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R Software Module

rwasp_chi_squared_tests.wasp

Title produced by software

Chi-Squared and McNemar Tests

Date of computation

Fri, 26 Nov 2010 13:24:51 +0000

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Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/26/t1290777815v1ansgpqiv40pam.htm/, Retrieved Fri, 03 May 2024 15:49:36 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=101849, Retrieved Fri, 03 May 2024 15:49:36 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

132

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Chi-Squared and McNemar Tests] [mini tutorial wor...] [2010-11-26 13:24:51] [aedc5b8e4f26bdca34b1a0cf88d6dfa2] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=101849&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=101849&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101849&T=0

As an alternative you can also use a QR Code:

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Tabulation of Results
A x B
	1	2	3	4	5
1	0	0	0	0	1
2	0	2	4	7	2
3	1	3	5	6	0
4	0	6	20	62	17
5	0	0	4	10	12

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
A  x  B \tabularnewline
  & 1 & 2 & 3 & 4 & 5 \tabularnewline
1 & 0 & 0 & 0 & 0 & 1 \tabularnewline
2 & 0 & 2 & 4 & 7 & 2 \tabularnewline
3 & 1 & 3 & 5 & 6 & 0 \tabularnewline
4 & 0 & 6 & 20 & 62 & 17 \tabularnewline
5 & 0 & 0 & 4 & 10 & 12 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=101849&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]A  x  B[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][/ROW]
[C]2[/C][C]0[/C][C]2[/C][C]4[/C][C]7[/C][C]2[/C][/ROW]
[C]3[/C][C]1[/C][C]3[/C][C]5[/C][C]6[/C][C]0[/C][/ROW]
[C]4[/C][C]0[/C][C]6[/C][C]20[/C][C]62[/C][C]17[/C][/ROW]
[C]5[/C][C]0[/C][C]0[/C][C]4[/C][C]10[/C][C]12[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=101849&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101849&T=1

As an alternative you can also use a QR Code:

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

Tabulation of Results
A x B
	1	2	3	4	5
1	0	0	0	0	1
2	0	2	4	7	2
3	1	3	5	6	0
4	0	6	20	62	17
5	0	0	4	10	12

Tabulation of Expected Results
A x B
	1	2	3	4	5
1	0.01	0.07	0.2	0.52	0.2
2	0.09	1.02	3.06	7.87	2.96
3	0.09	1.02	3.06	7.87	2.96
4	0.65	7.13	21.39	55.09	20.74
5	0.16	1.77	5.3	13.64	5.14

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
A  x  B \tabularnewline
  & 1 & 2 & 3 & 4 & 5 \tabularnewline
1 & 0.01 & 0.07 & 0.2 & 0.52 & 0.2 \tabularnewline
2 & 0.09 & 1.02 & 3.06 & 7.87 & 2.96 \tabularnewline
3 & 0.09 & 1.02 & 3.06 & 7.87 & 2.96 \tabularnewline
4 & 0.65 & 7.13 & 21.39 & 55.09 & 20.74 \tabularnewline
5 & 0.16 & 1.77 & 5.3 & 13.64 & 5.14 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=101849&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]A  x  B[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[C]1[/C][C]0.01[/C][C]0.07[/C][C]0.2[/C][C]0.52[/C][C]0.2[/C][/ROW]
[C]2[/C][C]0.09[/C][C]1.02[/C][C]3.06[/C][C]7.87[/C][C]2.96[/C][/ROW]
[C]3[/C][C]0.09[/C][C]1.02[/C][C]3.06[/C][C]7.87[/C][C]2.96[/C][/ROW]
[C]4[/C][C]0.65[/C][C]7.13[/C][C]21.39[/C][C]55.09[/C][C]20.74[/C][/ROW]
[C]5[/C][C]0.16[/C][C]1.77[/C][C]5.3[/C][C]13.64[/C][C]5.14[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=101849&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101849&T=2

As an alternative you can also use a QR Code:

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

Tabulation of Expected Results
A x B
	1	2	3	4	5
1	0.01	0.07	0.2	0.52	0.2
2	0.09	1.02	3.06	7.87	2.96
3	0.09	1.02	3.06	7.87	2.96
4	0.65	7.13	21.39	55.09	20.74
5	0.16	1.77	5.3	13.64	5.14

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Chi Square Statistic	38.04
P value	0.01

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates) \tabularnewline
Chi Square Statistic & 38.04 \tabularnewline
P value & 0.01 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=101849&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]38.04[/C][/ROW]
[ROW][C]P value[/C][C]0.01[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=101849&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101849&T=3

As an alternative you can also use a 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 Statistic	38.04
P value	0.01

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 2 ; par3 = Exact Pearson Chi-Squared by Simulation ;

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')

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Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code