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Advanced Regression Techniques in Statistics II

This course, Advanced Statistics II, taught by Jamie DeCoster, delves into regression analysis and hypothesis testing. Students will learn to describe data sets, perform hypothesis tests, and understand point estimates within the context of regression. Key skills include knowledge of ANOVA, SPSS, Excel, and Word's equation editor. The syllabus covers essential topics like selecting samples, computing test statistics, and interpreting p-values to make informed conclusions about data. Prerequisites include foundational knowledge from PY.602. Join us in Gordon Palmer Hall for an engaging statistical journey!

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Advanced Regression Techniques in Statistics II

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  1. PY 603 – Advanced Statistics II TR 12:30-1:45pm 232 Gordon Palmer Hall Jamie DeCoster

  2. Introduction to Regression • Travel survey • Syllabus • Prerequisites (PY 602 topics) • Describing a data set • Steps to perform a hypothesis test • Hypothesis tests of a point estimate

  3. Prerequisites (PY 602 topics) • Knowledge of ANOVA • Knowledge of SPSS • Knowledge of Excel • Knowledge of Word – equation editor

  4. Describing a Data Set • Data source vs. data set • Cases • Variables • Unit of analysis • Numeric vs. categorical variables

  5. Steps to Describe a Data Set • Provide a general description of the data set • Describe the subject population • Report the unit of analysis for the data set • Name your variables • Describe what the variable measures • State the units of numeric variables or the groups for categorical variables

  6. Steps to Perform a Hypothesis Test • Determine null and alternative hypotheses • Select a sample • Collect data discriminating the hypotheses • Compute a test statistic • Determine the probability of getting the observed statistic if the null was true • State whether you reject or fail to reject the null hypothesis

  7. Hypothesis Test of a Point Estimate • Tests whether an estimated value is significantly different from a constant • Commonly performed in regression • Values of estimates • Slopes of regression lines • General form

  8. Reporting a Hypothesis Test of a Point Estimate • State the null and alternative hypotheses • Report the estimate • Report the standard error of the estimate • Report the df associated with the standard error • Calculate the t statistic • Report the p-value for the t • State your conclusion

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