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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

Mon, 13 Dec 2010 12:05:01 +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/Dec/13/t1292241835hdmf683pf7fwnpx.htm/, Retrieved Mon, 06 May 2024 12:57:31 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=108870, Retrieved Mon, 06 May 2024 12:57:31 +0000

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Estimated Impact

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] [paper, chi square...] [2010-12-13 12:05:01] [39ab8462d2190635c809d7a35eacc961] [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	5 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 & 5 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108870&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]5 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=108870&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108870&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	5 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Tabulation of Results
survived x age
	0	5	10	15	20	25	30	35	40	45	50	55	60	65	70	75	80
0	5	19	17	13	85	121	105	63	58	44	36	17	15	17	4	4	0
1	0	37	13	16	48	74	60	52	37	28	24	19	11	6	0	0	2

\begin{tabular}{lllllllll}
\hline

Tabulation of Results \tabularnewline

survived x age \tabularnewline & 0 & 5 & 10 & 15 & 20 & 25 & 30 & 35 & 40 & 45 & 50 & 55 & 60 & 65 & 70 & 75 & 80 \tabularnewline 0 & 5 & 19 & 17 & 13 & 85 & 121 & 105 & 63 & 58 & 44 & 36 & 17 & 15 & 17 & 4 & 4 & 0 \tabularnewline 1 & 0 & 37 & 13 & 16 & 48 & 74 & 60 & 52 & 37 & 28 & 24 & 19 & 11 & 6 & 0 & 0 & 2 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=108870&T=1

[TABLE]
[ROW]

Tabulation of Results[/C][/ROW] [ROW]

survived x age[/C][/ROW] [ROW][C] [/C][C]0[/C][C]5[/C][C]10[/C][C]15[/C][C]20[/C][C]25[/C][C]30[/C][C]35[/C][C]40[/C][C]45[/C][C]50[/C][C]55[/C][C]60[/C][C]65[/C][C]70[/C][C]75[/C][C]80[/C][/ROW] [C]0[/C][C]5[/C][C]19[/C][C]17[/C][C]13[/C][C]85[/C][C]121[/C][C]105[/C][C]63[/C][C]58[/C][C]44[/C][C]36[/C][C]17[/C][C]15[/C][C]17[/C][C]4[/C][C]4[/C][C]0[/C][/ROW] [C]1[/C][C]0[/C][C]37[/C][C]13[/C][C]16[/C][C]48[/C][C]74[/C][C]60[/C][C]52[/C][C]37[/C][C]28[/C][C]24[/C][C]19[/C][C]11[/C][C]6[/C][C]0[/C][C]0[/C][C]2[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=108870&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108870&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
survived x age
	0	5	10	15	20	25	30	35	40	45	50	55	60	65	70	75	80
0	5	19	17	13	85	121	105	63	58	44	36	17	15	17	4	4	0
1	0	37	13	16	48	74	60	52	37	28	24	19	11	6	0	0	2

Tabulation of Expected Results
survived x age
	0	5	10	15	20	25	30	35	40	45	50	55	60	65	70	75	80
0	2.97	33.23	17.8	17.21	78.91	115.7	97.9	68.23	56.37	42.72	35.6	21.36	15.43	13.65	2.37	2.37	1.19
1	2.03	22.77	12.2	11.79	54.09	79.3	67.1	46.77	38.63	29.28	24.4	14.64	10.57	9.35	1.63	1.63	0.81

\begin{tabular}{lllllllll}
\hline

Tabulation of Expected Results \tabularnewline

survived x age \tabularnewline & 0 & 5 & 10 & 15 & 20 & 25 & 30 & 35 & 40 & 45 & 50 & 55 & 60 & 65 & 70 & 75 & 80 \tabularnewline 0 & 2.97 & 33.23 & 17.8 & 17.21 & 78.91 & 115.7 & 97.9 & 68.23 & 56.37 & 42.72 & 35.6 & 21.36 & 15.43 & 13.65 & 2.37 & 2.37 & 1.19 \tabularnewline 1 & 2.03 & 22.77 & 12.2 & 11.79 & 54.09 & 79.3 & 67.1 & 46.77 & 38.63 & 29.28 & 24.4 & 14.64 & 10.57 & 9.35 & 1.63 & 1.63 & 0.81 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=108870&T=2

[TABLE]
[ROW]

Tabulation of Expected Results[/C][/ROW] [ROW]

survived x age[/C][/ROW] [ROW][C] [/C][C]0[/C][C]5[/C][C]10[/C][C]15[/C][C]20[/C][C]25[/C][C]30[/C][C]35[/C][C]40[/C][C]45[/C][C]50[/C][C]55[/C][C]60[/C][C]65[/C][C]70[/C][C]75[/C][C]80[/C][/ROW] [C]0[/C][C]2.97[/C][C]33.23[/C][C]17.8[/C][C]17.21[/C][C]78.91[/C][C]115.7[/C][C]97.9[/C][C]68.23[/C][C]56.37[/C][C]42.72[/C][C]35.6[/C][C]21.36[/C][C]15.43[/C][C]13.65[/C][C]2.37[/C][C]2.37[/C][C]1.19[/C][/ROW] [C]1[/C][C]2.03[/C][C]22.77[/C][C]12.2[/C][C]11.79[/C][C]54.09[/C][C]79.3[/C][C]67.1[/C][C]46.77[/C][C]38.63[/C][C]29.28[/C][C]24.4[/C][C]14.64[/C][C]10.57[/C][C]9.35[/C][C]1.63[/C][C]1.63[/C][C]0.81[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=108870&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108870&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
survived x age
	0	5	10	15	20	25	30	35	40	45	50	55	60	65	70	75	80
0	2.97	33.23	17.8	17.21	78.91	115.7	97.9	68.23	56.37	42.72	35.6	21.36	15.43	13.65	2.37	2.37	1.19
1	2.03	22.77	12.2	11.79	54.09	79.3	67.1	46.77	38.63	29.28	24.4	14.64	10.57	9.35	1.63	1.63	0.81

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	37.89
Degrees of Freedom	16
P value	0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 37.89 \tabularnewline
Degrees of Freedom & 16 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108870&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]37.89[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]16[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108870&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108870&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	37.89
Degrees of Freedom	16
P value	0

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

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

Parameters (R input):

par1 = 2 ; par2 = 1 ; 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')

Free Statistics

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code