MATH 3349 - Inferential Statistics - University of Houston

# MATH 3349 - Inferential Statistics

***This is a course guideline.  Students should contact instructor for the updated information on current course syllabus, textbooks, and course content***

Prerequisites: MATH 3338

Course Description: Basic principles for statistical inference with practical applications of data. Includes point estimation, confidence intervals, hypothesis testing, ANOVA and simple linear regression. Includes use of statistical software.

Textbook: Dunlop, Tamhane, Statistics and Data Analysis: From Elementary to Intermediate, 1st edition, Pearson, 2000. ASIN : B000MBV06A (Hard Copy), ISBN: 9780137444267 (Paperback)

Covered Topics:

• Review of Probability (1 week)
• Summarizing and Exploring Data (1 week)
• Introduction to random variables
• Distributions of random variables
• Graphical displays of data
• Sampling Distribution of Statistics (1 week)
• T-distribution
• Χ2 –distribution
• F-distribution
• Point Estimation (1 week)
• Methods of Point Estimation
• Sufficiency
• Inference for Single Samples (2 weeks)
• Confidence interval for one sample mean
• Confidence interval for one sample proportion
• Confidence interval for variance
• Hypothesis Tests for one sample mean and proportion
• Inferences for Two Samples (2 weeks)
• Inference for mean of matched paired data
• Inference for two independent means
• Inference for two proportions
• Simple Linear Regression and Correlation (2 weeks)
• Correlation
• Inference for correlation
• Introduction to simple linear regression
• Inference for regression parameters
• Inference for prediction
• Analysis of Variance (ANOVA) (1 week)
• Inferences for Count Data (2 weeks)
• Chi-square test for goodness of fit
• Chi-square test for independence
• Nonparametric Statistical Methods (1 week)