Sampling Biological Populations Basic Principles Sampling 101 An Overview of Today’s Class • What is sampling and why does it matter? What Why Examples • Qualitative vs Quantitative Sampling Key points to get out of today’s lecture: What is sampling, why sample, and why does it matter how you do it. Readings: Ch. 7:76-81; Ch 8:102-127, 134-148; White et al. Start Now!! Steps in Conducting an Assessment using Inventory and Monitoring What is “sampling” ? 1. Develop Problem Statement—may include goals Elzinga et al’s (p. 76) definition: 2. Develop Specific Objectives 3. Determine important data to collect 4. Determine how to collect and analyze data “Sampling is the act or process of selecting a part of something with the intent of showing the quality, style, or nature of the whole.” A more precise definition: The act of selecting units for measurement from a clearly defined population 5. Collect data 6. Analyze data 7. Assess data in context of objectives Example of Populations Biological Population What is a population in relation to sampling? Biological population Statistical population Why sample? Complete enumeration or the study of all possible cases of interest is usually impossible. In these typical cases, sampling methods are used. Sampling allows one to learn some aspect of the entire population when enumerating the entire population is not possible or desirable. Sampled Population Other reasons for sampling? • reduce costs (time and effort) associated with characterizing a population Target Population • may improve accuracy by allowing more time to be spent on A smaller fraction of the population Statistical Population 1 Why sample? Did you sample or “census” during your summer projects? Examples of objectives where sampling is not needed? Why sample? A precise understanding “Good” sampling procedures allow you to make inductive inferences on the population of interest. Inappropriate sampling simply does not (=invalid inference). Inductive inference: The generalization from a particular set of data to the class of all similar data The conclusions from the set of data is intended to go beyond the particular study. “…process of generalizing to the population from the sample..” Elzinga –p. 76 Examples of objectives where sampling is needed? Without proper sampling, only conclusions about the sample can be made; in some cases, that is all that is needed. In most cases, this is insufficient. Your Example of Sampling Biological Populations? The Relation between Sampling and Statistics Can you make perfect generalizations from a sample to the population? There is uncertainty in inductive inference. The field of statistics provides techniques for making inductive inference AND for providing means of assessing uncertainty. Bias vs Precision Statistics: “…an area of science concerned with development of a practical theory of information. It involves sampling, design of experiments, analysis of information, estimation of parameters and testing of hypotheses. It is the basis for inductive inference….” From White et al. 1982 Bias (accuracy): Essentially, the “closeness” of a measured value to its true value; the average performance of an estimator Precision: The “closeness” of repeated measurements of the same quantity; the repeatability of a result. Read chapter in White et al. 2 Consider Test Question: Selecting Random Samples Qualitative Sampling Techniques vs Quantitative Sampling Key points to get out of today’s lecture: What is sampling Pdf Why sample Why does it matter how you do it 3