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Statistics Topics for Test 1 1. Descriptive Statistics a. frequency charts b. Histograms c. Boxplots e. Measures of Central tendency I. Mean ii. Median iii. Mode f. Measures of Dispersion i. Variance ii. Standard Deviation iii. Range Make sure you know the difference between population and sample. Know the notation 2. Probability a. Terminology : Sample space, event, mutually exclusive independent b. Basic probability formulas: I. P(AB) = P(A) + P(B) - P (AB) ii. If A and B are Mutually Exclusive, P(AB) = 0 and P(AB) = P(A) + P(B) iii. P(A) = 1 - P(A’) iv. P(A|B) v. vi. vii. = P(AB) P(B) P(AB) = P(A|B)P(B) = P(B|A)P(A) A and B are independent if and only if P(A|B) = P(A) or P(AB ) = P(A)P(B) 0 < P(A) < 1 c. Some basic logical identities that might help you: DeMorgan’s Laws i. P( (AB)’ ) = P( A’ B’ ) ii. P( (AB)’ ) = P( A’B’ ) d. Remember : P ( “at least one....” ) = 1 - P(“none”) P(“neither A nor B “ ) means P(A’ B’) e. Often probabilities are easiest to figure out if if you make a chart or a tree diagram f. Sensitivity / specificity of a test. Predictive value of a diagnostic test. 3. Random Variables a. Discrete vs. Continuous random variables b. Probability function (distribution) of a discrete random variable Know the range, the probability function and be able to represent the probability function as a picture c. Expected value (mean) , Variance and standard deviation of a discrete random variable d. Discrete uniform distribution : mean and variance e. Binomial distribution I. How to recognize ii. How to compute - formula and chart iii. Mean and variance f. Poison distribution I. How to recognize ii. How to compute - formula and chart iv. Mean and variance Make sure that you can solve problems with tree diagrams, charts, and Venn(circle) diagrams.