R Under development (unstable) (2025-06-30 r88369 ucrt) -- "Unsuffered Consequences"
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> library(testthat)
> library(qad)
> 
> test_check("qad")
Intervalls for the variable x2 
  Interval lowerBound upperBound
1       I1          1          4
2       I2          4         16
3       I3         16         36
4       I4         36         64

Probability that X2 given X1=x1 lies in the interval I_i :
     I1 I2 I3 I4
x1=1  1  0  0  0
x1=3  0  1  0  0
x1=5  0  0  1  0
x1=7  0  0  0  1
Intervalls for the variable x2 
   Interval   lowerBound  upperBound
1        I1 -0.077637105 0.004348484
2        I2  0.004348484 0.045583388
3        I3  0.045583388 0.081454372
4        I4  0.081454372 0.110998476
5        I5  0.110998476 0.152933425
6        I6  0.152933425 0.200207898
7        I7  0.200207898 0.263481909
8        I8  0.263481909 0.338509051
9        I9  0.338509051 0.435296932
10      I10  0.435296932 0.492693361
11      I11  0.492693361 0.629397323
12      I12  0.629397323 0.734727738
13      I13  0.734727738 0.840240992
14      I14  0.840240992 0.905367494
15      I15  0.905367494 1.066273995

Probability that X2 given X1=x1 lies in the interval I_i :
         I1   I2   I3   I4   I5   I6   I7   I8   I9 I10 I11 I12 I13 I14 I15
x1=0    0.2 0.16 0.34 0.30 0.00 0.00 0.00 0.00 0.00   0   0   0   0   0   0
x1=0.5  0.0 0.00 0.00 0.00 0.20 0.24 0.30 0.26 0.00   0   0   0   0   0   0
x1=-0.5 0.0 0.00 0.00 0.02 0.18 0.42 0.32 0.00 0.06   0   0   0   0   0   0
Intervalls for the variable x2 
   Interval  lowerBound  upperBound
1        I1 -2.49603078 -1.45442124
2        I2 -1.45442124 -0.98741654
3        I3 -0.98741654 -0.61640229
4        I4 -0.61640229 -0.38811368
5        I5 -0.38811368 -0.22348529
6        I6 -0.22348529 -0.03557959
7        I7 -0.03557959  0.20981320
8        I8  0.20981320  0.43020292
9        I9  0.43020292  0.66166428
10      I10  0.66166428  1.31143298
11      I11  1.31143298  2.35856685

Probability that X2 given X1=x1 lies in the interval I_i :
     I1 I2 I3   I4   I5   I6   I7   I8   I9 I10  I11
x1=0  0  0  0 0.17 0.11 0.11 0.11 0.22 0.17 0.1 0.01
Intervalls for the variable x2 
   Interval   lowerBound   upperBound
1        I1 -2.683943572 -1.219448049
2        I2 -1.219448049 -0.733273728
3        I3 -0.733273728 -0.411064092
4        I4 -0.411064092  0.005663955
5        I5  0.005663955  0.281971603
6        I6  0.281971603  0.376372289
7        I7  0.376372289  0.566960064
8        I8  0.566960064  0.763376615
9        I9  0.763376615  1.020682401
10      I10  1.020682401  1.398919888
11      I11  1.398919888  2.700674652

Probability that X2 given X1=x1 lies in the interval I_i :
     I1 I2   I3   I4   I5   I6   I7   I8 I9 I10  I11
x1=0  0  0 0.11 0.23 0.11 0.11 0.22 0.11  0   0 0.11
[1] "computation process..."
[1] "computation process: 2 / 3"
[1] "computation process: 3 / 3"
p.values are adjusted by using the method fdr

quantification of asymmetric dependencies: 


Sample Size: 100
Number of unique ranks: x1: 100
                        x2: 100
                   (x1,x2): 100
Resolution: 10 x 10

Dependence measures:
                     q p.values
 q(x1,x2)       0.1965    0.926
 q(x2,x1)       0.2010    0.923
 max.dependence 0.2010    0.983

                       a p.values
 asymmetry       -0.0045       NA
[ FAIL 0 | WARN 26 | SKIP 0 | PASS 81 ]

[ FAIL 0 | WARN 26 | SKIP 0 | PASS 81 ]
> 
> proc.time()
   user  system elapsed 
   7.51    1.17    8.68