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SAMPLING DESIGN & WEIGHTING in the Original
Appendix A 2096 APPENDIX A: SAMPLING DESIGN & WEIGHTING In the original National Science Foundation grant, support was given for a modified probability sample. Samples for the 1972 through 1974 surveys followed this design. This modified probability design, described below, introduces the quota element at the block level. The NSF renewal grant, awarded for the 1975-1977 surveys, provided funds for a full probability sample design, a design which is acknowledged to be superior. Thus, having the wherewithal to shift to a full probability sample with predesignated respondents, the 1975 and 1976 studies were conducted with a transitional sample design, viz., one-half full probability and one-half block quota. The sample was divided into two parts for several reasons: 1) to provide data for possibly interesting methodological comparisons; and 2) on the chance that there are some differences over time, that it would be possible to assign these differences to either shifts in sample designs, or changes in response patterns. For example, if the percentage of respondents who indicated that they were "very happy" increased by 10 percent between 1974 and 1976, it would be possible to determine whether it was due to changes in sample design, or an actual increase in happiness. There is considerable controversy and ambiguity about the merits of these two samples. Text book tests of significance assume full rather than modified probability samples, and simple random rather than clustered random samples. In general, the question of what to do with a mixture of samples is no easier solved than the question of what to do with the "pure" types. -
Stratified Sampling Using Cluster Analysis: a Sample Selection Strategy for Improved Generalizations from Experiments
Article Evaluation Review 1-31 ª The Author(s) 2014 Stratified Sampling Reprints and permission: sagepub.com/journalsPermissions.nav DOI: 10.1177/0193841X13516324 Using Cluster erx.sagepub.com Analysis: A Sample Selection Strategy for Improved Generalizations From Experiments Elizabeth Tipton1 Abstract Background: An important question in the design of experiments is how to ensure that the findings from the experiment are generalizable to a larger population. This concern with generalizability is particularly important when treatment effects are heterogeneous and when selecting units into the experiment using random sampling is not possible—two conditions commonly met in large-scale educational experiments. Method: This article introduces a model-based balanced-sampling framework for improv- ing generalizations, with a focus on developing methods that are robust to model misspecification. Additionally, the article provides a new method for sample selection within this framework: First units in an inference popula- tion are divided into relatively homogenous strata using cluster analysis, and 1 Department of Human Development, Teachers College, Columbia University, NY, USA Corresponding Author: Elizabeth Tipton, Department of Human Development, Teachers College, Columbia Univer- sity, 525 W 120th St, Box 118, NY 10027, USA. Email: [email protected] 2 Evaluation Review then the sample is selected using distance rankings. Result: In order to demonstrate and evaluate the method, a reanalysis of a completed experiment is conducted. This example compares samples selected using the new method with the actual sample used in the experiment. Results indicate that even under high nonresponse, balance is better on most covariates and that fewer coverage errors result. Conclusion: The article concludes with a discussion of additional benefits and limitations of the method. -
Stratified Random Sampling from Streaming and Stored Data
Stratified Random Sampling from Streaming and Stored Data Trong Duc Nguyen Ming-Hung Shih Divesh Srivastava Iowa State University, USA Iowa State University, USA AT&T Labs–Research, USA Srikanta Tirthapura Bojian Xu Iowa State University, USA Eastern Washington University, USA ABSTRACT SRS provides the flexibility to emphasize some strata over Stratified random sampling (SRS) is a widely used sampling tech- others through controlling the allocation of sample sizes; for nique for approximate query processing. We consider SRS on instance, a stratum with a high standard deviation can be given continuously arriving data streams, and make the following con- a larger allocation than another stratum with a smaller standard tributions. We present a lower bound that shows that any stream- deviation. In the above example, if we desire a stratified sample ing algorithm for SRS must have (in the worst case) a variance of size three, it is best to allocate a smaller sample of size one to that is Ω¹rº factor away from the optimal, where r is the number the first stratum and a larger sample size of two to thesecond of strata. We present S-VOILA, a streaming algorithm for SRS stratum, since the standard deviation of the second stratum is that is locally variance-optimal. Results from experiments on real higher. Doing so, the variance of estimate of the population mean 3 and synthetic data show that S-VOILA results in a variance that is further reduces to approximately 1:23 × 10 . The strength of typically close to an optimal offline algorithm, which was given SRS is that a stratified random sample can be used to answer the entire input beforehand. -
Survey Sampling
Bayesian SAE using Complex Survey Data Lecture 5A: Survey Sampling Jon Wakefield Departments of Statistics and Biostatistics University of Washington 1 / 119 Outline Overview Design-Based Inference Simple Random Sampling Stratified Simple Random Sampling Cluster Sampling Multistage Sampling Discussion Technical Appendix: Simple Random Sampling Technical Appendix: Stratified SRS Technical Appendix: Cluster Sampling Technical Appendix: Lonely PSUs 2 / 119 Overview 3 / 119 Outline Many national surveys employ stratified cluster sampling, also known as multistage sampling, so that’s where we’d like to get to. In this lecture we will discuss: I Simple Random Sampling (SRS). I Stratified SRS. I Cluster sampling. I Multistage sampling. 4 / 119 Main texts I Lohr, S.L. (2010). Sampling Design and Analysis, Second Edition. Brooks/Cole Cengage Learning. Very well-written and clear mix of theory and practice. I Lumley, T. (2010). Complex Surveys: A Guide to Analysis Using R, Wiley. Written around the R survey package. Great if you already know a lot about survey sampling. I Korn, E.L. and Graubard, B.I. (1999). Analysis of Health Surveys. Wiley. Well written but not as comprehensive as Lohr. I Sarndal,¨ Swensson and Wretman (1992). Model Assisted Survey Sampling. Springer. Excellent on the theory though steep learning curve and hard to dip into if not familiar with the notation. Also, anti- model-based approaches. 5 / 119 The problem We have a question concerning variables in a well-defined finite population (e.g., 18+ population in Washington State). What is required of a sample plan? We want: I Accurate answer to the question (estimate). I Good estimate of the uncertainty of the estimate (e.g., variance). -
IBM SPSS Complex Samples Business Analytics
IBM Software IBM SPSS Complex Samples Business Analytics IBM SPSS Complex Samples Correctly compute complex samples statistics When you conduct sample surveys, use a statistics package dedicated to Highlights producing correct estimates for complex sample data. IBM® SPSS® Complex Samples provides specialized statistics that enable you to • Increase the precision of your sample or correctly and easily compute statistics and their standard errors from ensure a representative sample with stratified sampling. complex sample designs. You can apply it to: • Select groups of sampling units with • Survey research – Obtain descriptive and inferential statistics for clustered sampling. survey data. • Select an initial sample, then create • Market research – Analyze customer satisfaction data. a second-stage sample with multistage • Health research – Analyze large public-use datasets on public health sampling. topics such as health and nutrition or alcohol use and traffic fatalities. • Social science – Conduct secondary research on public survey datasets. • Public opinion research – Characterize attitudes on policy issues. SPSS Complex Samples provides you with everything you need for working with complex samples. It includes: • An intuitive Sampling Wizard that guides you step by step through the process of designing a scheme and drawing a sample. • An easy-to-use Analysis Preparation Wizard to help prepare public-use datasets that have been sampled, such as the National Health Inventory Survey data from the Centers for Disease Control and Prevention -
Using Sampling Matching Methods to Remove Selectivity in Survey Analysis with Categorical Data
Using Sampling Matching Methods to Remove Selectivity in Survey Analysis with Categorical Data Han Zheng (s1950142) Supervisor: Dr. Ton de Waal (CBS) Second Supervisor: Prof. Willem Jan Heiser (Leiden University) master thesis Defended on Month Day, 2019 Specialization: Data Science STATISTICAL SCIENCE FOR THE LIFE AND BEHAVIOURAL SCIENCES Abstract A problem for survey datasets is that the data may cone from a selective group of the pop- ulation. This is hard to produce unbiased and accurate estimates for the entire population. One way to overcome this problem is to use sample matching. In sample matching, one draws a sample from the population using a well-defined sampling mechanism. Next, units in the survey dataset are matched to units in the drawn sample using some background information. Usually the background information is insufficiently detaild to enable exact matching, where a unit in the survey dataset is matched to the same unit in the drawn sample. Instead one usually needs to rely on synthetic methods on matching where a unit in the survey dataset is matched to a similar unit in the drawn sample. This study developed several methods in sample matching for categorical data. A selective panel represents the available completed but biased dataset which used to estimate the target variable distribution of the population. The result shows that the exact matching is unex- pectedly performs best among all matching methods, and using a weighted sampling instead of random sampling has not contributes to increase the accuracy of matching. Although the predictive mean matching lost the competition against exact matching, with proper adjust- ment of transforming categorical variables into numerical values would substantial increase the accuracy of matching. -
Sampling and Evaluation
Sampling and Evaluation A Guide to Sampling for Program Impact Evaluation Peter M. Lance Aiko Hattori Suggested citation: Lance, P. and A. Hattori. (2016). Sampling and evaluation: A guide to sampling for program impact evaluation. Chapel Hill, North Carolina: MEASURE Evaluation, University of North Carolina. Sampling and Evaluation A Guide to Sampling for Program Impact Evaluation Peter M. Lance, PhD, MEASURE Evaluation Aiko Hattori, PhD, MEASURE Evaluation ISBN: 978-1-943364-94-7 MEASURE Evaluation This publication was produced with the support of the United States University of North Carolina at Chapel Agency for International Development (USAID) under the terms of Hill MEASURE Evaluation cooperative agreement AID-OAA-L-14-00004. 400 Meadowmont Village Circle, 3rd MEASURE Evaluation is implemented by the Carolina Population Center, University of North Carolina at Chapel Hill in partnership with Floor ICF International; John Snow, Inc.; Management Sciences for Health; Chapel Hill, NC 27517 USA Palladium; and Tulane University. Views expressed are not necessarily Phone: +1 919-445-9350 those of USAID or the United States government. MS-16-112 [email protected] www.measureevaluation.org Dedicated to Anthony G. Turner iii Contents Acknowledgments v 1 Introduction 1 2 Basics of Sample Selection 3 2.1 Basic Selection and Sampling Weights . 5 2.2 Common Sample Selection Extensions and Complications . 58 2.2.1 Multistage Selection . 58 2.2.2 Stratification . 62 2.2.3 The Design Effect, Re-visited . 64 2.2.4 Hard to Find Subpopulations . 64 2.2.5 Large Clusters and Size Sampling . 67 2.3 Complications to Weights . 69 2.3.1 Non-Response Adjustment . -
3 Stratified Simple Random Sampling
3 STRATIFIED SIMPLE RANDOM SAMPLING • Suppose the population is partitioned into disjoint sets of sampling units called strata. If a sample is selected within each stratum, then this sampling procedure is known as stratified sampling. • If we can assume the strata are sampled independently across strata, then (i) the estimator of t or yU can be found by combining stratum sample sums or means using appropriate weights (ii) the variances of estimators associated with the individual strata can be summed to obtain the variance an estimator associated with the whole population. (Given independence, the variance of a sum equals the sum of the individual variances.) • (ii) implies that only within-stratum variances contribute to the variance of an estimator. Thus, the basic motivating principle behind using stratification to produce an estimator with small variance is to partition the population so that units within each stratum are as similar as possible. This is known as the stratification principle. • In ecological studies, it is common to stratify a geographical region into subregions that are similar with respect to a known variable such as elevation, animal habitat type, vegetation types, etc. because it is suspected that the y-values may vary greatly across strata while they will tend to be similar within each stratum. Analogously, when sampling people, it is common to stratify on variables such as gender, age groups, income levels, education levels, marital status, etc. • Sometimes strata are formed based on sampling convenience. For example, suppose a large study region appears to be homogeneous (that is, there are no spatial patterns) and is stratified based on the geographical proximity of sampling units. -
Overview of Propensity Score Analysis
1 Overview of Propensity Score Analysis Learning Objectives zz Describe the advantages of propensity score methods for reducing bias in treatment effect estimates from observational studies zz Present Rubin’s causal model and its assumptions zz Enumerate and overview the steps of propensity score analysis zz Describe the characteristics of data from complex surveys and their relevance to propensity score analysis zz Enumerate resources for learning the R programming language and software zz Identify major resources available in the R software for propensity score analysis 1.1. Introduction The objective of this chapter is to provide the common theoretical foundation for all propensity score methods and provide a brief description of each method. It will also introduce the R software, point the readers toward resources for learning the R language, and briefly introduce packages available in R relevant to propensity score analysis. Draft ProofPropensity score- Doanalysis methodsnot aim copy, to reduce bias inpost, treatment effect or estimates distribute obtained from observational studies, which are studies estimating treatment effects with research designs that do not have random assignment of participants to condi- tions. The term observational studies as used here includes both studies where there is 1 Copyright ©2017 by SAGE Publications, Inc. This work may not be reproduced or distributed in any form or by any means without express written permission of the publisher. 2 Practical Propensity Score Methods Using R no random assignment but there is manipulation of conditions and studies that lack both random assignment and manipulation of conditions. Research designs to estimate treatment effects that do not have random assignment to conditions are also referred as quasi-experimental or nonexperimental designs. -
Samples Can Vary - Standard Error
- Stratified Samples - Systematic Samples - Samples can vary - Standard Error - From last time: A sample is a small collection we observe and assume is representative of a larger sample. Example: You haven’t seen Vancouver, you’ve seen only seen a small part of it. It would be infeasible to see all of Vancouver. When someone asks you ‘how is Vancouver?’, you infer to the whole population of Vancouver places using your sample. From last time: A sample is random if every member of the population has an equal chance of being in the sample. Your Vancouver sample is not random. You’re more likely to have seen Production Station than you have of 93rd st. in Surrey. From last time: A simple random sample (SRS) is one where the chances of being in a sample are independent. Your Vancouver sample is not SRS because if you’ve seen 93rd st., you’re more likely to have also seen 94th st. A common, random but not SRS sampling method is stratified sampling. To stratify something means to divide it into groups. (Geologically into layers) To do stratified sampling, first split the population into different groups or strata. Often this is done naturally. Possible strata: Sections of a course, gender, income level, grads/undergrads any sort of category like that. Then, random select some of the strata. Unless you’re doing something fancy like multiple layers, the strata are selected using SRS. Within each strata, select members of the population using SRS. If the strata are different sizes, select samples from them proportional to their sizes. -
Ch7 Sampling Techniques
7 - 1 Chapter 7. Sampling Techniques Introduction to Sampling Distinguishing Between a Sample and a Population Simple Random Sampling Step 1. Defining the Population Step 2. Constructing a List Step 3. Drawing the Sample Step 4. Contacting Members of the Sample Stratified Random Sampling Convenience Sampling Quota Sampling Thinking Critically About Everyday Information Sample Size Sampling Error Evaluating Information From Samples Case Analysis General Summary Detailed Summary Key Terms Review Questions/Exercises 7 - 2 Introduction to Sampling The way in which we select a sample of individuals to be research participants is critical. How we select participants (random sampling) will determine the population to which we may generalize our research findings. The procedure that we use for assigning participants to different treatment conditions (random assignment) will determine whether bias exists in our treatment groups (Are the groups equal on all known and unknown factors?). We address random sampling in this chapter; we will address random assignment later in the book. If we do a poor job at the sampling stage of the research process, the integrity of the entire project is at risk. If we are interested in the effect of TV violence on children, which children are we going to observe? Where do they come from? How many? How will they be selected? These are important questions. Each of the sampling techniques described in this chapter has advantages and disadvantages. Distinguishing Between a Sample and a Population Before describing sampling procedures, we need to define a few key terms. The term population means all members that meet a set of specifications or a specified criterion. -
Target Population” – Do Not Use “Sample Population.”
NCES Glossary Analysis of Variance: Analysis of variance (ANOVA) is a collection of statistical models and their associated estimation procedures (such as the "variation" among and between groups) used to test or analyze the differences among group means in a sample. This technique is operated by modeling the value of the dependent variable Y as a function of an overall mean “µ”, related independent variables X1…Xn, and a residual “e” that is an independent normally distributed random variable. Bias (due to nonresponse): The difference that occurs when respondents differ as a group from non-respondents on a characteristic being studied. Bias (of an estimate): The difference between the expected value of a sample estimate and the corresponding true value for the population. Bootstrap: See Replication techniques. CAPI: Computer Assisted Personal Interviewing enables data collection staff to use portable microcomputers to administer a data collection form while viewing the form on the computer screen. As responses are entered directly into the computer, they are used to guide the interview and are automatically checked for specified range, format, and consistency edits. CATI: Computer Assisted Telephone Interviewing uses a computer system that allows a telephone interviewer to administer a data collection form over the phone while viewing the form on a computer screen. As the interviewer enters responses directly into the computer, the responses are used to guide the interview and are automatically checked for specified range, format, and consistency edits. Cluster: a group of similar people, things or objects positioned or occurring closely together. Cluster Design: Cluster Design refers to a type of sampling method in which the researcher divides the population into separate groups, of similarities - called clusters.