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R Software Module

rwasp_chi_squared_tests.wasp

Title produced by software

Chi-Squared Test, McNemar Test, and Fisher Exact Test

Date of computation

Fri, 12 Dec 2014 12:36:20 +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/2014/Dec/12/t1418387799p79ck1sztgtvlfu.htm/, Retrieved Thu, 31 Oct 2024 23:04:09 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266608, Retrieved Thu, 31 Oct 2024 23:04:09 +0000

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

-       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2014-12-12 12:36:20] [d33b7eb92cfcc384850e3711242e8bfe] [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	1 seconds
R Server	'Gwilym Jenkins' @ jenkins.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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266608&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266608&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266608&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	1 seconds
R Server	'Gwilym Jenkins' @ jenkins.wessa.net

Tabulation of Results
Numeracy x Gender
	0	1
0	1	0
2	1	0
3	0	2
4	2	1
7	1	0
10	0	2
11	0	1
12	1	0
13	2	0
15	2	4
16	5	5
17	6	2
18	8	2
19	7	8
20	5	13
21	2	3
22	8	5
23	5	16
24	3	8
25	4	10
26	2	2
27	4	3
28	2	2
29	1	2
30	1	1

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Numeracy  x  Gender \tabularnewline
  & 0 & 1 \tabularnewline
0 & 1 & 0 \tabularnewline
2 & 1 & 0 \tabularnewline
3 & 0 & 2 \tabularnewline
4 & 2 & 1 \tabularnewline
7 & 1 & 0 \tabularnewline
10 & 0 & 2 \tabularnewline
11 & 0 & 1 \tabularnewline
12 & 1 & 0 \tabularnewline
13 & 2 & 0 \tabularnewline
15 & 2 & 4 \tabularnewline
16 & 5 & 5 \tabularnewline
17 & 6 & 2 \tabularnewline
18 & 8 & 2 \tabularnewline
19 & 7 & 8 \tabularnewline
20 & 5 & 13 \tabularnewline
21 & 2 & 3 \tabularnewline
22 & 8 & 5 \tabularnewline
23 & 5 & 16 \tabularnewline
24 & 3 & 8 \tabularnewline
25 & 4 & 10 \tabularnewline
26 & 2 & 2 \tabularnewline
27 & 4 & 3 \tabularnewline
28 & 2 & 2 \tabularnewline
29 & 1 & 2 \tabularnewline
30 & 1 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266608&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Numeracy  x  Gender[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]1[/C][/ROW]
[C]0[/C][C]1[/C][C]0[/C][/ROW]
[C]2[/C][C]1[/C][C]0[/C][/ROW]
[C]3[/C][C]0[/C][C]2[/C][/ROW]
[C]4[/C][C]2[/C][C]1[/C][/ROW]
[C]7[/C][C]1[/C][C]0[/C][/ROW]
[C]10[/C][C]0[/C][C]2[/C][/ROW]
[C]11[/C][C]0[/C][C]1[/C][/ROW]
[C]12[/C][C]1[/C][C]0[/C][/ROW]
[C]13[/C][C]2[/C][C]0[/C][/ROW]
[C]15[/C][C]2[/C][C]4[/C][/ROW]
[C]16[/C][C]5[/C][C]5[/C][/ROW]
[C]17[/C][C]6[/C][C]2[/C][/ROW]
[C]18[/C][C]8[/C][C]2[/C][/ROW]
[C]19[/C][C]7[/C][C]8[/C][/ROW]
[C]20[/C][C]5[/C][C]13[/C][/ROW]
[C]21[/C][C]2[/C][C]3[/C][/ROW]
[C]22[/C][C]8[/C][C]5[/C][/ROW]
[C]23[/C][C]5[/C][C]16[/C][/ROW]
[C]24[/C][C]3[/C][C]8[/C][/ROW]
[C]25[/C][C]4[/C][C]10[/C][/ROW]
[C]26[/C][C]2[/C][C]2[/C][/ROW]
[C]27[/C][C]4[/C][C]3[/C][/ROW]
[C]28[/C][C]2[/C][C]2[/C][/ROW]
[C]29[/C][C]1[/C][C]2[/C][/ROW]
[C]30[/C][C]1[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266608&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266608&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
Numeracy x Gender
	0	1
0	1	0
2	1	0
3	0	2
4	2	1
7	1	0
10	0	2
11	0	1
12	1	0
13	2	0
15	2	4
16	5	5
17	6	2
18	8	2
19	7	8
20	5	13
21	2	3
22	8	5
23	5	16
24	3	8
25	4	10
26	2	2
27	4	3
28	2	2
29	1	2
30	1	1

Tabulation of Expected Results
Numeracy x Gender
	0	1
0	0.44	0.56
2	0.44	0.56
3	0.88	1.12
4	1.33	1.67
7	0.44	0.56
10	0.88	1.12
11	0.44	0.56
12	0.44	0.56
13	0.88	1.12
15	2.65	3.35
16	4.42	5.58
17	3.54	4.46
18	4.42	5.58
19	6.64	8.36
20	7.96	10.04
21	2.21	2.79
22	5.75	7.25
23	9.29	11.71
24	4.87	6.13
25	6.19	7.81
26	1.77	2.23
27	3.1	3.9
28	1.77	2.23
29	1.33	1.67
30	0.88	1.12

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Numeracy  x  Gender \tabularnewline
  & 0 & 1 \tabularnewline
0 & 0.44 & 0.56 \tabularnewline
2 & 0.44 & 0.56 \tabularnewline
3 & 0.88 & 1.12 \tabularnewline
4 & 1.33 & 1.67 \tabularnewline
7 & 0.44 & 0.56 \tabularnewline
10 & 0.88 & 1.12 \tabularnewline
11 & 0.44 & 0.56 \tabularnewline
12 & 0.44 & 0.56 \tabularnewline
13 & 0.88 & 1.12 \tabularnewline
15 & 2.65 & 3.35 \tabularnewline
16 & 4.42 & 5.58 \tabularnewline
17 & 3.54 & 4.46 \tabularnewline
18 & 4.42 & 5.58 \tabularnewline
19 & 6.64 & 8.36 \tabularnewline
20 & 7.96 & 10.04 \tabularnewline
21 & 2.21 & 2.79 \tabularnewline
22 & 5.75 & 7.25 \tabularnewline
23 & 9.29 & 11.71 \tabularnewline
24 & 4.87 & 6.13 \tabularnewline
25 & 6.19 & 7.81 \tabularnewline
26 & 1.77 & 2.23 \tabularnewline
27 & 3.1 & 3.9 \tabularnewline
28 & 1.77 & 2.23 \tabularnewline
29 & 1.33 & 1.67 \tabularnewline
30 & 0.88 & 1.12 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266608&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Numeracy  x  Gender[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]1[/C][/ROW]
[C]0[/C][C]0.44[/C][C]0.56[/C][/ROW]
[C]2[/C][C]0.44[/C][C]0.56[/C][/ROW]
[C]3[/C][C]0.88[/C][C]1.12[/C][/ROW]
[C]4[/C][C]1.33[/C][C]1.67[/C][/ROW]
[C]7[/C][C]0.44[/C][C]0.56[/C][/ROW]
[C]10[/C][C]0.88[/C][C]1.12[/C][/ROW]
[C]11[/C][C]0.44[/C][C]0.56[/C][/ROW]
[C]12[/C][C]0.44[/C][C]0.56[/C][/ROW]
[C]13[/C][C]0.88[/C][C]1.12[/C][/ROW]
[C]15[/C][C]2.65[/C][C]3.35[/C][/ROW]
[C]16[/C][C]4.42[/C][C]5.58[/C][/ROW]
[C]17[/C][C]3.54[/C][C]4.46[/C][/ROW]
[C]18[/C][C]4.42[/C][C]5.58[/C][/ROW]
[C]19[/C][C]6.64[/C][C]8.36[/C][/ROW]
[C]20[/C][C]7.96[/C][C]10.04[/C][/ROW]
[C]21[/C][C]2.21[/C][C]2.79[/C][/ROW]
[C]22[/C][C]5.75[/C][C]7.25[/C][/ROW]
[C]23[/C][C]9.29[/C][C]11.71[/C][/ROW]
[C]24[/C][C]4.87[/C][C]6.13[/C][/ROW]
[C]25[/C][C]6.19[/C][C]7.81[/C][/ROW]
[C]26[/C][C]1.77[/C][C]2.23[/C][/ROW]
[C]27[/C][C]3.1[/C][C]3.9[/C][/ROW]
[C]28[/C][C]1.77[/C][C]2.23[/C][/ROW]
[C]29[/C][C]1.33[/C][C]1.67[/C][/ROW]
[C]30[/C][C]0.88[/C][C]1.12[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266608&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266608&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
Numeracy x Gender
	0	1
0	0.44	0.56
2	0.44	0.56
3	0.88	1.12
4	1.33	1.67
7	0.44	0.56
10	0.88	1.12
11	0.44	0.56
12	0.44	0.56
13	0.88	1.12
15	2.65	3.35
16	4.42	5.58
17	3.54	4.46
18	4.42	5.58
19	6.64	8.36
20	7.96	10.04
21	2.21	2.79
22	5.75	7.25
23	9.29	11.71
24	4.87	6.13
25	6.19	7.81
26	1.77	2.23
27	3.1	3.9
28	1.77	2.23
29	1.33	1.67
30	0.88	1.12

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	31.43
Degrees of Freedom	24
P value	0.14

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 31.43 \tabularnewline
Degrees of Freedom & 24 \tabularnewline
P value & 0.14 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266608&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test[/C][/ROW]
[ROW][C]Pearson Chi Square Statistic[/C][C]31.43[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]24[/C][/ROW]
[ROW][C]P value[/C][C]0.14[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266608&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266608&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
Pearson Chi Square Statistic	31.43
Degrees of Freedom	24
P value	0.14

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

Parameters (R input):

par1 = 1 ; par2 = 2 ; par3 = Pearson Chi-Squared ;

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=='Fisher Exact Test') {
(cst <- fisher.test(table1))
}
if ((par3 != 'McNemar Chi-Squared') & (par3 != 'Fisher Exact Test')) {
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)
if (par3=='Pearson Chi-Squared') a<-table.element(a, 'Pearson Chi Square Statistic', 1, TRUE)
if (par3=='Exact Pearson Chi-Squared by Simulation') a<-table.element(a, 'Exact Pearson Chi Square Statistic', 1, TRUE)
if (par3=='McNemar Chi-Squared') a<-table.element(a, 'McNemar Chi Square Statistic', 1, TRUE)
if (par3=='Fisher Exact Test') a<-table.element(a, 'Odds Ratio', 1, TRUE)
if (par3=='Fisher Exact Test') {
if ((ncol(table1) == 2) & (nrow(table1) == 2)) {
a<-table.element(a, round(cst$estimate, digits=2), 1,FALSE)
} else {
a<-table.element(a, '--', 1,FALSE)
}
} else {
a<-table.element(a, round(cst$statistic, digits=2), 1,FALSE)
}
a<-table.row.end(a)
if(!simulate.p.value){
if(par3!='Fisher Exact Test') {
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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Dataset

Tables (Output of Computation)

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