2010-07-14-Lecture-10-Ch-10-Sect-10_1-to-10_2-handouts

2010-07-14-Lecture-10-Ch-10-Sect-10_1-to-10_2-handouts -...

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1 MA 214: Applied Statistics Instructor : Remus Oşan Lecture 10 – July 14, 2010 Chapter 10: Analysis of Variance: Comparing More Than Two Means 10.1 Elements of a Designed Experiment 10.2 The Completely Randomized Design 2 Chapter 10: Analysis of Variance: Comparing More Than Two Means s 10.1 Elements of a Designed Experiment s 10.2 The Completely Randomized Design s 10.3 Multiple Comparisons of Means s 10.4 The Randomized Block Design s 10.5 Factorial Experiments s STATISTICS IN ACTION On the Trail of the Cockroach: Do Roaches Travel at Random? 3 Chapter 10: Analysis of Variance: Comparing More Than Two Means s WHERE WE'VE BEEN s Presented methods for estimating and testing hypotheses about a single population mean s Presented methods for comparing two population means 4 Chapter 10: WHERE WE'RE GOING s Discuss the critical elements in the design of a sampling experiment s Learn how to set up three of the more popular experimental designs for comparing more than two population means: completely randomized, randomized block, and factorial designs s Show how to analyze data collected from a designed experiment using a technique called an analysis of variance 5 Chapter 10: Analysis of Variance: Comparing More Than Two Means s STATISTICS IN ACTION On the Trail of the Cockroach: Do Roaches Travel at Random? s Insects such as ants, bees, caterpillars, and termites use chemical or "odor" trails for navigation. s Until recently, researchers believed that the navigational behavior of cockroaches scavenging for food was random 6 Chapter 10: Analysis of Variance: Comparing More Than Two Means s Experiments: s 1. Use methanol extract from roach feces-called a pheromone s 2. Chemical and control trail with pheromones s 3. Video camera, monitor trajectories s Adult males, adult females, gravid (pregnant) females, and nymphs (immatures) s 20 roaches of each trail to treatment, 10 to control
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2 7 Chapter 10: Analysis of Variance: Comparing More Than Two Means s X and Y movement pattern of each cockroach was recorded at each 0.1 s by the Dynamic Animal Movement Analyzer (DAMA) program. s Measure the perpendicular distance of each xy coordinate and average all the distances, or deviations, for each cockroach. s Data file named ROACH. 8 Chapter 10: Analysis of Variance: Comparing More Than Two Means s Statistics in Action Revisited s A One-Way Analysis of the Cockroach Data (p.498) s Ranking the Means of the Cockroach Groups (p.508) s A Two-Way Analysis of the Cockroach Data (p.537) 9 Chapter 10.1: Analysis of Variance Elements of a Designed Experiment s Statistics in Action Revisited s A One-Way Analysis of the Cockroach Data (p.498) s Ranking the Means of the Cockroach Groups (p.508) s A Two-Way Analysis of the Cockroach Data (p.537) 10 Chapter 10.1: Analysis of Variance Elements of a Designed Experiment s Previously we mainly looked at observational experiments. (little or no control over the variables) s In contrast for the designed experiments the researcher attempts to control the levels of one or
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2010-07-14-Lecture-10-Ch-10-Sect-10_1-to-10_2-handouts -...

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