Prof. H. Joseph Newton

Content of Final Exam

- Schedule:
- Tuesday, 4/30: Walk
- Review Session: Thursday, 5:30pm, 104 Halbouty (next to Blocker).
- Last homework (Problems 8.40, 42, 56) due 5 pm Monday 5/6
- Final: Tuesday 5/7 3:30 HECC 204

- Notes, Text, Review Session:
- Notes: Everything except Week 11
- Text: Chapter 1, 2 (except 2.3, 2.4), 3.4, 4, 5.1, 5.2, 6.1, 6.2, 7.1 (unstarred sections), 7.2, 7.3, 8.1, 8.2, 8.3, 9.1 (unstarred sections), 10.1 (unstarred sections, no contrasts or multiple comparisons), 10.2.

- Emphasis of Exam:
- 200 points, half from exams 1 and 2, half on material since second exam.
- There will be problems similar to the ones on the second exam that used the four test of hypotheses graphs. Also, interpreting confidence intervals, p-values.

- Topics:
- Basic concepts
- Population and sample, Parameters and statistics, and so on.

- Stem and leaf, histogram, box plots
- Mean, median, mode, percentiles
- Range, variance, standard deviation
- Chebychev and empirical rules
- Scatterplots, correlation coefficient
- Correlation and causation
- Probability
- Sample spaces
- Probability rules, unions and intersections
- Mutually exclusive and independent events
- Random variables, mean, variance

- Binomial, hypergeometric, negative binomial, Poisson
- Normal distribution
- Transformed statistics
- Sampling distributions
- Properties of Z, t, chi-square, and F curves
- Critical values and percentiles
- The 11 cases for confidence intervals and tests of hypotheses
- Central limit theorem
- Properties of point estimators (unbiased, minimum variance)
- Point estimators for the 11 situations, including pooled estimates of variance and common proportions.
- Interpreting confidence intervals
- The algebra to get confidence intervals
- Testing hypotheses:
- Null and alternative hypotheses
- Type I and Type II errors
- p-values
- Interpreting Stataquest output

- One-Way ANOVA:
- Null and alternative hypotheses
- Between and within sample variation
- Stataquest output

- Two-way ANOVA:
- Interactions
- Main effects
- Stataquest output

- Simple linear regression
- Scatterplot and least squares line
- Testing slope for zero
- R-squared
- Confidence interval for mean of y given x
- Prediction interval for y given x

- Categorical data analysis
- Calculating chi-square statistic
- Null and alternative hypotheses
- Using the chi-square table to get a range for p-value

- Basic concepts