MATH 3349 - Inferential Statistics - University of Houston
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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)


Grading: Please consult your instructor's syllabus regarding any and all grading guidelines.


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