Student Seminar Series - August 28, 2007
University of Minnesota
School of Statistics
College of Liberal Arts

Exploratory Analysis of Circadian Rhythm in Tantrum Frequency and Tantrum Duration


Jinmei Qi


Tuesday, August 28, 2007
10:30 AM, 110 Ford Hall
Minneapolis, East Bank Campus

Refreshments at 10:00 AM
300 Ford Hall


Abstract


Temper tantrums are a normal part of growing up in young children and they can be very frustrating for parents to handle. Good knowing 
of tantrums can help parents be in control of the situation and to predict children's future antisocial behaviors. The two main features of
tantrum are duration and frequency. In this project, the analysis focused on tantrum temporal patterns, which exist within one day, as well
as across three weeks. The data came from the telephone interviews of parents of 18 through 60 month old children in Wisconsin. Statistical
analysis showed that the tantrum frequency within a day was fit to a bimodal distribution and the tantrum frequency across three weeks
followed a normal mixture model with 3 components. There was no circadian rhythm in tantrum duration within a day as well as across three
weeks. Determination of best model fit among the unimodal, bimodal and multimodal distributions was based on Bayesian Information
Criterion (BIC). This analysis was carried out using the MCLUST package on R. We also concluded that most tantrum durations can not
be predicted based on previous tantrum durations by using time-series autoregression.