Table 3: Criteria for quality adjustment of the historical series of total hospital stays (2004-2018) for respiratory diseases, for the six distribution models Probability using different fit quality tests.

#

Distribution

Kolmogorov Smirnov

Anderson Darling

Chi-Squared

Statistic

Rank

Statistic

Rank

Statistic

Rank

1

Burr

0.2121

3

4.1693

5

N/A

2

Inv. Gaussian

0.16038

2

0.24219

1

0.23349

1

3

Lognormal

0.27767

4

0.81603

2

2.4778

2

4

Pert

0.33265

6

4.4897

6

4.0

4

5

Rayleigh (2P)

0.31562

5

1.0689

3

3.6964

3

6

Weibull (3P)

0.12357

1

3.8219

4

N/A