"Data, data, everywhere, but not a thought to think."
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(Provided at beginning of year.) (The Practice of Statistics, by Yates, Moore, Starnes)
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[Work with activities and concepts in Chapter 1] |
[Prepare for test on Chapter 1] |
[Density curve, mean and median of density curve] |
[Work with activities and concepts relating to density curves] |
[Normal distributions, inflection points, percentiles, 68-95-99.7 rule] |
[Standard normal distribution, standardized observations, z-scores, standard normal table] |
[Work with activities and concepts introduced in Assignment # 11] |
[Work with activities and concepts in Chapter 2, noting normal probability plot, page 94] |
[Prepare for test on Chapter 2] |
[Response variable, explanatory variable, scatterplot] |
[Interpreting scatterplots, positive association, negative association, outlier] |
[Correlation, facts about correlation, least-squares regression line, equation of regression line] |
[Work with activities and concepts developed in Chapter 3 to date] |
[Coefficient of determination (r2), residuals, residual plot, outliers and influential observations] |
[Work with activities and concepts developed in Chapter 3] |
[Work with activities and concepts from Chapter 3] |
[Work with activities and concepts from Chapter 3]
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[Prepare for test on Chapter 3] |
[Modeling nonlinear data, exponential function, power function, linear growth, exponential growth, residuals] |
[Power regression, logarithms] |
[Extrapolation, lurking variables, association is not causation, common response, confounding] |
[Work with activities and concepts relating to Chapter 4] |
[Discussion of relations in categorical data, marginal distributions, Simpson's paradox] |
[Prepare for test on Chapter 4] |
[Sampling, voluntary response sample, experiment, confounding, statistical inference, population, sample design, convenience sampling, simple random sample, random digits, probability sample, stratified sample, multistage sample design, undercoverage, nonresponse, response bias, wording of questions] |
[Observational study, experiment, experimental units, subjects, treatment, control group, bias, completely randomized design, statistical significance, principles of experimental design (control, randomization, replication), hidden bias, double-blind experiment, block, block design, matched pairs design] |
[Work with activities and concepts relating to Chapter 5 material studied to date.] |
[Probability model, simulation, basics of simulation, simulations with calculator] |
[Randomness, the language of probability, independent trials] |
[Probability models, sample space, tree diagram, multiplication principle, sampling with replacement, sampling without replacement] |
[Event, probability rules, complement of an event, disjoint event, addition rule for disjoint events, Venn diagram, finite sample space, equally likely outcomes] |
[Independent events, multiplication rule for independent events, conditional probability] |
[Work with activities and concepts related to Chapter 6] |
[Prepare for test on Chapter 6] |
[Random variable, discrete random variable, probability distributions] |
[Continuous random variables, uniform distributions, normal distributions, probability histograms] |
[Class activity relating to probability] |
[Mean of a random variables, expected value] |
[Work with activities and concepts related to Chapter 7] |
[Law of large numbers, rules for means of random variables, variance and standard deviation of a discrete random variable, rules for variances of random variables] |
[Work with activities and concepts related to Chapter 7] |
[Prepare for test on Chapter 7] |
[Binomial distributions, binomial setting, independent events, binomial random variable, binomial probability, cumulative distribution function, binomial coefficient] |
[Mean and standard deviation of a binomial random variable] |
[Work with activities and concepts related to Chapter 8 material covered to date] |
[Work with activities and concepts relating to Chapter 8 material covered to date.] |
[Geometric distributions, geometric setting, rules for calculating geometric probability, mean of a geometric random variable] |
[Prepare for test on Chapter 8] |
[Parameter, statistic, sampling variability, sampling distribution, bias of a statistic, unbiased statistic, variability of a statistic] |
[Sampling distribution of p(hat), mean of a sampling distribution, standard deviation of sampling distribution, normal approximation for p(hat), rules of thumb (#1, #2) |
[Work with activities and concepts relating to Chapter 9 material covered to date] |
[Mean and standard deviation of a sample mean, sampling distribution of a sample mean, Central Limit Theorem,, law of large numbers] |
[Work with activities and concepts relating to Chapter 9] |
[Work with activities and concepts relating to Chapter 9] |
[Prepare for test on Chapter 9] |
[Statistical confidence, confidence interval for mean, margin of error] |
[Level C confidence interval, critical values, formula for confidence interval, sample size for desired margin of error] |
[Null hypothesis, alternate hypothesis, P-value, statistical significance, one-sided alternate hypothesis, two-sided alternate hypothesis, level of significance, z test statistic] |
[Z-test for population mean, confidence interval and two-sided tests] |
[Statistical significance is not the same as practical significance] |
[Type I error, Type II error, power of a test] |
[Work with activities and concepts relating to Chapter 10] |
[Prepare for test on Chapter 10] |
[Simple random sample, normal distribution, standard error, t distribution, one-sample t statistic,, degrees of freedom, one-sample t procedures, P-value] |
[Work with activities and concepts relating to Chapter 11 material covered to date] |
[Matched pairs design, matched pairs to procedures,, P-values, confidence intervals] |
[Robustness of t procedures, practical guidelines for using t, degrees of freedom] |
[Comparing two means, two-sample problems, assumptions for comparing two means, sampling distribution for difference of means, two-sample z statistic, two-sample t statistic, two-sample t procedures] |
[Prepare for test on Chapter 11] |
[Inference for population proportion, assumptions for inference about a proportion, standard error (SE) of p(hat)] |
[Z procedures, large-sample inference for a population proportion, P-value, hypotheses testing] |
[Choosing sample size, sample size for desired margin of error] |
[Comparing two proportions, sampling distribution of proportion differences, confidence intervals for proportion differences, significance test for comparing two proportions] |
[Work with activities and concepts relating to Chapter 12 material] |
[Work with activities and concepts relating to Chapter 12 material] |
[Work with AP exam questions from previous years] |
[Work with AP exam questions from previous years] |
[Chi-square test for goodness of fit, chi-square statistic, degrees of freedom, properties of chi-square, calculation of chi-square statistic] |
[Inference for two-way tables, multiple comparisons, expected counts, calculation of chi-square statistic, degrees of freedom with r rows and c columns] |
[Cell counts required for chi-square test, work with chi-square examples] |
Assignment #85 (no link here): As time allows, I try to cover most of the material in Section 14.1. Reading computer output is important here. There are good examples on pages 763 (where calculation of confidence interval for regression line slope is illustrated) and on page 767 (where a significance test for regression slope is illustrated). The following documents in the Writings and Reflections link off the Hideaway home page relate to this section:
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