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### SAXENA Discussion 12

Course: BIOM 301, Winter 2012
School: Maryland
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Word Count: 411

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over Discussion Chapter 12 Winter 2012 Name__Sadhvi Saxena____ Section__0103__ ANOVA is a statistical test for analyzing 3 or more means. The results will tell us if at least 1 mean is significantly different from the others but does not tell us which means are significantly different from each other. An additional statistical test is needed for that. We will use Tukeys multiple comparisons test. Beetles were...

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over Discussion Chapter 12 Winter 2012 Name__Sadhvi Saxena____ Section__0103__ ANOVA is a statistical test for analyzing 3 or more means. The results will tell us if at least 1 mean is significantly different from the others but does not tell us which means are significantly different from each other. An additional statistical test is needed for that. We will use Tukeys multiple comparisons test. Beetles were randomly assigned to one of three temperature treatments, 10, 20 or 30 degrees C. After 2 months the amount of growth for each beetle was recorded. The results are given below. You want to know if temperature has an effect on beetle growth. 10 C 3 4 2 3 4 5 3 4 20C 8 7 8 9 6 7 8 9 30C 14 16 12 13 17 15 13 12 Analyze these data using an ANOVA. IN MOZILLA FIREFOX!!! Go to http://faculty.vassar.edu/lowry/ank3.html You have 3 treatments with 8 observations for each treatment. Calculations work best if you enter data yourself in the DATA ENTRY CELLS. Follow directions given and fill in the following ANOVA summary table. Factor Error Total SS df 445.3 2 37.5 21 483.83 23 MS F* pvalue 223.17 124.97 p<.0001 1.79 IF there is a significant F value (p<0.05) then click on the Tukey button to compare the 3 means. Fill in the table below: A B C P<.01 P<.01 B P<.01 A) State the full name of the test you are using analyze to these data Analysis of Variance Test (ANOVA) B) State the question (ID the population) Beetles were randomly assigned to one of three temperature treatments, 10, 20 or 30 degrees C. After 2 months the amount of growth for each beetle was recorded. The results are given below. You want to know if temperature has an effect on beetle growth. After 2 months, does any temperature have a better effect on beetle growth than others? C) State your null and alternative hypotheses (define symbols) Ho: 10 = 20 = 30 (in degrees Celsius) Ha: At least one beetle population mean growth rate is different = beetle population growth rate in a specific temperature conditions (in degrees Celsius) D) What was the F* value you found for your analysis? 124.97 E) From Table 9a, what would the Fcrit value be for your analysis? 3.47 F) Draw a rough graph that shows the means for each treatment and the results of the Tukey means comparison test 20 C 30 C 10 C p < 0.0001 p < 0.0001 20 C p < 0.0001 G) Provide a statement of conclusion that includes the statistical evidence and makes inference back to the population. The temperatures were significantly different in increasing beetle growth (F*=124.97, p < 0.0001, n=8/temperature). 30 C caused the most growth, and 10 C caused the least growth (Tukeys comparison, p < 0.0001)
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Maryland - BIOM - 301
Discussion over Chapter 12Winter 2012Name_Sadhvi Saxena_Section_0103_ANOVA is a statistical test for analyzing 3 or more means. The results will tell us if atleast 1 mean is significantly different from the others but does not tell us which means are
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Maryland - BIOM - 301
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Maryland - BIOM - 301
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