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Systematic reviews are carefully synthesized research evidence designed to answer focused clinical questions. Systematic reviews (also known as evidence summaries and integrative reviews) implement recently

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Systematic reviews are carefully synthesized research evidence designed to answer focused clinical questions. Systematic reviews (also known as evidence summaries and integrative reviews) implement recently developed scientific methods to summarize results from multiple research studies.

High-quality systematic reviews and meta-analyses take great care to find all relevant studies, critically assess each study, synthesize the findings from individual studies in an unbiased manner, and present balanced important summary of findings with due consideration of any flaws in the evidence.

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Markov inequality For a random variable X 2 0 with mean / > 0, and any numbert > 0: P(X >D)SH. Note that the Markov inequality is restricted to non-negative random variables. Chebyshev inequality For a random variable X with (finite) mean / and variance of, and for any number t 2: 0, P(X -#| 20)ST. Remark: When Markov inequality is applied to (X" - /)", we obtain Chebyshev's inequality. Markov inequality is also used in the proof of Hoeffding's inequality. Hoeffding versus Chebyshev 4 points possible (graded) Let X], X2, ...;X, " Unif (0, b) be n i.i.d. uniform random variables on the interval [0, b] for some positive b. Suppose n is small (i.e. in is the covariant matrix. Note that det > is the determinant of matrix E. And E(X1 ) E(X 2) H = E(Xk) (a) Consider the bivariate case where k = 2. Let of and o2 be the standard deviations of r.v. X1 and X2 respectively. Let p be their correlation coefficient. Determine the form of E, the covariate matrix, in terms of 61, 02 and p12. (b) If X] ~ N(0, 3), X2 ~ N(0, 4), p = -1/4 and it is known that X = [X1 X2]" has a bivariate normal distribution. Determine the joint pdf of (X1, X2).28. Making decisions based on probability involves: a) Descriptive Statistics b) Statistical Inference c) Conditional Probability d) Response bias 29. Which of the answers below are methods of Power transformation? a) Square root, Cube root, Logarithm b) Median, Mode, Mean c) Slope, y-intercept d) None of the above

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