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 Probability

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. ISBN: 978-0130225788

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


 

CSD Accommodations:

Academic Adjustments/Auxiliary Aids: The University of Houston System complies with Section 504 of the Rehabilitation Act of 1973 and the Americans with Disabilities Act of 1990, pertaining to the provision of reasonable academic adjustments/auxiliary aids for students who have a disability. In accordance with Section 504 and ADA guidelines, University of Houston strives to provide reasonable academic adjustments/auxiliary aids to students who request and require them. If you believe that you have a disability requiring an academic adjustments/auxiliary aid, please visit The Center for Students with DisABILITIES (CSD) website at http://www.uh.edu/csd/ for more information.

Accommodation Forms: Students seeking academic adjustments/auxiliary aids must, in a timely manner (usually at the beginning of the semester), provide their instructor with a current Student Accommodation Form (SAF) (paper copy or online version, as appropriate) from the CSD office before an approved accommodation can be implemented.

Details of this policy, and the corresponding responsibilities of the student are outlined in The Student Academic Adjustments/Auxiliary Aids Policy (01.D.09) document under [STEP 4: Student Submission (5.4.1 & 5.4.2), Page 6]. For more information please visit the Center for Students with Disabilities Student Resources page.

Additionally, if a student is requesting a (CSD approved) testing accommodation, then the student will also complete a Request for Individualized Testing Accommodations (RITA) paper form to arrange for tests to be administered at the CSD office. CSD suggests that the student meet with their instructor during office hours and/or make an appointment to complete the RITA form to ensure confidentiality.

*Note: RITA forms must be completed at least 48 hours in advance of the original test date. Please consult your counselor ahead of time to ensure that your tests are scheduled in a timely manner. Please keep in mind that if you run over the agreed upon time limit for your exam, you will be penalized in proportion to the amount of extra time taken.

 

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