这是个没主语的句子,“Through the analysis of their schoolwork, interpersonal relationships, self-image and performance, physical health and economic status”, 这整个都是修饰语.
那么既然没主语,就根本没法谈谓语加不加s了.
另外这个句子里还有不少其它的小问题,如果你想保留这个句子的意思,可以改为：
Through the analysis of various aspects of their lives including schoolwork, interpersonal relationships, self-image and performance, physical health and economic status, we found that contemporary college students have a higher degree of life satisfaction and happiness.