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R Software Module

rwasp_chi_squared_tests.wasp

Title produced by software

Chi-Squared and McNemar Tests

Date of computation

Wed, 24 Nov 2010 11:20:20 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/24/t1290598067mcv3gvsvv1z1ye5.htm/, Retrieved Wed, 19 Nov 2025 20:59:02 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=99968, Retrieved Wed, 19 Nov 2025 20:59:02 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

496

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

-     [Chi-Squared and McNemar Tests] [happ x conn] [2010-11-12 18:30:46] [9894f466352df31a128e82ec8d720241]
-    D  [Chi-Squared and McNemar Tests] [happ x depress] [2010-11-12 18:40:07] [9894f466352df31a128e82ec8d720241]
-   PD    [Chi-Squared and McNemar Tests] [] [2010-11-24 08:36:43] [07fa8844ca5618cd0482008937d9acea]
-   PD        [Chi-Squared and McNemar Tests] [] [2010-11-24 11:20:20] [ef8aba939446289dd59b403ac33ef077] [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	4 seconds
R Server	'George Udny Yule' @ 72.249.76.132

\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 & 4 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=99968&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=99968&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=99968&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	4 seconds
R Server	'George Udny Yule' @ 72.249.76.132

Tabulation of Results
learning x do
	1	2	3	4	5
2	1	1	0	0	0
3	0	4	10	16	1
4	0	13	29	64	7
5	0	0	2	7	4

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
learning  x  do \tabularnewline
  & 1 & 2 & 3 & 4 & 5 \tabularnewline
2 & 1 & 1 & 0 & 0 & 0 \tabularnewline
3 & 0 & 4 & 10 & 16 & 1 \tabularnewline
4 & 0 & 13 & 29 & 64 & 7 \tabularnewline
5 & 0 & 0 & 2 & 7 & 4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=99968&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]learning  x  do[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[C]2[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]3[/C][C]0[/C][C]4[/C][C]10[/C][C]16[/C][C]1[/C][/ROW]
[C]4[/C][C]0[/C][C]13[/C][C]29[/C][C]64[/C][C]7[/C][/ROW]
[C]5[/C][C]0[/C][C]0[/C][C]2[/C][C]7[/C][C]4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=99968&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=99968&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
learning x do
	1	2	3	4	5
2	1	1	0	0	0
3	0	4	10	16	1
4	0	13	29	64	7
5	0	0	2	7	4

Tabulation of Expected Results
learning x do
	1	2	3	4	5
2	0.01	0.23	0.52	1.09	0.15
3	0.19	3.51	7.99	16.96	2.34
4	0.71	12.79	29.14	61.83	8.53
5	0.08	1.47	3.35	7.11	0.98

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
learning  x  do \tabularnewline
  & 1 & 2 & 3 & 4 & 5 \tabularnewline
2 & 0.01 & 0.23 & 0.52 & 1.09 & 0.15 \tabularnewline
3 & 0.19 & 3.51 & 7.99 & 16.96 & 2.34 \tabularnewline
4 & 0.71 & 12.79 & 29.14 & 61.83 & 8.53 \tabularnewline
5 & 0.08 & 1.47 & 3.35 & 7.11 & 0.98 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=99968&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]learning  x  do[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[C]2[/C][C]0.01[/C][C]0.23[/C][C]0.52[/C][C]1.09[/C][C]0.15[/C][/ROW]
[C]3[/C][C]0.19[/C][C]3.51[/C][C]7.99[/C][C]16.96[/C][C]2.34[/C][/ROW]
[C]4[/C][C]0.71[/C][C]12.79[/C][C]29.14[/C][C]61.83[/C][C]8.53[/C][/ROW]
[C]5[/C][C]0.08[/C][C]1.47[/C][C]3.35[/C][C]7.11[/C][C]0.98[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=99968&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=99968&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
learning x do
	1	2	3	4	5
2	0.01	0.23	0.52	1.09	0.15
3	0.19	3.51	7.99	16.96	2.34
4	0.71	12.79	29.14	61.83	8.53
5	0.08	1.47	3.35	7.11	0.98

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Chi Square Statistic	95.96
P value	0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates) \tabularnewline
Chi Square Statistic & 95.96 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=99968&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]95.96[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=99968&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=99968&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	95.96
P value	0

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 4 ; par3 = Exact Pearson Chi-Squared by Simulation ;

Parameters (R input):

par1 = 1 ; par2 = 4 ; 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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code