Explain why the coefficient of variation can be used to compare the
variability of two variables that are measured by different units and have
different means and different standard deviations. (6%)
Consider the expression Cov(aX, bY + c) for random variables X and Y ,
where a , b, and c are constants.
(a) Show that Cov(aX, bY + c) = abCov(X,Y ) (3%)
(b) Give the geometric interpretation for the equality given in (a). (6%)
Please explain the following terms in detail and state the relationship for
each pair: (20%)
(a) Standardized Residual vs. Studentized Deleted Residual.
(b) Prior Distribution vs. Posterior Distribution
(c) Binomial Population vs. Multinomial Population
(d) Normal Distribution vs. Multinormal Distribution
(e) Confidence Interval vs. Prediction Interval
(f) Outlier vs. Influential Observation
(g) Autocorrelation vs. Multicollinearity
(h) Standard Deviation vs. Standard Error
(i) Type Error vs. Type II Error
(j) Comparisonwise Type I Error Rate vs. Experimentwise type I Error
Rate
Please State the usefulness of χ 2 test, i.e., under what kinds of situations,
and for what objectives, will we use χ 2 test? Also, state the assumptions
and testing processes in detail. (10%)
Please state the pros and cons for using non-parametric analysis? (5%)
可觀看題目詳解,並提供模擬測驗!(免費會員無法觀看研究所試題解答)