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Winter 2009 1 NRES 798 – Analysis of Ecological Data College of Science and Management, University of Northern British Columbia Instructor: Dr. Michael Gillingham, 8-312, 960-5825, [email protected] Course Webpage (in part): http://web.unbc.ca/~michael/Courses/Biol325.htm COURSE DESCRIPTION This course is an introduction to the application of analytical methods for addressing common ecological problems. Particular emphasis is placed on: working with data, testing assumptions, formulating hypotheses, statistical inference and the discussion of the application of these statistics. Students learn to analyze and interpret ecological data using a variety of statistical analyses. In addition to lab material, graduate students in this course will apply suites of analyses to data applicable to their area of research. LECTURES There are two components to the lectures. Students will attend all Biol 325 Lectures (Tuesday and Thursday from 9:30 - 10:20 in 5-171). These lectures introduce the principles of experimental design and ecological sampling, and discuss the basic statistical methods used to analyze experimental ecological results. In addition, we will meet for 2 hours per week (Wednesday from 8:30 to 10:20 (Room TBA) to discuss more sophisticated applications of the analysis techniques. LABS Graduate Students in NRES 798 should enrol Biol 325 Lab Section L2 (CRN# 10244 on Monday from 8:00 to 10:50 in room 7-154). The labs will emphasize hands-on statistical analysis and interpretation of results from quantitative observations and manipulative experiments. Analysis will be done with statistical packages (primarily SAS). Assignments arising from the labs will require students to complete data analyses and to submit their results along with a scientific abstract that summarizes their findings and conclusions, emphasizing the interpretation of the analyses. STUDENT MARKS Ten assignments will be assigned from laboratory exercises; each assignment will be worth 4% of the grade for a total of 40% of the final grade. Assignments will combine the analysis and interpretation of ecological data and will usually include summarizing the results in a scientific abstract. These assignments will usually be due one week later at the beginning of class/lab; late problem sets will NOT be accepted. Working with the instructor, students will develop an analysis strategy to examine data relevant to their research area (supplied by thesis supervisor). These analyses will be developed into two projects with each project comprising 30% of the final grade. The projects will involve the application of techniques covered in the course (Project 1 due on 3 March will cover analyses addressed in labs 1 through 6; Project 2 due on 15 April will utilize analyses covered in labs 7 through 12). Each project will be submitted as a report, in journal format, that is supported by the analyses. INSTRUCTOR’S OFFICE HOURS My office hours are Monday and Wednesday from 11:00 to 12:00 (8-312; new lab building). Your cooperation in visiting during these office hours is appreciated. If you need to see me outside these hours, please make an appointment in advance (960-5825 or [email protected]). TEXT BOOKS (Required) Gotelli, N.J., and A.M. Ellison. 2004. A Primer of Ecological Statistics. Sinauer Associates Inc., Sunderland, MA. PREREQUISITES: Permission of the Instructor ACADEMIC DISHONESTY INCLUDING PLAGIARISM University regulations strictly forbidden academic dishonesty of any type, including plagiarism, cheating during tests or exams, or misrepresenting the nature of your involvement in any assigned work. Students involved in any such acts can receive an automatic F in the course. Winter 2009 2 TENTATIVE LECTURE TOPICS DATE Gotelli 6-Jan Introduction, Grading, Course Objectives; A review of probability 4-24 8-Jan Random Variables and Probability Distributions 25-55 13-Jan Measures of Location and Spread 57-78 15-Jan Checking the Data 207-224 20-Jan Meeting Assumptions: Outliers and Transformations 224-236 22-Jan Framing and Testing Hypotheses: Statistical Hypothesis Testing 79-106 27-Jan Tests of Differences: two unrelated samples 29-Jan Pseudoreplication, Error, Power, Parametric or not? 3-Feb Tests of Differences: two related samples 5-Feb Overview of Experimental and Sampling Designs 10-Feb Tests of Relationship: Correlation 12-Feb Midterm for Biol 325 (no class for NRES 798) 163-204 Winter Break - No Classes Feb 16-20 24-Feb Tests of Relationships: Regression 240-264 26-Feb Multiple Regression and non-linear Regression 275-279 3-Mar Logistic Regression; First Project Due 273-275 5-Mar ANOVA: one-way and Kruskal-Wallis ANOVA 289-300 10-Mar More ANOVA designs: Nested and two-way ANOVA 300-308 12-Mar ANOVA Designs Continued 17-Mar More ANOVA designs: Split Plot and Repeated Measures ANOVA 308-314 19-Mar Random versus Fixed Effects; Analysis of Covariance 314-322 24-Mar Tests of Categorical Data: Contingency tables, 1- and 2-way Classification 349-382 26-Mar More on Classification 31-Apr Alternate Frameworks for Statistical Analyses 2-Apr Choosing the Correct Test: a review 7-Apr Review continued 15-Apr Second Project Due “ “ 107-134 Winter 2009 DATE 3 TENTATIVE LAB TOPICS (5-154) 12-Jan A gentle introduction to SAS 19-Jan Data Manipulation and Describing Data (Assignment #1) 26-Jan Testing and Meeting Assumptions: test for homogeneity of variance; transformations (Assignment #2) 2-Feb Comparing two populations: unrelated samples (Assignment #3) 9-Feb Comparing two populations: related samples (Assignment #4) 23-Feb Correlation (Assignment #5) Winter Break - No Classes Feb 16-20 2-Mar Regression (Assignment #6) 9-Mar Multiple Regression and Non-linear Estimation (Assignment #7) 16-Mar Parametric and non-parametric One-way ANOVA (Assignment #8) 23-Mar Randomized Blocked and Two-way ANOVA designs (Assignment #9) 30-Mar ANOVA with non-standard F-ratios and Planned and Unplanned Comparisons (Assignment #10) 6-Apr Goodness of Fit: goodness of fit (2), contingency tables (G) and tests of independence