Ecological Samplint & Statistics Activity A Worksheet

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University of Texas *

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103

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Biology

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Apr 3, 2024

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BIOL 3409 Lab Ecological Sampling & Statistics Lab Activity A Worksheet You are given the following data from a study comparing the length of leaves based on their exposure to sunlight. One set of data (Sun leaves) was gathered from leaves that were exposed to direct sunlight for at least 6 hours per day. The other set of data (Shade leaves) was gathered from leaves that were exposed to direct sunlight for less than 1 hour per day. Calculate the descriptive statistics (mean, variance, standard deviation) for each population and complete a t-test to compare the populations. Use this worksheet to guide your calculations. Sun leaves ( n = _____) Shade leaves ( n = _____ ) Measurements A. (𝑥 − 𝑥 ) B. (𝑥 − 𝑥 ) 2 Measurements (𝑥 − 𝑥 ) (𝑥 − 𝑥 ) 2 10.5 14.1 9.8 15.5 12.3 16.6 11.8 15.6 11.7 13.8 11.2 10.3 11.3 12.7 12.2 15.8 8.8 17.1 16.2 13.5 𝒙 : C. Σ : 𝒙 : ∑ : Variance = Variance = Description of Columns: The columns are intermediate steps for calculating the variance. Remember that variance is a measure of dispersion of data, meaning that it measures how close all measurements to the mean of the sample or population. A. (𝑥 − 𝑥 ) : This column is the difference between each measurement and the mean value. In essence, this is the basis of variance. However, because the average and sum of these values will always be zero, we cannot use these values as they are to give a picture of dispersion. This value has little value in characterizing the population but is an important intermediate step in calculating variance. B. (𝑥 − 𝑥 ) 2 : After calculating the difference between each measurement and the mean of the population/sample, you will enter the square of the difference for each measurement in this column. This step allows us to characterize the difference between a measurement and the mean value regardless of if the measurement is large or smaller than the mean. C. Σ : This is the sum of column B ( (𝑥 − 𝑥 ) 2 ) and is called the sum of squares. This is the numerator in the equation to calculate variance of a sample/population.

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