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 -0.08913414 -0.01671760
2        I2 -0.01671760  0.01891171
3        I3  0.01891171  0.05279674
4        I4  0.05279674  0.07678256
5        I5  0.07678256  0.10952593
6        I6  0.10952593  0.14670591
7        I7  0.14670591  0.20462442
8        I8  0.20462442  0.26970026
9        I9  0.26970026  0.31317394
10      I10  0.31317394  0.37404642
11      I11  0.37404642  0.45711383
12      I12  0.45711383  0.59538934
13      I13  0.59538934  0.75288666
14      I14  0.75288666  0.89601139
15      I15  0.89601139  1.06012348

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    0.42 0.18 0.12 0.16 0.12 0.00 0.00 0.00 0.00 0.00 0.00   0   0   0   0
x1=0.5  0.00 0.00 0.00 0.00 0.06 0.12 0.30 0.22 0.18 0.12 0.00   0   0   0   0
x1=-0.5 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.22 0.36 0.22 0.08   0   0   0   0
Intervalls for the variable x2 
   Interval lowerBound upperBound
1        I1 -3.2435592 -1.4856477
2        I2 -1.4856477 -0.8506937
3        I3 -0.8506937 -0.7088988
4        I4 -0.7088988 -0.3146660
5        I5 -0.3146660  0.1114286
6        I6  0.1114286  0.4241502
7        I7  0.4241502  0.5815611
8        I8  0.5815611  0.7088554
9        I9  0.7088554  1.0607771
10      I10  1.0607771  1.3754533
11      I11  1.3754533  2.3887626

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 0.11 0.02 0.2 0.11 0.06 5.551115e-17 0.06 0.33  0   0 0.11
Intervalls for the variable x2 
   Interval  lowerBound  upperBound
1        I1 -2.18540728 -1.37819644
2        I2 -1.37819644 -1.15912172
3        I3 -1.15912172 -0.81132645
4        I4 -0.81132645 -0.58891932
5        I5 -0.58891932 -0.38741133
6        I6 -0.38741133 -0.20080559
7        I7 -0.20080559  0.07277783
8        I8  0.07277783  0.28851834
9        I9  0.28851834  0.73780602
10      I10  0.73780602  1.22452390
11      I11  1.22452390  2.16117837

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 0.11  0 0.02181818 0.1481818 0.28 0.16  0 0.22 0.06 1.110223e-16
[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)       0.2265    0.768
 q(x2,x1)       0.2595    0.449
 max.dependence 0.2595    0.687

                      a p.values
 asymmetry       -0.033       NA
[ FAIL 0 | WARN 26 | SKIP 0 | PASS 81 ]

[ FAIL 0 | WARN 26 | SKIP 0 | PASS 81 ]
> 
> proc.time()
   user  system elapsed 
   7.51    1.00    8.50