Table (1): Normal distribution function test due to different groups in relation to CFR marker
One-Sample Kolmogorov-Smirnov Test
|
Groups
|
Test Statistic
|
At 12:37pm CEST, 03/04/2021
|
At day 1 of starting vaccine
|
> 18 Doses / 100 people
|
No.
|
9
|
7
|
Kolmogorov-Smirnov Z
|
0.506
|
0.921
|
Asymp. Sig. (2-tailed)
|
0.96
|
0.364
|
C.S. (*)
|
NS
|
NS
|
Test distribution of data follows Normal Shape
|
≤ 18 Doses / 100 people
|
No.
|
9
|
7
|
Kolmogorov-Smirnov Z
|
0.566
|
0.749
|
Asymp. Sig. (2-tailed)
|
0.906
|
0.630
|
C.S. (*)
|
NS
|
NS
|
Test distribution of data follows Normal Shape
|
(*) NS: Non Sig. at P>0.05
Table (1) shows the normal distribution function (goodness of fit test). It represents a one-sample "Kolmogorov-Smirnov" test procedure comparing the observed cumulative distribution function for studied readings with a specified theoretical distribution, which proposed a normal shape (i.e. bell shape).
The results show that the distribution of studied readings regarding CFR marker distribution function in different locations. Since (P-value) is accounted at (P>0.05), this enabled us for applying the convention statistical methods (the parametrical methods).
Table (2): mean values, and standard deviation for the (CFR) marker, according to the assignable factors
Dependent Variable: CFR
|
Countries according to Covid-19 vaccination doses
|
date
|
No.
|
Mean
|
Std. Deviation
|
> 18 doses / 100 people
|
At day 1 of starting vaccine
|
9
|
1.875
|
1.474
|
At 12:37pm CEST, 03/04/2021
|
9
|
1.449
|
0.950
|
≤ 18 doses / 100 people
|
At day 1 of starting vaccine
|
7
|
3.315
|
2.796
|
At 03/04/2021
|
7
|
3.283
|
2.789
|
In table (2) results shows that mean CFR is less in countries with > 18 vaccine doses / 100 people compared to countries ≤ 18 vaccine doses / 100 people .
We found that countries and territories that have a level of coverage of > 18 doses/ 100 person showed decreased mean CFR compared to the countries’ corresponding CFRs at the time of initiating the vaccine. The mean CFR was also decreased from 1.875 to 1.449 . On the other hand, CFR for countries with a coverage rate of ≤ 18 doses per 100 inhabitants showed a lesser extent of decrease in mean CFR from 3.315 to 3.283.
Table (3) shows testing and analyzing the studied marker CFR with different sources of variation (SOV), such as the two different dose categories, countries starting vaccine time, interaction factor represented by applying the GLM of fixed effects model, and testing effectiveness of the other source of variations which were not included in the studied model (i.e. the intercept). In addition to that table (3) shows the (R – Square), which represents percentage interpretation of the number of variations among the studied marker represented by the effectiveness of the assignable and interaction factors.
Results show significant differences accounted at P<0.05 related to studied vaccine dose categories /100 people, while no significant differences at P>0.05 were accounted for both the time that countries starting the vaccine, and the interaction factor. In addition to that, the intercept (the other sources of variations not included in the studied model) recorded highly significant effectiveness at P<0.01.
It was concluded that countries with a higher dose of Covid-19 vaccine indexed as >18 doses /100 people reported the lower CFR marker on April 3,2021compared to day 1 of starting vaccine.
Table (3): General linear model of fixed effects model with interaction for testing Marginal mean values for different Source of Variation in a compact form
Dependent variable CFR
|
Source of Variation
(SOV)
|
Type III Sum of Squares
|
d.f.
|
Mean Square
|
F
|
Sig.
|
C.S. (*)
|
Intercept
|
193.788
|
1
|
193.788
|
45.91
|
0.000
|
HS
|
Vaccine dose category/100 people
|
21.109
|
1
|
21.109
|
5.001
|
0.033
|
S
|
Time starting the vaccine
|
0.412
|
1
|
0.412
|
0.098
|
0.757
|
NS
|
Interaction
|
0.306
|
1
|
0.306
|
0.073
|
0.790
|
NS
|
Error
|
53.71
|
28
|
4.221
|
|
|
Total
|
2246.3
|
32
|
|
R - Squared = 0.157
|
(*) HS: Highly Sig. at P<0.01; S: Sig. at P<0.05; NS: Non Sig. at P>0.05