Central Michigan University College of Science & Technology BIO 500 Desig. No. Biological Statistics Title 3 (2-2) Credit(Mode). I. Bulletin Description: An introduction to biological statistics; emphasis on concepts of descriptive statistics and central tendency, inferential statistics, ONE-WAY ANOVA, and correlation/linear regression. II. Prerequisites: Twelve (12) hours of biology or permission of instructor; math competency equivalent to MTH 130 recommended. III. Rationale for Course Level For upper-level undergraduate and graduate students. IV. General Methodology Used in Conducting the Course VII. Course Objectives To introduce students to the fundamentals of biological statistics, with an emphasis on concepts of descriptive statistics and central tendency, inferential statistics, ONE-WAY ANOVA, and correlation/linear regression. To provide the students with hands-on experience in use of computer-based statistical applications. VIII. Week 1 2 3 4 Course Outline Topic Introduction: Basic Concepts of Biological Statistics Data Description: Kinds of data, frequency tables, histograms, cumulative frequency distributions, mean, median, mode, range, standard deviation, variance. Use of biological data sets as examples. Biological Data description Lab Activity Introduction to Computer lab Intro to Estimation: samples and populations; histograms; distribution of means, standard error of sample mean; emphasis on biological samples Probability; Basic rules, mutually exclusive events, independence using examples from biological data sets. Binomial & Poisson distributions; probabilities, binomial test, goodness of fit to binomial & Poisson Introduction to software, graphing data, central tendency Discrete Probability Distributions Introduction to software, graphing data, central tendency 5 6-7 8 9 10 11-13 14 15 16 IX. distributions using examples from biological data sets. Intro to hypothesis testing of biological data: Null vs. alternative, statistical inference, goodness of fit tests, chi-square distribution, statistical error. The normal distribution in biological settings: probabilities under normal curve, normal approximations of binomial distribution Hypothesis Tests for Categorical Data One sample inference (normal case) using examples of biological data The Normal distribution, One sample inference for a normal population Two sample inference using examples of biological Two-Sample Inference for data Paired Numeric Data Paired samples (parametric & non-parametric) using Two-Sample Inference for examples of biological data Independent Numeric Data Intro to multi-sample inference (ANOVA) using Single Factor Analysis of examples of biological data Variance (ANOVA) Multiple Comparisons: a posteriori comparison of Single Factor Analysis of means in biological systems Variance (ANOVA) Linear Regression using examples of biological data Relation between two variables (linear regression & correlation) Correlation using examples of biological data and Review for final exam REVIEW FOR FINAL Final Exam Evaluation 3 non-cumulative hour exams @ 100 pts each Final Exam: Comprehensive @ 200 pts Homework and quizzes @ 100 pts Laboratory assignments @400 pts Graduate students will, in addition to the standard course requirements and evaluation mechanisms, be required to design an experiment, collect data and analyze data, drawing the appropriate conclusions and submit a written report of their findings. X. Bibliography Selected Textbooks Daniel, W.W. 1991. Biostatistics: A foundation for analysis in the Health Sciences, thEd. John Wiley & Sons, NY Rosner, B. 2000. Fundamentals of Biostatistics. 5th Ed. Duxbury. Pacific Grove, CA Sokal, R.R. and F.J. Rohlf. 1987. Intoduction to Biostatistics. 2nd Ed. Freeman. NY Internet Sites The Statistical Instrucion Internet Palette (SHP) Arizona State University. http://research.ed.asu.edu/reports/asa96/ Statistics: The Study of stability in Variation http://home.sat.ucla.edu.textbook/ Statlib. http://lib.stat.cmu.edu/ Selected Journals Biometrics Journal of Agricultural, Biological and Environmental Statistics Journal of American Statistical Association Journal of Statistics Education Journal of Statistical Software Selected Software Mathsoft Minitab SAS SPSS Inc. Visual Statistics Syllabus Prepared By: Robert E. Bailey_________ Name ______________________ Signature 4/9/03_________________ Date