带有缺失数据线性回归模型的变量选择

通过惩罚估计方程,对响应变量随机缺失下的线性回归模型,给出了一个变量选择方法,并结合局部二次逼近,得到了一个迭代算法,证明了此变量选择方法是相合的并且所得估计达到最优的参数收敛速度,最后通过数据模拟研究了此方法的有限样本性质.     

一类超定双曲型方程组的Riemann-Hilbert边值问题

用函数论的方法研究了一类线性超定双曲型方程组的解,即多双曲复数的一类广义双曲正则函数,在一般柱形域上它的Riemann-Hilbert边值问题的提法,可解条件,解的表示,唯一性和存在性。     

Confirmatory factor analysis of the Test of Performance Strategies (TOPS) among adolescent athletes

The aim of the present study was to examine the factorial validity of the Test of Performance Strategies (TOPS; Thomas et al., ) among adolescent athletes using confirmatory factor analysis. The TOPS was designed to assess eight psychological strategies used in competition (i.e. activation, automaticity, emotional control, goal-setting, imagery, negative thinking, relaxation and self-talk,) and eight used in practice (the same strategies except negative thinking is replaced by attentional control). National-level athletes (n?=?584) completed the 64-item TOPS during training camps. Fit indices provided partial support for the overall measurement model for the competition items (robust comparative fit index?=?0.92, Tucker-Lewis index?=?0.88, root mean square error of approximation?=?0.05) but minimal support for the training items (robust comparative fit index?=?0.86, Tucker-Lewis index?=?0.81, root mean square error of approximation?=?0.06). For the competition items, the automaticity, goal-setting, relaxation and self-talk scales showed good fit, whereas the activation, emotional control, imagery and negative thinking scales did not. For the practice items, the attentional control, emotional control, goal-setting, imagery and self-talk scales showed good fit, whereas the activation, automaticity and relaxation scales did not. Overall, it appears that the factorial validity of the TOPS for use with adolescents is questionable at present and further development is required.     

Reliability and validity of different methods of estimating the one-repetition maximum during the free-weight prone bench pull exercise

ABSTRACT

This study examined the reliability and validity of three methods of estimating the one-repetition maximum (1RM) during the free-weight prone bench pull exercise. Twenty-six men (22 rowers and four weightlifters) performed an incremental loading test until reaching their 1RM, followed by a set of repetitions-to-failure. Eighteen participants were re-tested to conduct the reliability analysis. The 1RM was estimated through the lifts-to-failure equations proposed by Lombardi and O’Connor, general load-velocity (L-V) relationships proposed by Sánchez-Medina and Loturco and the individual L-V relationships modelled using four (multiple-point method) or only two loads (two-point method). The direct method provided the highest reliability (coefficient of variation [CV] = 2.45% and intraclass correlation coefficient [ICC] = 0.97), followed by the Lombardi’s equation (CV = 3.44% and ICC = 0.94), and no meaningful differences were observed between the remaining methods (CV range = 4.95–6.89% and ICC range = 0.81–0.91). The lifts-to-failure equations overestimated the 1RM (3.43–4.08%), the general L-V relationship proposed by Sánchez-Medina underestimated the 1RM (?3.77%), and no significant differences were observed for the remaining prediction methods (?0.40–0.86%). The individual L-V relationship could be recommended as the most accurate method for predicting the 1RM during the free-weight prone bench pull exercise.     

Comparison of different theoretical models estimating peak power output and maximal oxygen uptake in trained and elite triathletes and endurance cyclists in the velodrome

Abstract

The primary objective of this study was to examine the relationship between heart rate intensity and pedometer step counts in adolescents. To determine cardiorespiratory fitness, 106 participants (47 boys, 59 girls, mean age 14.2 years, s = 0.8) completed the Queen's College Step Test and were classified as having low, moderate or high cardiorespiratory fitness. Adolescents also completed a 10-min treadmill trial while wearing a pedometer and heart rate monitor. The participants were instructed to maintain their heart rate between 65 and 75% of their maximum heart rate while running or walking on a treadmill. A heart rate of 65–75% maximum was associated with 146 steps per minute (s = 22) in boys and 137 steps per minute (s = 22) in girls. Results of analysis of variance indicated that there was a main effect for level of fitness (F _2,102 = 9.36, P < 0.001). The correlation between mean steps per minute and estimated maximum oxygen consumption was statistically significant (r = 0.44, P < 0.001). The results from this study suggest that a step rate of 130 steps per minute is equal to 65–75% maximum heart rate in low-fit adolescents and achieving 130 steps per minute could be used as an initial goal to improve fitness.     

二元一次方程组在实际问题中的应用

本文以实际案例为依托,着重从解题思路和解题过程中折射出运用二元一次方程组解决实际问题的五大步骤。通过这种定型化思维的培养,使学生养成用数学建模思想和方程思想来解决生活中的实际问题的思维过程,这也是本文的价值和目的所在。     

非线性二阶边值问题解的存在性

利用上下解方法讨论了一类二阶边值问题解的存在性问题 ,并给出了一种求解方法。     

非线性热传导方程的渐近理论

本文采用整体迭代法,研究非线性热传导方程Cauahy问题的渐近理论,在Sobolev空间中,空间维数n 1时,证明了初值问题的适定性和形式近似解的合理性。     

R—模线性方程组

本文给出了只一模线性方程组解的唯一性条件以及R—模线性方程组的Cramer规则。     

一类具有可变时滞的高阶非线性中立型差分方程正解的存在性

本文研究了一类具有可变时滞的高阶非线性中立型差分方程的正解,得到了这类差分方程最终正解的存在判据．