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AP Statistics - Chapter 4 Flashcards

Sampling and Surveys

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9007239181BiasThe design of a statistical study shows bias if it would consistently underestimate or consistently overestimate the value you want to know.0
9007239182CensusA study that attempts to collect data from every individual in the population.1
9007239183Cluster sampleTo take a this type of sample, first divide the population into smaller groups. Ideally, these groups should mirror the characteristics of the population. Then choose an SRS of the groupes. All individuals in the chosen groups are included in the sample.2
9007239184Convenience sampleA sample selected by taking the members of the population that are easiest to reach; particularly prone to large bias.3
9007239185Double-blindAn experiment in which neither the subjects nor those who interact with them and measure the response variable know which treatment a subject received.4
9007239186Margin of errorA numerical estimate of how far the sample result is likely to be from the truth about the population due to sampling variability.5
9007239187NonresponseOccurs when a selected individual cannot be contacted or refuses to cooperate; an example of a nonsampling error.6
9007239188Nonsampling errorThe most serious errors in most careful surveys are nonsampling errors. These have nothing to do with choosing a sample—they are present even in a census. Some common examples of nonsampling errors are nonresponse, response bias, and errors due to question wording.7
9007239189PopulationIn a statistical study, this is the entire group of individuals about which we want information.8
9007239190Random samplingThe use of chance to select a sample; is the central principle of statistical sampling.9
9007239191Response biasA systemic pattern of incorrect responses.10
9007239192SampleThe part of the population from which we actually collect information. We use information from this to draw conclusions about the entire population.11
9007239193Sample surveyA study that uses an organized plan to choose a sample that represents some specific population. We base conclusions about the population on data from the sample. You must 1) say exactly what population you want to describe and 2) say exactly what you want to measure - give exact definitions of the variables.12
9007239195Simple random sample (SRS)The basic random sampling method. This method gives every possible sample of a given size the same chance to be chosen. We often choose the sample by labeling the members of the population and using random digits to select the sample. Common ways to choose this type of sample includes drawing names out of a hat, technology random number generators or using tables of random digits.13
9007239196StrataGroups of individuals in a population that are similar in some way that might affect their responses.14
9007239197Stratified random sampleTo select a this type of sample, first classify the population into groups of similar individuals, called strata. Then choose a separate SRS from each stratum to form the full sample.15
9007239198Table of random digitsA long string of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 with these properties: • Each entry in the table is equally likely to be any of the 10 digits 0 through 9. • The entries are independent of each other. That is, knowledge of one part of the table gives no information about any other part.16
9007239199UndercoverageOccurs when some members of the population are left out of the sampling frame; a type of sampling error.17
9007239200Voluntary response samplesPeople decide whether to join a sample based on an open invitation; particularly prone to large bias.18
9007239201Wording of questionsThe most important influence on the answers given to a survey. Confusing or leading questions can introduce strong bias, and changes in wording can greatly change a survey's outcome. Even the order in which questions are asked matters.19
9007239202BlockA group of experimental units that are known before the experiment to be similar in some way that is expected to affect the response to the treatments.20
9007239203Completely randomized designWhen the treatments are assigned to all the experimental units completely by chance.21
9007239204ConfoundingWhen two variables are associated in such a way that their effects on a response variable cannot be distinguished from each other.22
9007239205Control groupAn experimental group whose primary purpose is to provide a baseline for comparing the effects of the other treatments. Depending on the purpose of the experiment, a control group may be given a placebo or an active treatment.23
9007239206Double-blindAn experiment in which neither the subjects nor those who interact with them and measure the response variable know which treatment a subject received.24
9007239207ExperimentDeliberately imposes some treatment on individuals to measure their responses.25
9007239208Experimental unitsThe smallest collection of individuals to which treatments are applied.26
9007239209Explanatory variableA variable that helps explain or influences changes in a response variable. Also called factors.27
9007239210LevelA specific value of an explanatory variable (factor) in an experiment. For example, if we were studying effects of advertising an explanatory variable might be lengths of commercials and we could have commercials of varying lengths. 30, 45 and 60 minute commercials would make 3 levels of that one explanatory variable.28
9007239211Matched pairA common form of blocking for comparing just two treatments. In some of these designs, each subject receives both treatments in a random order. In others, the subjects are matched up as closely as possible, and each subject in a pair is randomly assigned to receive one of the treatments.29
9007239212Observational studyObserves individuals and measures variables of interest but does not attempt to influence the responses.30
9007239213PlaceboAn inactive (fake) treatment.31
9007239214Placebo effectDescribes the fact that some subjects respond favorably to any treatment, even an inactive one (placebo).32
9007239215Random assignmentAn important experimental design principle. Use some chance process to assign experimental units to treatments. This helps create roughly equivalent groups of experimental units at the start of the experiment.33
9007239216Randomized block designStart by forming blocks consisting of individuals that are similar in some way that is important to the response. Random assignment of treatments is then carried out separately within each block.34
9007239217ReplicationAn important experimental design principle. Use enough experimental units in each group so that any differences in the effects of the treatments can be distinguished from chance differences between the groups.35
9007239218Response variableA variable that measures an outcome of a study.36
9007239219Single-blindAn experiment in which either the subjects or those who interact with them and measure the response variable, but not both, know which treatment a subject received.37
9007239220Statistically significantAn observed effect so large that it would rarely occur by chance.38
9007239221SubjectsExperimental units that are human beings.39
9007239222TreatmentA specific condition applied to the individuals in an experiment. If an experiment has several explanatory variables, a treatment is a combination of specific values of these variables.40
9007239223Inference about cause and effectUsing the results of an experiment to conclude that the treatments caused the difference in responses. Requires a well-designed experiment in which the treatments are randomly assigned to the experimental units.41
9007239224Inference about the populationUsing information from a sample to draw conclusions about the larger population. Requires that the individuals taking part in a study be randomly selected from the population of interest.42
9007239226Basic Principle for Designing Experiments1. Comparison - Use a design that compares two or more treatments. 2. Random Assignment - Use chance to assign experimental units. Create roughly equivalent groups of experimental units at the start of the experiment to balance the effects of other variables among the treatment groups. 3. Control - Keep other variables that might affect the response the same for all groups. (This is not the same as control group.) 4. Replication - Use enough experimental units in each group so the differences can be distinguished from chance.43
9007239227Criteria for establishing causation when we can't do an experiment.1. The association is strong. 2. The association is consistent. 3. Larger values of the explanatory variable are associated with stronger responses. 4. The alleged cause precedes the effect in time. 5. The alleged cause is plausible.44
9007239228Scope of Inference1. Inferences about populations are possible when individuals are randomly selected. 2. Inferences about cause and effect are possible when individuals are randomly assigned to groups.45

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