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A time-series analysis study on the correlation between college students’ mental health status and the ideology courses in colleges and universities

  
25 sept. 2025
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Figure 1.

Flowchart of the classic Apriori algorithm
Flowchart of the classic Apriori algorithm

Figure 2.

Basic model of association rules mining
Basic model of association rules mining

Figure 3.

The time series of the two studies of the severity of depression
The time series of the two studies of the severity of depression

Some students’ psychological problems

School number 1 2 3 4 5 6 7 8 9 10
antagonism N N Y N Y N Y N N N
anxiety Y N N N N Y N N Y N
insanity N N N N N N N Y N N
horror N N N Y Y N N N N Y
paranoia N N N N N N N N N N
Obsessive-compulsive disorder N Y N N N Y N Y N N
somatization N N N N Y N N N Y N
Interpersonal relation N Y Y N N N Y N N N
depression N N N N N N Y N N Y

Association rule

Association rule support confidence
Social responsibility => Obsessive-compulsive disorder 0.85 0.16
A positive outlook on life => Obsessive-compulsive disorder 0.95 0.20
Emotional management => depression 0.86 0.25
Pressure adjustment => somatization 0.91 0.45
Interpersonal communication => Interpersonal sensitivity 0.93 0.32
Pressure adjustment => anxiety 0.92 0.40
A positive outlook on life => depression 0.85 0.16

Test results of each model

Model class Adjusted R2 AIC SC
ARIMA (1,2,0) 0.5213 -5.7132 -5.7012
ARIMA (2,2,0) 0.5794 -5.8315 -5.7123
ARIMA (22,2,0) 0.5412 -5.7103 -5.6713
ARIMA (3,2,0) 0.6431 -6.0231 -5.9031

Estimate of the model parameters

Model class Φ1 Φ2 Φ3 θ1
ARIMA (1,2,0) -0.6531
ARIMA (2,2,0) -1.5361 -0.6512 0.9825
ARIMA (22,2,0) -0.9213 -0.2712
ARIMA (3,2,0) -1.0631 -0.7531 -0.3812

Part of the link after the connection

Code number 1 2 3 4 5 6 7 8 9 10
gender female man man female female man man female man female
Is it only Y N Y Y N N Y N Y Y
Single parent N Y N N Y N N Y Y N
…… …… …… …… …… …… …… …… …… …… ……
horror 1.25 1.29 0.91 1.31 1.31 1.31 1.55 0.78 1.26 1.28
paranoia 1.12 2.85 1.34 1.12 1.68 1.72 1.26 1.05 0.9 1.15
Obsessive-compulsive disorder 1.22 3.02 0.83 1.58 1.46 1.55 2.63 1.47 1.35 2.76
somatization 1.34 1.23 1.59 1.28 1.18 1.91 1.05 1.52 1.78 1.89
Interpersonal sensitivity 1.6 1.77 1.19 2.17 1.65 0.95 1.23 1.63 1.25 1.47
depression 1.17 2.63 1.5 1.55 0.91 1.59 0.96 1.12 1.62 1.4

Prediction of the ARIMA model

sequence Sample period actual value Predictive value relative error%
A 50 0.4512 0.4492 -0.004
51 0.4523 0.4412 -0.025
B 52 0.4812 0.5123 0.065
53 0.4612 0.5034 0.091