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 Biostatistics 140.653
 Methods in Biostatistics III

  Department of Biostatistics, Johns Hopkins Bloomberg School of Public Health

   
Final Exam Solution
 
   

Third Term
January 22 - March 13, 2008



LECTURER

Karen Bandeen-Roche, PhD
Department of Biostatistics, Hygiene E3624
Johns Hopkins University
Bloomberg School of Public Health
phone: 410-955-1166
fax: 410-955-0958
Office Hours:  Thursday, 1:15 - 2:30 PM

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LECTURES:

10:30 AM - 12:00 PM Tuesday, Thursday
Room W4030

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LABS for review, auxiliary material questions, and help with the problem sets:

 

Tuesday,

12:15 PM - 1:00 PM

 W4030     

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TEACHING ASSISTANTS/LAB INSTRUCTORS:

  • Yong Chen

  • Marie Thoma

  • Hao Wu


OFFICE HOURS for Teaching Assistants:      

  • Time: 3:00 - 4:00 PM, Monday.

  • Room:  W4007

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WEB SITE:

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TEXTBOOKS:

Suggested Supplemental Books:

  • Carroll, R. J. and Ruppert, D. (1988), Transformation and Weighting in Regression, New York, Chapman and Hall.

  • Draper, N. R. and Smith, H. (1998), Applied Regression Analysis, 3rd. Ed., New York: John Wiley & Sons.

  • Miller, R. G. (1986) Beyond ANOVA, Basics of Applied Statistics, New York: John Wiley & Sons.

  • Mosteller, F. and Tukey, J. W. (1977), Data Analysis and Regression: A Second Course in Statistics, Reading, MA: Addison-Wesley.

  • Scheffe', H. (1959), The Analysis of Variance, New York: John Wiley & Sons.

  • Seber, G. A. F. (1977), Linear Regression Analysis, New York: John Wiley & Sons.

  • Vittinghoff, E., Glidden, D.V., Shiboski, S.C., and McCullock, C.E. (2004), Regression Methods in Biostatistics:  Linear, Logistic, Survival, and Repeated Measures Models, New York: Springer.

References for matrix algebra:

  • Matrix Algebra Useful for Statistics, Searle

  • Matrix Algebra from a Statistician's Perspective, Harville

  • Matrix Analysis for Statistics, Schott

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GRADING

Homework assignments (4)
  • In lieu of late allowance: Homework score will be calculated using the THREE assignments yielding the highest average score
40%

Midterm (1) and Final (1) Exam
         in-class - 30% for each exam

60%

Guaranteed grades:
 
    A = 90% on both components  
    B = 80% on both components       
    C = 70% on both components  

Curve may also be implemented
 
 

There will be no extra or make-up credit, except as may occasionally be offered on homework assignments or exams.

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ETHICS POLICY:  Homework assignments

Please feel free to study together and talk to one another about homework assignments. The mutual instruction that student colleagues give each other by doing this is among the most valuable that can be achieved. However, it is expected that homework assignments will be implemented and written up independently. Specifically, please do not share analytic code or output. Please do not collaborate on write-up and interpretation. Please do not access or use solutions from any source before your homework assignment is submitted for grading. Thanks.

LATE POLICY:

Course requirement due dates for the term are provided below. In general, homeworks and tests must be submitted and taken on time to receive credit. At the instructor's discretion, exceptions will be made for unforeseen personal or family health emergency or other crisis.

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COMPUTING PACKAGE:

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CALCULATOR:

  • Basic functions (+, -, x, ÷), logarithms and exponents, simple memory and recall, factorial key.

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REGISTER FOR COURSE e-MAIL:

  • To receive course announcements, all students must
    register an e-Mail address

Register e-mail

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COURSE DESCRIPTION:

Biostatistics 140.653 introduces linear regression analysis for public health science.  Foundational topics include: correlation, regression and analysis of variance (ANOVA) models and their uses; least squares estimation and inference for parameters; model formulation, checking for adequacy, and interpretation; and making predictions.  Topics are introduced using simple linear regression equations, then amplified in the context of multiple linear regression and matrices.  Techniques are introduced for: identifying influential points; modeling variable adjustments, effect modification, and nonlinear relationships; and identifying and handling departures from basic mode assumptions.

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COURSE OBJECTIVES:


By the end of the course a student should be familiar with:

  • the definition and interpretation of the standard linear regression model;

  • least squares estimation of parameters;

  • appropriate methods for making inferences about model parameters, statistical assumptions that underlie the methods, and statistical properties of estimators, tests, prediction strategies

  • methods to describe fit of models to observed data.

The student should be able to:

  • build and fit regression models that address specific scientific questions using linear, polynomial, spline, and interacting relationships of multiple predictors with outcome variables;

  • models to make inferences about direct associations, confounding, effect modification, and statistical and scientific importance of findings;

  • correctly interpret and develop predictions from linear regression models;

  • evaluate regression analyses for quality of description, inference, and predictions.

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             Johns Hopkins Bloomberg School of Public Health
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