Based　on　the　generalized　estimation　equations　(GEE)　and　the　quadratic　inference　functions　(QIF)　methods,　a　bias-corrected　generalized　empirical　likelihood　was　proposed　to　make　statistical　inference　for　the　single-index　model　with　longitudinal　data.　The　maximum　empirical　likelihood　estimator　and　the　bias-corrected　generalized　empirical　log-likelihood　ratio　statistics　for　the　unknown　index　parameter　in　the　model　were　obtained.　It　is　proved　that　the　maximum　empirical　likelihood　estimator　is　asymptotically　normal　and　the　proposed　statistics　are　asymptotically　chi-square　distributed　under　certain　conditions,　and　hence　they　can　be　applied　to　construct　the　confidence　region　of　the　index　parameter.　©,　2015,　Beijing　University　of　Technology.　All　right　reserved.