Z-Score Value Frequency Histogram



Figure 4.1. Z-score value frequency chart

Figure 4.1 shows that the Z-score values ​​do not have a normal distribution, but tend to be skewed to the right. The Z-score values ​​are concentrated in the range from -0.54 to 7.06. The amplitude of the Z-score index is 31.0 (from -6.24 to 24.76) which is much higher than the model's benchmark (from 1.1 to 2.6), which may raise questions about the suitability of applying the Z-score model to predict bankruptcy of real estate enterprises listed in the Vietnamese market.



Figure 4.2. X-value frequency histogram 1

Figure 4.2 shows that the X 1 values ​​have a distribution that closely resembles a normal distribution. The X 1 values ​​are concentrated in the range from -0.01 to 0.47.



Figure 4.3. X 2 value frequency chart

Figure 4.3 shows that the X 2 values ​​do not have a normal distribution, but tend to be skewed to the left. The X 2 values ​​are concentrated in the range from -0.026 to 0.112.


Figure 4.4. X-value frequency chart 3

Figure 4.4 shows that the X 3 values ​​do not have a normal distribution, but tend to be skewed to the left. The X 3 values ​​are concentrated in the range from -0.035 to 0.161.



Figure 4.5. X-value frequency chart 4

Figure 4.5 shows that the X 4 values ​​do not have a normal distribution, but tend to be skewed to the right. The X 4 values ​​are concentrated in the range from 0.11 to 2.71.

Table 4.2. Correlation table between Z-score model variables


Variable

Z-score

X 1

X 2

X 3

X 4

Z-score

1.00





X 1

0.61

1.00




X 2

0.44

0.25

1.00



X 3

0.51

0.28

0.92

1.00


X 4

0.85

0.17

0.14

0.20

1.00

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Table 4.2 shows that the Z-score variable is positively correlated and has a relatively strong correlation with variables from X 1 to X 4 . This shows that factors such as working capital, profit and financial leverage all have a great influence on the bankruptcy probability of the enterprise.

On the other hand, most of the correlations between the explanatory variables are weak but individual


The correlation between X 2 and X 3 is very high. This phenomenon can be explained by the fact that X 2 and X 3 have the same denominator, which is total assets, but the only difference is the numerator, which is retained earnings or pre-tax and interest earnings. In addition, the strong positive correlation between X 2 and X 3 raises the question of whether to use both X 2 and X 3 at the same time or whether further research is needed to remove one of these two variables from the model.

4.1.2. H-score model

Table 4.3. Descriptive statistics table of H-score model variables



STT

Variable name

Number of observations

Average value

Standard deviation

Minimum value

Maximum value

1

H-score

224

3.80

1.74

-4.96

13.96

2

V 1

224

0.02

0.08

-0.90

0.25

3

V 2

224

0.27

0.20

0.00

1.01

4

V 3

224

0.13

0.30

-2.83

0.79

5

V 4

224

0.08

0.36

-1.00

2.45

6

V 5

224

0.51

0.19

0.05

0.84

7

V 6

224

0.36

0.17

0.01

0.74

8

V 7

224

12.43

0.69

10.61

14.60

9

V 8

224

0.83

1.22

-0.61

12.29

10

V 9

224

0.84

0.91

-2.34

3.73

Table 4.3 shows the descriptive statistics of the explanatory variables V 1 to V 9 and the predictor variable H-score of the model. In which, the variable H-score ranges from -4.96 to 13.96 and has a mean of 3.80 with a standard deviation of 1.74. Variable V 1 ranges from -0.90 to 0.25 and has a mean of 0.02 with a standard deviation of 0.08. Variable V 2 ranges from 0 to 1.01 and has a mean of 0.27 with a standard deviation of 0.2. Variable V 3 ranges from -2.83 to 0.79 and has a mean of 0.13 with a standard deviation of 0.3. Variable V 4 ranges from -1.0 to 2.45 and has a mean of 0.08 with a standard deviation of 0.36. Variable V 5 ranges from 0.05 to 0.84 and has a mean of 0.51 with a standard deviation of


0.19. Variable V 6 ranges from 0.01 to 0.74 and has a mean of 0.36 with a standard deviation of 0.17. Variable V 7 ranges from 10.61 to 14.60 and has a mean of 12.43 with a standard deviation of 0.69. Variable V 8 ranges from

The V 9 variable ranges from -2.34 to 3.73 and has a mean of 0.84 with a standard deviation of 0.91.



Figure 4.6. Frequency chart of H-score values

Figure 4.6 shows that the H-score values ​​have a distribution shape that closely resembles a normal distribution. The H-score values ​​are concentrated in the range from 2.04 to 6.04 and have 2 values ​​less than 0.



Figure 4.7. Frequency chart of V 1 values

Figure 4.7 shows that the V 1 values ​​do not have a normal distribution, but tend to be skewed to the left. The V 1 values ​​are concentrated in the range from -0.026 to 0.112.


Figure 4.8. Frequency chart of V 2 values

Figure 4.8 shows that the V 2 values ​​do not have a normal distribution, but tend to be skewed to the right. The V 2 values ​​are concentrated in the range from 0 to 0.36.



Figure 4.9. Frequency chart of V 3 values

Figure 4.9 shows that the V 3 values ​​do not have a normal distribution, but tend to be skewed to the left. The V 3 values ​​are concentrated in the range from -0.11 to 0.4.



Figure 4.10. Frequency chart of V 4 values

Figure 4.10 shows that the V 4 values ​​do not have a normal distribution, but tend to be skewed to the right. The V 4 values ​​are concentrated in the range from -0.16 to 0.26.



Figure 4.11. Frequency chart of V 5 values

Figure 4.11 shows that the V 5 values ​​do not have a normal distribution, but tend to be skewed to the left. The V 5 values ​​are concentrated in the range from 0.27 to 0.71.



Figure 4.12. V 6 value frequency chart

Figure 4.12 shows that the V 6 values ​​have a distribution that closely resembles a normal distribution. The V 6 values ​​are concentrated in the range from 0.11 to 0.61.

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