1. Reading the data

##  [1] "mpg"  "cyl"  "disp" "hp"   "drat" "wt"   "qsec" "vs"   "am"   "gear"
## [11] "carb"

2. Contingency Table – 2-way relationships

2.1 table()

##    gear
## cyl  3  4  5
##   4  1  8  2
##   6  2  4  1
##   8 12  0  2

2.2 xtabs()

##    gear
## cyl  3  4  5
##   4  1  8  2
##   6  2  4  1
##   8 12  0  2

2.3 ftable()

##     gear  3  4  5
## cyl              
## 4         1  8  2
## 6         2  4  1
## 8        12  0  2

3. Contingency Table – 3-way relationships

3.1 3-way table()

## , , am = 0
## 
##    gear
## cyl  3  4  5
##   4  1  2  0
##   6  2  2  0
##   8 12  0  0
## 
## , , am = 1
## 
##    gear
## cyl  3  4  5
##   4  0  6  2
##   6  0  2  1
##   8  0  0  2

3-way table() contd.

## , , gear = 3
## 
##    am
## cyl  0  1
##   4  1  0
##   6  2  0
##   8 12  0
## 
## , , gear = 4
## 
##    am
## cyl  0  1
##   4  2  6
##   6  2  2
##   8  0  0
## 
## , , gear = 5
## 
##    am
## cyl  0  1
##   4  0  2
##   6  0  1
##   8  0  2

3.2 3-way xtabs()

## , , am = 0
## 
##    gear
## cyl  3  4  5
##   4  1  2  0
##   6  2  2  0
##   8 12  0  0
## 
## , , am = 1
## 
##    gear
## cyl  3  4  5
##   4  0  6  2
##   6  0  2  1
##   8  0  0  2

3-way xtabs() contd.

## , , gear = 3
## 
##    cyl
## am   4  6  8
##   0  1  2 12
##   1  0  0  0
## 
## , , gear = 4
## 
##    cyl
## am   4  6  8
##   0  2  2  0
##   1  6  2  0
## 
## , , gear = 5
## 
##    cyl
## am   4  6  8
##   0  0  0  0
##   1  2  1  2

3.3 3-way ftable()

Example 1

##    cyl   4        6        8      
##    gear  3  4  5  3  4  5  3  4  5
## am                                
## 0        1  2  0  2  2  0 12  0  0
## 1        0  6  2  0  2  1  0  0  2

Example 2

##    gear  3        4        5      
##    cyl   4  6  8  4  6  8  4  6  8
## am                                
## 0        1  2 12  2  2  0  0  0  0
## 1        0  0  0  6  2  0  2  1  2

Example 3

##          am  0  1
## gear cyl         
## 3    4       1  0
##      6       2  0
##      8      12  0
## 4    4       2  6
##      6       2  2
##      8       0  0
## 5    4       0  2
##      6       0  1
##      8       0  2

Example 4

##     am    0        1      
##     gear  3  4  5  3  4  5
## cyl                       
## 4         1  2  0  0  6  2
## 6         2  2  0  0  2  1
## 8        12  0  0  0  0  2

4. Contingency Table – 4-way relationships

Example 1

##    am    0                          1                        
##    cyl   4        6        8        4        6        8      
##    gear  3  4  5  3  4  5  3  4  5  3  4  5  3  4  5  3  4  5
## vs                                                           
## 0        0  0  0  0  0  0 12  0  0  0  0  1  0  2  1  0  0  2
## 1        1  2  0  2  2  0  0  0  0  0  6  1  0  0  0  0  0  0

Example 2

##         am   0        1      
##         cyl  4  6  8  4  6  8
## gear vs                      
## 3    0       0  0 12  0  0  0
##      1       1  2  0  0  0  0
## 4    0       0  0  0  0  2  0
##      1       2  2  0  6  0  0
## 5    0       0  0  0  1  1  2
##      1       0  0  0  1  0  0

Example 3

##             am  0  1
## cyl gear vs         
## 4   3    0      0  0
##          1      1  0
##     4    0      0  0
##          1      2  6
##     5    0      0  1
##          1      0  1
## 6   3    0      0  0
##          1      2  0
##     4    0      0  2
##          1      2  0
##     5    0      0  1
##          1      0  0
## 8   3    0     12  0
##          1      0  0
##     4    0      0  0
##          1      0  0
##     5    0      0  2
##          1      0  0