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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 computationWed, 17 Dec 2014 18:43:09 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/17/t1418841829l9gux17ed6sibmy.htm/, Retrieved Sun, 19 May 2024 18:47:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270572, Retrieved Sun, 19 May 2024 18:47:11 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact51

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] [] [2014-12-17 18:43:09] [6baf0af87d9d8aa2cb91b54f39a0a5b0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
21 26 50 0 21 13 12 13 13 "'S'"
22 57 62 1 22 8 8 13 16 "'S'"
22 37 54 0 21 14 11 11 11 "'S'"
18 67 71 1 21 16 13 14 10 "'S'"
23 43 54 1 21 14 11 15 9 "'S'"
12 52 65 1 21 13 10 14 8 "'S'"
20 52 73 0 21 15 7 11 26 "'S'"
22 43 52 1 23 13 10 13 10 "'S'"
21 84 84 1 22 20 15 16 10 "'S'"
19 67 42 1 25 17 12 14 8 "'S'"
22 49 66 1 21 15 12 14 13 "'S'"
15 70 65 1 23 16 10 15 11 "'S'"
20 52 78 1 22 12 10 15 8 "'S'"
19 58 73 0 21 17 14 13 12 "'S'"
18 68 75 0 21 11 6 14 24 "'S'"
15 62 72 0 25 16 12 11 21 "'B'"
20 43 66 1 21 16 14 12 5 "'S'"
21 56 70 0 21 15 11 14 14 "'S'"
21 56 61 1 20 13 8 13 11 "'B'"
15 74 81 0 24 14 12 12 9 "'S'"
16 65 71 1 23 19 15 15 8 "'S'"
23 63 69 1 21 16 13 15 17 "'S'"
21 58 71 0 24 17 11 14 18 "'S'"
18 57 72 1 23 10 12 14 16 "'S'"
25 63 68 1 21 15 7 12 23 "'S'"
9 53 70 1 22 14 11 12 9 "'S'"
30 57 68 1 20 14 7 12 14 "'B'"
20 51 61 0 18 16 12 15 13 "'B'"
23 64 67 1 21 15 12 14 10 "'S'"
16 53 76 0 22 17 13 16 8 "'S'"
16 29 70 0 22 14 9 12 10 "'S'"
19 54 60 0 21 16 11 12 19 "'S'"
25 58 72 1 21 15 12 14 11 "'S'"
18 43 69 1 25 16 15 16 16 "'S'"
23 51 71 1 22 16 12 15 12 "'S'"
21 53 62 1 22 10 6 12 11 "'S'"
10 54 70 0 20 8 5 14 11 "'S'"
14 56 64 1 21 17 13 13 10 "'B'"
22 61 58 1 21 14 11 14 13 "'S'"
26 47 76 0 21 10 6 16 14 "'S'"
23 39 52 1 22 14 12 12 8 "'S'"
23 48 59 1 21 12 10 14 11 "'S'"
24 50 68 1 24 16 6 15 11 "'S'"
24 35 76 1 22 16 12 13 13 "'S'"
18 30 65 1 22 16 11 16 15 "'B'"
23 68 67 0 21 8 6 16 15 "'S'"
15 49 59 1 22 16 12 12 16 "'S'"
19 61 69 1 19 15 12 12 12 "'B'"
16 67 76 0 22 8 8 16 12 "'S'"
25 47 63 1 23 13 10 12 17 "'B'"
23 56 75 1 20 14 11 15 14 "'B'"
17 50 63 1 20 13 7 12 15 "'B'"
19 43 60 1 23 16 12 13 12 "'S'"
21 67 73 1 20 19 13 12 13 "'B'"
18 62 63 1 23 19 14 14 7 "'S'"
27 57 70 1 21 14 12 14 8 "'S'"
21 41 75 0 22 15 6 11 16 "'B'"
13 54 66 1 21 13 14 10 20 "'S'"
8 45 63 0 21 10 10 12 14 "'B'"
29 48 63 1 19 16 12 11 10 "'B'"
28 61 64 1 22 15 11 16 16 "'S'"
23 56 70 0 21 11 10 14 11 "'S'"
21 41 75 0 21 9 7 14 26 "'S'"
19 43 61 1 21 16 12 15 9 "'S'"
19 53 60 0 21 12 7 15 15 "'S'"
20 44 62 1 21 12 12 14 12 "'B'"
18 66 73 0 21 14 12 13 21 "'S'"
19 58 61 1 22 14 10 11 20 "'S'"
17 46 66 1 22 13 10 16 20 "'S'"
19 37 64 0 18 15 12 12 10 "'B'"
25 51 59 0 21 17 12 15 15 "'S'"
19 51 64 0 23 14 12 14 10 "'S'"
22 56 60 0 19 11 8 15 16 "'B'"
23 66 56 1 19 9 10 14 9 "'B'"
14 37 78 0 21 7 5 13 17 "'S'"
28 59 53 1 21 13 10 6 10 "'S'"
16 42 67 0 21 15 10 12 19 "'S'"
24 38 59 1 21 12 12 12 13 "'B'"
20 66 66 0 20 15 11 14 8 "'S'"
12 34 68 0 19 14 9 14 11 "'B'"
24 53 71 1 21 16 12 15 9 "'S'"
22 49 66 0 19 14 11 11 12 "'B'"
12 55 73 0 19 13 10 13 10 "'B'"
22 49 72 0 19 16 12 14 9 "'B'"
20 59 71 1 20 13 10 16 14 "'B'"
10 40 59 0 19 16 9 13 14 "'B'"
23 58 64 1 19 16 11 14 10 "'B'"
17 60 66 1 19 16 12 16 8 "'B'"
22 63 78 0 20 10 7 11 13 "'B'"
24 56 68 0 19 12 11 13 9 "'B'"
18 54 73 0 18 12 12 13 14 "'B'"
21 52 62 1 19 12 6 15 8 "'B'"
20 34 65 1 21 12 9 12 16 "'B'"
20 69 68 1 18 19 15 13 14 "'B'"
22 32 65 0 18 14 10 12 14 "'B'"
19 48 60 1 19 13 11 14 8 "'B'"
20 67 71 0 21 16 12 14 11 "'B'"
26 58 65 1 20 15 12 16 11 "'B'"
23 57 68 1 24 12 12 15 13 "'B'"
24 42 64 1 22 8 11 14 12 "'B'"
21 64 74 1 21 10 9 13 13 "'B'"
21 58 69 1 21 16 11 14 9 "'B'"
19 66 76 0 19 16 12 15 10 "'B'"
8 26 68 1 19 10 12 14 12 "'B'"
17 61 72 1 20 18 14 12 11 "'B'"
20 52 67 1 18 12 8 7 13 "'B'"
11 51 63 0 19 16 10 12 17 "'B'"
8 55 59 0 19 10 9 15 15 "'B'"
15 50 73 0 20 14 10 12 15 "'B'"
18 60 66 0 21 12 9 13 14 "'B'"
18 56 62 0 18 11 10 11 10 "'B'"
19 63 69 0 19 15 12 14 15 "'B'"
19 61 66 1 19 7 11 13 14 "'B'"

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270572&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270572&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270572&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net






Tabulation of Results
NUMERACYTOT x opleiding
'B''S'
1011
1110
1221
1301
1411
1523
1605
1731
1846
1968
2074
2166
2255
2348
2433
2513
2611
2701
2802
2910
3010
830
901

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
NUMERACYTOT  x  opleiding \tabularnewline
  & 'B' & 'S' \tabularnewline
10 & 1 & 1 \tabularnewline
11 & 1 & 0 \tabularnewline
12 & 2 & 1 \tabularnewline
13 & 0 & 1 \tabularnewline
14 & 1 & 1 \tabularnewline
15 & 2 & 3 \tabularnewline
16 & 0 & 5 \tabularnewline
17 & 3 & 1 \tabularnewline
18 & 4 & 6 \tabularnewline
19 & 6 & 8 \tabularnewline
20 & 7 & 4 \tabularnewline
21 & 6 & 6 \tabularnewline
22 & 5 & 5 \tabularnewline
23 & 4 & 8 \tabularnewline
24 & 3 & 3 \tabularnewline
25 & 1 & 3 \tabularnewline
26 & 1 & 1 \tabularnewline
27 & 0 & 1 \tabularnewline
28 & 0 & 2 \tabularnewline
29 & 1 & 0 \tabularnewline
30 & 1 & 0 \tabularnewline
8 & 3 & 0 \tabularnewline
9 & 0 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270572&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]NUMERACYTOT  x  opleiding[/C][/ROW]
[ROW][C] [/C][C]'B'[/C][C]'S'[/C][/ROW]
[C]10[/C][C]1[/C][C]1[/C][/ROW]
[C]11[/C][C]1[/C][C]0[/C][/ROW]
[C]12[/C][C]2[/C][C]1[/C][/ROW]
[C]13[/C][C]0[/C][C]1[/C][/ROW]
[C]14[/C][C]1[/C][C]1[/C][/ROW]
[C]15[/C][C]2[/C][C]3[/C][/ROW]
[C]16[/C][C]0[/C][C]5[/C][/ROW]
[C]17[/C][C]3[/C][C]1[/C][/ROW]
[C]18[/C][C]4[/C][C]6[/C][/ROW]
[C]19[/C][C]6[/C][C]8[/C][/ROW]
[C]20[/C][C]7[/C][C]4[/C][/ROW]
[C]21[/C][C]6[/C][C]6[/C][/ROW]
[C]22[/C][C]5[/C][C]5[/C][/ROW]
[C]23[/C][C]4[/C][C]8[/C][/ROW]
[C]24[/C][C]3[/C][C]3[/C][/ROW]
[C]25[/C][C]1[/C][C]3[/C][/ROW]
[C]26[/C][C]1[/C][C]1[/C][/ROW]
[C]27[/C][C]0[/C][C]1[/C][/ROW]
[C]28[/C][C]0[/C][C]2[/C][/ROW]
[C]29[/C][C]1[/C][C]0[/C][/ROW]
[C]30[/C][C]1[/C][C]0[/C][/ROW]
[C]8[/C][C]3[/C][C]0[/C][/ROW]
[C]9[/C][C]0[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270572&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270572&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
NUMERACYTOT x opleiding
'B''S'
1011
1110
1221
1301
1411
1523
1605
1731
1846
1968
2074
2166
2255
2348
2433
2513
2611
2701
2802
2910
3010
830
901






Tabulation of Expected Results
NUMERACYTOT x opleiding
'B''S'
100.921.08
110.460.54
121.381.62
130.460.54
140.921.08
152.32.7
162.32.7
171.842.16
184.65.4
196.447.56
205.065.94
215.526.48
224.65.4
235.526.48
242.763.24
251.842.16
260.921.08
270.460.54
280.921.08
290.460.54
300.460.54
81.381.62
90.460.54

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
NUMERACYTOT  x  opleiding \tabularnewline
  & 'B' & 'S' \tabularnewline
10 & 0.92 & 1.08 \tabularnewline
11 & 0.46 & 0.54 \tabularnewline
12 & 1.38 & 1.62 \tabularnewline
13 & 0.46 & 0.54 \tabularnewline
14 & 0.92 & 1.08 \tabularnewline
15 & 2.3 & 2.7 \tabularnewline
16 & 2.3 & 2.7 \tabularnewline
17 & 1.84 & 2.16 \tabularnewline
18 & 4.6 & 5.4 \tabularnewline
19 & 6.44 & 7.56 \tabularnewline
20 & 5.06 & 5.94 \tabularnewline
21 & 5.52 & 6.48 \tabularnewline
22 & 4.6 & 5.4 \tabularnewline
23 & 5.52 & 6.48 \tabularnewline
24 & 2.76 & 3.24 \tabularnewline
25 & 1.84 & 2.16 \tabularnewline
26 & 0.92 & 1.08 \tabularnewline
27 & 0.46 & 0.54 \tabularnewline
28 & 0.92 & 1.08 \tabularnewline
29 & 0.46 & 0.54 \tabularnewline
30 & 0.46 & 0.54 \tabularnewline
8 & 1.38 & 1.62 \tabularnewline
9 & 0.46 & 0.54 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270572&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]NUMERACYTOT  x  opleiding[/C][/ROW]
[ROW][C] [/C][C]'B'[/C][C]'S'[/C][/ROW]
[C]10[/C][C]0.92[/C][C]1.08[/C][/ROW]
[C]11[/C][C]0.46[/C][C]0.54[/C][/ROW]
[C]12[/C][C]1.38[/C][C]1.62[/C][/ROW]
[C]13[/C][C]0.46[/C][C]0.54[/C][/ROW]
[C]14[/C][C]0.92[/C][C]1.08[/C][/ROW]
[C]15[/C][C]2.3[/C][C]2.7[/C][/ROW]
[C]16[/C][C]2.3[/C][C]2.7[/C][/ROW]
[C]17[/C][C]1.84[/C][C]2.16[/C][/ROW]
[C]18[/C][C]4.6[/C][C]5.4[/C][/ROW]
[C]19[/C][C]6.44[/C][C]7.56[/C][/ROW]
[C]20[/C][C]5.06[/C][C]5.94[/C][/ROW]
[C]21[/C][C]5.52[/C][C]6.48[/C][/ROW]
[C]22[/C][C]4.6[/C][C]5.4[/C][/ROW]
[C]23[/C][C]5.52[/C][C]6.48[/C][/ROW]
[C]24[/C][C]2.76[/C][C]3.24[/C][/ROW]
[C]25[/C][C]1.84[/C][C]2.16[/C][/ROW]
[C]26[/C][C]0.92[/C][C]1.08[/C][/ROW]
[C]27[/C][C]0.46[/C][C]0.54[/C][/ROW]
[C]28[/C][C]0.92[/C][C]1.08[/C][/ROW]
[C]29[/C][C]0.46[/C][C]0.54[/C][/ROW]
[C]30[/C][C]0.46[/C][C]0.54[/C][/ROW]
[C]8[/C][C]1.38[/C][C]1.62[/C][/ROW]
[C]9[/C][C]0.46[/C][C]0.54[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270572&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270572&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
NUMERACYTOT x opleiding
'B''S'
100.921.08
110.460.54
121.381.62
130.460.54
140.921.08
152.32.7
162.32.7
171.842.16
184.65.4
196.447.56
205.065.94
215.526.48
224.65.4
235.526.48
242.763.24
251.842.16
260.921.08
270.460.54
280.921.08
290.460.54
300.460.54
81.381.62
90.460.54






Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic20.79
P value0.6

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates) \tabularnewline
Exact Pearson Chi Square Statistic & 20.79 \tabularnewline
P value & 0.6 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270572&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]Exact Pearson Chi Square Statistic[/C][C]20.79[/C][/ROW]
[ROW][C]P value[/C][C]0.6[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270572&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270572&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 with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic20.79
P value0.6


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 5 ; par2 = 4 ; par3 = Pearson Chi-Squared ;
Parameters (R input):
par1 = 1 ; par2 = 10 ; par3 = Exact Pearson Chi-Squared by Simulation ;
R code (references can be found in the software module):
par3 <- 'Pearson Chi-Squared'
par2 <- '10'
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')