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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, 17 Nov 2011 10:47:48 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Nov/17/t1321544899whwbpki5sfd759u.htm/, Retrieved Thu, 28 Mar 2024 20:30:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=144977, Retrieved Thu, 28 Mar 2024 20:30:28 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact58
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] [Chi1] [2011-11-17 15:47:48] [bbaf0bbad09b34135f8973992e5d67ea] [Current]
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Dataseries X:
14	'A'
18	'A'
11	'D'
12	'D'
16	'B'
18	'B'
14	'A'
14	'B'
15	'B'
15	'A'
17	'A'
19	'B'
10	'A'
16	'A'
18	'C'
14	'C'
14	'B'
17	'A'
14	'A'
16	'C'
18	'C'
11	'D'
14	'A'
12	'A'
17	'A'
9	'A'
16	'B'
14	'C'
15	'C'
11	'B'
16	'D'
13	'D'
17	'A'
15	'B'
14	'B'
16	'C'
9	'D'
15	'B'
17	'D'
13	'B'
15	'A'
16	'B'
16	'A'
12	'B'
12	'A'
11	'A'
15	'A'
15	'C'
17	'B'
13	'A'
16	'C'
14	'C'
11	'C'
12	'B'
12	'C'
15	'A'
16	'A'
15	'D'
12	'A'
12	'B'
8	'D'
13	'A'
11	'B'
14	'D'
15	'B'
10	'B'
11	'B'
12	'D'
15	'A'
15	'B'
14	'A'
16	'D'
15	'B'
15	'A'
13	'B'
12	'A'
17	'A'
13	'B'
15	'D'
13	'A'
15	'C'
16	'A'
15	'B'
16	'A'
15	'C'
14	'C'
15	'A'
14	'C'
13	'D'
7	'C'
17	'D'
13	'B'
15	'B'
14	'C'
13	'D'
16	'A'
12	'A'
14	'B'
17	'A'
15	'C'
17	'A'
12	'A'
16	'B'
11	'C'
15	'C'
9	'A'
16	'A'
15	'A'
10	'B'
10	'A'
15	'D'
11	'D'
13	'C'
14	'C'
18	'A'
16	'A'
14	'C'
14	'B'
14	'C'
14	'A'
12	'C'
14	'D'
15	'A'
15	'A'
15	'C'
13	'D'
17	'A'
17	'A'
19	'C'
15	'B'
13	'C'
9	'D'
15	'A'
15	'D'
15	'A'
16	'C'
11	'D'
14	'B'
11	'D'
15	'B'
13	'D'
15	'C'
16	'D'
14	'D'
15	'D'
16	'A'
16	'C'
11	'B'
12	'C'
9	'B'
16	'A'
13	'A'
16	'B'
12	'B'
9	'B'
13	'C'
13	'B'
14	'C'
19	'C'
13	'B'
12	'C'
13	'B'




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=144977&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=144977&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=144977&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Tabulation of Results
Happiness x Connected
ABCD
102200
111425
126442
134735
1466103
15121085
1610553
179102
182120
190120
70010
80001
92202

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Happiness  x  Connected \tabularnewline
  & A & B & C & D \tabularnewline
10 & 2 & 2 & 0 & 0 \tabularnewline
11 & 1 & 4 & 2 & 5 \tabularnewline
12 & 6 & 4 & 4 & 2 \tabularnewline
13 & 4 & 7 & 3 & 5 \tabularnewline
14 & 6 & 6 & 10 & 3 \tabularnewline
15 & 12 & 10 & 8 & 5 \tabularnewline
16 & 10 & 5 & 5 & 3 \tabularnewline
17 & 9 & 1 & 0 & 2 \tabularnewline
18 & 2 & 1 & 2 & 0 \tabularnewline
19 & 0 & 1 & 2 & 0 \tabularnewline
7 & 0 & 0 & 1 & 0 \tabularnewline
8 & 0 & 0 & 0 & 1 \tabularnewline
9 & 2 & 2 & 0 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=144977&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Happiness  x  Connected[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]10[/C][C]2[/C][C]2[/C][C]0[/C][C]0[/C][/ROW]
[C]11[/C][C]1[/C][C]4[/C][C]2[/C][C]5[/C][/ROW]
[C]12[/C][C]6[/C][C]4[/C][C]4[/C][C]2[/C][/ROW]
[C]13[/C][C]4[/C][C]7[/C][C]3[/C][C]5[/C][/ROW]
[C]14[/C][C]6[/C][C]6[/C][C]10[/C][C]3[/C][/ROW]
[C]15[/C][C]12[/C][C]10[/C][C]8[/C][C]5[/C][/ROW]
[C]16[/C][C]10[/C][C]5[/C][C]5[/C][C]3[/C][/ROW]
[C]17[/C][C]9[/C][C]1[/C][C]0[/C][C]2[/C][/ROW]
[C]18[/C][C]2[/C][C]1[/C][C]2[/C][C]0[/C][/ROW]
[C]19[/C][C]0[/C][C]1[/C][C]2[/C][C]0[/C][/ROW]
[C]7[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][/ROW]
[C]8[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][/ROW]
[C]9[/C][C]2[/C][C]2[/C][C]0[/C][C]2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=144977&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=144977&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
Happiness x Connected
ABCD
102200
111425
126442
134735
1466103
15121085
1610553
179102
182120
190120
70010
80001
92202







Tabulation of Expected Results
Happiness x Connected
ABCD
101.331.060.910.69
1143.192.742.07
125.334.253.652.77
136.335.044.343.28
148.336.645.714.32
1511.679.297.996.05
167.676.15.253.98
1743.192.742.07
181.671.331.140.86
1910.80.690.52
70.330.270.230.17
80.330.270.230.17
921.591.371.04

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Happiness  x  Connected \tabularnewline
  & A & B & C & D \tabularnewline
10 & 1.33 & 1.06 & 0.91 & 0.69 \tabularnewline
11 & 4 & 3.19 & 2.74 & 2.07 \tabularnewline
12 & 5.33 & 4.25 & 3.65 & 2.77 \tabularnewline
13 & 6.33 & 5.04 & 4.34 & 3.28 \tabularnewline
14 & 8.33 & 6.64 & 5.71 & 4.32 \tabularnewline
15 & 11.67 & 9.29 & 7.99 & 6.05 \tabularnewline
16 & 7.67 & 6.1 & 5.25 & 3.98 \tabularnewline
17 & 4 & 3.19 & 2.74 & 2.07 \tabularnewline
18 & 1.67 & 1.33 & 1.14 & 0.86 \tabularnewline
19 & 1 & 0.8 & 0.69 & 0.52 \tabularnewline
7 & 0.33 & 0.27 & 0.23 & 0.17 \tabularnewline
8 & 0.33 & 0.27 & 0.23 & 0.17 \tabularnewline
9 & 2 & 1.59 & 1.37 & 1.04 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=144977&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Happiness  x  Connected[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]10[/C][C]1.33[/C][C]1.06[/C][C]0.91[/C][C]0.69[/C][/ROW]
[C]11[/C][C]4[/C][C]3.19[/C][C]2.74[/C][C]2.07[/C][/ROW]
[C]12[/C][C]5.33[/C][C]4.25[/C][C]3.65[/C][C]2.77[/C][/ROW]
[C]13[/C][C]6.33[/C][C]5.04[/C][C]4.34[/C][C]3.28[/C][/ROW]
[C]14[/C][C]8.33[/C][C]6.64[/C][C]5.71[/C][C]4.32[/C][/ROW]
[C]15[/C][C]11.67[/C][C]9.29[/C][C]7.99[/C][C]6.05[/C][/ROW]
[C]16[/C][C]7.67[/C][C]6.1[/C][C]5.25[/C][C]3.98[/C][/ROW]
[C]17[/C][C]4[/C][C]3.19[/C][C]2.74[/C][C]2.07[/C][/ROW]
[C]18[/C][C]1.67[/C][C]1.33[/C][C]1.14[/C][C]0.86[/C][/ROW]
[C]19[/C][C]1[/C][C]0.8[/C][C]0.69[/C][C]0.52[/C][/ROW]
[C]7[/C][C]0.33[/C][C]0.27[/C][C]0.23[/C][C]0.17[/C][/ROW]
[C]8[/C][C]0.33[/C][C]0.27[/C][C]0.23[/C][C]0.17[/C][/ROW]
[C]9[/C][C]2[/C][C]1.59[/C][C]1.37[/C][C]1.04[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=144977&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=144977&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
Happiness x Connected
ABCD
101.331.060.910.69
1143.192.742.07
125.334.253.652.77
136.335.044.343.28
148.336.645.714.32
1511.679.297.996.05
167.676.15.253.98
1743.192.742.07
181.671.331.140.86
1910.80.690.52
70.330.270.230.17
80.330.270.230.17
921.591.371.04







Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic45.35
Degrees of Freedom36
P value0.14

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 45.35 \tabularnewline
Degrees of Freedom & 36 \tabularnewline
P value & 0.14 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=144977&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]45.35[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]36[/C][/ROW]
[ROW][C]P value[/C][C]0.14[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=144977&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=144977&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 Statistic45.35
Degrees of Freedom36
P value0.14



Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = Pearson Chi-Squared ;
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')