3.1. High Performance (Level 6)
This study explores the relationship between various factors and academic performance, focusing on dependent and independent variables. The dependent variables include students' performance in reading, mathematics, and science, categorized as either high performance (Level 6) or not high performance (Not Level 6), with the distinction represented as dummy variables. Additionally, the study examines several independent variables that may influence academic outcomes. These include bullying and cyberbullying, measured on a scale from 0 to 16, as well as the availability and use of Information and Communication Technology (ICT) both in school (scale from 0 to 7) and at home (scale from 0 to 6). By analyzing these variables, the research aims to better understand the factors that contribute to students' academic success or challenges (see Table 5).
i) Dependent Variables: Performance (Reading, Mathematics, and Science): Yes (High Performance) and No (Not High Performance). The variable was dichotomized into: Level 6 vs. Not Level 6. Dummy Variable: YES – NO. Level 1a vs. Not Level 1a. Dummy Variable: YES – NO. ii) Independent Variables: (a) Bullying and Cyberbullying (Scale from 0 to 16). (b) Availability and Use of ICT in School (Scale from 0 to 7). (c) Availability and Use of ICT at Home (Scale from 0 to 6).
The results of the probit models (β coefficients, summarized model data, and assigned cases for each model) are presented in Tables 4 (Reading), 5 (Mathematics), and 6 (Science).
Regarding model goodness-of-fit, it correctly classifies 97.7% of cases in Mathematics, 98.9% in Science, and 99.0% in Reading. The proposed model is accepted for all competencies.
According to the omnibus test: (i) The model presents a chi-square of 106.183, with 3 degrees of freedom and p < 0.001, indicating that it helps predict reading competency. (ii) The model presents a chi-square of 435.017 with 3 degrees of freedom and p < 0.001, indicating that it helps predict mathematical competency. (iii) The model presents a chi-square of 187.888, with 3 degrees of freedom and p < 0.001, indicating that it helps predict scientific competency.
The β coefficients indicate that the variables "Availability and Use of ICT in School" and "Availability and Use of ICT Outside of School" are positively related to high performance. In contrast, the variable "Distress from Online Content and Cyberbullying" is negatively related to the probability of achieving high performance.
Among all the selected variables, the one with the strongest explanatory power for high performance (Level 6) in the three competencies is "Availability and Use of ICT at Home" (its exponential of b -Exp(b)- is the farthest from 1). The results obtained are: (i) Reading [β = .208; p < .001]; (ii) Mathematics [β = .350; p < .001]; (iii) Science [β = .224; p < .001].
The relationship is positive and significant, indicating that greater access to and use of ICT at home increases the probability of reaching the highest level in reading, mathematics, and science.
Conversely, "Distress from Online Content and Cyberbullying" has less weight in determining the probability of high performance in all three competencies: (i) Reading [β = -.014; p = .012]; (ii) Mathematics [β = -.032; p < .001]; (iii) Science [β = -.048; p < .001] .
Since the variable "Distress from Online Content and Cyberbullying" has negative and statistically significant coefficients in all three competencies (Reading, Mathematics, and Science), it can be interpreted that a higher level of distress from online content and cyberbullying is associated with a lower probability of achieving high performance (Level 6) in the evaluated competencies.
We can conclude that students with high performance in all three competencies tend to have low levels of bullying and cyberbullying and high availability and use of ICT at home.
All logistic regression coefficients in the three competencies are significant; therefore, the three variables contribute significantly to predicting the probability of Y.
The constant expresses the value of the dependent variable when the independent variables are 0, which is not interpretable.
Additionally, the exponents of each β coefficient are included, expressing the change in "odds" (probability ratio of "occurrence" / "non-occurrence" of an event) when the independent variable increases by one unit. A value greater than 1.00 indicates an increase in the probability of occurrence (matching positive β coefficients). A value below 1.00 corresponds to variables with a negative β coefficient.
Thus, the variable with the greatest weight in the prediction equation is "Availability of ICT Outside of School" in all three competencies (Reading, Mathematics, and Science): (i) Reading [β = .208; p < .001]; (ii) Mathematics [β = .350; p < .001]); (iii) Science [β = .224; p < .001].
Conversely, "Distress from Online Content and Cyberbullying" significantly decreases the probability of achieving high performance in all three evaluated competencies: (i) Reading [β = -.014;
p = .012]; (ii) Mathematics [β = -.032;
p < .001]; (iii) Science [β = -.048;
p < .001].
Table 5.
Variables in the equation (Level 6).
Table 5.
Variables in the equation (Level 6).
| |
β |
Standard error |
Wald |
gl |
Sig. |
Exp(B) |
95% C.I. for EXP(β) |
| Lower |
Higher |
| Reading |
Distress from online content and cyberbullying |
-.014 |
.006 |
6.321 |
1 |
.012 |
.986 |
.975 |
.997 |
| Availability and Usage of ICT at School |
.036 |
.018 |
3.884 |
1 |
.049 |
1.037 |
1.000 |
1.075 |
| Availability and Usage of ICT at Home |
.208 |
.031 |
45.57 |
1 |
<.001 |
1.231 |
1.159 |
1.308 |
| Constant |
-5.926 |
.175 |
1147.49 |
1 |
<.001 |
.003 |
|
|
| Mathematics |
Distress from online content and cyberbullying |
-.032 |
.004 |
71.490 |
1 |
<.001 |
.969 |
.962 |
.976 |
| Availability and Usage of ICT at School |
-.039 |
.011 |
12.922 |
1 |
<.001 |
.962 |
.942 |
.983 |
| Availability and Usage of ICT at Home |
.350 |
.023 |
238.641 |
1 |
<.001 |
1.418 |
1.357 |
1.483 |
| Constant |
-5.279 |
.128 |
1694.914 |
1 |
.000 |
.005 |
|
|
| Science |
Distress from online content and cyberbullying |
-.048 |
.006 |
72.396 |
1 |
<.001 |
.953 |
.943 |
.964 |
| Availability and Usage of ICT at School |
.028 |
.018 |
2.546 |
1 |
.111 |
1.029 |
.994 |
1.065 |
| Availability and Usage of ICT at Home |
.224 |
.031 |
53.302 |
1 |
<.001 |
1.251 |
1.178 |
1.328 |
| Constant |
-5.694 |
.173 |
1083.391 |
1 |
<.001 |
.003 |
|
|
| a. Variables specified in Step 1: Distress from online content and cyberbullying, Availability and Usage of ICT at School, Availability and Usage of ICT at Home. |