Jargon for Statistics I. BEFORE MIDTERM Descriptive versus inferential statistics, Population, sample, data frame, Statistic, parameter, Positive Skewness, Negative Skewness. Time series data, cross-sectional data, non-stationary series Interval data, ratio data, levels of measurement, Nominal data, ordinal data, relative frequency, Placebo Effect, Simpson's paradox, Requirments for a good graph (source, heading, axes labels, scale, legend etc) ( http://exploringdata.cqu.edu.au/sim_par.htm ) quantitative and qualitative data. Frequency distribution, probability distribution, Outlier, measures of dispersion (variance, standard deviation, Range, IQR, etc) Empirical Rule, Z-score, two-sigma Rule. MAD (mean absolute deviation) Measures of central tendency (mean, median, mode), Weighted Average and examples (Dow Jones Industrial, S&P 500, Consumer Price Index) Percentile, coefficient of variation. Moving average. Stratified random sample. Here a typical question will be: Population has 25 students of whom 15 are white and 10 black. A stratified sample of size 10 should have how many whites / blacks? Answer: Let N=population size, N1=blacks=10, N2=whites =15, n=sample size=10. Note that N1 /N =(10/25)*10 or 4 blacks and How many whites in the sample? (N2/N)*n= (15/25)*10 or 6 Verify that 6+4=10. We aim to have a representative sample AFTER MIDTERM FINAL exam Part I will be during the class on Monday, Dec. 10, as a webtest on the computer software Part I of the Final Exam is set at 30% of your grade will focus on the following lessons from the Hawkeslearning computer software 4.1, classical probability 4.2 Probability Rules 4.3 Counting Rules Chapter 4 Review and test 5.1 Discrete Random Variable 5.2, Binomial 5.3, Poisson 5.4, hypergeometric 6.2 Reading the Normal curve Table 6.3, normal distribution word problems 6.4, find z 7.3, sampling dist means 7.4 Approximating the Binomial Dist using the Normal Distribution Jargon Items for Part 2 of the Final Exam, set at around 9% of your grade Sampling distribution (size of the sample space when n items are chosen for a sample from a population of N items answer= N C n, enumerate these if N and n are small) Expected value of a random variable. Sharpe Ratio In what sense is it irrational to do Casino gambling? [Hint: check information in textbook on expected value, note that expected value is negative for gambling] Statistical independence [Hint: check contingency tables discussion where it says that independence means unconditional probability equals the conditional probability] Conditional probability, Marginal probability, compound event, simple event, Examples of discrete random variables and continuous random variables. Uniform random variable. Simple random sample. Bayes Theorem Statement. Definitions: Posterior probability, Prior Probability, Likelihood function Central Limit Theorem. Standard Normal Variable (=z) Sampling Frame. FPC = Finite population correction = (N-n)/(N-1) Correction for continuity (Check textbook under continuity correction)