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Statistics
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77
Mathematics
Undergraduate 1
01/19/2010

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Term
Methods for organizing and summarizing information and includes the construction of graphs, charts, and tables and the calculations of various measures such as averages, measures of variation, and percentiles.
Definition
Descriptive Statistics
Term
Methods for drawing and measuring the reliability of conclusions about a population based on the information obtained from a sample of the population.
Definition
Inferential Statistics
Term
Methods for drawing and measuring the reliability of conclusions about a population based on the information obtained from a sample of the population.
Definition
Inferential Statistics
Term
The collection of all individuals or items under consideration in a statistical study.
Definition
Population
Term
That part of the population from which information is obtained.
Definition
Sample
Term
Statistical classification where researchers simply observe characteristics and take measurements, as in a sample survey.
Definition
Observational Study
Term
Statistical classification where researchers impose treatments and controls and then observe characteristics and take measurements.
Definition
Designed experiment
Term
Statistical classification that can help establish causation.
Definition
Designed Experiment
Term
Statistical classification that can reveal only association.
Definition
Observational Study
Term
Directly obtaining information from the entire population of interest. This method may be too time consuming, costly, impractical, or even impossible.
Definition
Census
Term
A sample that reflects as closely as possible the relevant characteristics of the population under consideration.
Definition
Representative Sample
Term
A sampling procedure where a random device is used to decide which members of the population will constitute the sample.
Definition
Probability Sampling
Term
Sampling procedure which guarantees that the techniques of inferential statistics can be applied.
Definition
Probability Sampling
Term
A sampling procedure for which each possible sample of a given size is equally likely to be the one obtained.
Definition
Simple Random Sampling
Term
Two types of simple random sampling.
Definition
1. With Replacement (population member can be selected more than once)
2. Without Replacement (population member can only be selected once)
Term
Assumed type of simple random sampling in the textbook.
Definition
Without Replacement
Term
A device such as a software program or a calculator where someone can obtain a simple random sample.
Definition
Random-number generator
Term
Identify two methods other than census for obtaining information about a population.
Definition
Sampling and experimentation
Term
The sampling method you would use if you were going to conduct a face-to-face survey of individuals over a wide geographic area.
Definition
Cluster Sampling
Term
Cluster Sampling Procedure - Step 1
Definition
Divide the population into groups or clusters.
Term
Cluster Sampling Procedure - Step 2
Definition
Obtain a simple random sample of the clusters.
Term
Cluster Sampling Procedure - Step 3
Definition
Use all the members of the clusters obtained in step 2 as the sample.
Term
Describe a problem that may render a cluster sampling unrepresentative.
Definition
Members of a cluster may be more homogeneous than the members of the entire population.
Term
Which is easier to execute, simple random sampling or systematic random sampling?
Definition
systematic random sampling
Term
Systematic Random Sampling Procedure - Step 1
Definition
Divide the population size by the sample size and round the result down to the nearest whole number, m.
Term
Systematic Random Sampling Procedure - Step 2
Definition
Use a random-number table or generator to obtain a number, k, between 1 and m.
Term
Systematic Random Sampling Procedure - Step 3
Definition
Select for the sample those members of the population that are numbered k, k+m, k+2m, ...
Term
Which is often more reliable, stratified sampling or cluster sampling?
Definition
Stratified Sampling
Term
When strata or subpopulations are sampled in proportion to their size.
Definition
Proportional Allocation
Term
When a survey combines one or more of simple random sampling, systematic random sampling, cluster sampling, and stratified sampling.
Definition
Multistage Sampling
Term
Stratified Random Sampling with Proportional Allocation Procedure - Step 1
Definition
Divide the population into subpopulations (strata).
Term
Stratified Random Sampling with Proportional Allocation Procedure - Step 2
Definition
From each subpopulation (stratum), obtain a simple random sample of size proportional to the size of the stratum. (stratum sample size)=(total sample size)x(stratum size)/(population size)
Term
Stratified Random Sampling with Proportional Allocation Procedure - Step 3
Definition
Use all the members obtained in step 2 as the sample.
Term
A way of summarizing data that are measured on an interval scale (either discrete or continuous). It is often used in exploratory data analysis to illustrate the major features of the distribution of the data in a convenient form. It divides up the range of possible values in a data set into classes or groups. For each group, a rectangle is constructed with a base length equal to the range of values in that specific group, and an area proportional to the number of observations falling into that group. This means that the rectangles might be drawn of non-uniform height.It is only appropriate for variables whose values are numerical and measured on an interval scale.
Definition
Histogram
Term
Describes any method of sampling that utilizes some form of random selection.
Definition
Probability Sampling
Term
A plan for assigning subjects to treatment conditions.
Definition
Experimental Design
Term
In a designed experiment, the individuals or items on which the experiment is performed.
Definition
Experimental Units. (People are often referred to as subjects)
Term
The three principles of experimental design.
Definition
Control, Randomization, and Replication
Term
The three methods of obtaining information.
Definition
Census, Sampling, and Experimentation
Term
An example of experimental design: Three different groups of runners are subjected to different training methods. The runners are the __ __, the training methods, the __, where the three types of training methods constitute three levels of the __ 'type of training'.
Definition
experimental units (subjects), treatments, factor
Term
The characteristic of the experimental outcome that is to be measured or observed.
Definition
Response Variable
Term
How does the principles of experimental design benefit a researcher?
Definition
Improves the accuracy of the results.
Term
In experiments, a ___ is something that researchers administer to experimental units. For example, a corn field is divided into four sections, different fertilizers are applied to each section to determine which produces the most corn.
Definition
Treatment
Term
The ___ may imply the amount or magnitude that is administered to the experimental units.
Definition
Level
Term
In an experiment, a variable whose effect on the response variable is of interest.
Definition
Factor. Different treatments constitute different levels of a factor.
Term
In a designed experiment, what five characteristics should be defined?
Definition
1. Experimental Units
2. Response Variable
3. Factors
4. Levels of Each Factor
5. Treatments
Term
An experimental design in which all the experimental units are assigned randomly among all the treatments.
Definition
Completely Randomized Design
Term
An experimental design in which the experimental units are assigned randomly among all the treatments separately within each block.
Definition
Randomized Block Design
Term
This is the procedure by which experimental units are grouped into homogeneous clusters in an attempt to improve the comparison of treatments by randomly allocating the treatments within each cluster.
Definition
Blocking
Term
If two groups take part in an experiment with one group receiving the specified treatment and the other an inactive treatment, what is the name of the group that receives the specified treatment?
Definition
Treatment Group
Term
If two groups take part in an experiment with one group receiving the specified treatment and the other an inactive treatment, what is the name of the group that receives the inactive (placebo) treatment?
Definition
Control Group
Term
A characteristic that varies from one person or thing to another.
Definition
Variable
Term
A nonnumerically valued variable.
Definition
Qualitative Variable
Term
A numerically valued variable.
Definition
Quantitative Variable
Term
A quantitative variable whose possible values can be listed.
Definition
Discrete Variable
Term
A quantitative variable whose possible values form some interval of numbers.
Definition
Continuous Variable
Term
The values of a variable for one or more people or things.
Definition
Data
Term
The information collected, organized, and analyzed by statisticians.
Definition
Data
Term
The information collected, organized, and analyzed by statisticians.
Definition
Data
Term
Values of a qualitative variable.
Definition
Qualitative Data
Term
Values of a quantitative variable
Definition
Quantitative Data
Term
Values of a discrete variable.
Definition
Discrete Data
Term
Values of a continuous variable.
Definition
Continuous Data
Term
Each individual piece of data.
Definition
Observation
Term
The collection of all observations for a particular variable.
Definition
Data Set
Term
A graph that displays the classes on the horizontal axis and the frequencies of the classes on the vertical axis. The frequency of each class is represented by a vertical bar whose height is equal to the frequency of the class.
Definition
Frequency Histogram
Term
A graph that displays the classes on the horizontal axis and the relative frequencies of the classes on the vertical axis. The relative frequency of each class is represented by a vertical bar whose height is equal to the relative frequency of the class.
Definition
Relative-Frequency Histogram (Better than frequency histograms for comparing two data sets)
Term
Putting data into groups rather than treating each observation individually.
Definition
Grouping
Term
Categories for grouping data
Definition
Classes
Term
The number of observations that fall in a class
Definition
Frequency
Term
A listing of all classes and their frequencies
Definition
Frequency Distribution
Term
The ratio of the frequency of a class to the total number of observations
Definition
Relative Frequency
Term
A listing of all classes and their relative frequencies
Definition
Relative-Frequency Distribution
Term
The smallest value that could go in a class
Definition
Lower Cutpoint
Term
The smallest value that could go in the next higher class (equivalent to the lower cutpoint of the next higher class)
Definition
Upper Cutpoint
Term
The middle of a class, found by averaging its cutpoint
Definition
Midpoint
Term
The difference between the cutpoints of a class
Definition
Width
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