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Applied Shared Log-Nonnal Frailty Cox-Proportional Hazard Model to Evaluating the Effect of Vitamin A on the Rat Passive Avoidance Memory

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In this research, the Cox-proportional hazard model is used to investigate the effect of various values of vitamin A (3000, 4500 and 6000 iU kg^-1) and sesame oil on the passive avoidance memory of rats by shuttle box. Present results confirm that various values of vitamin A do not improve the passive avoidance memory of rats (p<0.05). We found that the animals are clustered (p<0.0001) and applyiug shared log-normal frailty for clustering improves present results (p<0.05) such that sesame oil improves the passive avoidance memory task (p<0.05). Therefore we should consider clustering in the analysis of biological data or we should use cloned animals.

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