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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 computationThu, 15 Dec 2016 01:51:59 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/15/t1481763136405ewbc90jpa9r5.htm/, Retrieved Fri, 03 May 2024 10:56:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299760, Retrieved Fri, 03 May 2024 10:56:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact121

Tree of Dependent Computations

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] [chi square] [2016-12-15 00:51:59] [11b61e09f442d73f657668491c17a736] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
10	10
15	13
13	14
13	NA
11	NA
15	13
12	NA
15	NA
14	NA
12	14
15	14
NA	12
15	12
14	11
11	12
11	14
15	NA
NA	NA
12	NA
11	NA
12	13
8	NA
14	13
14	NA
14	NA
12	NA
14	12
13	12
14	13
14	13
NA	10
14	12
15	13
3	NA
14	10
13	14
12	NA
12	10
14	10
13	14
12	NA
13	14
NA	10
15	13
15	12
5	12
9	NA
11	12
12	10
NA	NA
14	14
15	NA
12	NA
13	8
15	11
12	10
14	NA
12	14
12	12
10	NA
11	14
13	13
13	13
13	13
13	12
12	10
10	14
12	11
10	10
13	13
11	NA
15	NA
9	NA
10	NA
14	NA
10	12
15	13
13	11
10	10
13	14
15	NA
12	7
11	NA
13	13
15	NA
11	15
14	13
14	14
15	NA
13	13
12	11
12	NA
15	14
12	NA
15	14
14	NA
14	12
12	13
15	14
15	13
9	NA
14	NA
15	12
15	10
NA	NA
13	NA
12	NA
12	NA
15	NA
14	12
10	NA
11	NA
10	NA
13	9
11	NA
14	12
13	13
13	NA
15	13
13	11
11	12
11	11
14	NA
15	12
13	NA
13	12
13	13
13	NA
11	NA
14	NA
14	8
13	NA
15	13
12	NA
12	8
12	NA
13	13
7	NA
12	12
14	15
15	14
15	NA
12	11
13	NA
13	10
13	14
14	10
15	15
13	11
14	NA
12	NA
13	12
9	13
11	12
13	9
13	NA
11	14
10	NA
15	NA
14	14
13	12
13	15
15	11
14	NA
15	NA
14	NA
12	12
13	NA
11	11

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299760&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=299760&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299760&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center






Tabulation of Results
ith x tvdc
789101112131415
3000000000
5000001000
7000000000
8000000000
9000000100
10000301010
11000024031
12110433220
13012135961
14010315431
15000124851

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
ith  x  tvdc \tabularnewline
  & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 \tabularnewline
3 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
5 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 \tabularnewline
7 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
8 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
9 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \tabularnewline
10 & 0 & 0 & 0 & 3 & 0 & 1 & 0 & 1 & 0 \tabularnewline
11 & 0 & 0 & 0 & 0 & 2 & 4 & 0 & 3 & 1 \tabularnewline
12 & 1 & 1 & 0 & 4 & 3 & 3 & 2 & 2 & 0 \tabularnewline
13 & 0 & 1 & 2 & 1 & 3 & 5 & 9 & 6 & 1 \tabularnewline
14 & 0 & 1 & 0 & 3 & 1 & 5 & 4 & 3 & 1 \tabularnewline
15 & 0 & 0 & 0 & 1 & 2 & 4 & 8 & 5 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299760&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]ith  x  tvdc[/C][/ROW]
[ROW][C] [/C][C]7[/C][C]8[/C][C]9[/C][C]10[/C][C]11[/C][C]12[/C][C]13[/C][C]14[/C][C]15[/C][/ROW]
[C]3[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]5[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]7[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]8[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]9[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]10[/C][C]0[/C][C]0[/C][C]0[/C][C]3[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][/ROW]
[C]11[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]4[/C][C]0[/C][C]3[/C][C]1[/C][/ROW]
[C]12[/C][C]1[/C][C]1[/C][C]0[/C][C]4[/C][C]3[/C][C]3[/C][C]2[/C][C]2[/C][C]0[/C][/ROW]
[C]13[/C][C]0[/C][C]1[/C][C]2[/C][C]1[/C][C]3[/C][C]5[/C][C]9[/C][C]6[/C][C]1[/C][/ROW]
[C]14[/C][C]0[/C][C]1[/C][C]0[/C][C]3[/C][C]1[/C][C]5[/C][C]4[/C][C]3[/C][C]1[/C][/ROW]
[C]15[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]4[/C][C]8[/C][C]5[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299760&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299760&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
ith x tvdc
789101112131415
3000000000
5000001000
7000000000
8000000000
9000000100
10000301010
11000024031
12110433220
13012135961
14010315431
15000124851






Tabulation of Expected Results
ith x tvdc
789101112131415
3000000000
50.010.030.020.120.110.230.240.20.04
7000000000
8000000000
90.010.030.020.120.110.230.240.20.04
100.050.150.10.60.551.151.210.2
110.10.30.21.21.12.32.420.4
120.160.480.321.921.763.683.843.20.64
130.280.840.563.363.086.446.725.61.12
140.180.540.362.161.984.144.323.60.72
150.210.630.422.522.314.835.044.20.84

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
ith  x  tvdc \tabularnewline
  & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 \tabularnewline
3 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
5 & 0.01 & 0.03 & 0.02 & 0.12 & 0.11 & 0.23 & 0.24 & 0.2 & 0.04 \tabularnewline
7 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
8 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
9 & 0.01 & 0.03 & 0.02 & 0.12 & 0.11 & 0.23 & 0.24 & 0.2 & 0.04 \tabularnewline
10 & 0.05 & 0.15 & 0.1 & 0.6 & 0.55 & 1.15 & 1.2 & 1 & 0.2 \tabularnewline
11 & 0.1 & 0.3 & 0.2 & 1.2 & 1.1 & 2.3 & 2.4 & 2 & 0.4 \tabularnewline
12 & 0.16 & 0.48 & 0.32 & 1.92 & 1.76 & 3.68 & 3.84 & 3.2 & 0.64 \tabularnewline
13 & 0.28 & 0.84 & 0.56 & 3.36 & 3.08 & 6.44 & 6.72 & 5.6 & 1.12 \tabularnewline
14 & 0.18 & 0.54 & 0.36 & 2.16 & 1.98 & 4.14 & 4.32 & 3.6 & 0.72 \tabularnewline
15 & 0.21 & 0.63 & 0.42 & 2.52 & 2.31 & 4.83 & 5.04 & 4.2 & 0.84 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299760&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]ith  x  tvdc[/C][/ROW]
[ROW][C] [/C][C]7[/C][C]8[/C][C]9[/C][C]10[/C][C]11[/C][C]12[/C][C]13[/C][C]14[/C][C]15[/C][/ROW]
[C]3[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]5[/C][C]0.01[/C][C]0.03[/C][C]0.02[/C][C]0.12[/C][C]0.11[/C][C]0.23[/C][C]0.24[/C][C]0.2[/C][C]0.04[/C][/ROW]
[C]7[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]8[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]9[/C][C]0.01[/C][C]0.03[/C][C]0.02[/C][C]0.12[/C][C]0.11[/C][C]0.23[/C][C]0.24[/C][C]0.2[/C][C]0.04[/C][/ROW]
[C]10[/C][C]0.05[/C][C]0.15[/C][C]0.1[/C][C]0.6[/C][C]0.55[/C][C]1.15[/C][C]1.2[/C][C]1[/C][C]0.2[/C][/ROW]
[C]11[/C][C]0.1[/C][C]0.3[/C][C]0.2[/C][C]1.2[/C][C]1.1[/C][C]2.3[/C][C]2.4[/C][C]2[/C][C]0.4[/C][/ROW]
[C]12[/C][C]0.16[/C][C]0.48[/C][C]0.32[/C][C]1.92[/C][C]1.76[/C][C]3.68[/C][C]3.84[/C][C]3.2[/C][C]0.64[/C][/ROW]
[C]13[/C][C]0.28[/C][C]0.84[/C][C]0.56[/C][C]3.36[/C][C]3.08[/C][C]6.44[/C][C]6.72[/C][C]5.6[/C][C]1.12[/C][/ROW]
[C]14[/C][C]0.18[/C][C]0.54[/C][C]0.36[/C][C]2.16[/C][C]1.98[/C][C]4.14[/C][C]4.32[/C][C]3.6[/C][C]0.72[/C][/ROW]
[C]15[/C][C]0.21[/C][C]0.63[/C][C]0.42[/C][C]2.52[/C][C]2.31[/C][C]4.83[/C][C]5.04[/C][C]4.2[/C][C]0.84[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299760&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299760&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
ith x tvdc
789101112131415
3000000000
50.010.030.020.120.110.230.240.20.04
7000000000
8000000000
90.010.030.020.120.110.230.240.20.04
100.050.150.10.60.551.151.210.2
110.10.30.21.21.12.32.420.4
120.160.480.321.921.763.683.843.20.64
130.280.840.563.363.086.446.725.61.12
140.180.540.362.161.984.144.323.60.72
150.210.630.422.522.314.835.044.20.84






Statistical Results
Pearson's Chi-squared test
Exact Pearson Chi Square StatisticNaN
P valueNaN

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Exact Pearson Chi Square Statistic & NaN \tabularnewline
P value & NaN \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299760&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test[/C][/ROW]
[ROW][C]Exact Pearson Chi Square Statistic[/C][C]NaN[/C][/ROW]
[ROW][C]P value[/C][C]NaN[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299760&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299760&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
Exact Pearson Chi Square StatisticNaN
P valueNaN


Figures (Output of Computation)

Input Parameters & R Code

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):
par3 <- 'Pearson Chi-Squared'
par2 <- '2'
par1 <- '1'
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')