Applied Math and Computer Science Lab, Department of Computer Science, Universidad del Norte, Barranquilla 080001, Colombia.
Department of Psychology, Universidad del Norte, Barranquilla 080001, Colombia.
Int J Environ Res Public Health. 2020 May 22;17(10):3674. doi: 10.3390/ijerph17103674.
It is very common to perform statistical tests to obtain insights about populations based on samples. For instance, in the context of psychology, when a set of instruments are applied to individuals, psychologists typically look for an explanation of particular psychological constructs (variables), such as personality, intelligence, or emotional functioning. It is common to cross statistical information from the results of different psychological tests to measure certain variables or to confirm prior beliefs. Here, we estimate the Joint Probability Density Function of suicide-related vulnerability and protective factors to assess suicide risk in adolescents. A Markov Chain Monte Carlo Method is employed to move away from the typical Gaussian assumption on data. This allows us to estimate probabilities of the development of suicidal ideation based on samples (which form a Markov chain). We employ our proposed statistical method at a high school in Colombia. The results reveal that adolescents can develop suicidal ideation as a consequence of the following factors, together with their corresponding probabilities: poor school performance 52%, low academic expectations 27%, school integration problems 68%, risky eating behaviors (binge-purge) 42%, risky eating behaviors (compensatory measurements) 21%, risky eating habits (restriction) 22%, and low family functionality 16%.
基于样本对总体进行分析通常需要进行统计学检验。例如,在心理学领域,当一组工具被应用于个体时,心理学家通常会寻找特定心理结构(变量)的解释,例如人格、智力或情绪功能。通常会交叉统计不同心理测试的信息,以测量某些变量或确认先前的信念。在这里,我们估计自杀相关脆弱性和保护因素的联合概率密度函数,以评估青少年的自杀风险。采用马尔可夫链蒙特卡罗方法来摆脱数据的典型高斯假设。这使我们能够根据样本(形成马尔可夫链)估计出现自杀意念的概率。我们在哥伦比亚的一所高中应用我们提出的统计方法。结果表明,青少年可能会因为以下因素以及相应的概率而出现自杀意念:学业成绩不佳 52%,学业期望低 27%,学校融入问题 68%,危险饮食行为(暴食-清肠)42%,危险饮食行为(补偿性措施)21%,危险饮食习惯(限制)22%,以及家庭功能低下 16%。