In this work, the catalytic activity of modified glassy carbon electrodes with xPd–yLaNi_0.5Fe_0.5O₃–chitosan as an anodic catalyst for the polymeric fuel cell was investigated with cyclic voltammetry and controlled potential coulometry techniques; x and y are the mass loading of noble metal and mixed oxide, respectively. For the first time, the statistical regression mixed models were used to compare the electrocatalytic ability of nanocomposites in a fuel cell. The nonlinear regression model of y_i,j = f(x_i, (s_j)) + ε_i was considered and simulated, where X_i is a random variable, s_j is a covariate value, ε_i is a normal random error variable, and θ is a P-dimensional vector of parameters of the mentioned model. A strategy to make a mixed model was proposed by using the maximum likelihood or mean square error methods. Then, the appropriate linear and nonlinear models were applied to the electrochemical results. The equations of current density vs time were obtained via the fitting and simulation of experimental data at different potentials and mass loadings of components. The amounts of transferred charge during the methanol oxidation were calculated vs time through the integration of mentioned equations at different potentials and mass loadings of components.

中文翻译：

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通过一般回归模型分析催化剂行为，参数取决于协变量

在这项工作中，采用循环伏安法和可控电库仑法研究了以x Pd- y LaNi _0.5 Fe _0.5 O _3-壳聚糖为阳极催化剂的改性玻璃碳电极对聚合物燃料电池的催化活性。x和y分别是贵金属和混合氧化物的质量负荷。统计回归混合模型首次用于比较燃料电池中纳米复合材料的电催化能力。y _i，j = f（x _i，（s）的非线性回归模型_Ĵ））+ε_我被认为和模拟，其中X_我是一个随机变量，小号_Ĵ是协变量值，ε_我是正常的随机误差变量，θ是上述模型的参数的P维向量。通过使用最大似然或均方误差方法，提出了一种制造混合模型的策略。然后，将适当的线性和非线性模型应用于电化学结果。通过在不同电势和组件的质量负载下对实验数据进行拟合和仿真，获得了电流密度与时间的关系式。通过在不同电势和组分的质量负载下对上述方程式进行积分，计算出甲醇氧化过程中转移的电荷量与时间的关系。