Based on the results you calculated in the excel document and your knowledge of biology statistics answer the following questions. 6. (a) Calculate the Index of Dispersion (I) and associated chi-squared values for the small and large quadrats (include the equations) (b) indicate how your population is dispersed (c) examine the counts for your quadrats in each sector (1m2 only). Does the distribution of counts coincide with your conclusion about how the population is dispersed and (d) why? 7. Compare your results using the small quadrat with those using the large quadrat. Based on theory, which quadrat sampling regime (small or large) should yield the more (a) accurate and the more (b) precise results, and why. 8. Did the results you generated correspond to theory? Why or why not. Quadrat Size Sample Size Density per Quadrant STDEV per Quadrant SEM per Quadrant Total Area Sampled Density per Sq. Meter STDEV per Sq. Meter Density per 4m2 STDEV per 4m2 Small 46.0000 2.8750 3.6492 0.9123 4.0000 11.5000 14.5968 0.7188 0.9123 Large 54.0000 6.7500 9.0830 3.2113 8.0000 6.7500 9.0830 1.6875 2.2707 Small Large IOD 4.6319 12.2222 Chi-Squared Values 69.4783 85.5556 Count 0 0 2 QudratSize (m2) 0.25 0.25 0.25 0.25 0.25 0.25 0.25 0.25 0 0 2 0 2 1 10 0.25 0.25 0.25 8 QuadratNo. QuadratSize 1 Small 2 Small 3 Small 4 Small 5 Small 6 Small 7 Small 8 Small 9 Small 10 Small 11 Small 12 Small 13 Small 14 Small 15 Small 16 Small 1 Large 2 Large 3 Large 4 Large 5 Large 6 Large 7 Large 8 Large 0.25 0.25 0.25 0.25 0.25 9 5 7 0 0 24 1 1 0 10 1 1 3 1 1 0 16 0 1 1 1 Based on the results you calculated in the excel document and your knowledge of biology statistics answer the following questions. 6. (a) Calculate the Index of Dispersion (I) and associated chi-squared values for the small and large quadrats (include the equations) (b) indicate how your population is dispersed (c) examine the counts for your quadrats in each sector (1m2 only). Does the distribution of counts coincide with your conclusion about how the population is dispersed and (d) why? 7. Compare your results using the small quadrat with those using the large quadrat. Based on theory, which quadrat sampling regime (small or large) should yield the more (a) accurate and the more (b) precise results, and why. 8. Did the results you generated correspond to theory? Why or why not. Quadrat Size Sample Size Density per Quadrant STDEV per Quadrant SEM per Quadrant Total Area Sampled Density per Sq. Meter STDEV per Sq. Meter Density per 4m2 STDEV per 4m2 Small 46.0000 2.8750 3.6492 0.9123 4.0000 11.5000 14.5968 0.7188 0.9123 Large 54.0000 6.7500 9.0830 3.2113 8.0000 6.7500 9.0830 1.6875 2.2707 Small Large IOD 4.6319 12.2222 Chi-Squared Values 69.4783 85.5556 Count 0 0 2 QudratSize (m2) 0.25 0.25 0.25 0.25 0.25 0.25 0.25 0.25 0 0 2 0 2 1 10 0.25 0.25 0.25 8 QuadratNo. QuadratSize 1 Small 2 Small 3 Small 4 Small 5 Small 6 Small 7 Small 8 Small 9 Small 10 Small 11 Small 12 Small 13 Small 14 Small 15 Small 16 Small 1 Large 2 Large 3 Large 4 Large 5 Large 6 Large 7 Large 8 Large 0.25 0.25 0.25 0.25 0.25 9 5 7 0 0 24 1 1 0 10 1 1 3 1 1 0 16 0 1 1 1