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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 computationMon, 04 Oct 2010 07:34:27 +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/Oct/04/t1286177596qys31fvplos78yi.htm/, Retrieved Sun, 28 Apr 2024 13:54:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=80426, Retrieved Sun, 28 Apr 2024 13:54:58 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact766

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] [Connected vs Sepa...] [2010-10-04 07:34:27] [d76b387543b13b5e3afd8ff9e5fdc89f] [Current]
F         [Pearson Correlation] [Connected vs Sepa...] [2010-10-08 13:59:04] [aeb27d5c05332f2e597ad139ee63fbe4]
-         [Pearson Correlation] [] [2010-10-11 10:38:30] [033eb2749a430605d9b2be7c4aac4a0c]
F         [Pearson Correlation] [Task 8a] [2010-10-11 23:38:33] [48146708a479232c43a8f6e52fbf83b4]
- R P     [Pearson Correlation] [Task 8] [2011-10-07 14:23:07] [088a244c534fec2347300624359db3c1]
- R       [Pearson Correlation] [] [2011-10-08 21:37:53] [a9a952c1cbc7081c25fad93a34aab827]
- R       [Pearson Correlation] [Task 8 a] [2011-10-09 12:49:45] [1321c14511baa35aebbc5dda661708fe]
- R       [Pearson Correlation] [] [2011-10-10 16:57:11] [aefb5c2d4042694c5b6b82f93ac1885a]
- R       [Pearson Correlation] [task 8] [2011-10-11 08:48:50] [379dab8110dbf77cfcc4b7951c3a599f]
- R       [Pearson Correlation] [task 8] [2011-10-11 08:48:50] [379dab8110dbf77cfcc4b7951c3a599f]
- RM      [Pearson Correlation] [ws 2 - task 8] [2011-10-11 09:14:15] [7e261c986c934df955dd3ac53e9d45c6]
- R       [Pearson Correlation] [WS1-8 ] [2011-10-11 10:14:23] [2c786c21adba4dd4c8af44dce5258f06]
- R       [Pearson Correlation] [] [2011-10-11 13:19:49] [ad2d4c5ace9fa07b356a7b5098237581]
- RM      [Pearson Correlation] [] [2011-10-11 13:21:22] [ad2d4c5ace9fa07b356a7b5098237581]
- R       [Pearson Correlation] [Task 8] [2011-10-11 14:50:23] [80bca13c5f9401fbb753952fd2952f4a]
- R P     [Pearson Correlation] [] [2011-10-11 15:53:03] [a1957df0bc37aec4aa3c994e6a08412c]
- R       [Pearson Correlation] [Workshop 2 - Task 9] [2011-10-11 16:07:29] [620e5553455d245695b6e856984b13e0]
- RM      [Pearson Correlation] [Workshop 2 Task 8.1] [2011-10-11 17:03:51] [59e9c089bdd600b584669dddc48fbcc3]
- RM      [Pearson Correlation] [] [2011-10-11 17:22:53] [e21b9c93af4eb9605ecfaf58a559e5ab]
- RM      [Pearson Correlation] [Task 8.1] [2011-10-11 20:04:09] [e51846b5e808727784baa8d5c183dcd5]
- R PD    [Pearson Correlation] [] [2011-11-15 11:51:55] [18e0b15711387f6270134133fa101957]
- R  D    [Pearson Correlation] [Paper Deel 1 Scat...] [2011-12-21 15:07:30] [8501ca4b76170905b8a207a77f626994]
- RM      [Pearson Correlation] [Connected vs Sepa...] [2011-12-22 15:13:52] [1321c14511baa35aebbc5dda661708fe]
- RMP     [Pearson Correlation] [Workshop - Task 8] [2012-10-05 10:32:14] [37f59b7a972c225c3d32d27fed432050]
- RMP     [Pearson Correlation] [Workshop 2 - Task 8] [2012-10-05 10:44:30] [37f59b7a972c225c3d32d27fed432050]
- RM      [Pearson Correlation] [WS2 - taak 8] [2012-10-05 11:39:15] [8ce6c7315af51b5eb6923c5fe455d382]
- RM      [Pearson Correlation] [WS2 - Task8] [2012-10-05 13:47:15] [0604709baf8ca89a71bc0fcadc3cdffd]
- RM      [Pearson Correlation] [Task 7 workshop 2...] [2012-10-06 11:31:27] [8c30f4dd45e15fd207e4faf2fdf6253e]
- RM      [Pearson Correlation] [Task 8 workshop 2...] [2012-10-06 11:32:04] [8c30f4dd45e15fd207e4faf2fdf6253e]
- R       [Pearson Correlation] [scatterplot - taak 8] [2012-10-06 12:49:20] [677a26acc722ccb2eb1c0d7cc83e1e7a]
- R       [Pearson Correlation] [Task 8.1] [2012-10-06 12:56:40] [9d6050326bbbd058eed49c2dec5f39c1]
- RM      [Pearson Correlation] [Task 8] [2012-10-07 18:17:37] [783d8509970888a6ec44a5a7a0d2a339]
- RM      [Pearson Correlation] [Task 8 Computation] [2012-10-08 10:13:04] [ed906dce46ddef36a6228cf206971146]
- RM      [Pearson Correlation] [Task 8 Computatio...] [2012-10-08 10:24:26] [ed906dce46ddef36a6228cf206971146]
- R       [Pearson Correlation] [Task 8] [2012-10-08 14:54:50] [f8da7216ca6ab56f40bda6dd57b36742]
- R       [Pearson Correlation] [Taak 8] [2012-10-08 20:38:28] [c5e00e3d2459b4cd6380f7873395bbc5]
- R       [Pearson Correlation] [WS2 task 8a] [2012-10-09 07:53:00] [d31c851fa7fbee45412c0a7bcdad10e5]
- RM      [Pearson Correlation] [Taak 7: ws2] [2012-10-09 09:27:08] [73586a5ad7cb70bd9d8f219d68ef24b6]
- RM      [Pearson Correlation] [workshop 2: task 8 a] [2012-10-09 16:25:05] [dbae308bdff61c0f4902cc85498d0d35]
- R       [Pearson Correlation] [vraag 8] [2012-10-09 17:14:44] [5971e03025aa6333f85f7b726952428d]
- R       [Pearson Correlation] [Workshop 2: Task ...] [2012-10-09 17:28:37] [318be0e97d03618d227a3f8f0242bca0]
- RM      [Pearson Correlation] [Workshop 2 Taak 8] [2012-10-09 17:33:11] [05f184ff1dd8ec5f8655ec5b10c677e2]
- R P     [Pearson Correlation] [Workshop 2 – Pr...] [2012-10-09 18:21:47] [b8fff3381cd5ab6dded5825409053f97]
- R       [Pearson Correlation] [workshop 2 taak 8...] [2012-10-09 21:50:24] [081ff4808467d7c84e980fa7f896f721]
- RM      [Pearson Correlation] [Pearson correlation] [2012-12-09 16:54:07] [c85dbc843174c8f40de92b1c92b5205a]
- RM      [Pearson Correlation] [Paper] [2012-12-11 11:16:06] [0883bf8f4217d775edf6393676d58a73]
- R       [Pearson Correlation] [Paper - Pearson ] [2012-12-12 20:06:23] [7dcdf88f8d4909016d1a598b3c226ce5]
- RM      [Pearson Correlation] [Workshop 2 - Task 8] [2013-10-15 12:37:43] [fc82b8c760ed89156a53b254f8e95ae0]
- RM      [Pearson Correlation] [] [2013-10-15 20:08:38] [67894a4ff6098ffac356bc81e6028257]

[Truncated]
Feedback Forum
2010-10-13 16:35:00 [Pascal Wijnen] [reply] 
De student komt hier tot de conclusie dat er totaal geen relatie bestaat tussen de 2 grafieken. Iets waar ik niet mee akkoord ga! Er is zeker een positieve relatie, echter niet zeer groot, daar de punten vrij ver van elkaar liggen.
2010-10-17 09:08:42 [201022de16daa1dc0c172603d7d3cd57] [reply] 
Er is hier duidelijk ook een correlatie te bemerken tussen beide gegevens. Ze zijn meer verdeeld en we kunnen zelfs 2 hotspots opmerken. Ook hier is de keuze weer persoonlijke voorkeur.

Post a new message

Dataset

Dataseries X:
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Histogram
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Dataseries Y:
Download CSV
Histogram 
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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=80426&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=80426&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=80426&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
Mean34.981818181818234.1
Biased Variance10.545123966942111.1990909090909
Biased Standard Deviation3.247325663825873.34650428194719
Covariance3.78165137614679
Correlation0.344824466097388
Determination0.118903912419348
T-Test3.81766937230013
p-value (2 sided)0.000225093161541068
p-value (1 sided)0.000112546580770534
Degrees of Freedom108
Number of Observations110

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 34.9818181818182 & 34.1 \tabularnewline
Biased Variance & 10.5451239669421 & 11.1990909090909 \tabularnewline
Biased Standard Deviation & 3.24732566382587 & 3.34650428194719 \tabularnewline
Covariance & 3.78165137614679 \tabularnewline
Correlation & 0.344824466097388 \tabularnewline
Determination & 0.118903912419348 \tabularnewline
T-Test & 3.81766937230013 \tabularnewline
p-value (2 sided) & 0.000225093161541068 \tabularnewline
p-value (1 sided) & 0.000112546580770534 \tabularnewline
Degrees of Freedom & 108 \tabularnewline
Number of Observations & 110 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=80426&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]34.9818181818182[/C][C]34.1[/C][/ROW]
[ROW][C]Biased Variance[/C][C]10.5451239669421[/C][C]11.1990909090909[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]3.24732566382587[/C][C]3.34650428194719[/C][/ROW]
[ROW][C]Covariance[/C][C]3.78165137614679[/C][/ROW]
[ROW][C]Correlation[/C][C]0.344824466097388[/C][/ROW]
[ROW][C]Determination[/C][C]0.118903912419348[/C][/ROW]
[ROW][C]T-Test[/C][C]3.81766937230013[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.000225093161541068[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.000112546580770534[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]108[/C][/ROW]
[ROW][C]Number of Observations[/C][C]110[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=80426&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=80426&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
Mean34.981818181818234.1
Biased Variance10.545123966942111.1990909090909
Biased Standard Deviation3.247325663825873.34650428194719
Covariance3.78165137614679
Correlation0.344824466097388
Determination0.118903912419348
T-Test3.81766937230013
p-value (2 sided)0.000225093161541068
p-value (1 sided)0.000112546580770534
Degrees of Freedom108
Number of Observations110


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')