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Elementary Statistics C1 Vocab
Math 154 - Elementary Statistics @ South Central College Chapter 1 Vocabulary from Fundamentals of Statistics 2nd Edition (This flashcard set created by a_v)
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Mathematics
Undergraduate 1
01/25/2008

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Term
Treatment
Definition
A condition applied to the experimental unit.
Term
Experimental group
Definition

The group in a designed experiment that receives the treatment of interest (The variable being manipulated).

(In designed experiments, this group is that which receives the real treatment to be judged, not the placebo.)

Term
Control group
Definition
The group in a designed experiment that receives a placebo, and serves as a benchmark against the experimental group.
Term
Designed experiment
Definition
A controlled study in which one or more treatments are applied to experimental units. The experimenter then observes the effect of varying these treatments on a response variable. Control, manipulation, randomization, and replication are the key ingredients of a well-designed experiment.
Term
Completely randomized design
Definition
An experiment in which the experimental units are randomly assigned the treatment.
Term
Continuous variable
Definition
A quantitative variable that has an infinite number of possible values that are not countable.
Term
Double-blind
Definition
Double-blind is a type of designed experiment in which neither the experimental unit nor the experimenter knows what treatment is being administered to the experimental unit.
Term
Variables
Definition
The characteristics of the individuals within the population.
Term
Data
Definition
A fact or proposition used to draw a conclusion or make a decision.
Term
Qualitative variables
Definition
Qualitative or Categorical variables allow for classification of individuals based on some attribute or characteristic.
Term
Qualitative data
Definition
Observations corresponding to a qualitative variable.
Term
Quantitative data
Definition
Observations corresponding to a quantitative variable.
Term
Quantitative Variables
Definition
Quantitative variables provide numerical measures of individuals. Arithmetic operations such as addition and subtraction can be performed on the values of a quantitative variable and provide meaningful results.
Term
Anecdotal
Definition
Information being conveyed is based on casual observation, not scientific research.
Term
Census
Definition
A list of all individuals in a population along with certain characteristics of each individual.
Term
Observational Study
Definition
An observational study measures the characteristics of a population by studying individuals in a sample, but does not attempt to manipulate or influence the variable(s) of interest. Observational studies are sometimes referred to as ex post facto (after-the-fact) studies because the value of the variable of interest has already been established.
Term
Control (Dealing with Factors)
Definition
Control is fixing the factors at one predetermined value throughout the experiment. These are variables whose effect on the response variable is not of interest.
Term
Explanatory Variables
Definition
Explanatory Variables, or factors, are the variables manipulated to determine the effect on the response variable in a designed experiment.
Term
Replication (In a Designed Experiment)
Definition
Replication is applying a treatment to more than 1 experimental unit.
Term
Approach
Definition
A way to look at and organize a problem so it can be solved. (A means of attack)
Term
Attack
Definition
A way of approaching a problem to attempt to solve it.
Term
Statistics: Process of
Definition

1. Identify the research objective

2. Collect the information needed to answer the questions posed in (1).

3. Organize and summarize the information. (This step is referred to as descriptive statistics.)

4. Draw conclusions from the information.

Term
Datum
Definition
Singular of data.
Term
Descriptive Statistics
Definition
Statistics that consists of organizing and summarizing the information (data) collected.
Term
Inferential Statistics
Definition
Statistics that uses methods to take results obtained from a sample, extends them to the population, and measures the reliability of the result.
Term
Lurking Variable
Definition

A lurking variable is a variable that is related to either the response or predictor variable, or both, but is excluded from the analysis.

 

(Hidden variables, or variables that have failed to be accounted for.)

Term
Matched-pairs design
Definition

A matched-pairs design is an experimental design in which the experimental units are paired up.  The pairs are matched up so that they are somehow related (example: same person before and after a treatment, twins, husband and wife, same geographical location, lawyer and cesspool cleaner, and so on.)  There are only two levels of treatment in a matched-pairs design. 

 

Sometimes called before-after or pretest-posttest experiments. 

v1: 

A randomized block design in which the experimental units are somehow related.

 

 

Term
Association
Definition
The probability of a link between 2 variables in a observational study. Indicates a relationship, but not necessarily a cause and effect.
Term
Causation
Definition
The probabilty in a designed experimet that the explanatory variable causes the resulting response variable value. (Cause and Effect)
Term
Frame
Definition
A list of all the individuals within the population.
Term
Simple random sample
Definition
A sample obtained by simple random sampling.
Term
Seed
Definition
The number that in a random-number generator that provides an initial point for the generator to start creating random numbers. (The seed can be any nonzero number.)
Term
Sampling without replacement
Definition
Creating a sample from a frame without allowing any individual to be selected twice.
Term
Stratified Sampling
Definition
Sampling that is done by separating the population into nonoverlapping groups called strata and then obtaining a simple random sample from each stratum.
Term
Stratum
Definition
A single group in stratified sampling. (Plural is Strata)
Term
Strata
Definition
Nonoverlapping groups obtained by breaking up a population by some common value or trait. (Stratum is the singular)
Term
Systematic sample
Definition
A systematic sample is obtained by selecting every kth individual from the population. The first individual selected is a random number between 1 and k.
Term
Subject
Definition
A person, object, or some other well-defined item that is a member of the population being studied and upon which a treatment is applied. (See Experimental unit and Individual.)
Term
Stratified sample
Definition
A stratified sample is obtained by separating the population into nonoverlapping groups called strata and then obtaining a simple random sample from each stratum. The individuals within each strata should be homogeneous (or similar) in some way.
Term
Systematic Sampling
Definition
Sampling that is done by selecting every kth individual from the population. The first individual selected corresponds to a random number between 1 and k. *f(x) = p + (x-1)k Where p = randInt(1,k) and k = Int(N/n)*
Term
Cluster Sampling
Definition
Sampling done by selecting all individuals within a randomly selected collection or group of individuals.
Term
Cluster sample
Definition
A cluster sample is a sample obtained by selecting all individuals within a randomly selected collection or group of individuals.
Term
Convenience Sampling
Definition
Sampling in such a way the individuals are easily obtained.
Term
Convenience sample
Definition
A sample in which the individuals are easily obtained.
Term
Sampling error
Definition
Error that results from using sampling to estimate information regarding a population. This type of error occurs because a sample gives incomplete information about the population. (Expected error).
Term
Self-selected
Definition
The individuals themselves decide to participate in a survey. Also known as voluntary response samples.
Term
Voluntary response samples
Definition
Samples in which the individuals decide to participate. Also known as self-selected.
Term
Non-Sampling Errors
Definition
Errors that result from the survey process. They are due to the nonresponse of individuals selected to be in the survey, to inaccurate responses, to poorly worded questions, to bias in the selection of individuals to be in the survey, and so on.
Term
Biased
Definition
When a statistic consistently overestimates or underestimates a parameter.
Term
Underrepresented
Definition
Underrepresented is a insufficiently or inadequately represented subset of the population, that as a result of the sampling method tends to get excluded.
Term
Categorical variables
Definition
Qualitative or Categorical variables allow for classification of individuals based on some attribute or characteristic.
Term
Closed question
Definition
One in which the respondent must choose from a list of predetermined responses.
Term
Claim
Definition
The explicit statement of the problem. The statement should provide the experimenter with direction. In addition, the statement must identify the response variable and the population to be studied.
Term
Open question
Definition
One in which the respondent is free to choose his or her response.
Term
Nonresponse
Definition
Nonresponse is when a individual selected for the sample does not respond to the survey.
Term
Callback
Definition

A method to help minimize nonresponse. Involves contacting the individual again, possibly with a different method.

 

(See leave-me-alone-already) 

Term
Rewards and incentives
Definition

A method to help minimize nonresponse. Involves Bribery, or indications that their opinion will be valued in making some decision.

 

(See waiting on hold hearing "Your call is important to us".)

Term
Response variable
Definition
The variable in a designed experiment that represents the variable of interest.
Term
Statistics
Definition
The science of collecting, organizing, summarizing, and analyzing information in order to draw conclusions.
Term
Population
Definition
The population is the group that is to be studied.
Term
Sample
Definition
A subset of the population.
Term
Individual
Definition
A person, object, or some other well-defined item that is a member of the population being studied, and upon which a treatment is applied.
Term
Descriptive Statistics
Definition
Descriptive statistics consists of organizing and summarizing the information collected.
Term
Inferential Statistics
Definition
Inferential statistics uses methods that generalize results obtained from a sample to the population and measure their reliability.
Term
Placebo
Definition

An inactive substance against which investigational treatments are compared for efficacy.

 

example: An innocuous medication such as a sugar tablet.

Term
Experimental Unit
Definition
A person, object, or some other well-defined item to which a treatment is applied.
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