Describe each of the following methods of statistical inference in detail (Please try to use layman's terms).
1) Cox proportional-hazards model
2) Pearson correlation methods
3) Kruskal- Wallis test
Explain how each method could be used in nursing or nursing research. Cite any sources used, and please, no Wikipedia.© BrainMass Inc. brainmass.com October 25, 2018, 8:36 am ad1c9bdddf
Cox Proportional-Hazards Model
Cox proportional-hazards model is a life table analysis that is used to evaluate the importance of different covariates in the survival time of object by implementing the hazard function. As per this model, the predictor variables have a constant effect over the time that shows a linear relationship between variables and end point. In this model, independent variables are used to identify the hazard of occurrence of an event at a specific period of time (Acton, 2012). It is useful in determining survival score that compares the survival time of control and experimental groups.
This model can be used in nursing and nursing research studies effectively. It allows the researchers to analyze various determinants of survival movements in a framework. It provides several implications for long-term care policies and assists to improve the appraisal ability of nursing practitioners. For example, by using this model, the risk of nursing home admission for patients can be analyzed effectively in long-term care plans. In nursing researches, this model is used to compare the survival time of ...
Three methods of statistical interference are determined.
Statistical Inference (Maximum Likelihood Estimator for CDF)
Consider an independent and identically distributed (iid) sample, X1,...., Xn, from a distribution with pdf (see attachment for equations). Use this information to answer the following questions:
a. Find the method of moments estimator of theta.
b. Find the maximum likelihood estimator of theta
c. Find the bias and mean squared error of the MLE.
d. Find the maximum likelihood estimator of the median of the distribution
e. Find a (possibly multidimensional) sufficient statistic for theta.