb68e9efe6]
-    D          [Pearson Correlation] [correlatie RNR & ...] [2008-11-06 13:09:22] [5262baed313b307078ce11eb68e9efe6]
- RM D          [Star Plot] [Q2: Starplot] [2008-11-06 15:09:04] [5262baed313b307078ce11eb68e9efe6]
- RM D            [Notched Boxplots] [Q3: Taak 2] [2008-11-06 17:15:12] [5262baed313b307078ce11eb68e9efe6]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
20,8
17,1
22,3
25,1
27,7
24,9
29,5
Dataseries Y:
Download CSV
Histogram 
4.2
2.6
3
3.8
4
3.5
4.1

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=22079&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=22079&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=22079&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
Mean23.91428571428573.6
Biased Variance15.23551020408160.311428571428571
Biased Standard Deviation3.903269168797050.55805785670356
Covariance1.72666666666667
Correlation0.679444499947686
Determination0.461644828509161
T-Test2.07063974068029
p-value (2 sided)0.093163819997057
p-value (1 sided)0.0465819099985285
Degrees of Freedom5
Number of Observations7

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 23.9142857142857 & 3.6 \tabularnewline
Biased Variance & 15.2355102040816 & 0.311428571428571 \tabularnewline
Biased Standard Deviation & 3.90326916879705 & 0.55805785670356 \tabularnewline
Covariance & 1.72666666666667 \tabularnewline
Correlation & 0.679444499947686 \tabularnewline
Determination & 0.461644828509161 \tabularnewline
T-Test & 2.07063974068029 \tabularnewline
p-value (2 sided) & 0.093163819997057 \tabularnewline
p-value (1 sided) & 0.0465819099985285 \tabularnewline
Degrees of Freedom & 5 \tabularnewline
Number of Observations & 7 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=22079&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]23.9142857142857[/C][C]3.6[/C][/ROW]
[ROW][C]Biased Variance[/C][C]15.2355102040816[/C][C]0.311428571428571[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]3.90326916879705[/C][C]0.55805785670356[/C][/ROW]
[ROW][C]Covariance[/C][C]1.72666666666667[/C][/ROW]
[ROW][C]Correlation[/C][C]0.679444499947686[/C][/ROW]
[ROW][C]Determination[/C][C]0.461644828509161[/C][/ROW]
[ROW][C]T-Test[/C][C]2.07063974068029[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.093163819997057[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.0465819099985285[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]5[/C][/ROW]
[ROW][C]Number of Observations[/C][C]7[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=22079&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=22079&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
Mean23.91428571428573.6
Biased Variance15.23551020408160.311428571428571
Biased Standard Deviation3.903269168797050.55805785670356
Covariance1.72666666666667
Correlation0.679444499947686
Determination0.461644828509161
T-Test2.07063974068029
p-value (2 sided)0.093163819997057
p-value (1 sided)0.0465819099985285
Degrees of Freedom5
Number of Observations7


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')