NewBioWorld A Journal of Alumni Association of Biotechnology (2025) 7(2):1-3
RESEARCH
ARTICLE
Effect of vaccination on predictive model of Covid-19 in
Chhattisgarh
Pranjal Kaser*
School
of Studies in Statistics, Pt. Ravishankar Shukla University, Raipur (CG)
India.
*Corresponding Author Email- kaserpranjal@gmail.com
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ARTICLE INFORMATION
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ABSTRACT
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Article history:
Received
16 November 2025
Received in revised form
25 December 2025
Accepted
Keywords:
Covid-19;
Regression
Modelling;
Vaccination;
R2 Value;
Survival
Analysis.
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This paper is based on analyze the
effect of vaccination variable on the statistical modelling. In Covid-19
pandemic, prediction models gave a path for precaution of pandemic. Models
developed on the running time of Covid-19, so models didn’t have sufficient
data for predictions. When vaccination process starts most of the prediction
are been weaker or provide inconsiderable results. This paper use regression
modelling with mainly independent variable vaccination and dependent variable
Covid-19 deaths. We find that the model prediction is batter when vaccination
data are included in the base set data. We use R2 and graph to determine the
performance measures that fit the COVID-19 new deaths. The fitted graph is
also show that the vaccination variable gives support for better prediction.
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Introduction
Severe
acute respiratory syndrome (SARS) coronavirus (SARS-CoV-2) is a novel virus
that was recognized at the end of December 2019 around the globe. [Das, 2022].
India is one of the largest Asian countries that has suffered from COVID-19.
COVID gives an uncertain break in every stream of every nation. India is
suffering from economic difficulties during the COVID-19 pandemic.
For India
biggest problem is not only the high infection rate but also the vaccination of
the high populated country. Vaccination provides significant relief from the
COVID-19 pandemic. India conducts the vaccination process in three phases
(Dose-1, Dose-2, and booster).
On 19
March, 2020, the first COVID-19 case was recorded in Chhattisgarh among an
international traveler. Lockdown announced on 25 March 2020. Covid cases
increase with respect to time. The first and second waves of the COVID-19
pandemic created a situation of chaos. Chhattisgarh has 10.08 lakh confirmed
cases, active cases 841, number of deaths 13,600, recovered 9.94 lakh, Covid
tests 1.50 CR, daily positive rate 0.75%, Positivity Rate 6.73%, Death Rate
1.35%. (Covid tracking).
For the
government, it is easy to obtain information or classify any set of data. It
provides additional information about the source dataset. For data related to
Covid- 19 have extra information like confirmed new cases, new death cases, and
daily.
Vaccination
cases, previous health issues, and the COVID-19 phases help us better
understand COVID-19.
DOI: 10.52228/NBW-JAAB.2025-7-2-1
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Statistical models for infectious diseases and their statistical tools
have become an integral part of the inputs for planning, control, and
mitigation measures. Statistical models provide us opportunities to test
various strategies in simulations before applying them in populations or
individuals. [Huppert A., 2013]. Considering these statistics, this study aims
to find the effect of vaccination on regression modelling.
Model Data:
The timeline of data is from 01.04.2020 to
05.05.2023 of Chhattisgarh. The data is collected from the website https://covidtracking.in/coronavirus-cases/chhattisgarh visited at 10.05.2023.
Study Area
This study is geographically based in Chhattisgarh,
a state of India. According to the 2011 Census, Chhattisgarh has a population
of 2.42 crore, constituting 2.11% of the country's total population. The study
area covers 1,35,191 square kilometres, accounting for 4.4% of India’s total
geographical area. The state has an urban population of 23.24% and a sex ratio
of 991 (Census, 2011).
Geographically, Chhattisgarh is bordered by seven
states: Uttar Pradesh to the north, Madhya Pradesh to the north-west,
Maharashtra to the south-west, Jharkhand to the north-east, Odisha to the east,
and Andhra Pradesh and Telangana to the south. The state has a tropical
climate, with summer temperatures reaching up to 49°C.
Materials and Methods
For predicting deaths, we use linear regression with
one independent variable, and for two or more independent variables, we use
multiple linear regression.
In simple linear regression: - One dependent
variable Y and one independent variable X.
For multiple Regression modelling: -
Where: Y =
Dependent variable.
= Independent variables.
α = Constant.
= Regression coefficient of the variable
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Model
Implementation
For the COVID-19 prediction model, we use multiple
regression with three stages of independent variables. In the first stage, we
predict death based on recovery in that time. In the Second stage, based on
recovered and confirmed cases, we predict COVID-19 deaths. Simultaneously, in
the third stage, we predict deaths based on recoveries, confirmed cases, and
vaccinations as independent variables.
Model
stage-1: This model
is based on Recover as independent variable.
Table 01:
Analysis of model stage-1
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Coefficient
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Std. Error
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t- ratio
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p-value
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const
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38.0853
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1190.12
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0.032
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0.9745
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Recover
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0.012324
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0.000217632
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56.63
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<0.0001
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R-
squared
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0.955879
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Figure 1:
Predicted death against recover
Result:
Graph shows that their red line is actual death and the green dots are
our model prediction. There was a high fluctuation between the model and the
actual data.
Model
stage – 2: This model is
based on Recover and confirm case as independent variables.
Table 02:
Analysis of model stage-2
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Parameter
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Coefficient
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Std. Error
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t-ratio
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p-value
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const
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−1865.69
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394.003
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−4.735
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<0.0001
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Recover
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−0.0045133
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0.002721
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−1.659
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0.0993
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Confirmed case
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0.01678
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0.002656
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6.317
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<0.0001
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R-squared
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0.96156
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Figure 2:
Predicted deaths against recovered and confirm case
Result: Graph shows that their
red line is actual death and the green dots are our model prediction. There was
an average fluctuation between the model and the actual data. But compared to
recovering data, this is a significant model in the context of curve fitting.
Model
stage – 3: This model
is based on Recover, confirm case and vaccination as independent variable.
Table 03:
Analysis of model stage-3
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Coefficient
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Std.
Error
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t-ratio
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p-value
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const
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24.2788
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180.460
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0.1345
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0.8932
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Recover
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−0.981214
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0.0133017
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−73.77
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<0.0001
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Confirmedcase
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0.981412
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0.0131452
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74.66
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<0.0001
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ActiveCase
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−0.981422
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0.0133430
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−73.55
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<0.0001
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vaccination
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0.000663519
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0.000290016
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2.288
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0.0236
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R-squared
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0.999140
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Graph 3: Predicated death against recovery, confirmed
cases, and vaccination
Result: The graph shows that the red line
represents the actual deaths, and the green dots are our model's predictions. There
was a minor fluctuation between the model and the actual data. Curve fitting
shows that the model predicts the same as the actual COVID deaths. The stage-3
model is better than the other model.
Software: Many
software and programming tools are used for model analysis and prediction. Our
model was analyzed using multiple linear regression in the GRETL software. The
model essentially uses the least-squares method (OLS) to estimate the effect of
vaccination. In the OLS method, our model predicts a value by minimizing the
model's error.
Conclusion: Model measurement- Model
performance is measured by R2 and fitting in a graph. R2 is the
coefficient of determination found for all 3 stages is based on R2 and curve
fitting, we conclude that the vaccination variable supports the predictive
model value because vaccination plays a major role in COVID-19 vitals.
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Stage
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Variables
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R2
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1st stage
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Recover
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0.955879
(Good)
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2nd stage
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Recover,
confirm
case
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0.961560 (Better)
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3rd stage
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Recover,
Confirm case
and Vaccination
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0.999140
(Best)
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Models
before vaccination are getting weaker and have inconclusive results. We say
that vaccination affects the prediction models; we need to include it as a
parameter for better prediction.
Conflict
of interest Author declares that there is no
conflict of interest.
Funding
information not applicable.
Ethical
approval not applicable.
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