| L1 |
Introduction to Course |
Introduce instructors; how the course is set up; describe "Peer Instruction" and expectations; divide into groups for recitations or labs. Give first assignment requesting areas of interest and the reading for next lecture on arguments. What is statistics? The three parts of statistics: collection, evaluation, and drawing conclusions. Discuss the schematic diagram for our study of statistics. (PDF) |
| L2 |
What is an Argument? |
Premise; conclusion; deductive vs. inductive; falsehoods and fallacies; discuss argument assignment and the link to quantitative reasoning. (PDF) |
| L3 |
Measurement |
Variable; indicator; observation; construct; validity; reliability; bias; ikert scale; qualitative; quantitative; discrete; continuous; nominal; ordinal; interval; ratio; indices. (PDF) |
| L4 |
Research Design |
Research design and its implications for analysis. Begin univariate data analysis segment. (PDF) |
| L5 |
Frequency Distributions, Histograms, Stemplots, Boxplots, Measures of Dispersion |
Summarizing and presenting univariate data; stem and leaf plots; frequency distributions; relative frequency; cumulative frequency; ogives; pareto plots; histograms; pie charts; boxplots. Mean; median; mode; the five number summary; variance and standard deviation; grouped data. (PDF) |
| L6 |
Introduction to Probability |
Basics of probability theory; general rules of probability. (PDF) |
| L7 |
The Normal and Binomial Distributions |
Characteristics of the normal distribution; z-scores; binomial probabilities. (PDF) |
| L8 |
Sampling |
Sampling and probability; bias in sampling; strategies of sampling - random, systematic, stratified, cluster, quota, self-selected, purposive; sampling in the U.S. census; sampling strengths and weaknesses; geographic aggregation; margin of error. (PDF) |
| L9 |
Basics of Confidence Intervals and Tests of Significance |
Introduction to inference; estimating a population mean; estimating a population standard deviation; the standard error; t distribution; estimating with confidence; how confidence intervals behave. (PDF) |
| L10 |
Recap: CIs and Inference for Means |
Review the theory of sampling distributions and confidence intervals for means. (PDF) |
| L11 |
CIs and Inference for Proportions and Hypothesis Testing |
Proportions: estimating for population, confidence intervals. (PDF)
Hypothesis testing: The null and alternative hypotheses; hypothesis testing with samples; one and two tailed tests; determining sample size; p-Values. |
| L12 |
Testing the Difference Between Two Groups |
Issues with inference. Differences of means: independent and dependent samples, equal vs. unequal variances. (PDF) |
| L13 |
Testing the Difference Between Two Groups (cont.) |
Differences of proportions. Discuss mid-term and paper requirements. (PDF) |
| L14 |
Review for Mid-term |
Review of all major concepts to be covered on the mid-term exam. |
| L15 |
Mid-term Exam |
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| L16 |
Analyzing Categorical Data |
Constructing contingency tables - 2 way; marginals; percentage difference; larger contingency tables; chi-square statistical significance. (PDF)
Discuss final paper descriptive analysis due. |
| L17 |
Scatterplots and Correlation |
Exploring bivariate relationships; r. (PDF) |
| L18 |
Introduction to Regression Analysis |
Simple linear regression; terminology and interpretation; causation vs. association; predicted values; r square. (PDF) |
| L19 |
Regression (cont.) |
The assumptions of linear regression. (PDF) |
| L20 |
Multiple Regression |
Partial slopes, adjusted R2, and assumptions for multiple regression. (PDF) |
| L21 |
Multiple Regression (cont.) |
Constructing predictive models; SPSS output; regression output and data management. (PDF) |
| L22 |
Spatial Data Analysis |
GIS; GeoDa; spatial autocorrelation. |
| L23 |
The Census |
How the Census is conducted, organized, and used in practice. |
| L24 |
Quiz |
Regression quiz and Q&A on final paper. |
| L25 |
Research Design and Regression Analysis |
Example application of research involving regression technique applied to a contemporary urban topic. |
| L26 |
Wrap-up |
Review and wrap-up. Putting your QR skills to work. |