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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_chi_squared_tests.wasp
Title produced by softwareChi-Squared Test, McNemar Test, and Fisher Exact Test
Date of computationFri, 21 Dec 2012 15:49:50 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Dec/21/t1356123011c8mvdzgbamqh6a8.htm/, Retrieved Fri, 01 Nov 2024 00:05:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=204271, Retrieved Fri, 01 Nov 2024 00:05:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact172

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Chi-Squared and McNemar Tests] [] [2010-11-16 14:33:59] [b98453cac15ba1066b407e146608df68]
- R     [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2012-12-16 18:30:26] [147786ccb76fa00e429d4b9f5f28b291]
-   PD    [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2012-12-20 17:31:09] [74be16979710d4c4e7c6647856088456]
-   PD      [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2012-12-20 21:54:12] [147786ccb76fa00e429d4b9f5f28b291]
-    D        [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2012-12-21 00:12:50] [147786ccb76fa00e429d4b9f5f28b291]
-   P             [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2012-12-21 20:49:50] [26ce3afa84a4087bb435ca409d5552c3] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1	'4T'
1	'4NT'
1	'4NT'
1	'4NT'
1	'4NT'
1	'4NT'
1	'4NT'
1	'4T'
1	'4NT'
1	'4NT'
1	'4T'
1	'4NT'
1	'4NT'
1	'4T'
1	'4NT'
1	'4T'
2	'4T'
1	'4T'
1	'4NT'
2	'4T'
1	'4NT'
1	'4NT'
1	'4NT'
1	'4NT'
1	'4T'
1	'4NT'
1	'4NT'
1	'4NT'
1	'4NT'
1	'4NT'
1	'4NT'
1	'4NT'
1	'4NT'
1	'4T'
1	'4NT'
1	'4NT'
1	'4T'
1	'4NT'
1	'4NT'
1	'4T'
2	'4NT'
1	'4NT'
1	'4NT'
1	'4T'
1	'4NT'
1	'4NT'
1	'4NT'
1	'4NT'
1	'4NT'
1	'4NT'
1	'4T'
2	'4T'
1	'4NT'
2	'4NT'
1	'4NT'
1	'4T'
1	'4NT'
1	'4NT'
1	'4NT'
2	'4T'
1	'4T'
1	'4NT'
1	'4NT'
1	'4T'
1	'4NT'
1	'4NT'
2	'4T'
1	'4NT'
1	'4NT'
1	'4NT'
1	'4NT'
1	'4NT'
1	'4NT'
1	'4NT'
1	'4NT'
1	'4T'
1	'4NT'
1	'4NT'
2	'4T'
1	'4T'
1	'4NT'
1	'4NT'
1	'4NT'
2	'4NT'
1	'4NT'
1	'4NT'
1	'2NT'
1	'2T'
1	'2NT'
1	'2NT'
1	'2NT'
1	'2T'
1	'2NT'
1	'2NT'
1	'2T'
1	'2NT'
1	'2T'
1	'2NT'
1	'2NT'
1	'2NT'
1	'2NT'
1	'2NT'
1	'2NT'
1	'2NT'
1	'2T'
1	'2NT'
1	'2NT'
1	'2T'
1	'2NT'
1	'2NT'
1	'2T'
1	'2T'
1	'2NT'
1	'2T'
1	'2NT'
1	'2NT'
1	'2NT'
1	'2NT'
1	'2NT'
1	'2NT'
1	'2NT'
1	'2NT'
1	'2T'
1	'2NT'
1	'2NT'
1	'2T'
1	'2NT'
1	'2NT'
1	'2NT'
1	'2NT'
1	'2NT'
1	'2NT'
1	'2NT'
1	'2NT'
1	'2NT'
1	'2NT'
1	'2NT'
1	'2T'
1	'2T'
1	'2NT'
2	'2NT'
1	'2T'
1	'2NT'
1	'2NT'
1	'2NT'
1	'2T'
1	'2T'
1	'2T'
1	'2NT'
1	'2NT'
1	'2NT'
2	'2NT'
2	'2NT'
1	'2NT'

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' @ fisher.wessa.net

\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' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=204271&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' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=204271&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=204271&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' @ fisher.wessa.net






Tabulation of Results
x x y
2NT2T4NT4T
148176017
23036

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
x  x  y \tabularnewline
  & 2NT & 2T & 4NT & 4T \tabularnewline
1 & 48 & 17 & 60 & 17 \tabularnewline
2 & 3 & 0 & 3 & 6 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=204271&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]x  x  y[/C][/ROW]
[ROW][C] [/C][C]2NT[/C][C]2T[/C][C]4NT[/C][C]4T[/C][/ROW]
[C]1[/C][C]48[/C][C]17[/C][C]60[/C][C]17[/C][/ROW]
[C]2[/C][C]3[/C][C]0[/C][C]3[/C][C]6[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=204271&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=204271&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:

Tabulation of Results
x x y
2NT2T4NT4T
148176017
23036






Tabulation of Expected Results
x x y
2NT2T4NT4T
147.0315.6858.0921.21
23.971.324.911.79

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
x  x  y \tabularnewline
  & 2NT & 2T & 4NT & 4T \tabularnewline
1 & 47.03 & 15.68 & 58.09 & 21.21 \tabularnewline
2 & 3.97 & 1.32 & 4.91 & 1.79 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=204271&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]x  x  y[/C][/ROW]
[ROW][C] [/C][C]2NT[/C][C]2T[/C][C]4NT[/C][C]4T[/C][/ROW]
[C]1[/C][C]47.03[/C][C]15.68[/C][C]58.09[/C][C]21.21[/C][/ROW]
[C]2[/C][C]3.97[/C][C]1.32[/C][C]4.91[/C][C]1.79[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=204271&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=204271&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Tabulation of Expected Results
x x y
2NT2T4NT4T
147.0315.6858.0921.21
23.971.324.911.79






Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Chi Square Statistic13.21
P value0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates) \tabularnewline
Chi Square Statistic & 13.21 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=204271&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates)[/C][/ROW]
[ROW][C]Chi Square Statistic[/C][C]13.21[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=204271&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=204271&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Chi Square Statistic13.21
P value0


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = Pearson Chi-Squared ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = Exact Pearson Chi-Squared by Simulation ;
R code (references can be found in the software module):
library(vcd)
cat1 <- as.numeric(par1) #
cat2<- as.numeric(par2) #
simulate.p.value=FALSE
if (par3 == 'Exact Pearson Chi-Squared by Simulation') simulate.p.value=TRUE
x <- t(x)
(z <- array(unlist(x),dim=c(length(x[,1]),length(x[1,]))))
(table1 <- table(z[,cat1],z[,cat2]))
(V1<-dimnames(y)[[1]][cat1])
(V2<-dimnames(y)[[1]][cat2])
bitmap(file='pic1.png')
assoc(ftable(z[,cat1],z[,cat2],row.vars=1,dnn=c(V1,V2)),shade=T)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Tabulation of Results',ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste(V1,' x ', V2),ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ', 1,TRUE)
for(nc in 1:ncol(table1)){
a<-table.element(a, colnames(table1)[nc], 1, TRUE)
}
a<-table.row.end(a)
for(nr in 1:nrow(table1) ){
a<-table.element(a, rownames(table1)[nr], 1, TRUE)
for(nc in 1:ncol(table1) ){
a<-table.element(a, table1[nr, nc], 1, FALSE)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
(cst<-chisq.test(table1, simulate.p.value=simulate.p.value) )
if (par3 == 'McNemar Chi-Squared') {
(cst <- mcnemar.test(table1))
}
if (par3 != 'McNemar Chi-Squared') {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Tabulation of Expected Results',ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste(V1,' x ', V2),ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ', 1,TRUE)
for(nc in 1:ncol(table1)){
a<-table.element(a, colnames(table1)[nc], 1, TRUE)
}
a<-table.row.end(a)
for(nr in 1:nrow(table1) ){
a<-table.element(a, rownames(table1)[nr], 1, TRUE)
for(nc in 1:ncol(table1) ){
a<-table.element(a, round(cst$expected[nr, nc], digits=2), 1, FALSE)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
}
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Statistical Results',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, cst$method, 2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Chi Square Statistic', 1, TRUE)
a<-table.element(a, round(cst$statistic, digits=2), 1,FALSE)
a<-table.row.end(a)
if(!simulate.p.value){
a<-table.row.start(a)
a<-table.element(a, 'Degrees of Freedom', 1, TRUE)
a<-table.element(a, cst$parameter, 1,FALSE)
a<-table.row.end(a)
}
a<-table.row.start(a)
a<-table.element(a, 'P value', 1, TRUE)
a<-table.element(a, round(cst$p.value, digits=2), 1,FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')