Workshop Statistics: Discovery with Data/Rossman, Chance ... - Wiley

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Workshop Statistics: Discovery with. Data/Rossman, Chance. I. Exploring Data: Describing patterns and departures from patterns (20%–30%). A. Constructing ...
Advanced Placement Statistics Course Description

I. Exploring Data: Describing patterns and departures from patterns (20%–30%) A. Constructing and interpreting graphical displays of distributions of univariate data (dotplot, stemplot, histogram, cumulative frequency plot) 1. Center and spread 2. Clusters and gaps 3. Outliers and other unusual features 4. Shape

B. 1. 2. 3. 4. 5.

Summarizing distributions of univariate data Measuring center: median, mean Measuring spread: range, interquartile range, standard deviation Measuring position: quartiles, percentiles, standardized scores (z-scores) Using boxplots The effect of changing units on summary measures

C. Comparing distributions of univariate data (dotplots, back-to-back stemplots, parallel boxplots) 1. Comparing center and spread: within group, between group variation 2. Comparing clusters and gaps 3. Comparing outliers and other unusual features 4. Comparing shapes

Workshop Statistics: Discovery with Data/Rossman, Chance Text pp. 140-149, 567-592 Wiley Student Companion Site Mini Lab Unit 1, Topic 1 & Unit 7 Topic 1 Online Lab #7 Unit 1 & 7 Excel, SPSS, Fathon, and Graphic Calculator Manuals

Text pp. 151-195 Wiley Student Companion Site Mini Lab Unit 2, Topic 2 Unit 2 Excel, SPSS, Fathon, and Graphic Calculator Manuals

Text pp. 441-517 Wiley Student Companion Site Mini Lab Unit 5, Topics 21-23 Unit 5 Excel, SPSS, Fathon, and Graphic Calculator Manuals Online Lab #6

D. Exploring bivariate data 1. Analyzing patterns in scatterplots 2. Correlation and linearity 3. Least-squares regression line 4. Residual plots, outliers and influential points 5. Transformations to achieve linearity: logarithmic and power transformations

Text pp. 567-667

E. 1. 2. 3. 4.

Exploring categorical data Frequency tables and bar charts Marginal and joint frequencies for two-way tables Conditional relative frequencies and association Comparing distributions using bar charts

Text pp. 99-149

II.

Sampling and Experimentation: Planning and conducting a study (10%–15%)

A. 1. 2. 3. 4.

Overview of methods of data collection Census Sample survey Experiment Observational study

B. Planning and conducting surveys 1. Characteristics of a well-designed and well-conducted survey 2. Populations, samples and random selection 3. Sources of bias in sampling and surveys 4. Sampling methods, including simple random sampling, stratified random sampling and cluster sampling

Wiley Student Companion Site Mini Lab Unit 7, Topics 26-29 Unit 7 Excel, SPSS, Fathon, and Graphic Calculator Manuals Topic 32 Online Additional Topics

Wiley Student Companion Site Mini Lab Unit 2, Topics 6-7 Unit 2 Excel, SPSS, Fathon, and Graphic Calculator Manuals Online Lab #2

Text pp. 53-76 Wiley Student Companion Site Mini Lab Unit 1, Topic 4 Unit 1 Excel, SPSS, Fathon, and Graphic Calculator Manuals Text pp. 77-79 Wiley Student Companion Site Mini Lab Unit 1, Topic 5 Unit 1 Excel, SPSS, Fathon, and Graphic Calculator Manuals

C. 1. 2. 3. 4. 5.

Planning and conducting experiments Characteristics of a well-designed and well-conducted experiment Treatments, control groups, experimental units, random assignments and replication Sources of bias and confounding, including placebo effect and blinding Completely randomized design Randomized block design, including matched pairs design

D. Generalizability of results and types of conclusions that can be drawn from observational studies, experiments and surveys©

Text pp. 80-97 Wiley Student Companion Site Mini Lab Unit 1, Topic 5 Online Lab #1 Unit 1 Excel, SPSS, Fathon, and Graphic Calculator Manuals

Text pp. 33-52 Wiley Student Companion Site Mini Lab Unit 1, Topics 2-3 Unit 1 Excel, SPSS, Fathon, and Graphic Calculator Manuals

III. Anticipating Patterns: Exploring random phenomena using probability and simulation (20%–30%) A. Probability 1. Interpreting probability, including long-run relative frequency interpretation 2. “Law of Large Numbers” concept 3. Addition rule, multiplication rule, conditional probability and independence 4. Discrete random variables and their probability distributions, including binomial and geometric 5. Simulation of random behavior and probability distributions 6. Mean (expected value) and standard deviation of a random variable, and linear transformation of a random variable

Text pp. 223-267 Wiley Student Companion Site Mini Lab Unit 3, Topics 11-12 Online Lab #3 Topics 30-31 Online Additional Topics Unit 3 Excel, SPSS, Fathon, and Graphic Calculator Manuals

B. 1. 2.

Combining independent random variables Notion of independence versus dependence Mean and standard deviation for sums and differences of independent random variables

Text pp. 15-32, 101-125

C. 1. 2. 3.

The normal distribution Properties of the normal distribution Using tables of the normal distribution The normal distribution as a model for measurements

Text pp. 247-267

D. 1. 2. 3. 4. 5. 6. 7. 8.

Sampling distributions Sampling distribution of a sample proportion Sampling distribution of a sample mean Central Limit Theorem Sampling distribution of a difference between two independent sample proportions Sampling distribution of a difference between two independent sample means Simulation of sampling distributions t-distribution Chi-square distribution

Wiley Student Companion Site Mini Lab Unit 1 Topic 2 Unit 1 Excel, SPSS, Fathon, and Graphic Calculator Manuals

Wiley Student Companion Site Mini Lab Unit 3, Topics 12-13 Unit 3 Excel, SPSS, Fathon, and Graphic Calculator Manuals

Text pp. 269-308 Wiley Student Companion Site Mini Lab Unit 3, Topics 13-14 Topics 32-33 Online Additional Topics Unit 3 Excel, SPSS, Fathon, and Graphic Calculator Manuals

IV. Statistical Inference: Estimating population parameters and testing hypotheses (30%– 40%) Statistical inference guides the selection of appropriate models. A. Estimation (point estimators and confidence intervals) 1. Estimating population parameters and margins of error 2. Properties of point estimators, including unbiasedness and variability 3. Logic of confidence intervals, meaning of confidence level and confidence intervals, and properties of confidence intervals 4. Large sample confidence interval for a proportion 5. Large sample confidence interval for a difference between two proportions6. Confidence interval for a mean 7. Confidence interval for a difference between two means (unpaired and paired) 8. Confidence interval for the slope of a least-squares regression line B. Tests of significance 1. Logic of significance testing, null and alternative hypotheses; p-values; one- and twosided tests; concepts of Type I and Type II errors; concept of power 2. Large sample test for a proportion 3. Large sample test for a difference between two proportions 4. Test for a mean 5. Test for a difference between two means (unpaired and paired) 6. Chi-square test for goodness of fit, homogeneity of proportions, and independence (one- and two-way tables) 7. Test for the slope of a least-squares regression line

Text pp.309-353 Wiley Student Companion Site Mini Lab Units 3-4, Topics 15-16 Topic 31 Online Additional Topics Online Lab #4 Units 3-4 Excel, SPSS, Fathon, and Graphic Calculator Manuals

Text pp. 355-367 Wiley Student Companion Site Mini Lab Unit 4, Topic 17 Units 4 Excel, SPSS, Fathon, and Graphic Calculator Manuals