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Chapter 1 Vocab and Concepts

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Term
Definition
Variable   a characteristic or attribute that can assume different values  
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Data   the values (measurements or observations) that the variables can assume  
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Random Variables   Variables whose values are determined by chance  
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Data Set   A collection of data values  
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Data Value (Datum)   Each value in a data set  
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Statistics   the science of conducting studies to collect, organize, summarize, analyze, and draw conclusions from data  
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Descriptive Statistics   consists of the collection, organization, summarization, and presentation of data  
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Inferential Statistics   consists of generalizing from samples to populations, performing estimations and hypothesis tests, determining relationships among variables, and making predictions  
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Probability   the chance of an event occurring  
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Population   consists of all subjects that are being studied  
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Sample   a group of subjects selected from a population  
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Hypothesis Testing   a decision-making process for evaluating claims about a population based on information obtained from samples  
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Qualitative Variables   variables that can be placed into distinct categories, according to some characteristic or attribute  
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Quantitative Variables   numerical variables that can be ordered or ranked  
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Discrete Variables   variables which assume values that can be counted  
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Continuous Variables   variables which can assume an infinite number of values between any two specific values. Obtained by measuring and often include fractions and decimals  
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Measurement Scales   four common types of these scales are nominal, ordinal, interval, and ratio  
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Nominal Level of Measurement   classifies data into mutually exclusive (nonoverlapping), exhausting categories in which no order or ranking can be imposed on the data  
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Ordinal Level of Measurement   classifies data into categories that can be ranked; however, precise differences between the ranks do not exist  
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Interval Level of Measurement   ranks data, and precise differences between units of measure do exist; however there is no meaningful zero  
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Ratio Level of Measurement   possesses all the characteristics of interval measurement, and there exists a true zero. In addition, true ratios exist when the same variable is measured on two different members of the population  
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Four Basic Sampling Techniques   Random, Systematic, Stratified, & Cluster  
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Random Samples   selected by using chance methods or random numbers  
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Systematic Samples   obtained through numbering each subject of the population and then selecting every nth subject  
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Stratified Samples   obtained by dividing the population into groups (called strata) according to some characteristic that is important to the study  
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Cluster Samples   the population is divided into groups called clusters by some means such as geographic area or schools in a large school district, etc.  
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Convenience Sample   uses subjects that are convenient  
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Observational Study   the researcher merely observes what is happening or what has happened in the past and tries to draw conclusions based on these observations  
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Experimental Study   the researcher manipulates one of the variables and tries to determine how the manipulation influences other variables  
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Quasi-Experimental Study   when researchers use already intact groups if random assignment is not possible  
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Independent (Explanatory) Variable   the variable being manipulated in an experimental study  
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Dependent (Outcome) Variable   the resultant variable of an experimental study  
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Treatment Group   the group that receives specific treatment in an experimental study  
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Control Group   the group that receives no treatment in an experimental study  
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Hawthorne Effect   discovered in 1924 when researchers found that the subjects who knew they were participating in an experimental study actually changed their behavior in ways that affected its results  
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Confounding Variable   variable that influences the dependent/outcome variable but was not separated from the independent variable  
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Define statistics   the science of conducting studies to collect, organize, summarize, analyze, and draw conclusions from data  
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Three examples of how statistics is used in everyday life.   1) Fields of human endeavor (2) Analyze results of a survey (3) Tool in scientific research to make decisions based on controlled experiments (4) Operations research, quality control estimation, & predictions  
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3 reasons to study statistics   (1) Understand statistical studies (2) Conduct research, design experiments, make predictions, and communicate results (3) Become a better consumer  
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Branch areas of statistics   Differential and Inferential. Differential statistics deals with the collection, organization, summarization, and presentation of data, whereas inferential statistics deals with generalizing from samples to populations and making predictions/inferences.  
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Examples of Variables   Qualitative - gender, eye color, etc. Quantitative - age, height, weight. Discrete - #'s of something. Continuous - often decimals obtained by measuring.  
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Examples of each of the levels of measurement   Nominal - Gender, Zip code, Eye color Ordinal - Competition rankings, a person's build, letter grades Interval -  
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